diff --git "a/data/dm_maths/full_data/5831_11255.jsonl" "b/data/dm_maths/full_data/5831_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data/5831_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: What is the tens digit of 3865367999?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 1071 (base 12) in base 9?\nAnswer: 2434","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5\/(210\/306) + -7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-224)\/(-420)*3\/2. Factor -2\/5 + 8\/5*c - 2*c**2 + g*c**3.\nAnswer: 2*(c - 1)**2*(2*c - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c - 5*d = -8*d - 3, -5*c = 2*d - 36. Suppose c*v = -587 + 1775. Is v a multiple of 67?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.851 rounded to zero dps?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 127 - -24. List the prime factors of s.\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -s - 3. Let h = 73 + -90. Let r = h - -23. What is v(r)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -1*(-2)\/6*0\/104. Suppose 4*n - 6*n = 0, s = 5*g - 2*n - 2175. Calculate the greatest common factor of g and 87.\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + 3 = -4*i + 3*i, -4*i = -2*z - 8. Suppose i*o - 54 = -0*o. What is the units digit of o?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) -597 (b) -497 (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -h + 51. Let l(v) = 217797*v**2. Calculate u(l(r)).\nAnswer: -217797*r**2 + 51","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4? (a) -2\/15 (b) -1 (c) 22.36\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -31634, -63273, -94912, -126551?\nAnswer: -158190","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 3*g - l, -4*g + 8 = -0*l + 2*l. What is the first derivative of 0*o**2 + 10 - 4*o**g + 4*o**2 + o**3 wrt o?\nAnswer: 3*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2302 a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*h**2 + 0 + 2 - h**2)*(-444*h - 286*h + 105*h).\nAnswer: -1250*h**3 - 1250*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1.2 in 4, 0.5, -0.4, 5?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 103008*o*y**3 - 57933*y**3 wrt o?\nAnswer: 103008*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 23481661559 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 3491, 4476, 6151, 8510, 11547, 15256, 19631, 24666?\n\"Answer: -j**3 + 351*j**2 - 61*j + 3202","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 66038 is divided by 3648?\nAnswer: 374","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) be the first derivative of -3*y**5 - 7*y**4\/4 + 433*y**3\/3 - y**2 - 687. What is the third derivative of u(o) wrt o?\nAnswer: -360*o - 42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 46049 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = c**2 + 17*c - 13. Let b(t) = 689*t + 670. Let n be b(-1). Give v(n).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2 + -9.6.\nAnswer: -11.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 19*f**4*s - 5810*f**3*s**2 - 8*f**2 - f*s**2 - 4*f*s - 4*f + 17*s**2 wrt f?\nAnswer: 456*f*s - 34860*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) -2.7 (b) 6 (c) 5 (d) -99479\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 171022442*0.2\nAnswer: 34204488.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Are -199394 and 402 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 0*(44\/(-8))\/11. Let r(g) = g**2 - 11. What is r(t)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor k**3 - 3158*k**2 + 1709521*k - 256437720.\nAnswer: (k - 2520)*(k - 319)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 0 + 1 + (-1 + 6 - 3)*(2 + 5 - 5))*(11*h - 2*h - 6*h) - 2*h + 2 - 2 + h - 5*h + 3*h.\nAnswer: 6*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 2453 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 5279 + -3738. Does 29 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-14)\/65 - 3\/(126\/140)*264\/2200?\nAnswer: -8\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uuueuqujuuuqequq. Give prob of sequence qq.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 o and 2 f when four letters picked without replacement from ofsolfsfasf?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 78 divide 38918178?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 36327.19nm in meters?\nAnswer: 0.00003632719","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 493 + -431. Let o be -81 + 1 + 0 - (-58 + p). Which is bigger: -83 or o?\nAnswer: -83","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -5 + 69\/9 + -4 + (-128)\/(-24). Let r(w) = -w**3 + 7*w**2 + 3*w - 9. Let y be r(7). Solve -12 = -2*j - k*t - 2, 0 = -5*j + 3*t + y for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 202381 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/9? (a) 1\/31 (b) -1\/3 (c) 21 (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -322 + 322.4. Which is the nearest to 2? (a) n (b) 4\/3 (c) 1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.021 from -11.5.\nAnswer: -11.479","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 3861, 7718, 11575, 15432?\n\"Answer: 3857*j + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 2, j: 6, s: 10}. Give prob of picking 3 j.\nAnswer: 5\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p + 2*d = -43, -4*d = 3*p + d - 8. Suppose 5*h - 28 = -w, 7*h + 32 = 11*h + 4*w. What is the least common multiple of h and p?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 112 and 4732?\nAnswer: 18928","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1196*u - 1227*u = -279 for u.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -18.8151 to one dp.\nAnswer: -18.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 5979 and 8081615.\nAnswer: 1993","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 124207129 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = 2*i**3 + 15*i**2 - i + 62. Calculate g(5).\nAnswer: 682","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 17722 + -9735. Round g to the nearest 100.\nAnswer: 8000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -15, 5, 2 in decreasing order.\nAnswer: 5, 2, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 - 2 - (13 - 7).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-6)\/(-21))\/((-24)\/105).\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 92556676 divided by -23139169?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) be the first derivative of 10*j**3\/69 - 22*j**2 - 816*j\/23 + 515. Factor o(r).\nAnswer: 2*(r - 102)*(5*r + 4)\/23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -18386, -18448, -18612, -18884, -19270?\nAnswer: -19776","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -3, -3\/7, -2, -1076?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 14740 and 1277221?\nAnswer: 737","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: Let a be 6\/((4 - 3)*2). Suppose 5*l - 3*p = -6*p - 39, -3*p = a*l + 27. Does 35 divide (-208)\/l - (-1)\/3*1?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 26*l**2*n**3*o - 23*l**2*n - 2*l**2*o - 5*l*n**2 - l*n*o - 3*l*n - 2*n**3 wrt l?\nAnswer: 52*n**3*o - 46*n - 4*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 960401 to the power of 1\/2, to the nearest integer?\nAnswer: 980","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -43.5*2.61\nAnswer: -113.535","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 0 + 0)*(3571*h + 3577*h - 10717*h + 3573*h - 1607*h**2).\nAnswer: -1607*h**2 + 4*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.054 - -0.05291. Round h to 4 decimal places.\nAnswer: -0.0011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5*h - 3*h + 3*h)*(-117 + 86 - 196) as g*h + w and give g.\nAnswer: 1135","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) be the second derivative of 4\/3*q**3 + 1\/3*q**4 - 98*q + 0 - 70*q**2. Suppose h(i) = 0. Calculate i.\nAnswer: -7, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2 + 5. Let x = 6 - l. Find the third derivative of 0*z**2 - 4*z**2 + 2*z**6 + x*z**2 wrt z.\nAnswer: 240*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = 2*c**2 + 10*c - 44. Let n be i(-8). Solve -30*b = -n*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -k**2 + k - 1. Let b(h) = -3*h**2 + 6*h - 6. Suppose -7*n + 0 = 7. Determine n*b(s) + 6*j(s).\nAnswer: -3*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32 = 4*w - 2*w. Let j(m) = -2*m - 18. Calculate the least common multiple of ((-9)\/(-4))\/((-2)\/w) and j(-14).\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c - d = -17, 6*d + 36 = 4*c + 10*d. Suppose -3*a + 5*r + 15 = 1, -2*r = -c*a + 14. Calculate the remainder when 31 is divided by a.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -23731\/552486 - -35\/726. Which is the closest to -1? (a) 4 (b) g (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*b = 0, -2*w - 4*b + 2 = -9*b for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 105*k**3 - 7570*k**2 - 72581510*k wrt k.\nAnswer: 630*k - 15140","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 6378333 from -0.8.\nAnswer: -6378333.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 141\/13 - 11. Let u be (2\/(-15))\/(66\/(-4160)). Let o = u + -74\/9. Which is the nearest to 1? (a) 1 (b) j (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d = t + 39, 0*d = 4*d + 5*t + 93. Let n = 19 + d. What is the units digit of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 7 + -6. Let s be (q - -2)\/(-1) + 7. Let j(a) = 16*a**2 - 8*a + 8. Let i(n) = -9*n**2 + 4*n - 4. Let k(u) = -7*i(u) - 4*j(u). Give k(s).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1.9 - 2. Let f be 2\/7 - 20\/21. Suppose 6 = 4*y - 4*n - 10, -5*y - 5*n = -30. Which is the second smallest value? (a) l (b) f (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/7, 5, 4, -182, 2 in increasing order.\nAnswer: -182, 2\/7, 2, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 21926 (base 11) to base 6.\nAnswer: 402522","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 23*p**2 - 4*p**3 - 23*p**2.\nAnswer: -4*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:32 AM and 5:01 AM?\nAnswer: 209","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 40, -4, -49, 5 in descending order.\nAnswer: 40, 5, 2, -4, -49","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = 3*b**2 - 205*b + 89. Suppose -3*d = 5*x - 2*d - 51, -3*d = 2*x - 10. What is the remainder when z(68) is divided by x?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (2\/(-8))\/(10\/(-200)) - 3. Let z(o) = 5*o**3 + 7 + 0*o**d - o + o**2 + 9*o. Let a(f) = 4 - 1 - 4*f**3 - 7*f - 9 - f**2. Determine 7*a(w) + 6*z(w).\nAnswer: 2*w**3 - w**2 - w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -102*a**2*h**2 + 8*a**2*h - 2*a*h**2 + 2*a + 4*h**2 + 11*h wrt h?\nAnswer: -204*a**2 - 4*a + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -5305 - -5462. What is the remainder when h is divided by 52?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -5\/2926 - -3671\/8997450. Let u = x + -73177\/6150. What is the common denominator of -7\/22 and u?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 3, h: 5}. Give prob of sequence qqqh.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -24127*b - 14234938. What is d(-590)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = -3*d + 39. Let o(i) = i**3 - 10*i**2 - i + 10. Let z be o(d). Suppose z*s + 5*s - 3535 = 0. Is s a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 223*o - 106 - 108 = -3*a, 3*a + 12 = -0*a + 3*o for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-27)\/(-29) + 246\/3567. Solve d = -3*z - 9, -3*z - 10 = -3*d - t for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -16 - (4 + -26 + 1).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-2 + 0 - -1)\/1. Let p be 7 - (6 - g) - (-12)\/117. Which is bigger: -1 or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1110011011101100 - 101010001?\nAnswer: 1110010110011011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -222? (a) -0.2 (b) 5 (c) 2 (d) -53.2 (e) -1151\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-84)\/60)\/((-24)\/120).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4 * 1272981.\nAnswer: 5091924","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -107, -141, -175, -209, -243, -277?\n\"Answer: -34*z - 73","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -58 (b) -0.5 (c) 1\/9 (d) 1\/3 (e) -10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 14887351 divided by -5?\nAnswer: -14887351\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 0 + 19)*(31*r - 31*r - 28*r**2).\nAnswer: -448*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -88410 divided by -2105?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 divided by 24293.\nAnswer: 5\/24293","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6397 + 18*d + 6397 - 15*d.\nAnswer: 3*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 71915 to the power of 1\/2, to the nearest integer?\nAnswer: 268","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1511 - -1516. Which is the third biggest value? (a) 2\/35 (b) -0.07 (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n + 2*h - 1 = 8, 2*n - 6 = -h. Suppose 0 = -3*i - 3*o + 33, -2*o = n*i - 31 - 0. Suppose -i*a = -0*a - 1260. What are the prime factors of a?\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) be the second derivative of -z**6\/120 - z**5\/20 + 7*z**4\/24 + 3*z**3\/2 + 13*z**2\/2 - 27*z - 2. Let y(l) be the first derivative of a(l). Give y(-4).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(7\/3))**(26\/3)*(x\/x**(-1\/25)*x)**5 assuming x is positive.\nAnswer: x**(1369\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -18\/3287255 and -63\/8?\nAnswer: 26298040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 54 = 4*u + s, u = -3*s + 13*s + 34. Solve 4*o = -5*q + 9, 19*q - 33 = 2*o + u*q for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -41\/90 and 157\/98738370?\nAnswer: 98738370","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -2396859*1\nAnswer: -2396859","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*r = 5*l + 5, l = 3*r + 1 - 6 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -2 - a + 28*a**2 + 3*a + 1 - 38*a**2. Calculate n(1).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = 6*m**2 - 4*m - 1. Suppose -t + 1 = -g, -2*t = 5*g + 3*t - 15. Suppose a + 2*v - g = 0, -2*v = -0*a - 3*a - 21. Is 51 a factor of h(a)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1326\/(-136)*22\/(-33)?\nAnswer: 13\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m and 1 w when two letters picked without replacement from wnnrncnmcnnwnnpnpn.\nAnswer: 2\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 86116, 12, 0.1, 2\/5, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -3 - -136?\nAnswer: 133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 3013?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -31 divided by -15.\nAnswer: 31\/15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2163128?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -183*o = 3450 - 18090 for o.\nAnswer: 80","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 79328426659 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 11560.7 + -11558. What is the second smallest value in 0.1, d, 0.4, 3, 15\/7?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -348*d**4 - 35*d**2 + 2*d**5 + 354*d**4 - d**5 wrt d.\nAnswer: 60*d**2 + 144*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -2192a144 + 2?\nAnswer: -2192a142","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 354 minutes after 1:48 AM?\nAnswer: 7:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-12)\/(-10)*56035\/(-4803).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -184a + -5?\nAnswer: -1850","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 10*(6\/5)\/2. Let a(m) = m**2 - 6*m - 5. Let u be a(i). Let h(s) = -s**2 - 5*s - 5. Determine h(u).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -d**4*t + 834*d**4 + 51*d**3*t + 6*d**3 - 4919*d**2*t + 345*t wrt d.\nAnswer: -24*d*t + 20016*d + 306*t + 36","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*v**2\/9 - 664*v - 23872\/9.\nAnswer: -2*(v + 4)*(v + 2984)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + 139 = 25. What is the remainder when v is divided by 20?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -m**3 + 155*m**2 - 441*m - 2550. Determine z(152).\nAnswer: -270","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.0563 kilograms in grams?\nAnswer: 2056.3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2006921927?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -52 + 50. Let y be (-5)\/b - (-2)\/(-4). Suppose -y*g - g = 0. Solve 0 = 5*q - 4*h - 31, 3*q + g*h - 25 = 4*h for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*v - 5*v + 285. Suppose c = -3*w + 65, -2*c - 2*w = -225 + v. Let g = c - 22. Is g prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2470?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = g**3 - 206*g**2 - 6535*g - 65844. Determine k(235).\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 1, u: 1, n: 1, a: 4, m: 1}. Give prob of sequence wm.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(114) - sqrt(114)*1)*-2 + (sqrt(114) + sqrt(114) + sqrt(114)*1*-2 - sqrt(114)))\/(-1*-5*sqrt(24)\/sqrt(4)))**2.\nAnswer: 19\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 811.251044 rounded to 0 decimal places?\nAnswer: 811","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1652 is divided by 26?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -10? (a) 8 (b) -7 (c) -0.5 (d) 3 (e) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -c88e09 (base 16) to base 7.\nAnswer: -216501264","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/(-12)*3 - 63\/(-84)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 428215935 divided by 142738645\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 345 minutes after 9:31 PM?\nAnswer: 3:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide 13 by -43279085.\nAnswer: -13\/43279085","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 28 + -14. Solve -2*j - 5*n = 2*j + 24, 3*n = -2*j - k for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (8556\/114080)\/(2\/(-20))?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = 2*t**2 + 3*t - 3. Let p be f(-3). Let n(v) = p - 2 + 4*v**2 - 7*v + 2*v. What is the units digit of n(3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -2*j**3 + 4*j**2 - 2*j + 2. Let o be q(-4). Suppose 0 = 4*k - 5*v - 141, k + 108 = 4*k - 3*v. Suppose -z = k - o. Is z composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1627215 equal to 1627214?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*t**(-1\/19))\/t**(-7)*(t**(-2)*t)\/(t*t**(-2\/29)) assuming t is positive.\nAnswer: t**(3315\/551)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 5636390 rounded to the nearest 10000?\nAnswer: 5640000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 517062536?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2.3 - 2.3. Let j = r + -1. Which is greater: j or -1.7?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*x - 15*z - 5*z - 2*z + 609 = 0, 70 - 1 = -3*x + 2*z for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -17778.9 + 17779. Sort w, 1\/2, 0.027 in decreasing order.\nAnswer: 1\/2, w, 0.027","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 4635689092?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.8 times -111763?\nAnswer: 89410.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(357)\/sqrt(7)*5 + sqrt(51))\/sqrt(3).\nAnswer: 6*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 76\/5 of a litre in millilitres?\nAnswer: 15200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-9)\/(-4))\/(171\/456)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 11\/(-171) + 12\/54. Let w = o + 29\/57. Which is smaller: w or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 44, -206, -612, -1168, -1868, -2706, -3676?\nAnswer: -4772","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -2 - (8 + 264\/(-40) - (-4)\/(-10)). Let a(z) = 32*z. Let y(m) = 32*m. Calculate x*a(f) + 2*y(f).\nAnswer: -32*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from gttuukattaat. What is prob of picking 1 u, 1 g, and 2 t?\nAnswer: 4\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -36*a**3 + 36*a**2 - 15*a + 42. Let m(n) = 5*n**3 - 5*n**2 + 2*n - 6. Calculate 15*m(x) + 2*r(x).\nAnswer: 3*x**3 - 3*x**2 - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 391730?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1\/6 (b) -3\/100 (c) -4\/5 (d) 0.03\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) be the second derivative of -q**3\/6 - q**2 + 3*q. Let d be o(-8). What is the third derivative of 5*w**2 - d*w**2 - 2*w**2 + w**4 wrt w?\nAnswer: 24*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 9858 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 266 divided by -2.\nAnswer: -133","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -28.20967+-2\nAnswer: -30.20967","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) be the first derivative of -a**4\/4 + a**2\/2 + 745*a + 38. Suppose 10 = -4*v - 2*h, 2*h + 10 = v + v. Is s(v) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 14*l + 4*l - 18 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 12, o: 1}. Give prob of sequence oh.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 10.14 - 13.14. What is the closest to -1\/3 in -5, c, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 53669 and 1804?\nAnswer: 451","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p = 2*p - 180. Solve p = -2*a + 5*z, -a - 6*z = -3*z - 7 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from iykyiiyyyiiiiikyi. What is prob of sequence ikky?\nAnswer: 9\/4760","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x + 5*x - 8 = -4*v, 4*v = -12. Suppose -a - x = -2*d - 3*a, 3*d - 4*a - 6 = 0. Suppose d*b + b - t = 23, 2 = 2*t. Which is greater: b or 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2\/31 or 1297534?\nAnswer: -2\/31","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -j**2 - 277*j + 1413. Let g be b(5). Let w(i) be the third derivative of -i**5\/60 + i**4\/6 + i**3\/3 - i**2. Determine w(g).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1090 and 50?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2*(-3)\/6*36*(-4)\/(-16).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 12 - 3. Suppose -a = 2*u + 2, 7*u - 2*u + 3*a = -6. What is the remainder when u\/4 - (-50)\/2 is divided by i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7.95954 days to milliseconds.\nAnswer: 687704256","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(192)*6*5*1)\/(-1*(sqrt(144)*2 - sqrt(144)) - (-2*(sqrt(144) + 1*sqrt(144) + sqrt(144)) - sqrt(144))).\nAnswer: 10*sqrt(3)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-894)\/1192*(8\/(-219))\/(-2).\nAnswer: -1\/73","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -484*v + 35 - 16 + 0 + 37. Let g be f(-11). What is g rounded to the nearest one hundred?\nAnswer: 5400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ll when two letters picked without replacement from sllllllllllll.\nAnswer: 11\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.12 + 2.47?\nAnswer: 2.35","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-1252)\/(-24) + (-12)\/72. Suppose i = 5*d + 8*d. Calculate the least common multiple of d and 11.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 36*d - 12 = 39*d for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -1548.52099 to the nearest 100.\nAnswer: -1500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 o when two letters picked without replacement from {o: 4, i: 6}.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 3564.728 to the nearest integer.\nAnswer: 3565","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 202 (base 3) to base 2.\nAnswer: 10100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5*c + 0*c - 4*c)*(-39*c + 1268 - 1268) - c**2 + 0*c**2 - 2*c**2 - 2*c + 2*c + c**2 to p + o*c**2 + v*c and give o.\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-1)\/2)\/((-4)\/96). Suppose o = -o + a. Factor -7*v + 6*v**2 - o - 8*v + 12.\nAnswer: 3*(v - 2)*(2*v - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1838819309 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h - 11 = -a + 3*a, a = -4*h + 22. Let m(t) = t**2 - 4*t - 5. Let n be m(5). Suppose -1 = x - n*x. Put h, 2, x in increasing order.\nAnswer: x, 2, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 greater than or equal to -197\/97271?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Determine u so that -7*u**5\/6 + 43*u**4\/6 + 259*u**3\/6 + 137*u**2\/6 - 42*u - 30 = 0.\nAnswer: -3, -1, -6\/7, 1, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2\/7, 9, -1732, -14, 0, 3?\nAnswer: -1732","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-2)\/(-7) + 1440\/56. Is 11 + (-179284)\/(-91) + (-4)\/i a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 39\/8 + -51\/8. Which is the nearest to 2\/3? (a) 2 (b) 2\/5 (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2.016*-0.07213.\nAnswer: 0.14541408","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 67091051 is divided by 2236368?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*m = 7 - 3 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -5 - -8. Let u = -114 + 1141\/10. Let c = 43.6 - 44. What is the closest to -1\/2 in u, n, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) be the third derivative of -n**4\/24 - 5*n**2. Let v(z) = -z**2 + 11*z + 5. Let l be v(11). Let u(b) = -l*b + 3*b**2 + 7*b - 2*b. Calculate g(u(t)).\nAnswer: -3*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m - 4*c = -126, -m + 3*c + 31 = 2. Suppose -m*f + 7*f + 171 = 0. Let p(q) = q**2 - 11*q + 4. Determine p(f).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:29 PM and 8:30 PM?\nAnswer: 121","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14 = -5*n + y, -25*n = -26*n - y + 2 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.091 times -0.3?\nAnswer: 0.0273","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 - (-1 - 2) - (38 + -38)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 924591915?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (6*(sqrt(8)*3 - sqrt(2)))**2 + (sqrt(10) - sqrt(10)*-2*5)\/(sqrt(5)*2*-1) + 4.\nAnswer: -11*sqrt(2)\/2 + 1806","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.0984475 and 170.612.\nAnswer: 170.5135525","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 3707 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:43 PM and 7:52 PM?\nAnswer: 249","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 82512 and 20?\nAnswer: 412560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -106 + 10 = -85*s + 74. Sort -108, 1\/5, 5, s in decreasing order.\nAnswer: 5, s, 1\/5, -108","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 3, 9, 4, 168 in decreasing order.\nAnswer: 168, 9, 5, 4, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*j - 12*j = -1155. Find the second derivative of -5100 + 5100 - 109*b**3 + j*b wrt b.\nAnswer: -654*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 70 = 7*j + 49. What is the third biggest value in -0.1, 0.2, 0.05, -0.15, j?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -110111100110000111111 (base 2) to base 11.\nAnswer: -1034795","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -27896 rounded to the nearest one thousand?\nAnswer: -28000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = 5848*s**3 + 8*s**2 + 4*s - 8. Let v be f(8). Let w = -695294 + v. Let a = w - 1519418. Round a to the nearest 100000.\nAnswer: 800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23 = g - 5*i, -3*g + 7*g - 2*i + 2 = 0. Factor 4*t**g + 149 - 114 - 12*t - 75.\nAnswer: 4*(t - 5)*(t + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 103836 = -237*h + 78951 for h.\nAnswer: -105","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 237.\nAnswer: 3, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -1101 (base 2) to base 5\nAnswer: -23","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -12*w**2 + 7*w**4 + 12*w**2 + (-w**2 - 6*w**2 + 10 - 5)*(-2*w**2 + w**2 + 0*w**2).\nAnswer: 14*w**4 - 5*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -44997 rounded to the nearest one thousand?\nAnswer: -45000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 35849.7977 to the nearest ten thousand.\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -74*n + 59*n = -480. Calculate the highest common factor of 108 and n.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 4 - 0. Let s(n) = n**2 - 4*n - 1. Let v be s(5). Let q be 8\/(-14) - 60\/(-105). Solve v*p = -q*p - z for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + 57 = -36. Let x be u*3\/9*3. Suppose 3 = 4*o - x. What is the remainder when 46 is divided by o?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -23435487.0000005 - -23435503. Let p = r - 16. Round p to six dps.\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 23279?\nAnswer: 23279","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2102 + 2011?\nAnswer: 11120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = 6*y**2 + 2*y - 5. Let l be v(6). Let c = -683 + l. Round c to the nearest 100.\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1379 + 2827. List the prime factors of w.\nAnswer: 2, 3, 701","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -17*c**2. Let u(q) be the first derivative of q**2\/2 + 6. Determine u(z(k)).\nAnswer: -17*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 + (-2 - 4) - (-5 - -3).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i = -t + 16, 7*t - 29 = -2*i - 1. Solve i*s - 145 = -152 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 148593 is divided by 148593.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4\/81? (a) -1\/4 (b) 13\/9 (c) -0.23\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -18841*a**3*h*m**2 + 905*a**3*h + 507*a**2*h*m - 619*a**2*h + 6*a**2*m**2 wrt a.\nAnswer: -113046*h*m**2 + 5430*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -8197968 divided by -2424\nAnswer: 3382","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -392, -1, 0.6.\nAnswer: -392, -1, 0.6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-240)\/36)\/((-24)\/270)*(-71)\/(-213).\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2119?\nAnswer: 13, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -14*u**2 - 311*u - 22. Suppose -g - 156 = -145. Let d(a) = -3*a**2 - 62*a - 4. Let c(n) = g*d(n) + 2*r(n). Suppose c(b) = 0. What is b?\nAnswer: -12, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4.7 times -1063\nAnswer: 4996.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -110*k - 2. Let v be x(-1). What is the greatest common divisor of v and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) be the first derivative of -y**2 + 2 - y + 2*y**2 - 1. Let g be t(8). What is the highest common factor of g and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -23.976 - -24. What is y rounded to two dps?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -36034 + 36276. Let j(a) = a**2 - a + 22. Let g be j(0). What is the greatest common divisor of o and g?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = c + 17 + 6*c - c**2 + 5*c + 0*c. Let i be m(13). What are the prime factors of ((-44)\/(-16))\/(1\/i)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3 - 2.8. Let l = i + -0.3. Suppose 3*v + 6 = -6. Which is the second biggest value? (a) l (b) v (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.034 * -55\nAnswer: 1.87","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 31591?\nAnswer: 7, 4513","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -44*c**3 + 1085 - 2191 + 1106.\nAnswer: -44*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*w**4 + 76*w**2 + 24*w - 288.\nAnswer: -4*(w - 4)*(w - 2)*(w + 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -9 or 0.09?\nAnswer: 0.09","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -21*k**3 - 2*k**2 - 2*k - 1. Let l be h(-1). What is the greatest common factor of 100 and l?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -38 - -38. What is the nearest to -6 in 2\/9, i, 3?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p - 3 = -18. Suppose -4*c = -p*r + 17, 4*c + 4*r - 33 = -r. Suppose 0 = f + c*f - 222. What is the remainder when f is divided by 19?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100101001 - -10?\nAnswer: 100101011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3158065627?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*v**2 - 28*v + 28*v.\nAnswer: -4*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -23*d**2 + 93*d - 26. Determine z(5).\nAnswer: -136","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -607.35456 to zero dps.\nAnswer: -607","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 4 - 7. What are the prime factors of m\/(-4) - 303\/(-12)?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -v**3 - 37*v**2 - 40*v - 143. Determine y(-36).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence um when two letters picked without replacement from {m: 3, f: 3, u: 1, s: 3}.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*i = -6*i + i. Suppose i = -u + 5, 47*u = g + 52*u - 17444. Is g a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:43 AM and 7:58 AM?\nAnswer: 195","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*j = 2*j - 24. Let q(s) = -5*s - 6. Let i be q(j). What is the greatest common factor of i and 48?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y - y + 6 = 0, 0 = b - y + 2. Let d be (6 - -1503)\/((-6)\/b). Suppose 0 = 4*s - 2*g - d, 2*s - 4*g = -8*g + 518. Is s prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 445256081 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1066384.\nAnswer: 2, 11, 73, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -x**3 - 16*x**2 + 20*x - 59. Calculate a(-18).\nAnswer: 229","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) be the first derivative of -31 + 0*q + 1\/5*q**2 - 1\/5*q**3. Solve y(o) = 0 for o.\nAnswer: 0, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (4 - 1) + (-25 - -21)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2101 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 124669 is divided by 256?\nAnswer: 253","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 89\/2 of a century?\nAnswer: 445","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1070)\/(-6))\/(2608\/(-978)) - 7\/(-8)?\nAnswer: -66","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -269*d**3 - 48*d**3 - 1288*d**3.\nAnswer: -1605*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dddd when four letters picked without replacement from {d: 17, x: 1}.\nAnswer: 7\/9","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 734776.\nAnswer: 2, 7, 13121","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = 4*o - 6*o. Suppose -9*s + 105 = -o*s. Suppose -3 - s = -2*q + 4*m, 3*m = q - 21. What are the prime factors of q?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (240\/(-56))\/(2\/(-14)). Suppose d + w = -d. Let b = 3 - d. Calculate the remainder when b is divided by 7.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 - 80893\nAnswer: -80894","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-10)\/4*18\/(-15). Let u be 40 + 6\/d*1. Let s = u + -26. Is s a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*r**2 - 5*r**2 - 3*r**2 + 20*r**3 + 14*r**2.\nAnswer: 20*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(162)*2 + -4 + -4 + sqrt(128)*1 + 4)**2*1.\nAnswer: -208*sqrt(2) + 1368","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0053803097 rounded to 4 dps?\nAnswer: -0.0054","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 73603 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -56005.7 rounded to the nearest one hundred?\nAnswer: -56000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (-780)\/(-240) + 18\/(-8) + 3?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*d - 17*d - 1 = 0. Let l be 3 + -2 - (2 + -2)\/d. Solve -4*f = -l - 3 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is 1100 to the power of 1\/7, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 364, 502, 732, 1054, 1468, 1974, 2572?\n\"Answer: 46*m**2 + 318","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2746 to the nearest integer?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = 10*b - b + b**3 - 2*b**2 - 11*b + 5 - b**2. Let r be k(3). Let h be (-24 + r)\/(-3*2\/8496). What is h rounded to the nearest 1000?\nAnswer: 35000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*y - 4*f = -28, 28*f + 30*f = -26*f + 81*f + 12 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/10 of a decade in years?\nAnswer: 3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 79456459 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 254\/5 (b) 6 (c) 3 (d) 1 (e) 0.2 (f) -3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Work out -4 * -0.007.\nAnswer: 0.028","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = q**2 - 10*q - 8. Suppose 42 - 6 = -4*k. Is t(k) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 x and 1 l when three letters picked without replacement from {d: 2, x: 3, y: 6, l: 2}?\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = m - 4*m. Let d = m - -3. Let w(l) = 2*l**2 + 0 + 2*l**2 + 1 - d*l. Calculate w(2).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*t + 3*a + 12 = 3*t, 4*a + 7 = 5*t. Let r(c) = -4*c**2 + 2*c + 1. Calculate r(t).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -20 + 18 - ((4 - 6) + 1 - 6)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4 - -12) + (-15 - 14 - 11 - -4).\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -114*m + 3191 - 3875 = 0 for m.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 239*f**3*p**3 - f**2*u**2 - 4*f*p**3*u + 11*f*u**2 + p**3*u**2 + 2*p**2*u**2 wrt f?\nAnswer: 1434*f*p**3 - 2*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = 3*v + 1. Let h(b) = 2358*b. What is z(h(y))?\nAnswer: 7074*y + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 10*(21\/(-6))\/7. Let f = w + 6. Put 2, f, -5 in increasing order.\nAnswer: -5, f, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4 - 2 + 0)*(-h**2 + 5*h**2 - h**2) to y*h + b + t*h**2 and give t.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z**2 - 7365635*z + 51559200 = 0. What is z?\nAnswer: 7, 1473120","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.13802, -2, -16862 in decreasing order.\nAnswer: -0.13802, -2, -16862","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 696 divided by 1.\nAnswer: 696","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -142*g**2 + 40*g**2 + 43*g**2 + 37*g**2 + 24*g**2.\nAnswer: 2*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert -b74 (base 13) to base 15.\nAnswer: -8a4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -50 + 69. Suppose -3*x - t + 49 = 0. Suppose x*l = 15*l + 5950. Round l to the nearest one hundred.\nAnswer: -1200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-45)\/(-6)*(-8)\/10. Let b(p) = -4*p**2 + 0*p - 4*p - 2*p**2 - 3 - p**3. Is b(j) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -4 - -10433450?\nAnswer: 10433442","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 4*n - 2. Find the third derivative of 0*u**3 - 6*u**2 - u**n + 3*u**2 + 0*u**2 wrt u.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1528.6903 to the nearest one hundred.\nAnswer: -1500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 126\/112032*(-5 + (1 - 0)). Let f = 132113\/32676 - u. What is the common denominator of 7\/33 and f?\nAnswer: 231","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = o + 10. Let v be ((-4)\/(-3))\/((-4)\/(-42)). What are the prime factors of s(v)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 194 and 1724.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 2070 divide 209634702?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -148 or -146?\nAnswer: -148","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = 2*d**3 + 2*d**2 + d - 1. Suppose -j = -s - 7, 16 = -3*s - 2*j + 4*j. Calculate u(s).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -0.5, 2.88173, 1 in descending order.\nAnswer: 2.88173, 1, -0.5, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 157 - 346. Let k = 187.87 + f. Is -2 greater than or equal to k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 402 + -612. Is u >= -2\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 0.932, -2 in increasing order.\nAnswer: -5, -2, 0.932","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -49*b**2*g**3*l**3 - 2*b**2 - 2*b*g**3*l**3 - 125*b*g**2*l - g**3*l**3 wrt b?\nAnswer: -98*g**3*l**3 - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -m**3 + 7*m**2 - 1. Let y be g(7). Which is bigger: y or 2\/29?\nAnswer: 2\/29","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2009061, -2009063, -2009065?\nAnswer: -2009067","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*i + 5*g - 24, -15*i + 4*g - 6 = -17*i for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r = 5*y - 108, 2*y - 4*r - 57 = r. Calculate the remainder when y is divided by 11.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = 1470*a**3 - 11*a**2 + 11*a - 25. Let y(n) = -294*n**3 + 2*n**2 - 2*n + 5. Give 2*k(w) + 11*y(w).\nAnswer: -294*w**3 + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -488487419*t**3 - t**2 + 181118554 wrt t?\nAnswer: -2930924514","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25 = 8*a - 26 - 18 - 5, 6*m - 3*a = -9 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*b + 5*f - f, 5*f + 20 = 0. Suppose 4*l = b*l. Let i(t) = -t + l*t + 3*t. Let z(x) = -2*x. Determine z(i(j)).\nAnswer: -4*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 570927 is divided by 22837?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 186.524 minutes in nanoseconds?\nAnswer: 11191440000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 59 rounded to 0 dps?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(sqrt(19)*-1 + 3 + -1 + sqrt(19) + sqrt(19) + -4))**2.\nAnswer: -100*sqrt(19) + 575","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) be the first derivative of 202*f**5\/5 + 9*f**2\/2 + 14*f - 29. What is the second derivative of t(p) wrt p?\nAnswer: 2424*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = 3*l**3 + 7 + 8*l - 8*l**2 + l**3 + 2*l**2 - 5*l**3. Let j be o(-7). Which is smaller: 2\/41 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o, 1 w, and 1 c when three letters picked without replacement from iocooiowiiw.\nAnswer: 8\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -466 divided by 106\nAnswer: -233\/53","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.4885*30.44.\nAnswer: -14.86994","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27*p + 31*p + 72 = 0. Let d = 2\/31209 - -3152065\/686598. What is the common denominator of d and (-3)\/(-4)*212\/p?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13024.\nAnswer: 2, 11, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.2, 77, -1.2, -2?\nAnswer: -1.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 364 and 7748?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 630 = 8*o + 34*o. Solve -o = n - 5*g, 81*n - 78*n - 6 = -2*g for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2437 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 11\/5 (b) -3\/7 (c) -10 (d) 1\/3 (e) -71 (f) 3\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Work out 28.7 * 12636.\nAnswer: 362653.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-4254)\/9*(-4)\/(-12). Let p = c - -158. Sort p, 61\/3, -2\/5.\nAnswer: -2\/5, p, 61\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1678.7 rounded to the nearest ten?\nAnswer: 1680","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = 2*s - 2. Let m = -4860 + 4861. Let o(g) = -7. Let a(c) = -1. Let i(w) = 6*a(w) - o(w). Calculate m*i(u) - j(u).\nAnswer: -2*u + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Determine a, given that -3*a**4 + 2820*a**3 - 100527*a**2 + 265074*a + 368424 = 0.\nAnswer: -1, 4, 34, 903","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -93228970, -93228974, -93228978, -93228982, -93228986, -93228990?\nAnswer: -93228994","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-738)\/(-9758))\/((-18)\/(-42)).\nAnswer: 3\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 2, d: 1, v: 2, r: 1, y: 2}. Give prob of sequence rvk.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in six fifths of a micrometer?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -551409 = -14*i - 67359. Does 20 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = 3370*s - 50532. Calculate n(15).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -21*h - 21. Let p(x) = -157*x - 147. Let j(y) = 15*g(y) - 2*p(y). Determine j(0).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.104 - 0.183. Let b = 8360 + -8360.07953. Let a = x - b. What is a rounded to four dps?\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -19 by 5.\nAnswer: -19\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0834365215 rounded to five dps?\nAnswer: 0.08344","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 178762503.\nAnswer: 3, 37, 1610473","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.15 + 6.85. Let l = -7 + m. Which is bigger: 6 or l?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = 3*k + 2*k - 2*k - 2. Let u(i) = i - 1. Let o be u(3). Suppose 3*v - 17 = -4*z, o*v - 2*z - 3*z + 4 = 0. Calculate h(v).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-808)\/1)\/(-2) - (15 - 3)\/(-3). Calculate the greatest common divisor of z and 255.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-1\/3)*r*r*r\/((r\/(r*r*r**7))\/r)*(r**1)**(1\/63))**(-2\/31) assuming r is positive.\nAnswer: r**(-1472\/1953)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*n - 2*n + n)*(3*n - 5*n + 3*n) - 7*n + 7*n + 6*n**2.\nAnswer: 8*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fd when two letters picked without replacement from {z: 5, f: 11, d: 3, t: 1}.\nAnswer: 33\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 8889.000004041 + -8889. Round v to 7 decimal places.\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) be the second derivative of y**9\/25200 - 3*y**8\/11200 + y**7\/2100 + 7*y**4\/12 - 2*y. Let s(v) be the third derivative of h(v). Solve s(u) = 0 for u.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/2 of a millimeter in micrometers?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -2, -8.02, 5?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gii when three letters picked without replacement from {i: 2, g: 3}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000056263523 to five dps.\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -16236 plus 5?\nAnswer: -16231","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (-16 + -5)\/(414\/36 - 8 - 7)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 9*r - 11*r - 4*r. Let p(f) = r*f + f - f**2 + 7*f**3 - 6*f**3. Calculate p(-2).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2027565570.1999539 + 2027565661. Let t = z - 90.8. What is t rounded to 5 decimal places?\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 488536.85 and 0.848.\nAnswer: 488537.698","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 13.25047 centimeters?\nAnswer: 0.0001325047","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2\/23 (b) -3 (c) -1\/6 (d) 1\/2 (e) -0.94\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 312 (base 13) in base 11?\nAnswer: 435","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -s**3 - 3668383*s**2 + s + 959167?\nAnswer: -6*s - 7336766","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3097 and 17499.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 >= 210\/11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 69065 is divided by 2226.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (20*81\/5400)\/((-33)\/(-176))?\nAnswer: 8\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 7437 to the power of 1\/2, to the nearest integer?\nAnswer: 86","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 20581 - 20553. Let l be (25\/(-10))\/((-1)\/(-24)). Let v = l - -130. Calculate the highest common divisor of i and v.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9 = -310*n + 307*n - 3*z, -3*z = 0 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y and 1 b when two letters picked without replacement from {m: 7, c: 2, y: 4, t: 4, b: 1, x: 2}?\nAnswer: 2\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10934 - 4*t + 4*t + 8700*t**2 - 10934.\nAnswer: 8700*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 3035 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.946527 - -0.94. What is k rounded to four decimal places?\nAnswer: -0.0065","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.119 in 67, -3\/62, -71?\nAnswer: -3\/62","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 34814990 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: Suppose 4*d - 5*c - 484 = 0, -5*d - 2*c = -4*c - 588. Let g = 2786 - 2680. Solve -5*a - g + d = 0 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is three sixteenths of a centimeter in micrometers?\nAnswer: 1875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1248 and 158416?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -7*p**3 + 23*p**2 + 10*p - 7. Let r(g) = 10*g**3 - 34*g**2 - 15*g + 10. Give -7*l(n) - 5*r(n).\nAnswer: -n**3 + 9*n**2 + 5*n - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 7771600, 15543194, 23314786, 31086376?\n\"Answer: -r**2 + 7771597*r + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 154, 666, 1482, 2572, 3906?\nAnswer: 5454","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -l**3 - 22*l**2 - 5*l + 28. What is d(-22)?\nAnswer: 138","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 16*z - 15*z - 4. Suppose 72 = 2*m + z*m. Is 6 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -8 + 5. Let y be b\/(30\/4)*30. Let p = 11 - y. What is the tens digit of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 518*g**2*h**3 + 4*g*h**2*y + 32*h**3*y - 4*h**3 - 7*y with respect to g.\nAnswer: 1036*g*h**3 + 4*h**2*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 46707 divided by 3.\nAnswer: 15569","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2318.168cm to kilometers.\nAnswer: 0.02318168","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from czczxxxccxcxxx. What is prob of picking 1 x, 1 c, and 1 z?\nAnswer: 5\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (2590\/(-75))\/(-7) + (-11 - 6) + 12?\nAnswer: -1\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2436*p**4 + 2*p**3 - 1817*p**2 wrt p.\nAnswer: -58464*p + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 3952496 to the power of 1\/8, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 371 minutes after 12:55 PM?\nAnswer: 7:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -5 + 6 - (1 + 5). Let u = -7 - -7.1. Let m = -0.43 - -0.03. Which is the second biggest value? (a) u (b) g (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -43.4 (b) 1\/3 (c) -24 (d) -0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*p**3\/2 - 3*p**2 - 15*p\/2 + 9.\nAnswer: 3*(p - 3)*(p - 1)*(p + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 33\/2 and -11\/370968142.\nAnswer: 370968142","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -0.875403 times 30\nAnswer: -26.26209","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i, 1 m, and 1 d when three letters picked without replacement from dgmmimmi.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 22075483 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = 8*s + 134. Let x(r) = -2*r - 33. Let v(y) = -2*q(y) - 9*x(y). Let c = -1 + 7. What is the units digit of v(c)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 56438352 divided by -6270928?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 60*a - 52*a - 1568. List the prime factors of a.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -15036895 and -0.5?\nAnswer: 15036894.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*j + 9*j + 9*j + 6*j to o + g*j and give g.\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 1661539 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 29 divided by -23853.\nAnswer: -29\/23853","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:43 PM and 1:22 AM?\nAnswer: 279","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence by when two letters picked without replacement from {b: 15, y: 5}.\nAnswer: 15\/76","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 438 - 437.687. Let p = -26.713 + l. Let t = 26.399873 + p. Round t to 5 decimal places.\nAnswer: -0.00013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = 34*o + 260. Is b(4) a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 q when three letters picked without replacement from qvqiiiqvvqiqiivvii?\nAnswer: 5\/408","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 124 - 84. Suppose -2*r = -4*z + n, -4*z - 2*r = -7*r - 46. Suppose -x = 4*w - 259, 7*w - z*w + 5*x + 113 = 0. List the prime factors of w.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -20*y - 12. Let p(l) = -7*l - 4. Let d(o) = 6*j(o) - 17*p(o). Let x be d(-8). Suppose 0 + x = 4*b. What is the units digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 24.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*d - 22*d = -45*d. Suppose 138*x - 129*x - 432 = d. What is the highest common factor of 192 and x?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 630217517?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 18*o**2 - 5*o**2 - 2*o**2 + 61 - 2*o**4 - o**2 - o wrt o?\nAnswer: -24*o**2 + 20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 3750 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 179215453 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(196) - -4*sqrt(196)*3)\/(sqrt(162) + sqrt(162)*1 - sqrt(162) - ((sqrt(2) - (sqrt(22) + sqrt(66)\/sqrt(3))\/sqrt(11)) + sqrt(2) - sqrt(2)))*2.\nAnswer: 91*sqrt(2)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:46 PM and 4:38 AM?\nAnswer: 592","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 7240.42558 to 1 dp.\nAnswer: 7240.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -5.321 - -5.521. Which is the nearest to 1\/4? (a) i (b) 1\/3 (c) -78 (d) -1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-39 - 1) + -14 + 7 + 20 + 51 + -61\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 58, 219, 484, 853, 1326, 1903, 2584?\nAnswer: 3369","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = 83*c + 70*c + 73*c - 286*c + 71*c. Let v(a) = 4*a + 7*a + 0*a. Determine v(b(g)).\nAnswer: 121*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 4, -1, -4 in increasing order.\nAnswer: -4, -3, -1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*y**3 + 71 - 121 + 61.\nAnswer: -2*y**3 + 11","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -452235 (base 6) to base 2\nAnswer: -1001010011011111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 18795 and 14?\nAnswer: 263130","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1871625.\nAnswer: 3, 5, 7, 23, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.0803349 - -262.9239651. Let v = j + -0.0043. Let q = -262.999694 + v. Round q to five decimal places.\nAnswer: 0.00031","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 26*h**2 + 19*h**2 - 56*h**2 + 33*h**2.\nAnswer: 22*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 104550975 and 22180.\nAnswer: 418203900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*n - 17 = -74. Suppose -n*u - 27*u = -2310. Is u a multiple of 54?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = 20*c**2. Let l(w) = 4 + 217345*w - 4 - 217322*w. Determine n(l(d)).\nAnswer: 10580*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:15 AM and 3:19 AM?\nAnswer: 4","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.8955147 to 1 decimal place.\nAnswer: 1.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -13.93 + 14. Let z = 1.6 + -1.57. Let q = v + z. Which is the third smallest value? (a) q (b) 0.3 (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) be the third derivative of 0*o**3 + 1\/8*o**4 - 5*o**2 + 0 + 0*o. Let j(i) = -7*i. Calculate j(w(t)).\nAnswer: -21*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 3 - 576a03?\nAnswer: -576a00","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5*f**2 + 3*f**2 + 0*f**2)*(-9*f + 4*f + 2 - 22*f)*(-3*f + 4*f + 6*f) in the form b*f + p*f**4 + u + q*f**2 + h*f**3 and give p.\nAnswer: 378","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*j = 7*j - 5*k - 10, 0 = 5*j + 5*k - 20 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = g. Let x(c) = -3*c**2 + 2*c + 2. Let f(i) = 16*i**2 - 11*i - 11. Let p(d) = -2*f(d) - 11*x(d). What is p(w(l))?\nAnswer: l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3 + 4. Let q = -189 + 186. Let i = 0.2 + -0.5. What is the closest to h in 3, q, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-n + 3*n - 5*n)*(-5*n + n + n)*(13 + 2*n + 6*n**2 - 13).\nAnswer: 54*n**4 + 18*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 p when two letters picked without replacement from {k: 2, r: 2, g: 3, p: 4, c: 2, j: 3}?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -14048404 (base 9) to base 2\nAnswer: -11010011110100111010001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2.3019 + -6.219.\nAnswer: -3.9171","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.3680021 milligrams to grams.\nAnswer: 0.0003680021","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -426 - -430. Suppose -3*t + 0*u = -3*u - 15, -z*u - 20 = 0. Which is the nearest to 0? (a) t (b) 2 (c) -2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4647*p - 9271*p + 4623*p.\nAnswer: -p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1*8)\/(-1))\/(6\/(-3))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*u + u - 24. Let w be u - (0 + -3 - -5). Solve -2*l = -l - w for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 37.42 - 37. What is g rounded to one dp?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 2b9 - -3?\nAnswer: 2bc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -2 - 9 + 0 - 3*x + 0. Let f be c(-9). What is the highest common divisor of f and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = 2*r**3 - 24*r**2 + r - 41. Let s be l(12). Let i(d) = d**3 + 30*d**2 + 30*d + 56. Let g be i(s). Solve 4*q + q - 2*w = g, -16 = -4*q - 4*w for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d*d\/d**3*d\/(d\/d**(3\/5))*d)\/((d*d**0*d*d)\/d)**(-36))\/((d\/d**(-1\/4))**(-6\/19)\/(d**(1\/3)*d*d**(3\/8))) assuming d is positive.\nAnswer: d**(170323\/2280)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 12\/25 of a kilogram?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 13481?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3450*m**5 + 0*m - 3424*m**5 - 14*m**2 + 0*m wrt m.\nAnswer: 1560*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 47.07613194 rounded to the nearest 10?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = o - 2. Let t(s) = s + 1. Let r(c) = 6*l(c) + 6*t(c). Does 21 divide r(5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 10162509 to the nearest integer?\nAnswer: 217","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-16)\/54*(55\/20 + -2). Suppose -5*m = -5*r + 15, 2*m = -m - 5*r + 23. Let s be (-5 - -1)*(m + 0). Which is the nearest to -2? (a) j (b) s (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -n**3 - 61*n**2 + 325*n + 48. Determine z(5).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 96 and 28.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in twenty-one halves of a century?\nAnswer: 12600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2730 and 25766?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 32\/(-64) + 242\/4 and 44.\nAnswer: 660","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*h = -4*h + 12. Let m = 10 - 8. Let x be (4 + m)*(-2)\/3. Is x at most h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 + 26 - (1947\/(-22) - (-369)\/82)?\nAnswer: 102","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -64\/14175 and 109\/37800.\nAnswer: 113400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + sqrt(17) + -1 - (1 + sqrt(17))*-1)**2 - (1*-1*sqrt(136))\/(sqrt(8)*1*3).\nAnswer: sqrt(17)\/3 + 68","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mzb when three letters picked without replacement from {b: 13, m: 5, z: 2}.\nAnswer: 13\/684","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -6, 8, 3.\nAnswer: -6, 3, 5, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = c**3 + 48*c**2 + 145*c - 495. Give g(-45).\nAnswer: -945","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 34932 divided by -17466\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (9\/3 + -11)*(-2963600)\/32. What is w rounded to the nearest ten thousand?\nAnswer: 740000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*t + 4*i + 24, -5*i + 2 = 17. Let a(s) = -2*s + 1. Is 11 a factor of a(t)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*r - 7 + 17 = 0 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 43 - -104?\nAnswer: 147","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -778*z + 321301. Calculate j(413).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: ((-3)\/(-123)*-2)\/(1 + 0 + 0)\nAnswer: -2\/41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 199006 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4773, 6558, 8343, 10128, 11913, 13698?\nAnswer: 15483","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tb when two letters picked without replacement from bzzbntzz.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express -8*p**2 + 339*p**2 + 8*p - 20*p**2 + 289*p**2 in the form u + f*p**2 + v*p and give v.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -123 divided by 364?\nAnswer: -123\/364","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 43\/180 and 43\/96.\nAnswer: 1440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 409 + -459. What is the smallest value in -2\/3, -2\/9, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.3, 71\/113, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s**4 - 182886*s**3 - 182889*s**2 = 0. Calculate s.\nAnswer: -1, 0, 60963","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-70)\/56)\/(2\/(-8)). Suppose 5*y - 111 = -2*a, 360 = j*a - 2*y - 2*y. What is the remainder when a is divided by 18?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -491000 to the nearest 100000.\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 13030669 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 4\/((-2)\/(-206) + 0). Let f = c - 2042\/5. Calculate the common denominator of f and (-3 - -1)*(-3 - 287\/(-28)).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -10*v - 2. Let f(d) = 21*d + 4. Give 5*b(o) + 2*f(o).\nAnswer: -8*o - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j - 180 = -0*j. List the prime factors of j.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -35, -2\/11, 0.157, 5.4, 2\/7, 8?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -40314, -40310, -40306, -40302?\n\"Answer: 4*q - 40318","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/9? (a) 5\/2 (b) 171 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-22*(-42)\/(-1155))\/((-64)\/100).\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -99477*g**2 - 63*g - 220. Let a be j(-4). What is a rounded to the nearest 10000?\nAnswer: -1590000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = g + 10. Let k be v(-7). Suppose 5*d - 3*r - 29 = 0, 0*d + r = -k*d + 9. Solve d - 2 = 3*x + b, 2*x - 8 = b for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = q**2 + 8*q + 15. Let d be h(-8). Let f = d + -15. Is f > 17?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-21)\/(-6)*-2*(-2)\/2)\/(840\/48). Factor -8\/5*j**2 + 0*j - 6\/5*j**3 + 0 + p*j**4.\nAnswer: 2*j**2*(j - 4)*(j + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 38480541?\nAnswer: 3, 11, 23, 419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide 480 by 4.\nAnswer: 120","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 36\/15*(-25)\/(-10). Solve 5*r - q*f + 1 = -2*f, -2 = -2*r + 4*f for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i - d = 7, -8*i + 2*d + 22 = -4*i. Let s(g) = 24*g - 8. Let a be s(i). Calculate the highest common factor of a and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 125898.\nAnswer: 2, 3, 20983","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -3150 rounded to the nearest 100?\nAnswer: -3200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 661 minutes before 6:34 AM?\nAnswer: 7:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 21744 divided by -27278?\nAnswer: -10872\/13639","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 + -1 + 1 + -5?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 647380?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + m + 180 = -4*j, 2*j = -6. Suppose 4*v - 5*x - m = 115, 2*x = 5*v - 236. What are the prime factors of v?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 121056 - 2035?\nAnswer: 118021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is d in -2*d**3 + 2801324*d**2 - 11205272*d + 11205264 = 0?\nAnswer: 2, 1400658","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1003 + 672. Let y = t + 328.41. Let r = -0.41 + y. Which is the nearest to -1? (a) r (b) -5 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -24815, -24823, -24835, -24851?\nAnswer: -24871","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 6\/3 + -1 + 1. Let y(s) = 2 + 2*s**2 - f. Let z(p) = -232*p + 8. Let h(i) = -146*i + 5. Let m(g) = -8*h(g) + 5*z(g). What is m(y(w))?\nAnswer: 16*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11110110001 - -110?\nAnswer: 11110110111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 66.852 + -67. What is f rounded to 2 dps?\nAnswer: -0.15","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7826518836?\nAnswer: 2, 3, 19, 3814093","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 3219 divided by -111\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -189565\/153 - -1239. Is t at most as big as -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 11670523?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -5604977\/447 + 12539. What is the common denominator of 59\/48 and s?\nAnswer: 7152","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 8 in 0.92, 1, -0.4, -2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 1808 - -49849?\nAnswer: 51657","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/138, -2, 4, -3, -57\/7, 23 in increasing order.\nAnswer: -57\/7, -3, -2, -1\/138, 4, 23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10426 is divided by 1266?\nAnswer: 298","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -9138, -9135, -9130, -9123?\n\"Answer: v**2 - 9139","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -785*n**3 - 24*n**2 - 7*n. What is the units digit of l(-4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2 - -6. Suppose 2*w + 2*w = -4, -i = -3*y - 5*w. Let m(c) = -c + 9. Let z be m(8). What is the closest to z in y, -0.5, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -23 + -1d4a?\nAnswer: -1d6d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2.318162 kilograms to tonnes.\nAnswer: 0.002318162","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 1, o: 2, q: 2, t: 1, l: 1}. What is prob of sequence lq?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2693363 to the nearest integer?\nAnswer: 139","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 + 2*f**2 + (-12 + 10 + 7)*(-22*f - 81*f + 31*f + f**2))*(-2*f + 3 - 3).\nAnswer: -14*f**3 + 720*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in seventy-nine halves of a litre?\nAnswer: 39500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1860259 or -1860110?\nAnswer: -1860110","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = 3*p - 3*p + 17*p**2 - 3 - 8 - 14*p**2. Let j(n) = n**2 - 6. Suppose -2*g + 3*g = 6. Determine g*v(m) - 11*j(m).\nAnswer: 7*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4188\/9 - 0 - 52\/(-78).\nAnswer: 2, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x - 12 = 4*n, -x = 4*n - 4*x + 28. What is the units digit of (32 + 1)*n\/(-12)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -804092 and -45.71223.\nAnswer: -804137.71223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j + 4*g - 2906 = 0, -7*g + 5*g + 1936 = 2*j. Suppose p = 8*p - j. Is p a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -61550799 take away 3741?\nAnswer: -61554540","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -63abbba + 3?\nAnswer: -63abbb7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a - 3 = 13. Let x(h) = 8*h**2 + 3*h - 3. Let z be x(-3). Suppose -2*f - a*t + z = 0, 3*f - 5*t + 5 = 51. Does 9 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 4075913*c**3*n - 18*c**3 - 1492*c**2 - 9*c*n + 34 wrt n.\nAnswer: 4075913*c**3 - 9*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is -20043 >= -160333\/8?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = 21*g**2 + 351*g - 107. What is k(-17)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -45, 4, 39, 54, 43, 0?\nAnswer: -81","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = 17896*m - 53753. Let t be c(3). Let h(u) = -8*u - 9. Let p be h(7). Is t at most as big as p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -1725, -2385, -3053, -3729, -4413?\n\"Answer: -4*q**2 - 648*q - 1073","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 922*c + 1954*c - 91*c - 27*c as q*c + b and give q.\nAnswer: 2758","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 m and 2 x when four letters picked without replacement from {p: 2, m: 2, x: 8}.\nAnswer: 28\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express (25 - 25 + 12*o**2)*(1 - 2 - 1)*(-2 - 2 - 1) in the form y*o**2 + h*o + q and give y.\nAnswer: 120","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 (base 5) in base 8?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 divided by 17098325?\nAnswer: -9\/17098325","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 18818042, 18818044, 18818048, 18818054, 18818062, 18818072?\nAnswer: 18818084","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 4329690 rounded to the nearest one hundred thousand?\nAnswer: 4300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w*w**24*w)\/(w**(1\/45)\/w))**(-23\/5) assuming w is positive.\nAnswer: w**(-27922\/225)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w - 15 = -0, -l + 31 = 4*w. Suppose 27 = -a + l. Suppose 4*m + 96 = a*m. Let u(b) = -b**3 + 9*b**2 - 11*b + 6. Determine u(m).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (sqrt(2880)*-1 - sqrt(2880))\/(sqrt(90)\/sqrt(160)).\nAnswer: -64*sqrt(5) - 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -10*q + 4*q - 10*q + (1 - 1 + 2)*(-2 - q + 2) - 3*q - 13 + 5 - 27.\nAnswer: -21*q - 35","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 451182 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 17398, 17382, 17346, 17284, 17190, 17058, 16882, 16656?\nAnswer: 16374","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1523*t**3 + 2072*t**3 + 2374*t**3 - 7527*t**3.\nAnswer: -1558*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10*390\/468*((-46)\/(-23))\/(10\/9).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y = -2*p - y + 3, -33 = -3*p + 5*y. Let a be (-272)\/(-51) + 4\/p. Find the third derivative of -3 - 21*i**2 + 3 + 25*i**2 + 7*i**a wrt i.\nAnswer: 840*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 10*t + 384 + 316. Let l be (-3 - t\/25) + 88\/(-10). Let y(i) = i**2 - 12*i - 40. What is the hundreds digit of y(l)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3, -7, -5, 9, 41?\nAnswer: 97","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 225*k**2 - 1 + 300*k**2 + 300*k**2 - 1428*k**2 + 297*k**2 + 303*k**2.\nAnswer: -3*k**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 + 1 + -3 - (5 + -9).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h*h\/h**(3\/10)*h)\/(h**(-2\/5)*h))\/(h**12*h**(-2\/43)) assuming h is positive.\nAnswer: h**(-4237\/430)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) be the second derivative of t**4\/12 - t**3\/6 + t. Let s(o) = 4*o + 2. Let b be s(-1). Let k(j) = -2*j**2 + j. Give b*k(z) - 3*a(z).\nAnswer: z**2 + z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.1615 and 0.2?\nAnswer: -0.0323","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 18\/199801?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 27\/4 of a millennium?\nAnswer: 6750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(sqrt(245)\/sqrt(7)*3)\/(1*sqrt(45)).\nAnswer: -6*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 120 and 86280.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = z + 6. Let p be f(-7). Let v be ((-4)\/12)\/(p\/12). Suppose b + 3*b - 20 = 0, h - v*b + 17 = 0. Solve 0 = w + h*w + 8 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.1 (b) -1\/343 (c) -2 (d) 120 (e) -0.027 (f) -4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4)\/(-4*(-5)\/20)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (18\/16)\/((-30)\/20).\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) be the third derivative of j**4\/24 + j**3\/6 + j**2 - 32*j. Let f(r) = -4*r - 3. Calculate -f(m) - 6*t(m).\nAnswer: -2*m - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -v + 16. Let c be p(11). Suppose s - c*s = 0. Which is greater: 1\/3 or s?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 315 - 3 = 130*d - 156*d for d.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -51*x - 1011. What is d(-19)?\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -31 - (-2 - -2)\/(25 - 24).\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j + 11*v + 19 = 12*v, 50 = 4*j - 5*v. Put 4, j, -4, 144 in decreasing order.\nAnswer: 144, j, 4, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -p - 2. Let x be q(-3). Let r = x - 0. Is r less than 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 47\/12 and -27\/2285377.\nAnswer: 27424524","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 90 and 168.\nAnswer: 2520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c + 24 = 4*n, -2*n + 6*n = 2*c + 14. Calculate the common denominator of 1 - 1 - 275\/45*n and 24\/11.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(847) + (sqrt(847) + 0 + -1)**2.\nAnswer: -11*sqrt(7) + 848","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 2627257 to the power of 1\/5, to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 4 + -2ba9c?\nAnswer: -2ba98","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2201.74 - 2178. Let x = -24 + q. Let t = x - -0.3. Round t to 1 dp.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -656 and 180074.1.\nAnswer: 179418.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 132 minutes before 4:35 AM?\nAnswer: 2:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -r**3 - 8*r**2 + 9*r + 4. Let s be t(-9). Suppose 37 = s*z - 75. Let a = z + -17. Is a a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -11175 - -15796. Calculate the remainder when d is divided by 17.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-21 - (45 - 51)) + (-20 - -2).\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 7929 + -7907. Solve 20 = -5*v - 3*h - 2*h, -4*h = -2*v + p for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 divided by 2?\nAnswer: -7\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -23*q - 7. Suppose -11*b + 3*b = 48. What is the tens digit of d(b)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**(-1\/4)\/(p\/p**(1\/11))*(p\/((p\/p**(-2\/19))\/p*p))\/p*p**(-11))**(2\/35))**(-6) assuming p is positive.\nAnswer: p**(33267\/7315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 1858662090 to the power of 1\/3, to the nearest integer?\nAnswer: 1230","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1462, 1457, 1450, 1441, 1430, 1417, 1402?\nAnswer: 1385","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c = -0*c - 102. Let t = -35 - c. Let g be (0 + t)*(-6 + 3). Solve v - 2*u = -1, -u = 3*v - g - 1 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + (1*-1*sqrt(2057) + sqrt(2057) + 1 + -3 - -4*(sqrt(2057) + 0)*-5) + 1)**2.\nAnswer: 822800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*v + 5*v + 2*v**4 + (0 - 2*v**2 + 0)*(3*v - 3*v - 2*v**2) + 11*v**4 + 31*v**3 + 2 - 12*v**3 - 16*v**3.\nAnswer: 17*v**4 + 3*v**3 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3384178660?\nAnswer: 2, 5, 169208933","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oo when two letters picked without replacement from {h: 2, o: 11}?\nAnswer: 55\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -21 times 11905?\nAnswer: -250005","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (4\/(-10) + 8\/(-30))*3. Suppose 0 = -2*o + 2 + 2. Suppose -7 = -5*a + 2*j - 4, o*a - 10 = 3*j. Which is bigger: a or n?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:53 PM and 6:28 PM?\nAnswer: 35","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4.2 * 6.7834.\nAnswer: 28.49028","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -107*s = -476 + 300 + 482 + 336 for s.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = 4*d + 4. Let s be o(4). What is the greatest common factor of s and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of -147*(-55)\/15 + 0 and 441?\nAnswer: 4851","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2 - -1. Let i(k) = 4*k**2 + 2*k + 1. Is i(d) even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -187, -733, -1681, -3055, -4879, -7177, -9973?\nAnswer: -13291","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 8 - (3 + -3)\/3. Suppose -n + u = 3*n. Suppose -163 = -3*w + 2*s, 0*w - 108 = -2*w + n*s. Is w a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -448, 2\/9537, -2, 14 in decreasing order.\nAnswer: 14, 2\/9537, -2, -448","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 13.2 - 12. Let j = -0.3 - c. Let p = j + 1.4999999. Round p to 7 dps.\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:42 PM and 11:20 PM?\nAnswer: 38","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 u and 2 d when four letters picked without replacement from {u: 10, d: 2}?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -1026*d**3 - 2*d**2. Let p be t(-2). Round p to the nearest one thousand.\nAnswer: 8000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 7.712571ng?\nAnswer: 0.000000000000007712571","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = h**3 - 20*h**2 - 24*h + 48. Let z be a(-14). Round z to the nearest 100.\nAnswer: -6300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 67 a factor of 15410?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 14*n + 12 + 142 for n.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 2.06347um?\nAnswer: 2063.47","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 547601 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 10001000111010 (base 2) to base 13\nAnswer: 3cb0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 224*t**4 - 31*t**2.\nAnswer: 5376*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + 2 = 0, 5*f = -0*s - 5*s. Let h = -0.10754 + 0.10754. Which is the nearest to s? (a) -76 (b) 5 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1777 is divided by 152.\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12\/(-18)*(-6)\/4.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xqxn when four letters picked without replacement from xnnqqxnxnnxqx?\nAnswer: 5\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = 4*c. Let w(h) = -5417149*h**2. Calculate d(w(b)).\nAnswer: -21668596*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find i such that -2\/3*i**3 + 34*i**2 - 578*i + 9826\/3 = 0.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.03914268 times -5?\nAnswer: -0.1957134","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 127, -11, -235, -533, -893, -1303?\nAnswer: -1751","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -10*v**2 + 62726168*v\/3 - 16726976\/3.\nAnswer: -2*(v - 2090872)*(15*v - 4)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3.08 - 0.08. Let d = 51 - 50.961. Let u = d + -0.039. Which is the nearest to u? (a) -2\/7 (b) t (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1483 a multiple of 125?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*x - 10. Let c be (-528)\/(-128) - x\/(-16). What is the third derivative of -306*d**3 - 5*d**c + 3*d**2 + 306*d**3 wrt d?\nAnswer: -120*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 488992?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o + 37 = d + 4, -5*d + 21 = 4*o. Let v = 8 - 5. Suppose v*n + n - 12 = 0. Calculate the highest common factor of n and o.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14464 is divided by 2409.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve b - 4 = -5*v, 6*v - 18 = -5*b + 2 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*m + 17 = c, 4*c + 5*m = 2*m for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -31121 - 1616130?\nAnswer: -1647251","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 22 + -16. Let z = -92476.9989 - -92483. Let n = c - z. Round n to 3 dps.\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-1)\/2 + (-5)\/2. Let j be 1\/((-27)\/u + 0). Is 1 equal to j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(4)\/(sqrt(8)\/sqrt(4)*-6).\nAnswer: -sqrt(2)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -142*n + 146*n - 3*v = 15, 0 = 5*n - 3*v - 18 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 631484?\nAnswer: 2, 7, 19, 1187","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 3\/31201324 and 109\/158843104.\nAnswer: 1747274144","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 - 1 + 2*n - 5*n + 2*n + 4*n + 2 - 2 - n + (-1 + 0 + 2)*(2*n + 0 + 0) - 5940*n - 784 + 390 + 394 as b + d*n and give d.\nAnswer: -5936","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = n**2 + 46*n - 470. Calculate j(8).\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (37 - 9)\/7 + -2. Solve -3 = b + h for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -10.8? (a) 5 (b) 0.2 (c) 0 (d) -2\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i + 29 - 7 = 3*f, -10 = -5*f + 2*i. Suppose 0 = -3*z - 2*z + 4*l + 28, -3*l = -f*z + 22. Factor -g**4 - g**4 + 4*g**z.\nAnswer: 2*g**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 - (-5 - (-2 - 0))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (4 - 4 - 1)*(5*f - 5*f + f) - 7*f + 1 - 1 + 13*f - 3*f + 0*f in the form z*f + u and give z.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3912627.\nAnswer: 3, 1304209","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(-2*-1*sqrt(1088) + sqrt(1088) + sqrt(1088)) - (-4 + 2*sqrt(1088)*3))**2.\nAnswer: 896*sqrt(17) + 213264","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 38645289.\nAnswer: 3, 1431307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37*y - 7*y - 7*y + 40643277 = 0. Is y a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (4\/33)\/(2\/3). Let o = -223578 + 223582. Which is the closest to 0.1? (a) 2\/5 (b) m (c) o (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1667?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/5? (a) 2 (b) 167 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = 8038*i**2 - 14*i - 73. Is p(-4) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -5021, -4991, -4937, -4847, -4709, -4511, -4241?\n\"Answer: 2*t**3 + 16*t - 5039","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 56 - 54. Which is the nearest to 2? (a) p (b) 1\/2 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w - 2*l = -6*l - 308, -4*l = -3*w - 204. Let d = w + 65. Put 2, d, -2 in descending order.\nAnswer: 2, d, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) be the first derivative of 41*l - 87*l - 13*l**2 - 87 + 45*l. Determine p(-1).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(78)\/(sqrt(6) + (sqrt(6) - (sqrt(48)*3)\/sqrt(8))) + (sqrt(325)*3)**2 + -3.\nAnswer: -sqrt(13) + 2922","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 13022103 + 10123?\nAnswer: 13032232","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-261)\/153*(9\/18)\/((-11)\/187).\nAnswer: 29\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*x + 357 - 357.\nAnswer: 5*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 1314, 1342, 1390, 1458, 1546, 1654?\n\"Answer: 10*o**2 - 2*o + 1306","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 35500874309 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1203574762*s**3 + 706834631*s**2?\nAnswer: 7221448572","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 2\/5 (b) -0.4 (c) 3 (d) 0.12\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.541 + -0.141. What is the second biggest value in 13, u, 1\/4, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (972\/(-189))\/(84\/(-98)).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -93*a - 100*a + 199*a to the form k + p*a and give p.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -5, 4, 8 in descending order.\nAnswer: 8, 4, 1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is a in -3*a**4 + 68415*a**3 - 1435506*a**2 + 2597376*a = 0?\nAnswer: 0, 2, 19, 22784","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 1870 smaller than 1505?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -18.61 - 0.39. Let s = 35 + l. Let k = s + -15.5. Which is the nearest to 1? (a) -5 (b) k (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 59, 11, -1, 2, 5, -6, 60 in ascending order.\nAnswer: -6, -1, 2, 5, 11, 59, 60","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 333237005?\nAnswer: 5, 2161, 30841","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -594.43 + 595. What is the second smallest value in -5, -1, j?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10 - 1111011?\nAnswer: -1111001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 914797 less than 915040?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Product of -5.0636 and 0.4.\nAnswer: -2.02544","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r**2 - 4280*r + 4276 = 0. What is r?\nAnswer: 1, 1069","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: ((-3)\/(-5))\/(33\/(-165))\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*w**(1\/3)*(w\/(w*w**(1\/5)*w))\/w*w\/w**(-7)*w*w**3)\/(w**(-4\/7)\/(w\/((w\/w**6)\/w*w)))**(-5\/17) assuming w is positive.\nAnswer: w**(16423\/1785)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 18366, 38073, 57780, 77487?\nAnswer: 97194","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 6983 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: What is the next term in -299089999, -598179998, -897269997, -1196359996, -1495449995, -1794539994?\nAnswer: -2093629993","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 1317 (base 8) to base 10\nAnswer: 719","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4\/3, 12, -3\/5, -0.1 in increasing order.\nAnswer: -4\/3, -3\/5, -0.1, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3362050 divided by 5.\nAnswer: -672410","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -37514425, -37514498, -37514619, -37514788?\nAnswer: -37515005","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -15961524 divided by -2?\nAnswer: 7980762","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.07? (a) -371 (b) -0.01 (c) 1 (d) -4.9 (e) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-55)\/30)\/11)\/(20\/(-48))?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-36)\/14*14\/(-3). Suppose -14*c + 6 = -q*c. Let y = 1 + 2. Solve -o = p - 1, 0*p + y*p = -c for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 0 + (-75)\/(-10)*(-4)\/(-5). Let g(b) = -2*b + 7. Determine g(h).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 48 less than -2.91?\nAnswer: -50.91","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.5? (a) -3.81 (b) 47 (c) -3.8 (d) 9\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.04598 + 28.09198. Let o = 0.046 - l. Let t = o + 28.68. What is t rounded to 1 decimal place?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/3 in 1, 1\/2, -37, -1\/11?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -18 divided by 238.\nAnswer: -9\/119","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -29 - -28. Let l be -1*x\/((-5)\/10). Let k be 1 + (-3 - (l - 1)). Which is the closest to k? (a) -1 (b) 5\/6 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in one fifth of a kilometer?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 781 - 777. Put m, -10\/61, 0.2, 0.5 in ascending order.\nAnswer: -10\/61, 0.2, 0.5, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-209)\/(-4) - (-3)\/(-12). Suppose -k = k - d. Suppose 3*g + g - 36 = 0. Calculate the remainder when k is divided by g.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*p**4 + p**4 - 3*p**4)*(3 - 2 - 3) + (p + 3 - 3)*(-p**3 + p**3 - p**3 + (3*p**2 + 5*p**2 - 6*p**2)*(1 - 2*p - 1) + 138*p - 35*p**3 - 138*p).\nAnswer: -44*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 3\/(-3) + (-65)\/(-1). Let p = x + -38. What are the prime factors of p?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 1, d: 4, a: 10, z: 2}. What is prob of picking 3 a?\nAnswer: 3\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6032442380?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -32*h + 52 = 8 - 52 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 40\/(-180)*-6*(-15)\/(-50)?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r + 189 = 5*r. Suppose -1 = 5*a - 3*j + 4, 3*j = -3*a + r. Let v(d) = -13*d**2 + 45*d**2 - 25*d**a - d**3 - 6 + d. Give v(7).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (8 - 8 - 4*z + (-2 - 3 + 2)*(z - 2*z + 2*z) + 3 + z - 3)*(107 - 270 - 401) in the form m + j*z and give j.\nAnswer: 3384","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10 + -1001111101100110101011?\nAnswer: -1001111101100110101001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 4, k: 2, j: 5}. Give prob of sequence kkjq.\nAnswer: 1\/198","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-3)\/(6\/(-170)) - 0. Suppose 2*z = 7*z - l. Suppose 2*m + 21 = 4*p - 23, 0 = -p + m + 13. What is the remainder when z is divided by p?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -20*k**3 + 2*k**3 + 13*k - 4*k + 119*k**2 + 16*k**3 in the form b*k**3 + f + l*k**2 + r*k and give l.\nAnswer: 119","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) be the second derivative of -13*p**4\/6 - 17*p**3\/3 + 6*p - 1. What is the second derivative of b(r) wrt r?\nAnswer: -52","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in fourty-eight fifths of a tonne?\nAnswer: 9600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 52424 to the power of 1\/7, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 57 + -39. Let l be ((-2)\/q)\/(2\/(-12)). Which is the closest to 0.1? (a) -3\/5 (b) l (c) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -4*d + 3. Let v(b) = 12*b - 10. Let r(w) = -10*k(w) - 3*v(w). Let c be 10\/3 + (-1)\/3. Let g(j) = 15*j + 0*j - c*j. Give g(r(h)).\nAnswer: 48*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35*b - 4*l + 1108 = -30*b, -3*b + 4*l = -652. Suppose -2*w + 20 = -20. What is the greatest common factor of b and w?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = 29*b**2 + b. Let c(k) = 557*k**2. Give p(c(m)).\nAnswer: 8997221*m**4 + 557*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 h and 1 t when three letters picked without replacement from htyhehy?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**1)**(-7\/6)\/(o*o\/(((o*o**(2\/3))\/o)\/o))**15*(o**0\/o)**3\/((o\/(o*(o*o\/o**8*o*o*o)\/o*o*o))\/((o**4\/o)\/o)) assuming o is positive.\nAnswer: o**(-235\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 81*l = 90*l - 9. Is 2\/83 less than or equal to l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21054 a multiple of 174?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3*-2.4.\nAnswer: -7.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 5104.3 rounded to the nearest 100?\nAnswer: 5100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r = -506 + 3222. Is r prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -183 - 105 = -3*w + 5*c - 118 + 133, -w - 19*c = 1139 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-413)\/(-236) - (-66)\/8. Solve -r - k = -3*r for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 39549702 to the power of 1\/2, to the nearest integer?\nAnswer: 6289","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -110 + 110. Solve -5*v + 25 = -d*v for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -399 greater than or equal to -90071\/226?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: What is 631 minutes before 12:49 PM?\nAnswer: 2:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -15*m**2 - 25*m - 65. Let z(i) = 2*i**2 + 3*i + 8. Let x(c) = 3*n(c) + 25*z(c). Differentiate x(d) with respect to d.\nAnswer: 10*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4322*y + 152 = 4360*y for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -26\/124145 and -37\/2333926.\nAnswer: 11669630","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 0.3, -0.2 in ascending order.\nAnswer: -0.2, 0.3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 66.163025 - 66.02. Round n to two dps.\nAnswer: 0.14","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n\/(n*n\/(n**(-1\/7)*n))*n)\/n**(-1))**(-13\/4)\/(n**(2\/15)*n*n\/((n\/(((((n*n**2)\/n)\/n)\/n*n)\/n))\/n))**(6\/7) assuming n is positive.\nAnswer: n**(-1101\/140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = 2*t**2 + 5978*t + 2. Let o(r) = -11*r**2. Calculate s(o(h)).\nAnswer: 242*h**4 - 65758*h**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 26 + (44 - -12 - 92)\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 3 + 7 - 6 - 142\/9. Let k = 41\/9 + l. Calculate the common denominator of k and 67\/2.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1159?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -286 + 298. Suppose -14*a + 16 = -u. Solve -y + a = -3 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -21*s**3 - s**2 + s. Suppose 35*b + 64*b = -297. Let m(h) = h - 3*h**2 + 1 + h**2 - h**3 + 2*h. Let i be m(b). Give x(i).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 15 - 7. Let i be 4\/m*(-11 + -1). Let l = 3 + i. Let w(q) = q**2 + 3*q + 4. Give w(l).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) be the first derivative of -1 - y**3 - y - 1\/4*y**4 + 1\/2*y**2. Determine l(-3).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -194 - -174. Let d be o\/(-80) - (0 - 0). What is the fourth biggest value in -1\/3, -1, -0.7, d?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = r**2. Let p(n) = 207*n**2. What is p(a(z))?\nAnswer: 207*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -f**3*g**4 - 6*f**3*g**3 + 59*f**3 + f**2*g**2 wrt g.\nAnswer: -24*f**3*g - 36*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 104 - 51. Let h = -58 + k. Sort -2, h, -7 in descending order.\nAnswer: -2, h, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.4 * 0.043844827.\nAnswer: -0.0175379308","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -m + 1. Let v(w) = 23*w**2 + 5*w - 5 - 43*w**2 + 19*w**2. Determine 15*t(i) + 3*v(i).\nAnswer: -3*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -481*r**5*w**2 - 4*r**2*w**2 + 6*r**2*w - 7*w**2 wrt r.\nAnswer: -28860*r**2*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1\/3416 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1611511 to the nearest integer?\nAnswer: 1269","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -9*f + 6. What is the units digit of w(-3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -35 = -63*b + 70*b for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 42387081793 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-90)\/(-30)*(-2)\/18.\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 + -9 - (39 + (10 - 2) - (1 - -12)).\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.5 and -2852?\nAnswer: -1426","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1 (b) -2\/7 (c) 1835 (d) 2\/3 (e) -0.3 (f) -0.05\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - 4*g - 626666 = 10053318, -g - 5339996 = -v. Round v to the nearest one hundred thousand.\nAnswer: 5300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -3, 659, 5093.\nAnswer: -3, -1, 659, 5093","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 401 divide 68176837?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -e - -2c396?\nAnswer: 2c388","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 4 (base 8) to base 10\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from npnbejnn. What is prob of picking 1 n and 1 p?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + (sqrt(98) - (sqrt(98) + -2)))**2*4 + (sqrt(98) - (sqrt(98)*-1*-1)**2) + sqrt(98) + -3.\nAnswer: -97 + 14*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 67 - 67.2. Let s = -1347 + 1348. What is the closest to s in -1\/3, -1, 0.1, n?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*g + 1487 + 4*g - 3*g + 4*g - 7*g.\nAnswer: -5*g + 1487","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 30598*c**3 + 2791*c**2 + c - 1?\nAnswer: 183588","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -41*d + 0*d - 8*d + 1763 = 636 for d.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 11369+2.98567\nAnswer: 11371.98567","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:14 AM and 1:28 PM?\nAnswer: 254","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 0\/(-3) - (-2 + 7) - -342. Suppose q - 266 = -2*s + c, -284 = -s - 4*q. Is s a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -16 less than -303885.96?\nAnswer: -303869.96","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 229, 223, 201, 157, 85, -21?\n\"Answer: -p**3 - 2*p**2 + 7*p + 225","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m - 3*m = -14. Let i = 19 + m. Let w = -18\/5 - -67\/20. Which is the nearest to w? (a) -1 (b) 4 (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 577220 divided by -5.\nAnswer: -115444","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -33.962 + 0.362. Let r = -36.6 - j. What is the second biggest value in r, -0.4, 5\/2?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2301e8 (base 15) in base 11?\nAnswer: -a41553","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let 6*z**5 - 333*z**4 + 5589*z**3 - 24600*z**2 - 16704*z + 13824 = 0. What is z?\nAnswer: -1, 1\/2, 8, 24","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:45 PM and 7:54 AM?\nAnswer: 609","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-21808)\/1040)\/(-47) + (-3)\/(-15)*-3?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -1 - 5*c + 2 - 1. Let u be z(1). Let v(m) = m**2 + 6*m - 1. Determine v(u).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + 5*g + 15 = -0*v, -v + 4*g + 12 = 0. Let h = 0.3 + -54.3. Let w = 58 + h. Which is smaller: v or w?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -428*(-1 + (-4)\/(-8)) - -3 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 21\/(-39)*(64\/256)\/((-7)\/(-48))?\nAnswer: -12\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -283 - 1?\nAnswer: -284","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/5 in 0.1, -2, -2\/25, -0.1, 0.11, -10849?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lv when two letters picked without replacement from vrvl.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -s + 465 - 212 + 1338*s**2 + 2*s - 255.\nAnswer: 1338*s**2 + s - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*q + 13*q - 967435*q**2 - 6*q.\nAnswer: -967435*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 24\/(-18)*(-13)\/(156\/18)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 182*x - 7840 + 3416 = 15*x + 5763 for x.\nAnswer: 61","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -2*i - 1. Let n(l) = 4*l + 2. What is 3*n(q) + 5*w(q)?\nAnswer: 2*q + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.2 and -0.05813562.\nAnswer: 0.14186438","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 2 + -101b2?\nAnswer: -101b0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 79 - 73. Suppose k*o = 11*o. Solve 0 = 3*b + 9 - o for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -2*n**2 + 18*n + 5. Let y(f) = 3*f**2 - 27*f - 8. Let z(c) = 7*o(c) + 5*y(c). Let a = 599 + -534. Suppose w + a = 74. Determine z(w).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = 120*i + 10336. What is g(-86)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*q**2 - 82*q - 80 = 0 for q.\nAnswer: -40, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1229, -4713, -10439, -18401, -28593, -41009, -55643, -72489?\nAnswer: -91541","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 5536 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: Is -2 - (-210 - (0 - -1)) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -152426, -304863, -457302, -609743, -762186, -914631?\nAnswer: -1067078","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (7 + 307\/(-44))*6*2\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/2 of a kilogram in grams?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/10*(2820\/6580)\/((-4)\/70).\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*n**3 - 30433 + 30433.\nAnswer: -2*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let 6*q**5\/11 + 2*q**4\/11 - 76*q**3\/11 + 72*q**2\/11 + 80*q\/11 - 64\/11 = 0. Calculate q.\nAnswer: -4, -1, 2\/3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + t = -7, 2*t = -2*t - 20. Let w(s) = -s**c - 2*s + 2*s. Let i(x) = -18*x + 8*x + 11*x. Determine w(i(b)).\nAnswer: -b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = 2*y**2 - 125. Let s(b) = 0*b**2 - 17487*b + 17487*b + 6*b**2. Determine m(s(r)).\nAnswer: 72*r**4 - 125","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -5*s**3 - 5*s**2 - 5. Suppose 521 - 556 = 7*q. Let y(z) = -14*z**3 - 16*z**2 - 16. Give q*y(i) + 16*a(i).\nAnswer: -10*i**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -151023777*q**3 + 5*q + 75511912*q**3 + 75511886*q**3 - 5*q.\nAnswer: 21*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26 = -3*y + 5*v, -5*v + v - 4 = 0. What is the remainder when 16\/(-3)*36\/(-16) is divided by y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*u - 35 = 6*u. Solve z - 30 = u*z for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 934683.2 plus 8.642575?\nAnswer: 934691.842575","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 11108, -15, -5, -3 in descending order.\nAnswer: 11108, -3, -5, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = j - 1. Let y be f(13). Solve -y*o - 15 = -7*o for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 30?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*c = -2*f + 10, 0 = -2*c - 4*f - 0 + 4 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1*-1*(-21)\/(-6)*-274. Let t = 1468 - k. Is t prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 194 is divided by 57.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t = -s - 30, 0 = -2*s - s + t - 74. Let r be 6\/(-10) + 110\/s. Let f be r\/(-28) - 6\/8. Is -1 less than or equal to f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -44 - -40. Let p(o) = 1. Let i(z) = z + 1. Let j(g) = -i(g) - 2*p(g). Calculate j(l).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -26.09 - 95.91. Which is bigger: 1 or c?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in fifteen quarters of a millimeter?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand 7*k**2 - 7*k**2 + 7*k**2 + (-34*k**2 - 532*k**2 + 118*k**2)*(-1 - 2 + 4).\nAnswer: -441*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 30728?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-1)\/10 + 0 - (-7105)\/22050. Let v = 6 - 4. Let d = v + -1. Which is the closest to p? (a) 0.2 (b) d (c) 4\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1494*u + 25557 = 822*u - 545*u for u.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m - 7 = -0*m. Which is bigger: m or -22\/3?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.23351 + -0.233545314. Round t to seven dps.\nAnswer: -0.0000353","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 234561 (base 12) to base 3\nAnswer: 1001211120101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-6)\/3*(-2)\/(-1)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1948.5 - -1943.5. Let s = 0.1 - 1.1. Which is the nearest to s? (a) -6 (b) z (c) -2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = u**2 + 17*u - 16. Let v be x(-18). Which is the second biggest value? (a) 0.1 (b) v (c) 1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 4.1 and -231?\nAnswer: -947.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) be the first derivative of -v**6\/12 + 6*v**5\/5 + 3*v**4\/8 - 17*v**3\/3 - 6*v**2 + 61. Determine c, given that q(c) = 0.\nAnswer: -1, 0, 2, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xnnuvjuuvv. What is prob of picking 1 j and 2 n?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7874 is divided by 347?\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (22*j + 26*j - 19*j)*(-12*j - 135 + 135).\nAnswer: -348*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*x**2 - 2*x - x**2 - 8*x - 3 + 5*x in the form u*x**2 + b*x + m and give m.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-322)\/(-4) - (-3)\/6. Let u(k) = k - 1. Let r(o) = 3. Let s(w) = r(w) + 3*u(w). Let z be s(3). Calculate the highest common divisor of x and z.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 47*c - 107*c + 436 - 76 = 0 for c.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((x**(-3\/7)*x)\/x*x)\/(x*x*x*x*x*x\/x**5*x*x))\/((x*x\/(x*x*x*x*x*x\/((x\/(x*(x**(2\/23)\/x*x)\/x))\/x))*x)\/x**(-2)) assuming x is positive.\nAnswer: x**(-216\/161)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -258*h = -252*h - 114. Let g = -5 - -10. Suppose -g*v = -h - 1. Solve 23 = y + v*k + 4, 0 = 5*y + k for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -v**3 + 6*v**2 - 8*v + 2. Let b be k(4). Suppose l = -2*a + 2*l - 15, -3*a = -5*l + 33. Does 7 divide 17 + a\/b + 0?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n = 3*r - 140, -269*n = 4*r - 265*n - 144. What is the remainder when r is divided by (2 - (-1)\/(-1)) + 6?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hh when two letters picked without replacement from {h: 3, w: 1}.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = 10*i**3 - 2*i**2 + 7*i - 7. Calculate o(1).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i = -2*n + 260, 5*n = 4*n + 4*i + 140. Suppose -187 = -h + n. Is h a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2.921 + -0.079. Let h = -1194 + 1180. Is q equal to h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -2\/219 and -1199544 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) be the first derivative of 23 + 0*o + 0*o**2 + 0*o**3 + 19\/4*o**4. What is q(-1)?\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 52934103?\nAnswer: 3, 5881567","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = 15*u**4 + 51*u**3 + 67*u**2 + 37*u + 6. Let i(d) = -15*d**4 - 51*d**3 - 68*d**2 - 38*d - 6. Let m(w) = 4*i(w) + 5*z(w). Factor m(h).\nAnswer: 3*(h + 1)**3*(5*h + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15\/29 >= 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q - 1142 + 372 = 0. Suppose -168 = 25*l - 37*l. What is the greatest common factor of q and l?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13303 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 1471394 to the power of 1\/5, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -y**2 + 3. What is j(3)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 5 - -b?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 95*c - 385*c + 104*c + 99*c + 96*c.\nAnswer: 9*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (5 - 8)*3\/27. What is the nearest to 2 in -0.5, -3, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -46073245 - -46073241.03000208. Let i = 3.97 + p. What is i rounded to seven dps?\nAnswer: 0.0000021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(12) + sqrt(12)*3 + -3.\nAnswer: -3 + 8*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (10 + (-408)\/40)*(-35)\/(-3)\nAnswer: -7\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 28 or 92\/73?\nAnswer: 92\/73","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -t**2 - 3*t - 3. Suppose 10 = -l + 2*l + 4*p, 3*l - 6 = -4*p. Calculate z(l).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 14803674?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4380, -5076, -5906, -6870, -7968, -9200?\nAnswer: -10566","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_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 h(r) be the third derivative of 0 - 1\/180*r**5 + 0*r - 1\/18*r**3 + 3*r**2 + 1\/36*r**4. Factor h(g).\nAnswer: -(g - 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = 11*l - 66. Give p(6).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((l*l**(-1\/2)*l)\/l)\/l)\/l*l**4\/l*l**(4\/9)*l**(2\/11))**(1\/15) assuming l is positive.\nAnswer: l**(421\/2970)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 355 minutes after 9:44 AM?\nAnswer: 3:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (10\/28)\/((-777)\/(-76146)).\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1846651 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -2 + ((-3)\/3 - 2). Let r be 1\/i - 192\/40. What are the prime factors of (-6)\/(-15) - 38\/r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-3 - (-7 + 2))*(-6)\/(-4). Suppose 9 = y*j - 6. Suppose 2*d = j*d. Solve -f = -d*f - 1 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 247367347 to the power of 1\/4, to the nearest integer?\nAnswer: 125","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -57\/85 and (-38 - 0) + -16 + 17.\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 37*q - 2*q**3 - 1074789*q**2 + 4*q**3 + 1074789*q**2.\nAnswer: 2*q**3 + 37*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 6499542793 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*l**6 - l + 119*l**5 + 9*l**3 + 78*l**5 - 9*l**3 + 492*l**2 + 121*l**5 wrt l?\nAnswer: 240*l**3 + 19080*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -6*n**3\/5 + 81764*n**2\/5 - 27254*n\/5.\nAnswer: -2*n*(n - 13627)*(3*n - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-28)\/21*(-24)\/2. Suppose -2*p - y = y - n, -2*y = 4*p - 30. Solve -4*h + 2*v = 18, -h + v - p = -0 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + -1 + (-5 - 1).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 395 or -599?\nAnswer: -599","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.039? (a) -3\/76 (b) 14\/3 (c) -0.0663\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 23*h**3 + 9*h**3 - 5*h + 3*h.\nAnswer: 32*h**3 - 2*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -g**3 + 216*g**2 + 988*g - 23577. Calculate o(220).\nAnswer: 183","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 531 and 13427043?\nAnswer: 177","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 67912.\nAnswer: 2, 13, 653","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0 - 2*p**4 + 2 + p - 4*p**3 + 4*p**3 to o*p**3 + z*p**4 + h*p + i*p**2 + g and give i.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -9222323.4 rounded to the nearest 1000?\nAnswer: -9222000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 4\/9, -1.2, 6, 10?\nAnswer: -1.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1316 - 2*9\/(-18)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4498568.\nAnswer: 2, 283, 1987","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-18)\/15)\/(3\/(-10)). Solve 7*b - 12 = k*b for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*n - 140 = 994. Is n a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (n**2 - n**2 - 2*n**2)*(-26*n**2 - 13*n**2 - 6*n**2) to r*n**3 + w*n**4 + i + g*n**2 + t*n and give w.\nAnswer: 90","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 402402?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-3588)\/(-621))\/((-280)\/45 - -6)?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 6 + -23. Let w(d) = -d**3 - 17*d**2 + 3. Let h be w(p). Suppose -5*a + 90 = 3*y - 26, h*y - 5*a = 76. List the prime factors of y.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 65695 and 105.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 554.88 - 50550070.\nAnswer: -50549515.12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (-1*sqrt(1053)*5 + 0 + (-2*sqrt(1053))**2)*-2.\nAnswer: -8426 + 90*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.05 + 0.04. Let m = 0.41 + q. Which is the nearest to -1\/4? (a) m (b) 3\/4 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 40 and 75?\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 5823 and 113292?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 58\/3 of a year?\nAnswer: 232","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -109 (base 12) to base 14.\nAnswer: -ad","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) be the first derivative of 0*y + 0*y**4 + 0*y**5 + 23 + 23\/2*y**2 + 0*y**3 - 23\/6*y**6. What is the second derivative of d(h) wrt h?\nAnswer: -460*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -7 + o**3 + 4*o + 0 + 8 as z*o**2 + d*o + l + w*o**3 and give w.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 32\/40 - 67261\/(-5) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -322.7402 + 320.86. Is y at least 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -585708.15 to the nearest one thousand.\nAnswer: -586000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 13 (base 16) to base 5.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 353 + -317. Suppose 6*x - i = -24. Find c such that -2\/3*c - x*c**3 - 2\/3*c**4 - 2*c**2 + 0 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 40\/75*81 + (-6 - (-667)\/115).\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00015005 to six dps.\nAnswer: -0.00015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*q**5 + 305*q**4 - 4650*q**3 + 29700*q**2 - 85320*q + 90720 = 0. Calculate q.\nAnswer: 3, 4, 6, 42","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zzzzcczczcczzccz. What is prob of sequence cczz?\nAnswer: 9\/130","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 71 times -1.89?\nAnswer: -134.19","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 6180 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 41226.99 decades in centuries?\nAnswer: 4122.699","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*sqrt(76) + 1.\nAnswer: -4*sqrt(19) + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = 19*x**2. Let k(s) = -18*s. What is k(p(f))?\nAnswer: -342*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*j**3 + 18414*j**2 + 92148*j - 257936.\nAnswer: -2*(j - 9212)*(j - 2)*(j + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is -261 smaller than 42\/25?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = 18*l**3 + l + 3. Determine v(-2).\nAnswer: -143","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -2 - 255a0?\nAnswer: -255a2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = j + 16. Let z be u(-13). Let h(d) = 6*d + z - 3*d - 2. Give h(-2).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:11 AM and 4:48 AM?\nAnswer: 97","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -79\/1314 and -58\/45.\nAnswer: 6570","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 51321, 102645, 153967, 205287, 256605?\n\"Answer: -w**2 + 51327*w - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) be the second derivative of 13*i**6\/60 + 7*i**3\/6 - 6*i**2 - 3*i. Let v(p) be the first derivative of m(p). What is the first derivative of v(h) wrt h?\nAnswer: 78*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (10\/(-7))\/2*(44\/(-11) - (5 - 6)).\nAnswer: 15\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2132320*h**5 + 971166*h wrt h?\nAnswer: -42646400*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -3 divided by -19323472\nAnswer: 3\/19323472","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(396) + ((sqrt(396) - (sqrt(396) - (0 + sqrt(396)))*-1)**2 + sqrt(396) - sqrt(396)) - -1*-1*sqrt(396))*-5.\nAnswer: -1980","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -15 + 32. List the prime factors of x.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 697957 - 487248. Is i prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*p**3\/3 + 1418968*p**2 + 377565387660*p + 63417636178400\/3.\nAnswer: 4*(p + 56)*(p + 532085)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**(-2\/7))**28\/((z**1\/z)\/z*z)**(-1))**(1\/15) assuming z is positive.\nAnswer: z**(-8\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -59351*u**3 - 1169*u + 1169*u + 57595*u**3.\nAnswer: -1756*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-300686)\/(-81004) - 2\/(-11). Let r = w + -66\/263. Calculate the common denominator of r and 55\/2.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -r**4 - r**3 + 2*r**2 + r. Let j(y) = -76*y**4 + y**3 - 4*y**2 - 3*y - 13. Let k(t) = -2*h(t) - j(t). What is the second derivative of k(m) wrt m?\nAnswer: 936*m**2 + 6*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 + 1573\/(-66) + 5\/6?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -634511*o*x**2 - 11*o*x + o - 109075 wrt x.\nAnswer: -1269022*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express (492 - 45*u - 492)*(0*u**3 + 0*u**3 - 2*u**3) in the form f*u**3 + s*u**2 + i + b*u**4 + n*u and give b.\nAnswer: 90","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -12*h + 1. Let a be o(-1). Solve 5*l = a + 2 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -277 - -8.\nAnswer: -269","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p = 4*p - 8. Let u be (1 - 2)*(p + -6). Suppose u*b + 4 = -5*t, 5*b = -4*t + 9 + 15. What is the least common multiple of 16 and b?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13103330 (base 4) in base 11?\nAnswer: 20556","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 16\/1*190827\/(-234864)?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -1101*n + 192. Let p(i) = 1098*i - 231. Give -5*p(j) - 6*q(j).\nAnswer: 1116*j + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = m**3 - 2*m - 1. Calculate t(1).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23 = -8*g + 17 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 19347 to the nearest integer?\nAnswer: 139","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4919, 5439, 5959?\nAnswer: 6479","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = 2*r + 121. Let n(s) = -19*s**2 + 7*s + 14. Let y(f) = -13*f**2 + 5*f + 10. Let i(d) = -5*n(d) + 7*y(d). What is i(m(v))?\nAnswer: 16*v**2 + 1936*v + 58564","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 5704.59 to the nearest ten thousand.\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = 3*t - 6. Let o(u) = 25*u - 48. Let c(j) = 51*l(j) - 6*o(j). Let f be c(7). What is the least common multiple of 6 and 12 + 15\/(-5) - f?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 164 - 176. Let b(a) = a**3 + 14*a**2 + a + 19. Is b(o) a multiple of 34?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -249656, -249738, -249820?\nAnswer: -249902","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 31 and -3973.\nAnswer: -123163","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -u**3 - 5*u**2 + 191*u + 1198. What is i(-13)?\nAnswer: 67","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*m - 4*t + 30, 4*m - 24 = t - 4*t. Suppose 0 = -5*g + m*g. Sort -2, g, -6 in increasing order.\nAnswer: -6, -2, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*n + 5*l = -5*n - 8267, -2*n = -3*l - 8277. Suppose -23*s + 17*s + n = 0. What is the tens digit of s?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-s + 0*s + 2*s)*(-49 + 88 - 42) - 6*s - 14 + 21 + 8*s to the form w + f*s and give w.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (15 - 11) + -12 + 14 + 4?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 p and 1 e when three letters picked without replacement from pepepeeapeeep?\nAnswer: 35\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(sqrt(104)\/sqrt(2))\/sqrt(4).\nAnswer: 6*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = h**2 + 8*h + 13. Let f be v(-5). Suppose 1 = -3*r + 7. Suppose -4*d + 32 = -4*s, -r*d - s - 28 = -7*d. Put f, 4, d in decreasing order.\nAnswer: d, 4, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*a**3 - a**3 + 2*a**3)*(1 - 2 + 0)*(-42*a + 74*a - 43*a + 9).\nAnswer: 11*a**4 - 9*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 1330+-618.3\nAnswer: 711.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(12)\/((sqrt(8) - sqrt(8)*3)\/sqrt(2)) + sqrt(3) + (-5*1*sqrt(3) + sqrt(3) - sqrt(3)) + -5 + sqrt(15)\/sqrt(5))**2.\nAnswer: 35*sqrt(3) + 247\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 858?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide -419 by 1092.\nAnswer: -419\/1092","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 53, -66, -189, -316, -447?\nAnswer: -582","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -u**3 + 55*u**2 - 757*u + 90. Let w be d(29). Let x(a) = -a + 1. Let n be x(5). Let r be 2\/5 - 37\/5. Put w, r, n in decreasing order.\nAnswer: w, n, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*l - l + 0*l + (0*l - 7*l + 5*l)*(3 + 2 - 8) + (-5 + 3 + 4)*(0*l - 4*l - l) + l + 4*l - 3*l + 0*l + l + l to y + w*l and give w.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3.03 - -0.03. Suppose -8*u + 28 = -5*o - 5*u, 4*o - 2*u = -24. Let r be (-1)\/((-28)\/o) - 0. Which is the closest to 1\/3? (a) m (b) r (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 + -1 + -12 - (-15 - 0 - 0).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-15)\/(-20) + (-54)\/8. Let t(a) = a**2 + 8*a + 8. Calculate t(z).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 52480?\nAnswer: 2, 5, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -s**3 + 11*s**2 - 3. What is c(11)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -p + 1. Let i be t(-5). What is the units digit of (i\/(-4))\/(5\/(-10))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 39571180 to the nearest integer?\nAnswer: 341","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = o**3 - 21*o**2 - 35*o - 92. What is the least common multiple of s(23) and 46?\nAnswer: 322","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -58 + -137 + (11 - -287).\nAnswer: 103","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00035897612 rounded to five decimal places?\nAnswer: -0.00036","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 1, h: 2, k: 2}. Give prob of picking 1 h, 1 k, and 1 j.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-t - 2*t**3 + t)*(-4*t - 1 + 1) - 2*t**4 + 7*t**4 - t**4 + (-2*t + t - t)*(-2 + 2 - t**3).\nAnswer: 14*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = 73*r**2. Let c(m) = -9*m**2 + 5*m + 10. Let g(v) = 14*v**2 - 8*v - 16. Let z(s) = -8*c(s) - 5*g(s). Determine l(z(h)).\nAnswer: 292*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*x + 4*u + 10063 = 10068, 14*u = 5*x + 1 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) be the first derivative of 5*j + 7 + 4*j + j + 3*j**3. Find the first derivative of d(s) wrt s.\nAnswer: 18*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -15 - -13.3. Let q = -1.6 - r. Let k = -0.1 - 0.2. Which is the closest to q? (a) k (b) 1\/7 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 518 + -522. Which is the nearest to 2? (a) -3 (b) s (c) -2 (d) -1\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 18 + 20 + 7 + -61?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 443 times -0.0677?\nAnswer: -29.9911","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -22*j - 23*j + 40*j.\nAnswer: -5*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 1 + -5ac?\nAnswer: -5ab","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1446 - 1445. What is the closest to -0.1 in l, -24, -4, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 123\/80 and -31\/340.\nAnswer: 1360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 76432666?\nAnswer: 2, 89, 429397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m - 4 = d - 9, 5 = -d - 3*m. Let f(k) = 8*k**2 + 17*k - 16. Let b be f(d). Let p(l) = -5*l - 1. Let r(s) = 10*s + 2. What is b*p(z) + 4*r(z)?\nAnswer: -5*z - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 20.6 - 16.6. Sort r, 3\/4, -0.1, 0.06, -2\/13 in descending order.\nAnswer: r, 3\/4, 0.06, -0.1, -2\/13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -89\/72 and 41\/4488.\nAnswer: 13464","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 98472885*a**4 - a**3 - 166355992*a.\nAnswer: 1181674620*a**2 - 6*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = v**3 + 30*v**2 - 111*v - 42. Let j be m(-33). Let p = -358 + j. Which is the biggest value? (a) 0.3 (b) p (c) -0.5 (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*z**2 - 6*z**2 - 25*z**2 to the form w + d*z + q*z**2 and give q.\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = 7*a + 9 + 4*a**2 - 10*a**2 - 12*a - 3*a**3. What is the units digit of t(-4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 240\/59 (b) -0.1 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.04 - 0.16. Let p = 43 + -43. Let l be (-1*15\/10)\/(-3). Which is the biggest value? (a) p (b) l (c) -5 (d) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 + m)*(m + 0 + 0) + 803*m + 1 - 128*m**2 - 127*m**2 - 3 + 251*m**2.\nAnswer: -3*m**2 + 803*m - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 33878883?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -52, -137, -292, -535, -884, -1357?\n\"Answer: -3*u**3 - 17*u**2 - 13*u - 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 2 + 59e?\nAnswer: 5a1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = k**3 - 4*k**2 - 2*k + 1. Let u(l) = l**3 - 5*l**2 - 2*l + 1. Let m(t) = 7*h(t) - 6*u(t). List the prime factors of m(-2).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 25480 and 29645.\nAnswer: 245","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -166*u**3 + 7*u**2 - 8*u wrt u?\nAnswer: -996","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 57369 + ((-22)\/(-55))\/(1\/(-5)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 14\/(-28) + (-98)\/(-4). Suppose -4*a - 2*g - 62 = k, a = 4*g - 35. Let r = 28 + a. Solve 0 = d + r*b + 15, 0*d = 4*d - 3*b - 9 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 758 + -741. Which is greater: 2\/31 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*j + 12*o - 8*o = 16, 5*o = -j + 17 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-7 + 6)*(-3)\/(-9)*-2. What is i in j*i**2 - 2\/3 + i = 0?\nAnswer: -2, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2011 to the power of 1\/2, to the nearest integer?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3\/11 in -2\/9, -0.2, 0.020098?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -6 + 5.6. Let l = 4.1 - 4. Let o = m - l. Which is the closest to -1? (a) -2\/5 (b) 4 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (13*i**2 - 17*i**2 + 61*i**2)*(i + 2 - 2)*(0 - 3 + 1).\nAnswer: -114*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -19? (a) -0.31 (b) 123 (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 41 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 13 - 8. Find the third derivative of 0*f - 14*f**2 - 14*f**q + 0*f + 7*f**2 wrt f.\nAnswer: -840*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -8*(-3 + 5)*5\/(-10). Suppose 2*u = -0*u - 4*j - f, 3*j = -6. Solve -9*q + 10*q = u for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 34 + 5. Let t = -3 + f. Suppose 19 + t = 5*p. List the prime factors of p.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 509, 3869, 12923, 30503, 59441?\n\"Answer: 472*s**3 + 15*s**2 + 11*s + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 54 = -11*k - 34*k + 369 for k.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:49 PM and 3:17 PM?\nAnswer: 88","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 4813035*u**5 + 1220491*u**2 wrt u.\nAnswer: 288782100*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 36\/253 + -28949\/2530. What is the common denominator of 2*4*10\/(-14) and k?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = 9*w**3 - 7*w**2 + 13. Suppose 3*d = 3*p - 30, 0 = 2*d + 4*p - 12 + 14. Let v(a) = 4*a**3 - 3*a**2 + 6. What is d*v(n) + 3*z(n)?\nAnswer: -n**3 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 192674 + -192673.9725377. Let j = 0.0275 - r. What is j rounded to 5 decimal places?\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 382*t - 186 wrt t.\nAnswer: 382","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -32*b**2 + 62*b - 62*b.\nAnswer: -32*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-4)\/(-2))\/((-38)\/(-57))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*a + 5*a - a)*((3 - 10 + 37)*(-5*a + 0*a - 3*a) - 2*a - 4*a + 4*a + a - 2*a + 3*a + (3 + 1 - 5)*(-2*a + 2*a + a)) - a + 2*a**2 + a.\nAnswer: -1444*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 9184 to the power of 1\/9, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 7 + -4. Suppose 2*t + 0 - 6 = 0, x*d = 3*t - 21. Let l be -4 + 34\/8 - (-4161)\/d. What is l rounded to the nearest one hundred?\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*t = -14*t. Let s(z) = -z**2 - z. What is s(t)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 21*i**2 - 21*i**2 - 8*i**4 + (1 + i + 0*i + 0)*(421*i**3 + 1946*i**3 - 498*i**3) in the form z*i + g*i**3 + v + f*i**4 + x*i**2 and give x.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 38310 and 645.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2496485221 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 338241*g - 1014702*g + 338229*g - 4*g**3 + 338232*g + 5*g**3.\nAnswer: g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 204524?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = 3*c**2 - 7*c - 1. Let r be g(6). What is r rounded to the nearest ten?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1 - 33*(-2 - -1). Suppose 12 = 3*h + 5*c - 2, -5*h - 3*c + i = 0. List the prime factors of h.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1162 - 3527 - 2200 - 836)*(-4*k + 1 - 1) to the form i*k + v and give i.\nAnswer: 21604","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -17843, -17923, -18003?\n\"Answer: -80*v - 17763","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = 2*v**2 + 2 - 4 - 3*v**2 - 3 + 4*v. Suppose -5*j + 22 = -d, j + 4*d = -0*j - 4. Suppose 25 = b + j*b. Determine c(b).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((0 + sqrt(1573))*6 - (sqrt(1573) + 3 + -2*sqrt(1573) + sqrt(1573))) + -3 - -3*-6*(sqrt(78) + -6*sqrt(78)*-1)\/sqrt(6))*-3.\nAnswer: 18 + 180*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 44\/231000*-60*21.\nAnswer: -6\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*u = 11390 + 3106. Does 8 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x - 7 = -z - 0*z, -4 = -4*x. Suppose -2*r + 2 = -16. Calculate the highest common divisor of r and z.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 1, v: 3, t: 1, m: 3, e: 3, o: 2}. What is prob of sequence oey?\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c - 8 = 22. Let v(o) = 2*o - 3. Let w be v(c). What is the greatest common divisor of 63 and w?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -s**2 + 23*s - 126. Let y be r(13). Solve 4*u + 1 = g + 3*u, -2 = -2*g - y*u for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.26697383 rounded to 2 dps?\nAnswer: -0.27","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 638 and 252416?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:07 AM and 8:12 PM?\nAnswer: 605","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 492 minutes after 4:23 AM?\nAnswer: 12:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o + 12 = 3*o. Let j(z) = -5*z + 2. Let p(m) = -1. Let v(u) = j(u) + 2*p(u). What is the smallest common multiple of v(-2) and o?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -29 = 2*d + 5*m, -5*d = 1772*m - 1775*m - 36 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.0547 * -0.4.\nAnswer: 0.02188","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 minus -8402874392?\nAnswer: 8402874390","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 21838 and 327570?\nAnswer: 327570","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Work out 71.1 + 2379.3.\nAnswer: 2450.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = z**2 + 9*z - 7. Calculate the lowest common multiple of 18 and f(-14).\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 - (-2 + 5)*-384 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cccyyc. Give prob of picking 2 c.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -19687692 divided by 6562564\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) be the third derivative of -11*f**5\/60 + 31*f**2. Let q(x) = -7*x**2. Let w(y) = y**2. Let c(t) = -q(t) - 5*w(t). Give r(c(d)).\nAnswer: -44*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -354*l = 713*l + 57618 for l.\nAnswer: -54","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 80*-18*35\/1260?\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -745, -2753, -6075, -10705, -16637, -23865?\nAnswer: -32383","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 849\/46 - 398177\/21574. Let n = r - 855257\/10787. Let w = n + 79. Put w, -4, 1\/7 in ascending order.\nAnswer: -4, w, 1\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/25 of a litre in millilitres?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 16\/((-80)\/21)*65\/(-39).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2160 - -2162. Suppose -5*x + 3*z + 5 = 4*z, 20 = 4*x + 4*z. Solve -j*q - q = x for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -22 + (52 - 29) + 4.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = l**2 + 5*l + 6. Let y be 0 + -2 - 1*5. Let q be i(y). Let n = q + -22. Which is the smallest value? (a) n (b) -4 (c) 2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1645136250 to the power of 1\/5, to the nearest integer?\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ojx when three letters picked without replacement from {o: 4, i: 2, j: 1, x: 1}.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand -6*d**3 - d**3 - 11*d**3 + (-32*d**2 + 31*d**2 - 11*d**2)*(-1 + 3*d + 1).\nAnswer: -54*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 657782 rounded to the nearest 1000?\nAnswer: 658000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -226275, 5.\nAnswer: -226275, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m - 2*p = 3931078, 2*m = 4*m + p - 3931087. Let c = 5265542 - m. Round c to the nearest 1000000.\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 4, f: 1, x: 6, z: 1, d: 3, t: 3}. Give prob of picking 2 x and 1 d.\nAnswer: 15\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 401 = -10*n + 1301. Calculate the smallest common multiple of 40 and n.\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5642)\/(-1209)*4\/420.\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = x**2 - x - 1. Let u be d(-2). Suppose 4*q - u = -1. Let f be (q - 0)*2 + -1. What is the greatest common factor of f and 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:23 PM and 1:46 AM?\nAnswer: 623","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10880*n**3 - 66033*n**3 - 53049*n**3 - 22867*n**3.\nAnswer: -131069*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2730 and 68978.\nAnswer: 182","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2967, 2968, 2971, 2976, 2983, 2992?\nAnswer: 3003","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -46.7755894 rounded to the nearest ten?\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s - 8*q + 3 = -4*q, q = 0. Solve 0 = f + s*f - 3*t + 4, 0 = -4*f - 5*t - 36 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -251*l + 762. Determine m(3).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((d\/(d**7\/d))\/d*d)\/d*(d*(d\/(d*d**(1\/6)\/d))\/d*d)\/d)**(-1\/2)\/(((d\/(d*d\/d**(-1\/2)))\/d)**(3\/10)*d**(1\/6)*d*(d*d\/d**(-2\/11))\/d) assuming d is positive.\nAnswer: d**(65\/66)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 709254*25\nAnswer: 17731350","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -96*n = -91*n - 220. Let m(v) = 28*v - 16*v - n*v. Let q(h) = -3*h. Give q(m(i)).\nAnswer: 96*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 117 + -33. Let g be (-3)\/(-4)*(-48)\/s. Which is the smallest value? (a) g (b) 4 (c) 6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -18970*m**2 - 7*m - 18204. Let j(w) = 25293*w**2 + 9*w + 24272. Let h(v) = -7*j(v) - 9*o(v). Differentiate h(q) wrt q.\nAnswer: -12642*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (i + 0 + 0)*(26*i + 2218*i**2 + 33*i - 59*i + 2926*i**2).\nAnswer: 5144*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:29 AM and 4:12 PM?\nAnswer: 283","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 405\/72*(-50)\/(-375). Which is the nearest to -31? (a) -5 (b) 1\/4 (c) y (d) 12\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-15)\/(-3) + -1)*(-44901)\/(-108) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is c in 2*c**3 + 46*c**2 + 112*c - 160 = 0?\nAnswer: -20, -4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1859 + -1768. What is the remainder when 288 is divided by m?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 8833 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 776003923 a multiple of 1319?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:01 PM and 6:08 AM?\nAnswer: 667","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 27 - 11. Suppose -14*t = -i*t + 102. What are the prime factors of t?\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10664304 to the power of 1\/2, to the nearest integer?\nAnswer: 3266","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in seventeen sixths of a minute?\nAnswer: 170","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p - 3*j + 32 = 0, 3 = j - 1. Let f be (p\/(-30))\/(2\/12). Which is the third biggest value? (a) -0.2 (b) f (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -262, -8, 246, 500, 754, 1008?\n\"Answer: 254*l - 516","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of -91 and -0.332.\nAnswer: 30.212","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put 102, -2, 2 in decreasing order.\nAnswer: 102, 2, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*o - 5*w + 559, -148 + 522 = -2*o + 3*w. Suppose 4*y - 6*y - 1384 = 5*i, 0 = -5*i - 4*y - 1388. Let m = o - i. Is m composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.036328545, 2\/7, 2\/3?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -5717, -5666, -5615, -5564, -5513?\n\"Answer: 51*k - 5768","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.206347 + -138.199647. Let o = 167.2 - 29.2. Let h = o + w. What is h rounded to 3 decimal places?\nAnswer: 0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fyyfyffffy. Give prob of picking 2 y.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) be the first derivative of -637*p**3 - 6335. Let x(t) = 5*t**2. Determine x(o(b)).\nAnswer: 18259605*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -5 + 8. Suppose 3*s + 18 = 3*l, 2*l - 3*s = 4 + 3. Suppose -l = -a - 0*a. What is the lowest common multiple of j and a?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -5*z - 12. What is the units digit of f(-14)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -4 - 1. Let u be 19\/(-10) + 4\/10. What is the second smallest value in g, u, 2?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) be the third derivative of -a**6\/150 - a**5\/150 + a**4\/12 - 2*a**3\/15 - 8*a**2. Factor k(m).\nAnswer: -2*(m - 1)*(m + 2)*(2*m - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 251 minutes before 7:46 PM?\nAnswer: 3:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -1290*c**3 + 3*c**2 + 6*c - 4. Suppose 2 = -32*o + 33*o. Let l be h(o). What is l rounded to the nearest one thousand?\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2461 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/(-25)*(1\/3)\/(76\/(-1140)).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1 + -1. Let f be ((-1)\/c)\/((-1)\/(-4)). Suppose 4*k - 2*s + 5 = 7, -4*k + 3 = -s. Which is bigger: k or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*p - 68 + 8 = 0. Let x be ((-16)\/p)\/(6\/(-75)). Does 4 divide 112\/(-20)*x\/8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -106*j - 1626. Let i be l(-16). Suppose 0 = -2*o + 66 + 18. What is the greatest common factor of o and i?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m = 3*s + 57, 3*m = -0*m - 5*s + 89. Let k = 53 - m. Calculate the greatest common factor of k and 30.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let p(h) be the third derivative of h**3\/6 + 4041*h**2 - 2. Let v(o) = 12*o + 1. Suppose -c = c - 2*w - 2, 3*c + w + 5 = 0. Determine c*p(q) + v(q).\nAnswer: 12*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2\/3, 1\/21, 0, -3\/5, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((s**(-6)*s*s)\/s)\/s*s)\/s**(-2))\/(s**8*s**(-3))*(s\/s**4)\/s*s\/(s*s\/s**1)*s**(-9)*s\/(s*s*s**(1\/4)) assuming s is positive.\nAnswer: s**(-89\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -5*2\/4*-14. Suppose 4*p + j + 54 + 50 = 0, -62 = 2*p + 3*j. Let r = p + c. Is 10 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2\/3 (b) 6\/211 (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 20*w**2 - 39*w**2 - 29*w**2 to a*w**2 + h*w + f and give a.\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -96417938*f**2 + 81552630*f?\nAnswer: -192835876","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 456, 923, 1388, 1851, 2312, 2771, 3228?\n\"Answer: -u**2 + 470*u - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 79 divide 2071739?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 74 - 35. List the prime factors of q.\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13*m**2 - 5*m**2 + 10*m**2 + 8*m**2.\nAnswer: 26*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -578 + 814. Let l = a - 215. Calculate the highest common divisor of l and 63.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 13325257 and 2277.\nAnswer: 119927313","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/(-230)*41\/((-2050)\/(-250)).\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*r**2 + 11*r**2 + r**2)*(-414 - 155 - 23).\nAnswer: -10656*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -s**3 - 2. Suppose 0 = -3*a - 204 + 192. Let z(v) = 3*v**3 - 22*v**2 + 121*v + 4. Let i(n) = a*w(n) - 2*z(n). Factor i(f).\nAnswer: -2*f*(f - 11)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -9 and -0.289?\nAnswer: 2.601","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*h + 869 = 5*r - 858 - 858 + 2593, -5*h = 3*r + 20 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*q + 5*q - 2. Let i be (1 - q) + -2 + (-129)\/(-45). Let x = 0.2 + -0.1. What is the second smallest value in x, -2\/9, 1, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 - ((2 - (-3 - -9)) + 6)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -4*l**2 + 117*l + 11. Let f be q(24). Let m = f + -304. What are the prime factors of m?\nAnswer: 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (40\/(-84))\/((-621)\/(-5796))*(-9)\/14?\nAnswer: 20\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (11\/(-4))\/(3\/12). Is -11 greater than or equal to p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 54\/(12\/4) - 2. Let q(k) = 15*k + 7 + 6 - l*k. Let z be q(6). Calculate the greatest common divisor of 56 and z.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 141115 divided by -6?\nAnswer: -141115\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence od when two letters picked without replacement from {l: 1, o: 2, d: 1, u: 1, n: 2}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 68 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b = 9*b. Suppose d + 4*u + 6 = b, u - 2*u = -4*d + 27. Let v = 70 - 28. What is the highest common divisor of d and v?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((6291\/(-8155))\/((-9)\/21))\/((9\/330)\/(-1))\nAnswer: -66","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = 5*i**2 - 59*i - 9. Let j be d(12). What is the fourth smallest value in j, 4, -0.5, 2?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*u**3\/13 + 952*u**2\/13 - 28910*u\/13 - 879244\/13 = 0 for u.\nAnswer: -503, -19, 46","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = z**3 + z**2 - 59*z + 272. What is m(6)?\nAnswer: 170","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = 15*j**2 + 1366*j + 114. Determine a(-91).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 345 divided by -69.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 727516\/19 less than or equal to -0.3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3\/2)\/(96\/256).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y + 96*m + 3574 = 95*m, -2*y + 1780 = -4*m. Is 5 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 381251, 1525117, 3431561, 6100583, 9532183?\n\"Answer: 381289*t**2 - t - 37","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27 - 72 = -9*p. Let k(j) be the third derivative of 0*j**3 + 1\/12*j**4 + 1\/60*j**5 + 0*j + 0 + p*j**2. What is t in k(t) = 0?\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 318 - 318. Put r, 1, -0.03 in ascending order.\nAnswer: -0.03, r, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3 = n + o, 9038*n - 7 = 9033*n - 4*o for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1861?\nAnswer: 1861","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1215) + sqrt(1215)*1)\/(-1*(sqrt(3)*-2 - sqrt(3)) + sqrt(3)).\nAnswer: 9*sqrt(5)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10 (base 4) to base 5.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 60 - (6 - 4) - 72 - (2 - 1 - 53)\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1\/(-7))\/(2596\/(-154) - -17).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1, -14, -33, -58, -89, -126, -169?\nAnswer: -218","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -298\/7*b**3 + 2299\/7*b - 1331\/7 - 1\/7*b**5 - 638\/7*b**2 - 31\/7*b**4.\nAnswer: -(b - 1)**2*(b + 11)**3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -22*r**2 - 2*r. Let k(t) = 7*t**2 - 11*t + 33. Let l(j) = -2*j**2 + 3*j - 9. Let u(v) = -6*k(v) - 22*l(v). Determine u(h(q)).\nAnswer: 968*q**4 + 176*q**3 + 8*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -40 + 40 - 4*w + 7*w.\nAnswer: 3*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 9\/12*(-24)\/(-9). Suppose u*q + 118 + 126 = 0. Let i = q - -589. Is i a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -12031 <= -12040?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is -5084637 at most as big as -5084637?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.05737891 + 1.85737441. Let g = z + -1.8. What is g rounded to six decimal places?\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2691, 5296, 7901?\nAnswer: 10506","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28 = 3*j - 466. Let l = 177712 - 177560. Calculate the remainder when l is divided by j.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-16 - 29 + 16)*(-31*j**2 + 2*j**3 + 5*j**4 + 31*j**2).\nAnswer: -145*j**4 - 58*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 14875264 divided by 59264\nAnswer: 251","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1.3 - 0.3. Suppose -2*f + 4 = -3*s - 4*f, -4*f = 8. What is the second biggest value in y, -0.3, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.391912g in milligrams?\nAnswer: 9391.912","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1616638499?\nAnswer: 7, 31, 127, 58661","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -624 divided by 2.\nAnswer: -312","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k = 4*k, 3*j = 9*k - 6*k + 198. Calculate the remainder when 194 is divided by j.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 110*b + 45*b + 91*b - 17*b in the form n*b + h and give n.\nAnswer: 229","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u = -7*u + 45. Suppose 25*v - 82 - 74 = -6. Calculate the least common multiple of u and v.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2 - (-3)\/3*74. Calculate the greatest common divisor of m and 38.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*v + 1 - 33. Suppose 2*w = 0, -t - v = t - w. Let p = -4 - t. Solve 2*d - 10 = -p*d for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -31*c**3 - 4*c**2 - 4. Let j(d) = 1674*d**3 + 217*d**2 + 217. Give 4*j(k) + 217*q(k).\nAnswer: -31*k**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -2108721 (base 9) to base 10\nAnswer: -1128349","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 215 - 212. Solve 0 = 4*y + 4*j + 20, b*j = -0*y - 2*y - 11 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by 79\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*a + 10 = 2*x, -15 = -0*a + 5*a - 3*x. Solve 5*b = 3*y + 23, a = -3*b + y + 12 + 1 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z and 1 n when two letters picked without replacement from wpwzcqn?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 219700 and 2340.\nAnswer: 260","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -14\/45 and ((-122)\/(-305))\/(3*-2).\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (39 - 29) + (-115 - 2) - (-17 - (-59 + 29))?\nAnswer: -120","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*s + 5*z = 0, 3422*z = -2*s + 3419*z for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mmoj when four letters picked without replacement from {j: 1, m: 4, o: 6, i: 5}?\nAnswer: 3\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.298 and -135367406?\nAnswer: 135367406.298","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1675760.\nAnswer: 2, 5, 20947","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide 29934 by 113.\nAnswer: 29934\/113","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3 - -7. Let j = -3 + d. Let x = -0.087 - 0.313. What is the third biggest value in -1, x, j?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -210879*m**6 + 4*m**5 + m**3 + 1863*m**2 + 398*m + 9.\nAnswer: -25305480*m**3 + 240*m**2 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -4.2 + 3.8. What is the nearest to 2\/7 in w, 0.2, 2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a kilometer in meters?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3547*r + 21409*r - 472411 - 476748 = -56059 for r.\nAnswer: 50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 3\/56 of a week?\nAnswer: 540","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4*b**2*g*v + 4*b**2*g + 1881*b**2*v + 2*b**2 + 39*b*v + g*v + 15*g + 77*v wrt b.\nAnswer: 8*g*v + 8*g + 3762*v + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 7289 and 7092.\nAnswer: 262404","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -57529 + 111215. What is the tens digit of l?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -29 + 35. Let x(s) be the third derivative of 0 + s**2 - 1\/945*s**7 + 0*s + 0*s**3 - 1\/270*s**l + 0*s**4 - 1\/270*s**5. Factor x(d).\nAnswer: -2*d**2*(d + 1)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -10288*t**3 - 5*t**2 + 4*t + 22. Is d(-3) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/50 of a litre in millilitres?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 15 - 12. Suppose 7 - 1 = y*f. Solve -6*m + f*m - 18 = -b, -4*m = -4*b + 12 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = b - 32. Give d(0).\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9611*g - 9607*g - 3*o - 23 = 0, 5*g - o = 15 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2 + (-52150)\/(-21) + (-2)\/(-3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -262292708 divided by 131146354?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -9526*a**2*q**2 - 1253*a*q**2 + 6*a*q + q**2 wrt a.\nAnswer: -19052*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -2*j + 2. Let c(k) = -k**2 - 4*k - 3. Let h be c(-3). What is the closest to 1 in j, h, 3\/2?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 260123, 520246, 780369, 1040492, 1300615, 1560738?\nAnswer: 1820861","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -4417 from 0.06.\nAnswer: 4417.06","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*f - 15163 = -17*f - 4*x, f - 5046 = -3*x. What are the prime factors of f?\nAnswer: 3, 7, 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -3, 0.1, -3\/7, 0.01?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 87638 to the nearest integer?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 2\/19 + ((-2898)\/(-266) - 3)\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 74 divide 890905866?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 84494?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(110)\/(sqrt(20)\/sqrt(2)*6) + 5)**2.\nAnswer: 5*sqrt(11)\/3 + 911\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = 29*l - 177. Give s(6).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -8 divided by -6484997\nAnswer: 8\/6484997","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 20.1, 2, 2057 in increasing order.\nAnswer: 2, 20.1, 2057","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mekh when four letters picked without replacement from {k: 3, d: 6, h: 1, e: 2, m: 1}?\nAnswer: 1\/2860","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -10c3c5 (base 16) to base 7\nAnswer: -12224121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aaln when four letters picked without replacement from dsnlllsssssasaddnns.\nAnswer: 1\/5168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 1\/36 of a day?\nAnswer: 40","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*k + 2*k + 0*k)*(10*k - 42 + 42)*(1 - 2 + 2).\nAnswer: 20*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 5906?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 23 - (-20 + 31) - (-2 - -12)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3472974 + 3.\nAnswer: 3472977","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -13*z**3 - 3*z**2 - 6*z - 5. Suppose 9 = v + 25. Let d be 1*(v\/5 - (-7)\/35). Is h(d) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 10 and 2200.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -4de0 + 100?\nAnswer: -4ce0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 92948 divided by -2?\nAnswer: -46474","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 77 - 86. Let h(a) = -4*a - 30. Let d be h(z). Let o(m) = -m. Let q(i) be the third derivative of i**4\/6 - i**3\/6 - 9*i**2. Give d*o(y) + 2*q(y).\nAnswer: 2*y - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide 27550 by -50.\nAnswer: -551","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*d - 15, 11 = -4*y + 2*y - 5*d. Suppose -3*r = 2*s - y*r - 56, 4*s + r - 112 = 0. Calculate the greatest common divisor of s and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -38*b - 21*b + 35*b - 8*b**5 wrt b.\nAnswer: -160*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s**4\/2 + 99*s**3\/2 + 13155*s**2\/2 + 28457*s\/2 + 2583 = 0. Calculate s.\nAnswer: -41, -2, -1\/5, 63","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = 11*a. Let s(q) = -8*q**2 + 9*q - 9. Let w(f) = 2*f**2 - 2*f + 2. Let b(o) = 2*s(o) + 9*w(o). Determine v(b(u)).\nAnswer: 22*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 29\/2 of a tonne in kilograms?\nAnswer: 14500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1260 a factor of 31299529?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = 5056127*g**2. Let p(z) = -3*z. Determine p(u(j)).\nAnswer: -15168381*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 2091 a factor of 1179346851?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*q - 162857 - 462292 = 0. Is q composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -72279*a = -72198*a - 2025 for a.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = 3*a**2 + 4*a - 2. Let x be t(-4). Let k = x + -9. What is the units digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -62001*p - 248369. What is u(-4)?\nAnswer: -365","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 361 is divided by 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in twenty-five halves of a century?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 2344311 greater than or equal to 2344309?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = 4*l**2 - 3*l + 3. Let j be s(4). Which is bigger: j or 53?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -12 in -1\/3, 1\/5, 19?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3\/11*a**3 - 1\/11*a**2 + 0 + 2\/11*a.\nAnswer: -a*(a + 1)*(3*a - 2)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 + 246343385412.4\nAnswer: 246343385410.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = a**3 + 32*a**2 + 5*a + 168. Let f be i(-32). Solve -3*t + 14 = -3*z + 2, -5*t + f = z for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-c**2 + 4*c**2 - 4*c**2)*(3*c**3 + 4*c**3 - 5*c**3) + 13*c**2 + 6*c**5 - 8*c**5 + 12*c - 11*c**2.\nAnswer: -4*c**5 + 2*c**2 + 12*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = 2*j**3 - j**2 + 3*j - 2. Let f be l(1). Let x be f\/10 - (-7)\/(-35). What is d in -2\/11*d**3 + 0*d - 4\/11*d**2 + x = 0?\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -25.01 - -0.11. Let u = -25.12 + 0.12. Let t = u - p. Which is smaller: t or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:26 PM and 1:05 AM?\nAnswer: 279","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rszbsili. Give prob of sequence isli.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) be the first derivative of -3*x**4\/11 + 50*x**3\/11 - 156*x**2\/11 + 120*x\/11 - 63. Suppose l(c) = 0. Calculate c.\nAnswer: 1\/2, 2, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 317*l - 2*t + 64 = -6*t, 6*l + 7*t - 23*t = l - 15*t + 16 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3, 16, 51, 102, 169, 252, 351?\nAnswer: 466","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -20589.977 rounded to the nearest 100?\nAnswer: -20600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 247493.\nAnswer: 37, 6689","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -530.97312 - -531. Let y = -224.27312 - k. Round y to the nearest 10.\nAnswer: -220","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1424 = -42*r + 38*r. Let b = -230 + r. Let q be 11916\/b - 6\/(-14). Round q to the nearest 10.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = 5*w**2 + 3*w + 3. Let f(h) = h**3 - 2*h**2 - 3*h - 2. Let a be f(3). What is the units digit of t(a)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 2, f: 4, h: 1, x: 1, p: 1}. What is prob of sequence fx?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**(-5)*n**(-1)*n**4*(n*n\/(n\/(n\/(n**(-3)*n))))\/n*n*(n**(1\/2)\/n**(1\/4))\/(((n*(n*((n\/n**(2\/9))\/n*n)\/n)\/n*n*n)\/n)\/(n*n**(-1\/3))) assuming n is positive.\nAnswer: n**(41\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 29779 to the nearest integer?\nAnswer: 173","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -1*-2894.1\nAnswer: 2894.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is o in 2*o**4\/3 - 102*o**3 - 27092*o**2\/3 - 8928*o = 0?\nAnswer: -62, -1, 0, 216","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i = -5*m + 26, -1 = m + i - 5. Let v be 32\/6 - 1\/3. Solve -v*y + m = -20 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1423384 (base 9) to base 6\nAnswer: 24442121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 + 90\/(-189)*10 - 1\/(-3)?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -s = -4*n - 11, -27*s - n + 13 = -22*s for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31*q = 301133 + 2152207. Suppose -36*w + 24*w = -q. Is w a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -50537*v**2 - 50538*v**2 + 151606*v**2 - 50533*v**2.\nAnswer: -2*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -5*d - 2*d**2 - 8*d**2 - 6 + 18*d**2. Let f be k(3). Let r(j) = 46*j**2 - 3*j - f*j**2 + 3*j. Let t(z) = 2*z**2. Determine t(r(c)).\nAnswer: 50*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s = -10, -2*s + 35 = -4*v - 3. Suppose 7 = 3*u + 28. Let p = u - v. Solve 0 = -2*y - p*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2.3 + -2.3025. Round n to 3 dps.\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 85731 - 57321. What are the prime factors of m?\nAnswer: 2, 3, 5, 947","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*l**1)**(-14)\/(l*l\/(l\/((l*(l\/l**(-1\/2))\/l)\/l)))**18 assuming l is positive.\nAnswer: l**(-55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 161795*h**2 + 162226*h**2 - 324031*h**2.\nAnswer: -10*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = 2*o**2 - 5*o + 6. Calculate the remainder when 16 is divided by a(3).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = 3*m + 2. Suppose -5*j = 5*n, -j = m*j + n - 3. Let h be ((-2)\/(-15))\/(j\/3). Which is smaller: h or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7.752 rounded to zero decimal places?\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -d, 20*l = 21*l + 3*d + 4 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 9\/124540 and -133\/24440.\nAnswer: 11706760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 49277287.\nAnswer: 49277287","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 235 - 15031 = -1233*y for y.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -5 + 27\/3 + -4. Suppose l*u - 1270 = -5*u. Is u a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = 3*y**2 + 2*y - 5. Let k be (85\/(-10))\/(1\/2). Let i = k - -20. Let d = -6 + 1. Let r(m) = 2*m**2 + m - 3. What is d*r(t) + i*o(t)?\nAnswer: -t**2 + t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2*(-6)\/(-4)*(-637)\/((-30705948)\/(-312))?\nAnswer: -2\/103","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b - 9 = -3*v + 12, -60 = -5*b - 5*v. Let i(j) = j - 12. Let h be i(b). Solve w - 5 = -h for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f and 2 u when three letters picked without replacement from {u: 6, f: 7}.\nAnswer: 105\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -54 - (6\/4 - (-50)\/(-20)). Let d(w) = -3*w**2 + 4*w + 4. Let p be d(5). Is p at least s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 5\/(30\/4)*15\/(-2). Let h(x) = 2*x + 6. Let w(q) = 2*q + 5. Let f(o) = i*h(o) + 6*w(o). Give f(-5).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 88669 divided by -34.\nAnswer: -88669\/34","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 210105 and 5355.\nAnswer: 315","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:31 AM and 8:26 PM?\nAnswer: 535","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 477533 is divided by 3411?\nAnswer: 3404","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 5 - -4. Let g = k + -7. Suppose c + 1 = 0, -2*t - t + 4*c + 10 = 0. Solve -t*i + g = 4*l, -i + 1 = 3*l - 5*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/(a**(-3)*a))\/a**21*((a*a*a**4)\/a)**(-22) assuming a is positive.\nAnswer: a**(-128)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-2)\/(-6))\/((-1)\/171*-3). Solve 19 = j*m - 0*m for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 67 divide 1089?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 0.2341311 kilograms?\nAnswer: 234131100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 23*y**3*z**2 + 2*y**3*z - 12*y**2*z**2 - 2*y*z**2 - 11718*y*z + 11*y - 1426*z**2 wrt z.\nAnswer: 46*y**3 - 24*y**2 - 4*y - 2852","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -7 (base 13) to base 8.\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 5114 + -4052500?\nAnswer: -4043342","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000193235 rounded to seven decimal places?\nAnswer: 0.0000019","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 13833, 4, -2, 7, -9 in descending order.\nAnswer: 13833, 7, 4, -2, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 7311.33mg in kilograms?\nAnswer: 0.00731133","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*p\/((p\/p**(-2))\/p))\/(p\/(p**0*p))*p**3\/p**7*((p\/p**(2\/9))**(-49))**(9\/4) assuming p is positive.\nAnswer: p**(-359\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 20222222101 (base 3) in base 12?\nAnswer: 67884","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 820 a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -1259, -1357, -1519, -1745, -2035?\n\"Answer: -32*r**2 - 2*r - 1225","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1498126675?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-10)\/(-15))\/(4\/18). Suppose 31 = n + 4*w, 3*n + r*w = 41 + 16. Round n to zero dps.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 4 and 1.05878746.\nAnswer: 5.05878746","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l - 10 = 3*z - 24, -22 = -4*z + 2*l. Let a be -1 + 0 + z + 40. Let u = a + -7. Is u composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y - 5460 = -3*z, 3*z + 354 = 4*y + 5835. List the prime factors of z\/7 - 48\/(-84).\nAnswer: 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**(-3\/4)*o**5)\/(((o*o**(-5))\/o)\/(o*o**4\/o)))\/((o**(-1))**(-2\/19)\/(o\/(o\/o**(-1))*o)**(-26)) assuming o is positive.\nAnswer: o**(999\/76)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 55978.53km to meters.\nAnswer: 55978530","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -6170, -25023, -56436, -100403, -156918?\nAnswer: -225975","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -156 + -43 + 55 - (-4 - 43)?\nAnswer: -97","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1795*x**5 + 687*x wrt x?\nAnswer: 35900*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -5*v**2 - 2*v - 2. Let b(c) = -21*c**2 - 9*c - 9. Let q(l) = -2*b(l) + 9*k(l). Let w(h) = -38*h. Give q(w(s)).\nAnswer: -4332*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) be the first derivative of a**2\/2 + 7*a - 1. Let g be d(-7). Suppose g = b - 2*h - 32, h - 2*h - 33 = -b. What are the prime factors of b?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((j*j**(-1\/3)*j)\/j)\/j)**(9\/8)\/(j**(-8)\/j**(-1\/7)) assuming j is positive.\nAnswer: j**(419\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 6 + -125?\nAnswer: -118","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*n**3 - 2520*n + 2520*n.\nAnswer: -2*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 22025784 to the power of 1\/10, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.1, -769, 1.56?\nAnswer: 1.56","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -29, 6\/7, -18797 in decreasing order.\nAnswer: 6\/7, -5, -29, -18797","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.098 - -4.138. Let k = o + -0.04. Which is the closest to -1? (a) k (b) 2\/19 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00245701658 to 6 dps.\nAnswer: 0.002457","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = q**3 + 20*q**2 + 10*q + 38. Is 19 a factor of r(-19)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 418.1998+-1\nAnswer: 417.1998","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 not equal to 14\/19?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + 23 = -19. Suppose 4*u + i = 2*n, -u - u = -2*n + 10. Let k(w) = 14 - n*w + 2*w + 2*w. Determine k(-6).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 97 minutes before 8:17 PM?\nAnswer: 6:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -1.12 * -0.06\nAnswer: 0.0672","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -781929, -1563869, -2345815, -3127767?\nAnswer: -3909725","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) be the first derivative of -7 + 13*a + 1\/3*a**3 + 0*a**2. Is c(-6) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = z**3 + z**2 - 2*z - 7. Let k be b(2). Let j(x) = -94*x**2 + 3*x - 2. Give j(k).\nAnswer: -93","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 7803 and 27.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 58 a factor of 3494?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -x**3 + 8*x**2 + 26*x - 67. Let v be z(10). Which is greater: v or -20\/3?\nAnswer: -20\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a = 4*x - 12154, 2551 = 4*a + 3*x + 26870. What is a rounded to the nearest 1000?\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:39 PM and 4:19 AM?\nAnswer: 700","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 76 and 2926.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = 4 - m + 7*m - 8. What are the prime factors of t(6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -2*r**3 + 3*r**2 + 21. Let k(f) = -f**3 + f**2 + 10. Let h(s) = 7*k(s) - 3*l(s). Is 33 a factor of h(-5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 586 - 283. Let t be 52\/208 - 1\/4*-39. Let s = n - t. Is s a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 128 and 96?\nAnswer: 384","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -29*g - 70. Let h(v) = 13*v + 32. Let b(f) = -13*h(f) - 6*w(f). Let x(u) = 14*u + 11. Calculate 8*b(k) - 3*x(k).\nAnswer: -2*k - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f = -i - f - 4, -2*i + f + 7 = 0. Let m be 1*6\/(-21) - (-4)\/14. Solve -3*d - i*d - 15 = m for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -81\/10 and 131\/606.\nAnswer: 3030","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1276*w = 1223*w + 901. Solve -12*b = 3*g - w*b - 10, 5*b + 30 = -g for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -129996+0.2\nAnswer: -129995.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 4\/(-10) + 24\/10. Let h(c) = -5*c**t + 0*c**2 + 4*c**2. Let g(z) = z**2. Let x(q) = -2*q**2. Let a(j) = 4*g(j) + 3*x(j). Determine h(a(v)).\nAnswer: -4*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*j**3 + j - j + (-1170 - 32*j + 1170)*(0 + 1 + 2)*(-5*j**2 + j**2 + 3*j**2) as n*j + c*j**3 + v*j**2 + g and give c.\nAnswer: 98","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 15434773 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) be the second derivative of r**7\/2310 + r**6\/660 - r**5\/220 - 13*r**2\/2 + 7*r. Let o(x) be the first derivative of k(x). Factor o(c).\nAnswer: c**2*(c - 1)*(c + 3)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) be the second derivative of 2*d**4\/3 + 490*d. Let j(h) = 204*h**2. Determine j(v(x)).\nAnswer: 13056*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2 times 0.992?\nAnswer: -0.1984","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 2320?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = d**2 + 3*d + 10. Let l(f) = f**3 - 1. Let s(c) = 6*c**3 + 13*c**2 - c - 11. Let t(r) = 5*l(r) - s(r). Let j be t(-13). Is 13 a factor of i(j)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 5.3 - 0.3. Let s be 6\/(-4)*(1 + 35\/(-15)). Which is the smallest value? (a) 0.2 (b) s (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -4 - 105277?\nAnswer: -105303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-1)\/(-4) + ((-227)\/44 - -5). Which is the nearest to -1? (a) -0.4 (b) -1\/4 (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 24 and 3547648?\nAnswer: 10642944","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 23389295 divided by -3?\nAnswer: -23389295\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 249456 to the power of 1\/2, to the nearest integer?\nAnswer: 499","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 - (-6 - (-3 - (2 + 5 - 0))).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -85995 = -2461*f + 668*f - 118269 for f.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(77)*2 + sqrt(77) - sqrt(77)*1*1)\/((sqrt(63) + sqrt(567)*1 - sqrt(63)) + (1*sqrt(693))\/sqrt(11)).\nAnswer: -sqrt(11)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = s**2. Let p(x) = -1115*x**2 + 35*x - 70. Let i(y) = -93*y**2 + 3*y - 6. Let j(u) = -35*i(u) + 3*p(u). Determine t(j(a)).\nAnswer: 8100*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o - 5*u + 30 = 0, 0 = -o - 3*u - 0*u + 11. Solve 9*i = 4*i + 4*w + o, -5*i - 2*w = 25 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -2*j**3 + 7*j**2 + 6*j - 11. Let p = 198 + -194. Let v be y(p). Sort 5, v, 19, 2 in decreasing order.\nAnswer: 19, 5, 2, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1101010000 - 111011000001?\nAnswer: -1001000010001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-8)\/(-42))\/(2060\/3090)?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 29, -4\/5, 1, -1\/4, 0 in decreasing order.\nAnswer: 29, 4, 1, 0, -1\/4, -4\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1 + -8 + 7 - (-3)\/(-22). Sort g, -2\/3, 5, -2\/17 in ascending order.\nAnswer: -2\/3, g, -2\/17, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s + 6*n = 4*n - 15, -4*s = -n - 9. Suppose 0 = -3*b + 7 - s. Which is smaller: 1 or b?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2.47 - 0.03. Let p = o - -0.5. Which is the smallest value? (a) p (b) -2\/5 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine d, given that -d**5\/8 + 43*d**4\/8 + 1063*d**3\/8 - 2491*d**2\/8 - 2727*d\/4 + 855 = 0.\nAnswer: -19, -2, 1, 3, 60","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -29*j**2 - 392*j + 10. Let k(v) = -82*v**2 - 1176*v + 28. Determine -17*c(o) + 6*k(o).\nAnswer: o**2 - 392*o - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:15 PM and 7:50 PM?\nAnswer: 155","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -29628 + 61488. List the prime factors of c.\nAnswer: 2, 3, 5, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*l + 115205 = 115465 for l.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*y + 11*y = 192. Suppose x - 24 = i - 0*i, -2*x - 120 = 4*i. Calculate the remainder when y is divided by (-144)\/(-14) - i\/(-98).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -9058 - -9063. Solve -1 - 24 = w*d + 5*c, 0 = 3*d + 2*c + 15 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 728 and 29064.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in 13, -13, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.4 and -92606.\nAnswer: 37042.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*p - 16*p + 14*p - 18*p.\nAnswer: -32*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4467?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*a - 25*a - 16*a)*(-11 + 5 - 2)*(-2 - 4 + 5) in the form h*a + z and give h.\nAnswer: -304","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 6 + -4. Let m(h) = -h - 2*h + 3*h - h**c. Let u(x) = -4*x**2. Calculate u(m(l)).\nAnswer: -4*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 9935983 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 336610 to the power of 1\/3, to the nearest integer?\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 2915 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -102 + 105. Let r(y) be the second derivative of -4\/3*y**v + 7*y + 3*y**2 + 0. Let g(x) = -9*x + 7. Determine -6*g(c) + 7*r(c).\nAnswer: -2*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-10)\/12*56\/(-140)*-1.\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 2 divided by 93\nAnswer: 2\/93","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 291 is divided by 59?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/3 in 3, -6\/17, -1\/6, 7\/2, 55?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -a**3 + 10*a**2 - 11*a + 10. Suppose -v - 610 = -619. Determine k(v).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h**4 - 54568*h**3 - 710830860*h**2 + 926402216000*h - 1849960672000 = 0. Calculate h.\nAnswer: -27880, 2, 1190","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10587?\nAnswer: 3, 3529","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 1, l: 1, f: 1, m: 1, e: 1}. Give prob of sequence jlef.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 66 - 445*y + 158 + 888*y - 423*y to h + s*y and give s.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.1872 - 0.3872. Which is smaller: j or 17.7?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 25.43231cm?\nAnswer: 254323100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n - n = 0. Suppose c - 10 - 7 = n. What is the units digit of c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1283456 is divided by 454.\nAnswer: 452","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 211381115?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 596328 bigger than 596329?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 0.5 * 155171.6\nAnswer: 77585.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = 2*w**2 - 3*w**2 - 5*w**3 + 4*w**3 + 1. What is the units digit of o(-2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*l**4\/13 + 790*l**3\/13 + 81474*l**2\/13 + 681290*l\/13 + 1042972\/13 = 0.\nAnswer: -193, -7, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 441680 divided by 16\nAnswer: 27605","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -62 + 21 + 27 - ((3 - 1) + -2)\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -13*c. Let j(u) = 4*u**2 + 2*u. Suppose 5*g + 10 = -0*g. Let x(k) = 3*k**2 + 2*k**2 + 0*k**2 + 3*k. Let t(o) = g*x(o) + 3*j(o). Determine p(t(y)).\nAnswer: -26*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 195 + 123 - 252 = -33*k for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 4, 2\/12115, 0.4, -0.162?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -66 + 1055\/16. Let n = -8718 - -4190. Let r = 36171\/8 + n. What is the common denominator of j and r?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-314)\/(-7)*(16 - 9). Suppose -4*a = -4*f - 672, -3*f - c = -4*a + 194. Let p = f + 248. What is the tens digit of p?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -11*h**2. Let f be 2\/(-12) - (-57)\/18. Suppose u + 2 = 2*t, -7 = -f*t - 2*u + 3. Let z(r) = -t*r + 338 - 338. Determine z(n(l)).\nAnswer: 22*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -217, 75, 869, 2159, 3939, 6203?\n\"Answer: -j**3 + 257*j**2 - 472*j - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = 8*w**2 + 87*w - 7. Let k be s(-11). Let x(f) = 252*f - 37. List the prime factors of x(k).\nAnswer: 971","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (sqrt(26)\/(sqrt(144)\/sqrt(8)))**2 - (4 + sqrt(832)*2)*-6.\nAnswer: 238\/9 + 96*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 83 is divided by 16.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) be the third derivative of 0*r**3 + 0*r**4 + 1\/1470*r**7 - 1\/420*r**5 + 0 - 1\/2352*r**8 + 7*r**2 + 1\/840*r**6 + 0*r. Factor m(x).\nAnswer: -x**2*(x - 1)**2*(x + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -17*a**2 + 11*a - 44. Let q(u) = 17*u**2 - 13*u + 44. What is 6*i(j) + 5*q(j)?\nAnswer: -17*j**2 + j - 44","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) be the second derivative of -n**6\/360 - n**5\/20 - n**4\/8 + 7*n**3\/2 + 18*n. Let a(k) be the second derivative of p(k). Calculate a(-6).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23357 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 450\/((-414)\/(-23)) - (-27)\/3.\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00700926 to 4 dps.\nAnswer: 0.007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g - 2*i + 22 = 0, 5*i = -4*g + 15 + 36. Let o be ((-3)\/(-6))\/(4\/10). What is the second biggest value in -6, g, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 63 = 2*u + u - g, 5*g = -4*u + 103. Let c(a) = a**2 - 13*a + 33. Is 33 a factor of c(u)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*f**4*r + 25*f**2*r + f*r + 2*f - 15 wrt f.\nAnswer: 24*f**2*r + 50*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -3, 83 in increasing order.\nAnswer: -3, -2, 83","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a + 12 = -12. Let x(u) = 5*u + 0*u - a*u - 3*u. Let z(f) = -f**2. Determine z(x(g)).\nAnswer: -16*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -407*u + 18 = -398*u for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 5\/2*-2 - 1. Let u(y) = y**2 - 3*y - 7. Is u(c) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = 10*i**2 - 12*i + 67. Let c be y(10). Let o = 1516 - c. Does 7 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 15378488*a**2*f*k + a**2*f + 3*a**2 - 3*a*f + a + 4891*f - 22 with respect to k.\nAnswer: 15378488*a**2*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/8 of a hour in seconds?\nAnswer: 2250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 70031 and 117.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 479 is divided by 134?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 69, 302, 699, 1266, 2009?\nAnswer: 2934","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 624 and 310416.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in 0.8, 5\/4, 0.65, -1\/11?\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.8 - 0.9. Which is the nearest to 2? (a) 5 (b) v (c) 2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -168873.663 - -8.9?\nAnswer: -168864.763","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -7*k**3 - 12*k**2 + 23*k + 25. Let f(y) = -3*y**3 - 6*y**2 + 11*y + 12. Let w(n) = 5*f(n) - 2*p(n). Let c be w(-7). Which is smaller: c or -2?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 212 - 893. Let n = r + 686.93. What is n rounded to one dp?\nAnswer: 5.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) be the second derivative of 7*o**4\/12 + o. Let n(z) = 440*z**2 - 150*z**2 - 142*z**2 - 147*z**2. Calculate n(u(i)).\nAnswer: 49*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = 11*w**2 - 75*w - 95. Calculate the remainder when 508 is divided by n(8).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1110010111011100 (base 2) to base 9\nAnswer: 88642","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -31, 0, 17, 3 in increasing order.\nAnswer: -31, -3, 0, 3, 17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -3*n**4 - 7*n**2 + n. Let v(a) = 51*a**4 + 9*a**3 + 159*a**2 - 27*a - 30. Let p(c) = 18*o(c) + v(c). Solve p(x) = 0 for x.\nAnswer: -2, -1, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*b**2 + 6250*b - 1953125.\nAnswer: -5*(b - 625)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -3, 2\/401, -4\/33, 5?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vf when two letters picked without replacement from vfpfppfpvfpvp.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 37 and (-1)\/3 + (-48)\/(-36)?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -17 + 20. Let w(l) = 3*l**2 - l + 1. Let j be (-1 - (-4)\/2)\/1. Let t be w(j). Is t != f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*p = 35*p - 88925. Is p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 9, -1, 4 in ascending order.\nAnswer: -1, 4, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s + s = 5*s. Suppose 2*d + n + 3452 = 5*d, 3*d + 3*n - 3456 = s. Is d a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 245, 477, 709, 941, 1173?\n\"Answer: 232*s + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -1*(-3)\/((-3)\/7). Let x = k + 10. Suppose -4*u - 4*b + 52 = 0, -x*u + 2*b = 6*b - 37. What is the greatest common divisor of u and 45?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -177 - -222. Solve 49 = -y + p for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 81027, -0.39, 2?\nAnswer: -0.39","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j - j = -5. Let h(x) = -x. What is the units digit of h(j)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 22.21 - -4.79. Let c = 0.0386 + -27.6686. Let g = c + o. Round g to 1 decimal place.\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -14 (base 13) to base 11.\nAnswer: -16","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -c*k*q**3 - 44473050*c*q**3 - 655*k*q**3 + 212495*k*q**2 + q**3 wrt c?\nAnswer: -k*q**3 - 44473050*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 152 = 106*c - 98 - 68. Solve 2*b + 1 = -c, -2*p = -2*b for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2 and 492.\nAnswer: 492","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is (-40)\/(-35) + 1821195\/63 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 3 + -2.9. What is the closest to -1 in -3, b, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) be the second derivative of -8*f + 0*f**2 + 0 - 5\/6*f**3. Let j(n) = -10*n. Determine j(k(l)).\nAnswer: 50*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 39\/((-700245)\/(-126))*-3*1?\nAnswer: -2\/95","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((6\/70)\/(1881\/2508))\/((-2)\/(-5)).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3\/5? (a) -6\/11 (b) -0.1 (c) 58752 (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 j when three letters picked without replacement from {j: 3, t: 12}?\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -2*c**2 + 12*c + 19. Let p(v) = -v**2 + 6*v + 10. Let r(t) = -6*f(t) + 11*p(t). What is r(3)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = m - 3. Let r be g(4). Let n = 5.4 - 7.4. Which is smaller: n or r?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 321, -3, 0, -2, -1.\nAnswer: -3, -2, -1, 0, 321","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 14797*f**3 + 0 - 14217*f**3)*(-6*f**2 + 3*f**2 + 4*f**2).\nAnswer: 580*f**5 - 2*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 37030998 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 101111001000101001 - -1?\nAnswer: 101111001000101010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1, 1\/2, 0.04106836?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22*w = -2*y - 18*w + 37*w + 1, w + 33 = 6*y for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 26*1*(15 - 16). Which is the smallest value? (a) l (b) 3 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 20 and 380?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -8*h**2 + 40*h + 6*h**3 - 7 - 38*h - 6 + 2. Is w(4) a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*h - 4*h + 3*h)*((0 - 6*h**2 + 0)*(13 - 27 + 21) + 14 - 8*h**2 - 14)*(2 - 1 + 1)*(-2 - 1 + 7) as a*h**2 + d + q*h + u*h**3 and give u.\nAnswer: 400","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22 = -59*d + 81 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = 5*u + 6. Let s be 66\/3 + (0 - -2). Let g be -1*u + 30\/s. Does -1 = g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 48257808?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -324, -3 in descending order.\nAnswer: 0, -3, -324","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = 9*p**3 - 2*p - 12*p**3 + 2*p**3 + 20 + 9*p**2. Let w be g(9). Suppose 165 = 5*t + s, -w*t = -t + 2*s - 24. What is the units digit of t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.1 (b) -1\/15 (c) 1 (d) -1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 11592 and 43037784?\nAnswer: 301264488","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 445827 is divided by 10?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 23559419 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (4\/16)\/((-72)\/(-192))?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 62160521 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -4.06 + 0.06. Let d be 342\/81 - (1 + (-7)\/9). What is the nearest to 2\/7 in 2, d, k?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve o + 3*b - 14 = -b, 4*o = -b + 11 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (4\/6)\/(40\/(-120)*7\/1)?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 355 = 41*o + 396 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = 7*i**2 + 16*i**2 - 80*i**2 + 2*i**2. Let v(d) = -28*d**2. Give 2*q(w) - 5*v(w).\nAnswer: 30*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 182528 divided by 368\nAnswer: 496","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 30 + -46 + -5 + 52\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -913 + 1508. What is the highest common divisor of 35 and k?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zlllzlllllz. Give prob of sequence ll.\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -20 + 8 + (255\/(-25) - -11)\/(7\/35)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is a in 3*a**5 + 36*a**4 - 30*a**3 - 360*a**2 + 27*a + 324 = 0?\nAnswer: -12, -3, -1, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*l**4 + 2*l**2 - 23*l**3 - 10*l + 10*l**3 + 12*l**3 in the form j + z*l**4 + c*l**3 + d*l**2 + v*l and give z.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*n = 234 + 54. Suppose -n = -0*p - p. Let f = p + -41. Which is smaller: f or -2?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -145*f - 242*f = -3460 + 11200 for f.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 14000?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*w + 422 - 2470 = 109*w + 591 for w.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 145992171.98008 - 676.98008. Let l = f - 145991391.0000302. Let v = 104 - l. What is v rounded to 6 decimal places?\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 150*w**2 + 163*w**2 + 8*w + 91*w**2 + 70*w**2 - 321*w**2 - 3772*w**4 wrt w?\nAnswer: -90528*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h = h + 144. Let d = h - -475. Is d a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -14 - ((-37 - -9) + 57)?\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 20250 and 83268.\nAnswer: 162","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 299, 541, 783, 1025, 1267?\nAnswer: 1509","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from laklafkkall. Give prob of picking 1 f, 2 a, and 1 l.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -172\/15 - -1393\/60. Let c = 227\/20 - l. Let j = -4 - -3.9. What is the second smallest value in c, -1, j?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:38 PM and 7:31 PM?\nAnswer: 53","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t**3\/15 - 76*t**2\/5 - 142*t - 1040\/3 = 0. Calculate t.\nAnswer: -104, -5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 414 minutes after 11:08 PM?\nAnswer: 6:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 215*y - 10300 - 1525 for y.\nAnswer: 55","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 20992?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 63732696 and 5691?\nAnswer: 813","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 305443 and 1837.\nAnswer: 167","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4542000.\nAnswer: 2, 3, 5, 757","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -c - 11. Let p = 549 - 551. Let r(x) = 5*x - 2*x**2 - 3 + 15 + x**2 + x**3 + 2. Let b be r(p). Determine v(b).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -527 - -522 - (-49 + -2)\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 262.2 - 264. Put 0.3, n, -2\/17 in decreasing order.\nAnswer: 0.3, -2\/17, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -g**3 - 6*g**2 + 3. Let l(n) = n**3 + 69 - 2*n**3 - 68 - n**2. Give 6*l(a) - t(a).\nAnswer: -5*a**3 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 483440 rounded to the nearest ten thousand?\nAnswer: 480000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -6, 3, -3.\nAnswer: -6, -4, -3, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -304 - -304.1. Put 4, q, -8 in decreasing order.\nAnswer: 4, q, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*i - 3 + 3)*(46 + 27 - 29) - 4*i - i - 3*i + 2*i - 7*i + 4*i - 4*i + 4*i - 2*i - i + 2*i - 3*i - 1 + i + 1 + (1 + i - 1)*(0 - 3 + 1) + 1 - 1 + 2*i.\nAnswer: 120*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 256150?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -8ab3b - 5?\nAnswer: -8ab43","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 257 = b + 259. List the prime factors of (1122\/68)\/(b\/(-4)).\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8957.9 rounded to the nearest one hundred?\nAnswer: 9000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(7260))\/((sqrt(12) - ((3*sqrt(96) - sqrt(96))\/sqrt(8) + sqrt(12))) + sqrt(12)).\nAnswer: 22*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -11*x + 9. Let f(r) = 10*r - 8. Let g(j) = 7*f(j) + 6*h(j). Let l be g(1). Suppose -l*n = 4*u, 4*u + 12 = n + 2*u. Solve 4*q - q = -n for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/g**(2\/7)*g**(-2))\/((g**(-2)\/g)\/g**(-2)) assuming g is positive.\nAnswer: g**(-2\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/(-5)*(70\/7)\/2.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (2\/5)\/1*(36 + -1) is divided by 8?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1650642221 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 13\/5 of a centimeter?\nAnswer: 26000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1998, 3985, 5974, 7965?\nAnswer: 9958","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -244034122 to the nearest ten thousand.\nAnswer: -244030000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = 3*r**2 - r. Suppose -5*y = -3*i - 13, -2*i + 5 - 3 = 2*y. Let v(t) = -t**2 - t - 1. What is i*v(n) - j(n)?\nAnswer: -2*n**2 + 2*n + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1782.27 + -1802. Let t = -19.729999073 - n. What is t rounded to seven dps?\nAnswer: 0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 11596244\/(-572) - (-3 + (-10)\/65 - -3). Round x to the nearest one hundred.\nAnswer: -20300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 1977*c**2 + 5149*c - 22710390.\nAnswer: 3954*c + 5149","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4.192553 litres to millilitres.\nAnswer: 4192.553","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*n**4 + 0*n**4 + n**4 + ((711*n - 130*n - 48*n)*(-2*n + 0 + 0) + 2*n**2 - 2*n**2 + n**2)*(-1 + 1 + n**2).\nAnswer: -1064*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) be the third derivative of 13*r**5\/10 + r**4\/6 - 2*r**3\/3 - 22*r**2. Let q be s(1). What is the highest common divisor of 13 and q?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -34, -55, -96, -163, -262, -399?\nAnswer: -580","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2 - 4 - (0 + 3 + -10). Solve -3 = -4*d + v for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-169*(-68)\/22984)\/(1\/(-44)*2).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wvvw. Give prob of picking 2 v.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -100642, -201661, -302656, -403615, -504526, -605377?\n\"Answer: 2*x**3 - 101033*x + 389","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 13353.3 to the nearest 1000.\nAnswer: 13000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c - 5*r = -6*c + 9, -2*r + 6 = 0. Suppose 197 = 5*l + 2*m + 2*m, -3*m - c = 0. What is the tens digit of l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 72 a factor of 3672?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -0.1, -0.3, 5\/2, -23, -0.4?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 256146 and 12?\nAnswer: 512292","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3557.\nAnswer: 3557","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 58265 or 58266?\nAnswer: 58266","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*m - 8*m = 0. Solve -3*d + 0*d = -2*r - 5, 5*r + 20 = m for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-71)\/(-710)*(-1 - (-2)\/1). Let k(j) = -j. Let t be k(-3). Which is the nearest to 1? (a) 1 (b) o (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -6*f**2. Let k be 3 - 0 - 0\/(-2). Let c(i) = k*i + i - 2*i + 0*i. What is c(s(y))?\nAnswer: -12*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 + r**2)*(3*r**2 + 0*r**2 - r**2) + 4*r**4 - 2*r**4 + 18*r**2 - 21*r**2 + 9*r**4 - 32*r**2 + 32*r**2.\nAnswer: 13*r**4 - 3*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = v + 5*j + 23, 2*v - j - 1 = 8. Let x be 29\/9 + 4\/(-18). Find the third derivative of -v*k**x + 3*k**3 + 2*k**2 + 0*k**2 wrt k.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = a - 2. Let f(o) = o**2 - 3*o + 6. Let g(b) = f(b) + 3*n(b). Let s(j) be the third derivative of -47*j**4\/24 - 26*j**2. Give s(g(u)).\nAnswer: -47*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 8 or -3?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7687.\nAnswer: 7687","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6926901*48.\nAnswer: 332491248","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 387746958?\nAnswer: 2, 3, 64624493","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*b**2 + 28 + 40 - 68.\nAnswer: -7*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 1342992 to the power of 1\/2, to the nearest integer?\nAnswer: 1159","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -743 + 742.6. Suppose -g + 78 = g. Let l be g\/35 + 2\/(-5). Sort l, q, -0.5 in ascending order.\nAnswer: -0.5, q, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1\/(-2)*((-7 - 1) + 94). List the prime factors of (p - -45)\/((-1)\/(1874\/(-4))).\nAnswer: 937","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 3 + -2 + (3 - 4). Let w = -105 - -57. List the prime factors of (v - w) + -2 + 3.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) be the first derivative of 560*y**3\/3 + 3344. Let m(d) = 5*d. Determine m(q(g)).\nAnswer: 2800*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put 6\/11, 16, 0.4, -2, -0.22, 1\/3 in descending order.\nAnswer: 16, 6\/11, 0.4, 1\/3, -0.22, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -4*x - 55. What is a(-11)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -675633, -1351277, -2026929, -2702589, -3378257, -4053933, -4729617?\nAnswer: -5405309","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 times -25803?\nAnswer: 232227","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.05 * 32.5.\nAnswer: 1.625","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-138)\/(-2)*3\/9. Let u = w + -45\/2. What is the third biggest value in -1, -2\/7, u?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = 64*q**3 - 4*q**2 + 83*q + 169. Determine x(-2).\nAnswer: -525","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(sqrt(57)\/(sqrt(9)\/sqrt(3)) - sqrt(19))*5 + 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4126 is divided by 24?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 32 and (3*1)\/((-5)\/(-8 + -7)).\nAnswer: 288","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 540 is divided by 260.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9024.416 milliseconds to nanoseconds.\nAnswer: 9024416000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/7 in -45\/4, 1\/3, 8, -0.29, 0.5?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 32802 and 567?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -u**3 + 50*u**2 + 78*u + 107. Does 100 divide b(44)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -10.1 + 10. Which is bigger: a or -1\/3?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -13 - -4. Let t = 8.99999932 + m. Round t to seven decimal places.\nAnswer: -0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1078 and 63?\nAnswer: 9702","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j - 148 = 5*r, -j = -0*j + 4*r - 38. Is j + 0 - 2\/(-2) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.04 + -2.04. Suppose r + p = 2, 0 = -2*r - 7*p + 2*p + 7. Let h be (-33)\/(-228) + r\/(-4). Which is the smallest value? (a) h (b) -1\/10 (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -34 + 28.4. Let x = o + 5.599951. Round x to five decimal places.\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*p - 5*z - 27, 326*p + 4*z + 29 = 331*p for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sum 108 and 155130.81942.\nAnswer: 155238.81942","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -367*y - 1. Let d(u) = -2*u. Determine d(b(w)).\nAnswer: 734*w + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1.99 + -88.99. Let x = 87.0000043 + p. What is x rounded to 6 decimal places?\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 73455 and 9335?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.1 - -0.1. Let j be (-68)\/51*3\/(-2). What is the nearest to 0.1 in -3, b, j?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = 0 + 3 - 2 - 2. Suppose -4*i = -10*i - 18. Let t(j) = -4*j**2 + 3. Let h(s) = i*a(s) - t(s). Let r(l) = -3*l. Give h(r(b)).\nAnswer: 36*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 343 minutes after 12:45 AM?\nAnswer: 6:28 AM","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: Let m be (-6)\/9 - 4\/(-6). Suppose m = 7*g - g - 312. Let x = -30 - -34. What is the highest common divisor of g and x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -1 + 2141?\nAnswer: 2140","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -27 + 23. Let b = o + 8. Solve 2*l - 3*l - 11 = 4*m, 19 = b*l - 5*m for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 5872 and 3323552?\nAnswer: 3323552","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kbbybbmkkkkkdkkdb. Give prob of picking 1 y, 1 k, and 1 d.\nAnswer: 2\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 16.68163 millennia?\nAnswer: 1668.163","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -5*o + 4*o + 3*o + 24. Suppose -4*z + 39 = -5*l, 3*z - 11*l - 30 = -8*l. What is the units digit of k(z)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 9, g: 5}. What is prob of picking 2 g?\nAnswer: 10\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**10*q)**38 assuming q is positive.\nAnswer: q**418","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1, -0.2, 0.2, 44\/25?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 50*w**2 + 103*w**2 - 42*w**2.\nAnswer: 111*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 20 - 18. Let l(t) = t**3 + 3*t**2 - 2. Let v be l(-2). Let q(j) = -v*j**2 + 2*j**z - j**2. Let f(o) = 2*o**2. What is f(q(a))?\nAnswer: 2*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -78, -57, 72, 357, 846, 1587, 2628?\n\"Answer: 8*j**3 + 6*j**2 - 53*j - 39","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -185*r - 7. Let m(c) = -185*c - 5. Determine 2*d(u) - 3*m(u).\nAnswer: 185*u + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 16577144 (base 8) to base 10\nAnswer: 3866212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (21 - 30) + 2 + 9 + -3 + 23.\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:14 AM and 10:23 AM?\nAnswer: 69","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3\/10 + 9\/10. Let h = 3.97 - -0.03. Let x = h + -3. Which is the nearest to x? (a) 3 (b) 0.1 (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jpj when three letters picked without replacement from jjjjpjjpj.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*v**3 - 2*v**3 + 2*v**3 + (0 - v**2 + 0)*(-2*v - v + 4*v) - 3*v**3 + 2*v**3 + 6*v**3 + 0 + 0 - v**3 in the form r*v**2 + b*v**3 + s + z*v and give b.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 - ((0 - -2 - 4) + 1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*n**2\/3 - 177793*n\/3 - 5549828.\nAnswer: (n - 35652)*(5*n + 467)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4565 = -39*s + 4175 for s.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 e when two letters picked without replacement from {e: 5}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 0.435, 2, -0.4, -5, 28.4?\nAnswer: 0.435","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 11204905 and 52669?\nAnswer: 1699","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -w + 5. Suppose 0 = 5*z - 2*o - 75, 6*o = -2*z + 2*o + 30. Let n be (-85)\/z - 1\/3. What is the tens digit of h(n)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) be the third derivative of -v**5\/40 - v**4\/8 - 5*v**3\/6 - 4*v**2. Let b(c) be the first derivative of s(c). What is the first derivative of b(u) wrt u?\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + -9 + 4 + (-5 - -23).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -s - 10*p = -15*p - 24, -5*p - 21 = -4*s for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 164 + -69. Let y be 4\/(-14) - h\/35. Which is smaller: -11\/5 or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*k**4\/8 - 93*k**3\/4 - 252*k**2.\nAnswer: -3*k**2*(k + 14)*(k + 48)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*o - o - o)*(31 + 68 - 74)*(20 + 9 - 19).\nAnswer: -1250*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 21 (b) -1 (c) 3\/2 (d) 1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 292*l - 2587 + 2163 = 118*l + 8624 for l.\nAnswer: 52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17 = -3*z - x, 0 = -x - 8 + 13 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 9, 8, 13, 30, 65?\nAnswer: 124","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*k**2 + 4*k**2 - 2*k**2 - k**2 + 4*k**2 - k**2 + (k**2 + 2*k**2 - k**2)*(0 + 4 - 2) + 0*k**2 + 0*k**2 + 3*k**2 in the form h*k**2 + a*k + d and give h.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 208 and 32253?\nAnswer: 516048","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -73.8821 - -637.6711. Let f = h + -566.6. What is f rounded to 1 dp?\nAnswer: -2.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -3 + -540?\nAnswer: -543","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/4 in 2, 0.06, -1.4, -2\/7?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**9*j*j\/j**2*(j**(1\/3))**27)\/(j**(-11)\/j**(-12))**(-29) assuming j is positive.\nAnswer: j**47","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.04495932 - 356399?\nAnswer: -356399.04495932","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2258*y + 1101*y - 1770*y = 76102 for y.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -25064258.9 to the nearest one hundred thousand.\nAnswer: -25100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -2*o + 32. Suppose -5*n = -4*c + 51, -3*c - 6*n + n = -47. What are the prime factors of j(c)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d - 2 = 12. Is (-162)\/36*d\/(-3) a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -283 = -5*k - 53. Let d = k + -16. Calculate the greatest common factor of d and 12.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 29291 to the power of 1\/2, to the nearest integer?\nAnswer: 171","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 - (2 + -1 - (0 + 1) - 3).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 268 - 171. What is the remainder when x is divided by (2*33)\/(3\/(6\/4))?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -60 - (-94 - (56 - 87)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 112130322 (base 4) to base 16\nAnswer: 1673a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + k + 0)*(3*k**2 + k**2 - 10*k**2) - 12*k**3 + 24*k**3 - 10*k**3 + 2*k**3 + 1 - 1 + (-2 + 2*k + 2)*(2*k**2 - k**2 - 3*k**2).\nAnswer: -6*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-15)\/((-1)\/2*1). Let p be 189\/(-5) - 15\/75. Let i be p\/(-5) - (-12)\/w. Calculate the highest common factor of i and 40.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1853 bigger than -2191?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a microgram in nanograms?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h = 15, -24 + 1 = a + 3*h. Let x = 4.277 - 3.977. Sort x, -3\/4, 0.7, a.\nAnswer: a, -3\/4, x, 0.7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-4 + 5)\/((-2)\/(-18)) is divided by 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 29 - 17. What is the greatest common factor of 12 and w?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 14 - (9 + 111 + -36 + 17 - -12)\nAnswer: -99","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(35) - (sqrt(35) - sqrt(70)\/sqrt(2) - sqrt(35)))\/sqrt(7) - (-1 + (sqrt(20))**2).\nAnswer: -19 + 2*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 12080776319 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = s**2 - 2*s - 1. Let r be q(3). Suppose -r*d = 2*d. Is d != -3\/19?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -719\/25 - 176\/25. Let l = 1121\/20 + t. Find the common denominator of (-4 + (-4)\/4)*301\/(-210) and l.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 73 divided by 73?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.3 + -0.2. Let g be (0\/1)\/(5 + -1 - 3). Suppose g = -33*h + 32*h. Which is the second smallest value? (a) v (b) -2 (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.3571 to the nearest 10.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*o**2 + 3 - 3 + (8*o + 2*o + 0*o)*(-o + 3*o - 7*o).\nAnswer: -48*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in fifty-one eighths of a litre?\nAnswer: 6375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -5 (b) 3.1 (c) 0.4 (d) -4 (e) -8\/5 (f) -2 (g) 2\/31\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -84 - -56. What is the units digit of (-1 - h)\/3*1?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1716941?\nAnswer: 1716941","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:12 PM and 3:40 PM?\nAnswer: 88","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Total of -5.439302 and -5.\nAnswer: -10.439302","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -33*x - 11 + 62*x - 4 - 30*x. Determine i(6).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -56689 or -57991?\nAnswer: -56689","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4*c - 2*c - c)*(-5 + 3 + 3) + c + c - 4*c - 510 + 84*c + 510 - 2 + c + 2 to the form y + g*c and give g.\nAnswer: 84","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -129*j. Let w(l) = 62*l**2 - 4. Determine a(w(i)).\nAnswer: -7998*i**2 + 516","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = 2*f**3 + 3*f**2 + 2*f - 2. Let d(o) = 4*o**3 + 7*o**2 + 5*o - 4. Determine 2*d(g) - 5*l(g).\nAnswer: -2*g**3 - g**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f\/f**(-44)*f**38 assuming f is positive.\nAnswer: f**83","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 79733351 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1041.39 - -1041.389935101. What is w rounded to 5 decimal places?\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 8\/(-6)*468\/(-24)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 1\/20 of a litre?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:38 AM and 2:26 PM?\nAnswer: 588","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 595 minutes before 2:21 PM?\nAnswer: 4:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 29, 118, 267, 476, 745, 1074, 1463?\nAnswer: 1912","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -92472833 - 2942.09.\nAnswer: -92475775.09","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -w**3 - 20*w**2 - 22*w - 14. Let s be p(-21). Suppose 0 = 2*q - 893 + s. Find u such that 1\/3*u**q + 0 - 1\/3*u**3 + 0*u = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 31 + -31. Suppose 0 = -p*z - z + 3. Solve 2*u + z*i - 2 = 6*u, 0 = -2*u + 2*i - 2 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2228901 is divided by 445779.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -u**3 + 30*u**2 + 40*u - 21. Let v be q(31). What is the greatest common factor of v and 12?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 77 - 66. Let s = -0.173 - 0.027. Put l, -1, s in descending order.\nAnswer: l, s, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a - 2*a = -12. Let n be (1 + -7)*(-4)\/6. Suppose 0 + 7 = -u + 5*q, -2*q - 44 = -n*u. Solve -a*k - u = -1 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3243.7853 rounded to the nearest 100?\nAnswer: -3200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 9\/4 or -1420557?\nAnswer: -1420557","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: ((-10)\/4)\/(39\/(-78))\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -4 - -266bab?\nAnswer: 266ba7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 564, 855, 986, 951, 744, 359, -210?\nAnswer: -969","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.65, 448.9, 11.\nAnswer: 0.65, 11, 448.9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -6987.8437 rounded to the nearest 1000?\nAnswer: -7000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -22 - -27. Suppose -o*y - 12 = 18. What is the remainder when 11 is divided by (3 + -1)*(-21)\/y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 111, 0.1, 499\/6?\nAnswer: 499\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j = 3*j - 20. Suppose 2*u + 6 = u + j*z, -z - 1 = 2*u. Let a(d) = -2*d**2 + 1. Determine a(u).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = 6*o + 49. Give x(-9).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 112141003139 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4560750?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - 212 = -4*t, -5*v - 4*t + 828 = 274. Calculate the greatest common factor of 76 and v.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 570 is divided by 14?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 32 a factor of 988?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -141.9802716 rounded to 1 dp?\nAnswer: -142","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) be the first derivative of 4*w**3 + 1. Let k(a) = -a. Calculate k(d(i)).\nAnswer: -12*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -12\/17*f**2 + 2\/17*f**3 + 10\/17*f + 0.\nAnswer: 2*f*(f - 5)*(f - 1)\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -167 + 211. Let l = z + -44.4. What is the second biggest value in 0.1, -0.3, l, 15?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -20 (base 7) to base 15\nAnswer: -e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 436404082 to the power of 1\/5, to the nearest integer?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 33\/(-44) + 6\/8. Suppose 2*a = -r + 3*a + 60, -4*a = x. List the prime factors of r.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -b + 8. Let z be p(13). Let j(c) = -4*c + 2. Let g(n) = n. Determine z*g(h) - j(h).\nAnswer: -h - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -95 divided by 95\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.046, 12\/138587, -4, -2.\nAnswer: -4, -2, 12\/138587, 0.046","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.916 + 0.276. Let v = g - 69.36. What is the second smallest value in 5, v, -3\/2?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*a*a\/(a**(-10)\/a)*a)**(6\/19) assuming a is positive.\nAnswer: a**(90\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -15, -45, -87, -141?\nAnswer: -207","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 245 + -138. Suppose -98 = 3*y - d. Let a(g) = -5*g - 7. Let w be a(-7). Solve 0 = 4*f + y*l + w + 1, 19 = -5*f + 2*l for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 115502\/11 - 10500. Which is the closest to 0.6? (a) -104 (b) 0.4 (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-32)\/(-48)*1*3. Suppose n = l*n. Solve n*v = 2*v - 2 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*j - 15, j + 183 = 5*t - 35. Let y(o) = 33 + 12*o**2 - 7*o - o**3 - 80 + t. Let u be y(10). What is u rounded to the nearest 10?\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = 207*c - 6. Let r be m(6). Is 2\/6 + r\/18 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-16)\/(-56) + (-46)\/14. Are a and -10\/3 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + ((sqrt(60)\/sqrt(4) - sqrt(15))*1*3)\/((sqrt(720) - ((2*sqrt(720) + sqrt(720))*-3 + sqrt(720) - sqrt(720))) + sqrt(720)) + 3.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 2 + 0 + y)*(5*y + 12*y - y)*(-1 + 8 + 2).\nAnswer: 144*y**2 - 144*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 16 - 14. Suppose c + 3*k = -0*c + x, -3*k = 3*c - 24. Calculate the remainder when 36 + -15 + 0\/2 is divided by c.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -98, -81, -46, 13, 102, 227, 394?\nAnswer: 609","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = 5*y**2 - 6*y + 16. Let v(n) = -119*n**2 + 147*n - 385. Determine -2*v(k) - 49*w(k).\nAnswer: -7*k**2 - 14","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -4*h. Let y(s) be the second derivative of s**4\/12 + 21*s**2 + 2*s + 30. Give y(t(q)).\nAnswer: 16*q**2 + 42","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.23519122 rounded to 3 dps?\nAnswer: 4.235","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 39, -2, 1, 5\/6, -0.06, 4 in descending order.\nAnswer: 39, 4, 1, 5\/6, -0.06, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) be the first derivative of 3*n**4\/4 - 2*n**2 - n + 3495. Let l(d) = -2*d**3 + 3*d. What is 3*h(s) + 4*l(s)?\nAnswer: s**3 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 136 - 117. What is the remainder when c is divided by 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -127\/95310 and -133\/906?\nAnswer: 14391810","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -100132 + -22230?\nAnswer: -122412","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -7*t**2 - 134*t + 5. Let w(f) = 3*f**3 + 6*f**2 + 133*f - 4. Let z(q) = 4*s(q) + 5*w(q). What is the second derivative of z(j) wrt j?\nAnswer: 90*j + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*z - 3*r + 26, 12 = 2*z + 108*r - 107*r for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 2261 a multiple of 41?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 88, 109, 118, 109, 76?\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -99502, -97647, -95792, -93937, -92082?\nAnswer: -90227","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5479949884.\nAnswer: 2, 61, 22458811","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = c**3 + 2*c - 69. Let k be l(0). Let f = k + 74. Find the third derivative of -4*m**4 + 39*m**2 + 4*m**4 + f*m**2 + 15*m**4 wrt m.\nAnswer: 360*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = 16*i**3 - 618*i**2 - 40*i - 7615. Determine w(39).\nAnswer: -49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = 3*y**2 + 40*y - 10. Let q be m(-14). Suppose q*r - 50 = -7*r. Factor -9\/5*d**r - 3*d**3 - 3\/5*d**4 + 27\/5*d + 0.\nAnswer: -3*d*(d - 1)*(d + 3)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10293*2.\nAnswer: -20586","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 2514345 greater than or equal to 2514340?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 11352?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express (6*v**2 + 11 - 11)*(-19 + 19 - 13*v)*(0*v - 6*v + 3*v) in the form f*v**3 + m*v + k*v**4 + l*v**2 + u and give k.\nAnswer: 234","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 74\/(-12) + 18\/9 + 4.\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9 - -8574.302706976.\nAnswer: 8565.302706976","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 19184952 - 4?\nAnswer: 19184948","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 136963 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -42 + 98. Find the second derivative of -35*a - k*a**5 + 74*a + 8*a**5 wrt a.\nAnswer: -960*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -3 + 4. Let u(p) = 3*p**3 - 9*p**2 - 34*p - 6. Let q be u(6). What are the prime factors of (q\/(-24))\/(b\/(-4))?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -20, 7, 30, -4 in decreasing order.\nAnswer: 30, 7, 4, -4, -20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -70 divided by -35\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (5\/(-2) - (-3)\/(69\/(-161)))*(-31 - -29)\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1162 by -7.\nAnswer: 166","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -37*f + 13. What is n(-2)?\nAnswer: 87","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 0 + -1 + -2 + (16 - 16)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -588438469598 plus 2.2?\nAnswer: -588438469595.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 27924 and 11.\nAnswer: 307164","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1351.9 - -1351.900000638. Round n to seven decimal places.\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.005092582 to five dps.\nAnswer: -0.00509","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 0.2, -21, -275.6?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 289, 1, -0.4?\nAnswer: 289","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 44 divide 17025?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -1ca4 (base 16) to base 7\nAnswer: -30243","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 7327?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 85\/1866 and 30\/703793.\nAnswer: 4222758","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 242764552.\nAnswer: 2, 30345569","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 26917 is divided by 26912.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -134 or -88?\nAnswer: -134","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 39996 and 24543?\nAnswer: 909","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 75, 3, 4\/5, 2, -1\/4, 2\/35?\nAnswer: 75","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = 3*y - 83. Let p(d) = -8*d + 84. Calculate 3*l(c) + 4*p(c).\nAnswer: -23*c + 87","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*16*(13230\/784)\/27.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (3 - -1) + (-2)\/(-2). Let u = c - 3. Let -k**2 + 0*k**2 - u*k + 0*k**2 - 1 = 0. Calculate k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -v + 4. Let c be r(0). Suppose -c*y - p + 75 = 0, -2*p + 25 + 45 = 4*y. Calculate the smallest common multiple of 8 and y.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -9900*j - 9 + 433*j - 14 + 23 in the form k*j + y and give y.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 222 a factor of 11645010?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 360 minutes before 11:50 PM?\nAnswer: 5:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5 + 4515*b - 1 + 1013*b - 4.\nAnswer: 5528*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 13227?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.06? (a) 0.5 (b) 8 (c) 9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 174*a + 24 = 170*a for a.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2146 - 2026. Calculate the least common multiple of 10 and k.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1\/((-60)\/11595) - 3\/4. Let m be 1 - (2 + 6\/(-1)). Is 14 a factor of m\/15 - -4*j\/(-12)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 243 minutes before 4:42 PM?\nAnswer: 12:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*z + 6*z + 23*z - 19264 = 0. Calculate the remainder when 1891 is divided by z.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -i. Let a(y) = -18*y + y - 10*y - 18*y**2 + 26*y. Calculate x(a(g)).\nAnswer: 18*g**2 + g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 8729783?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d = 4 + 4. Suppose 2*r = b - 7, b - 19 + 4 = d*r. Let a be 4 + (-2 - -3)\/b. Solve 7 = a*o - 2 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 16729900 to the nearest 100000.\nAnswer: 16700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -11 + 32*b + 104*b + 12 to the form a + t*b and give a.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1821?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 7\/6 - 37\/42. What is the closest to -1\/4 in l, 2, -44?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -13, -29, -47, -67, -89, -113, -139?\n\"Answer: -t**2 - 13*t + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 147 and 360056949.\nAnswer: 147","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -31*y**3 - 62287*y**2 + 4278081*y.\nAnswer: -186*y - 124574","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l + 1 + 0 = -j, 5*l + 4*j = -4. Let h(d) = 3*d - 7. Let q(p) = -45*p + 99. Let m(k) = -72*h(k) - 5*q(k). Is 2 a factor of m(l)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -251839694*c**3*m - 21*c*m - 58*c - 1666*m + 10 wrt c.\nAnswer: -1511038164*c*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 112 divide 2714?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 4, o: 3}. What is prob of picking 2 s and 1 o?\nAnswer: 18\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -2249349, -2249339, -2249323, -2249301?\n\"Answer: 3*s**2 + s - 2249353","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine c so that 4*c**4\/7 - 1464*c**3\/7 + 150852*c**2\/7 - 2968880*c\/7 - 3121200\/7 = 0.\nAnswer: -1, 27, 170","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 9.77 + -8.77. Let g = -2427\/11 - -221. What is the closest to g in 0.2, h, 5?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -3, 0, 3099, 389, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*l - 18*l + 60 = 0. Solve -5*q = -q + l for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 408\/(-20) - (-10)\/25. Let x(z) = -2*z**2 - 42*z - 35. Let v be x(m). Calculate the greatest common factor of v and 40.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bd when two letters picked without replacement from xxbsssxxds?\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -183, -189, -199, -213, -231, -253?\n\"Answer: -2*b**2 - 181","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**6*u)**(-2\/123) assuming u is positive.\nAnswer: u**(-14\/123)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) be the third derivative of -23*i**4\/24 - 49*i**3\/6 - 11*i**2 - 1. What is the remainder when 53 is divided by t(-3)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 h when two letters picked without replacement from {q: 1, h: 4, t: 9}?\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3443*h + 3053*h + 194*h - 11*h**2 + 0*h**2 + 196*h.\nAnswer: -11*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express (43 - 79 - a + 43)*(2*a + 2*a - 2*a) as w*a + p*a**2 + k and give p.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 33 + 30331133?\nAnswer: 30331232","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3161699.\nAnswer: 797, 3967","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 7756 and 1356376?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 18977 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-2)\/(-4))\/((-1)\/(-6)). Suppose 7*y - 8 - 13 = 0. Let h(d) = 3*d**2 + j*d**2 - 4*d**2 - y*d**2. Let q(c) = 5*c. Calculate q(h(p)).\nAnswer: -5*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -2*j**3 - 35*j**2 + 19*j + 20. Let y be s(-18). Let q be (1 + 4 + -1)\/y. Solve 4*h = -2 - q, -4*h = 5*c + 14 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1 (b) -147 (c) 1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = o**2 - 26*o - 979. Let m be s(-40). Which is bigger: m or 1662?\nAnswer: 1662","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(11) - (sqrt(176) - sqrt(11) - sqrt(11))) + 4 + 2 + sqrt(99)\/sqrt(9) + -5)**2.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 29, -329, 7, 3.\nAnswer: -329, 3, 7, 29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1 + -1041134?\nAnswer: -1041140","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -y - 4 + 0*y + 2*y - 3*y. What is the units digit of t(-4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 473, 1899, 4275, 7601, 11877?\n\"Answer: 475*v**2 + v - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 494564 (base 10) to base 2.\nAnswer: 1111000101111100100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1)\/1)\/((-18)\/(-90)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 9977 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*u + 3 + 6 = 31 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.107105 - -0.037105. Suppose -u = 2*q + 9, u - 2*u + 3*q = -16. Sort p, -0.1, 4, u in decreasing order.\nAnswer: 4, u, p, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1707 bigger than -1704?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 3\/7 (b) 0.06 (c) -2 (d) -1.29\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -23*i**2. Let q(z) = 13*z**2 - 5*z + 5. Let j(b) = -2*b**2 + b - 1. Let s(f) = 5*j(f) + q(f). What is s(o(n))?\nAnswer: 1587*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in eleven eighths of a millimeter?\nAnswer: 1375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*s = -8*s + 30. Let l(a) = -a**2 + 16*a + 12. Is 27 a factor of l(s)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(130)\/((sqrt(10) + sqrt(20)\/sqrt(2) + sqrt(10))*-5))**2.\nAnswer: 13\/225","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is o in 3*o**2 - 6795*o - 95718 = 0?\nAnswer: -14, 2279","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0238 take away -11?\nAnswer: 11.0238","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*o**3 - o**3 + 2*o**3 + 5*o - 5*o.\nAnswer: -6*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -7 + 8. Put -1, -9, b in ascending order.\nAnswer: -9, -1, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 3\/(-2 - (-273)\/132). Let u be 5 - (0 + 2 - 1). Calculate the greatest common factor of s and u.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*p**3 - 72*p**2 - 153*p - 78 = 0.\nAnswer: -1, 26","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 8 - 9. Let t be (h - (-3)\/3) + 3. Differentiate t - 4*z**2 - 5*z + 15*z - 10*z wrt z.\nAnswer: -8*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*s - 338 + 342. Let a(x) = -2*x**2 - 3*x - 1. Let v(l) = -l. Let d(q) = q**2 + 3*q - 4. Let y be d(-3). Give s*a(k) + y*v(k).\nAnswer: -2*k**2 + k - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*a**6*k + 247*a**6 - 2*a**3*k - 317*a**2*k + 14*k wrt a.\nAnswer: 240*a**3*k + 29640*a**3 - 12*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -391, -392, -391, -388, -383, -376?\n\"Answer: x**2 - 4*x - 388","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = 206*i**2 + 18*i - 25. What is z(2)?\nAnswer: 835","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 8847?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 x, 1 a, and 1 h when four letters picked without replacement from hqnqnqaqhqxanaafxq.\nAnswer: 2\/765","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (122\/(-488))\/((-1)\/(-12)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 266927 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 13 - (-3 - (-6 - -6)). Solve 0 = -17*j + 21*j - z for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/13 in -2\/9, -0.04, -29035?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 208632421 and 1673.\nAnswer: 239","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1\/5 - (-28)\/10. Differentiate 5*h**p - 3*h**3 + h - h - 3 with respect to h.\nAnswer: 6*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6767431 (base 11) to base 8\nAnswer: 55161104","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -k**3 + 11*k**2 + 18*k - 17. Let z be f(12). Suppose 3*s - z = p, p = -2*s - p + 42. What are the prime factors of s?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(1\/4)\/f)**22 assuming f is positive.\nAnswer: f**(-33\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 4 + 0 + (-52)\/26. Let s be -4 - u - -9 - -97. What is the highest common factor of s and 25?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jggg when four letters picked without replacement from gjjjgg?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kkgakaggkkggg. What is prob of sequence kaag?\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 11347 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 12\/(-9)*(-6)\/(-4). Let b = t + 5. What is the units digit of b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from svstsvssvsszsvs. Give prob of picking 1 t, 1 s, and 1 v.\nAnswer: 36\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -346211 divided by -444.\nAnswer: 346211\/444","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.3 + -1794941.\nAnswer: -1794941.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3872277 is divided by 345?\nAnswer: 342","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 37.758 + -37.7580004798. What is c rounded to 7 decimal places?\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dx when two letters picked without replacement from xqdxqxxsjqqsqxqqjx?\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 815921 to the power of 1\/3, to the nearest integer?\nAnswer: 93","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) be the third derivative of 19\/6*t**3 - 4\/15*t**5 + 1\/120*t**6 + 0*t - 3\/4*t**4 + 0 + 23*t**2. Let l be b(17). Solve -12 = l*c - 2 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 47 + -56. Which is smaller: c or -10?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.36523 + -0.03477. Suppose -5*j + 4*r = -0*r - 8, 0 = j - 2*r - 4. Which is the biggest value? (a) -4 (b) j (c) -2\/11 (d) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f - 1 - 9 = 0. Suppose u = 2*u - 4. Factor -5*n**2 + n - f*n + u*n**2.\nAnswer: -n*(n + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3.7 + -3.626. Let x = y + -0.08742. Round x to 3 decimal places.\nAnswer: -0.013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 19 - 22. What is the nearest to -0.1 in 2, q, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-290)\/40 - (7\/(-4))\/7.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 507 minutes after 8:39 PM?\nAnswer: 5:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: ((-4)\/6*108\/(-960))\/(132\/(-110))\nAnswer: -1\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*v**3 - 132*v**2 + 1152*v - 1024.\nAnswer: 4*(v - 16)**2*(v - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = b**3 + 16*b**2 + 2*b + 33. Let g be i(-16). Let f(c) be the third derivative of 17*c**6\/120 - c**4\/24 + c**2. What are the prime factors of f(g)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1044 and 61074?\nAnswer: 122148","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4248*u - 551213 + 899549 = 0 for u.\nAnswer: 82","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*b + 3*c - 5 - 49, 4*b - 47 = c. Suppose -2121 = -b*i + 2364. List the prime factors of i.\nAnswer: 3, 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -5 - 45?\nAnswer: -4a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 29 at least 152\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 718, 1475, 2274, 3115, 3998, 4923, 5890?\nAnswer: 6899","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*g - 6*g = 265. Let n(m) = -g + 53 - 7*m**2. Let f(h) be the first derivative of -h**2\/2 - 50. Give n(f(a)).\nAnswer: -7*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 55797252 and 92995420?\nAnswer: 278986260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 23054711 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/5? (a) 2 (b) -0.34 (c) 1\/10 (d) -7\/4 (e) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:58 AM and 1:24 PM?\nAnswer: 446","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 875 - -546. Does 49 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 787722?\nAnswer: 2, 3, 13, 10099","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/4? (a) -7 (b) 0.5 (c) -0.978 (d) -4 (e) 0\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 17938657?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -3d8 (base 15) in base 8?\nAnswer: -1556","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.38 + -3.22. Let z = 0.6 + d. Let w = z - -6. Sort 2, 1\/3, w in decreasing order.\nAnswer: w, 2, 1\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -63*s - 12. Let q(p) = -42*p - 8. Let m(z) = 8*q(z) - 5*u(z). Let i be m(-1). Calculate the greatest common factor of 17 and i.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 14, y: 4}. What is prob of sequence yyyo?\nAnswer: 7\/1530","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -44 - -47. Solve 3*i + 2*h = -21, 0 = -o*i - h + 5*h - 3 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) be the first derivative of f**3 - 3*f**2 + 10*f - 2. Let s(u) = 2*u**2 - 4*u + 7. Calculate -5*k(t) + 7*s(t).\nAnswer: -t**2 + 2*t - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3610*l + 16 = -3611*l + 4*g, -5*l + 2*g = 26 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:44 PM and 9:29 AM?\nAnswer: 705","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = w**2 - 13*w + 5. Let f be h(15). Calculate the highest common factor of 21 and f.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -81756, -155065, -228374, -301683, -374992, -448301?\nAnswer: -521610","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h - 556*a + 558*a - 60691 = 0, 0 = 2*h - 2*a - 121406. List the prime factors of h.\nAnswer: 3, 20233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.23 - 0.03. What is the closest to -1 in 1\/4, b, 5?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -388056 divided by 38.\nAnswer: -10212","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 89\/273680 and 69\/1408.\nAnswer: 2189440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 70 (b) -0.3 (c) -2153 (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 8\/25 of a litre?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = 67*c + 99*c - 4*c - 25*c + 48*c. Let g(j) = 3*j**2. Calculate g(t(s)).\nAnswer: 102675*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -948209, -1896549, -2844889, -3793229, -4741569, -5689909?\nAnswer: -6638249","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -70 + -1b8c?\nAnswer: -1c0c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 5, u: 8}. Give prob of sequence luul.\nAnswer: 28\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) be the first derivative of 4*z**5\/5 - 6*z**4 + 16*z**3 - 20*z**2 + 12*z - 258. Let h(g) = 0. Calculate g.\nAnswer: 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -l**2 - 35*l + 28. Calculate f(-46).\nAnswer: -478","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -59*u**3 - 13*u**2 + 11*u + 7. Let l(j) = -29*j**3 - 6*j**2 + 5*j + 4. Let a(n) = 13*l(n) - 6*p(n). Differentiate a(v) with respect to v.\nAnswer: -69*v**2 - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -7.625 - -0.3.\nAnswer: -7.325","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = 5*a**2 - 11*a + 13. Let s(k) = -k**2 - 1. Let f(p) = -4*s(p) - x(p). Let i be f(8). Solve h = 5*d + 23, 10 = -4*d + 3*h - i for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-one halves of a microgram in nanograms?\nAnswer: 15500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3 - -1. Let d = -10 - 0. Let b be 1\/2 + (-55)\/d. Put 5, g, b in decreasing order.\nAnswer: b, 5, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or -169\/25828?\nAnswer: -169\/25828","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 101123 a multiple of 319?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 183 and 534?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -2*a + 27. Let i be j(13). Calculate the greatest common factor of 3 and i.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = 24*f + 197. Let m be t(-9). Sort 1, -2, m.\nAnswer: m, -2, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -147 - -7?\nAnswer: -140","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 364?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 1465?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -41 (base 7) in base 4?\nAnswer: -131","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -417 + 422. Factor 1\/5*v**y + 0*v**3 + 0 + 0*v + 0*v**2 + 0*v**4.\nAnswer: v**5\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*u**2\/2 + 1278*u - 2553\/2.\nAnswer: -3*(u - 851)*(u - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 378 - 372 = 2*o for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fb when two letters picked without replacement from {i: 5, a: 1, b: 2, f: 1, c: 1}?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide 46672 by 4.\nAnswer: 11668","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -72, -293, -664, -1185, -1856, -2677, -3648?\nAnswer: -4769","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 111 is divided by 16?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/5, -26, -0.77, 5 in descending order.\nAnswer: 5, 1\/5, -0.77, -26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-3 - (2 + -2))*1. Let b = -651 + 650. Is b not equal to z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1 (b) -0.05 (c) 1.31 (d) 0.01 (e) -13 (f) 2\/5\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -p**2 + 40 + 2*p**2 - 40. Let n(b) be the third derivative of -b**7\/1260 - b**4\/24 - b**2. Let o(y) be the second derivative of n(y). Give o(l(z)).\nAnswer: -2*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert -13444441400 (base 5) to base 8.\nAnswer: -103033375","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) be the second derivative of -h**6\/360 + h**5\/40 - h**4\/12 - h**3\/6 - 2*h. Let i(c) be the second derivative of y(c). Factor i(d).\nAnswer: -(d - 2)*(d - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -24.2275 rounded to the nearest ten?\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -20*l**2 - 17*l - 17. Let y(p) = -12*p**2 - 11*p - 1. Let v(d) = 11*d**2 + 10*d + 2. Let t(a) = -5*v(a) - 4*y(a). Give 6*j(c) - 17*t(c).\nAnswer: -c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -137, -3, 2, -2, -15, -5 in increasing order.\nAnswer: -137, -15, -5, -3, -2, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 116 - 1 - (7443 - 7399 - (1 - -26)).\nAnswer: 98","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -h**2 - 15*h + 16. Let s be j(-17). Let w = s + 22. Let f(v) = 3*v**3 + 2*v**2 - 6*v + 4. Is 49 a factor of f(w)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x**4 + 5064*x**3 + 112976*x**2 + 475104*x - 1442560 = 0. What is x?\nAnswer: -14, -10, 2, 1288","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -459*n + 453*n + 48 for n.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 42 is divided by 22.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rdaljrn. Give prob of picking 1 n, 1 r, and 1 j.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 87 divide 957?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -169 + 171. What is the smallest common multiple of c and 26?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((r*r\/(r*r**(1\/2))*r)\/r)**(-50)*(r*r\/(r*r**1))\/r**14)**(-4\/13) assuming r is positive.\nAnswer: r**12","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) be the second derivative of 17*k**3 + 204*k**2 + 161*k. Determine f(-4).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2*((-55)\/(-11))\/90)\/((-2)\/(-4))?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -179 divided by 5?\nAnswer: -179\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (1*sqrt(612) - (0 + sqrt(2448) + sqrt(17))**2).\nAnswer: -2870 + 6*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 4 - -13. Suppose -b - 4*v + a = 0, 0 = b + v - 12 - 2. List the prime factors of b.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:58 AM and 5:54 PM?\nAnswer: 596","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 47018520*0.3\nAnswer: 14105556","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = 11*y**2 + 3*y + 16. Is w(13) a multiple of 58?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 756\/567*(-3)\/(-18)?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f = 2*f + 3. Suppose -f*v + 0*p - 3*p + 48 = 0, 3*v - p - 40 = 0. Let z be (-1 - -2) + 126 + -1. Calculate the greatest common divisor of v and z.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 5 + -11622753?\nAnswer: -1162274b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -6856924 + -5?\nAnswer: -6856929","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 119*h - 3473670 + 3473670.\nAnswer: 119*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**(-1\/31)\/(g**(-1\/3)\/(g\/g**(-1\/3)))*(g**1\/(g*g**3))\/(g**(-1\/2)\/g**(-3)) assuming g is positive.\nAnswer: g**(-719\/186)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: Solve 43780 - 6436 = -1167*v for v.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -3*d + 2. Let y be f(-1). Suppose -13 = -3*m + 5*p, 4*m - 31 = -2*p - y. Suppose -l - 130 = -m*l. Does 5 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -2*l**3 + 13*l**2 - 8*l + 1. Calculate g(6).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*v**2\/11 - 6750*v\/11 - 2836872\/11 = 0.\nAnswer: -2883, -492","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: What is d in -d**4 - 90*d**3 - 1091*d**2 + 2550*d = 0?\nAnswer: -75, -17, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 253535282.4 rounded to the nearest one million?\nAnswer: 254000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = 3*a**2 - 2*a. Let p(n) = 196*n**2 - 70*n. What is 140*m(q) - 4*p(q)?\nAnswer: -364*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 28896797647 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -254 + 225 + 788*o**2 - o**3 + 668*o**2.\nAnswer: -o**3 + 1456*o**2 - 29","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*c + 3 = 23, -2*n + 2*c = -6 for n.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/2*(-280)\/(-245)*5?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -2344*t - 14040. Let u be s(-6). Solve 4*w = -2*w - u for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 1, o: 11}. What is prob of picking 4 m?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -55c4b2 + 15?\nAnswer: -55c49a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2\/(-6) + (-1032)\/(-18). Differentiate 4*h**4 + 51 - k + h**4 with respect to h.\nAnswer: 20*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 16.98 + 0.02. Let o = k + -11. Let b = 5.99954 - o. What is b rounded to four dps?\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 370 is divided by 25.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 899 + -1318. Let x = s - -862. Is x prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2263425?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) be the second derivative of -y**4\/12 - 473*y**3\/6 - 236*y**2 + 1150*y. Factor s(a).\nAnswer: -(a + 1)*(a + 472)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) -10 (b) -0.08 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2*(-1)\/6 + 0. Which is the nearest to z? (a) -2\/5 (b) 1\/6 (c) 1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-28)\/(-56)*840\/(-20)\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 7113240\/221 or 32186?\nAnswer: 32186","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 118260 is divided by 3478?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 4219 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5135475 is divided by 5.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 542784.\nAnswer: 2, 3, 11, 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*i + 16*i = 2*p + 26, 0 = 5*p - 10. Factor 58*a**3 + 62*a**3 - i*a**2 - 115*a**3.\nAnswer: 5*a**2*(a - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = 3*x + 4. Let w be r(3). Suppose -4*u + u + 4*d = -w, -u = 4*d + 1. Let g be -5*1*-1 + 0. Solve g = -z + u for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -1 - (-28 + 4)\/6. Let x(k) = -5*k**3 - 4. Let a(l) be the third derivative of -11*l**6\/120 - 3*l**3\/2 - l**2. Calculate t*a(i) - 7*x(i).\nAnswer: 2*i**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3*d**4 - 2*d**3*z - 7*d**2*z**2 - 11232*d*z**2 wrt d?\nAnswer: 36*d**2 - 12*d*z - 14*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q - 370 = -6*q. Let b = q - 35. What is the third smallest value in 0.6, b, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2056659 != 2056636?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-5676)\/(-27) + -3 + (-134)\/603?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2.9 - -2.8. What is the nearest to x in -2, -1, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-4)\/(-40))\/((-8)\/32)*(-2 - 1). Let x(t) be the second derivative of 0 - 9\/50*t**5 - 13\/20*t**4 - n*t**3 - 1\/50*t**6 - 6\/5*t**2 + 31*t. Factor x(j).\nAnswer: -3*(j + 1)**2*(j + 2)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 20112 - 20088. Solve -2*z + 28 = f + 35, -r = -z + 5*f for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a + x + 3*x + 32 = 0, 0 = a + 3*x + 13. Let j be (a\/(-6))\/((-12)\/(-90)). Suppose j*l = 195 - 5. Does 13 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 2 - 31d?\nAnswer: -31b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = 2*k**2 - 27*k - 78. Let p be c(-3). Solve 91 = p*s - 14 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = u**2 + u. Let k(y) be the first derivative of y**4\/2 + y**3 - y**2\/2 - 2*y - 3. Let v be k(-2). Let z = 5 + v. What is t(z)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -2252 - -3?\nAnswer: -2245","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = -2*o - 0*o. Let n(m) = m + 1. Suppose -28 = -2*d - 4*x, 5*d + 4*x - 36 = d. Let l(s) = -d + 2*s - 9*s + 0. Give o*n(q) - l(q).\nAnswer: 2*q - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c + k = 2*k + 28, 5*c = -3*k + 52. Suppose -24 = -4*t - c. Determine o so that 7*o**4 + 5*o**4 - 4*o**t - 8*o**3 - 2*o**5 = 0.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 897 + -729. Calculate the remainder when w is divided by 85.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yyfyyyyyyfyyyyuuyf. What is prob of sequence uyyy?\nAnswer: 143\/3060","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 900414 to the nearest integer?\nAnswer: 97","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*y**2\/4 - 3123*y\/2 - 6243\/4.\nAnswer: -3*(y + 1)*(y + 2081)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*l**3 + l**3 + 5*l**3 + (2*l + 0*l + 0*l)*(l**2 + l**2 - 3*l**2) + l**3 + 0 + 3*l + 2 - l as u*l + d*l**3 + q*l**2 + n and give d.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = o**2 + 2*o + 1. Let t = 30 - 38. Is i(t) a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j and 3 p when four letters picked without replacement from {p: 12, j: 3}?\nAnswer: 44\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 835 + -802.48. Let m = -3.7 + -27.3. Let y = m + s. Round y to one dp.\nAnswer: 1.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -22 + 14. Let v = -9 + w. Let a = v - -23. Solve -3*l - 15 = -a*l for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is 111001110 (base 2) in base 8?\nAnswer: 716","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*v**2 - 1550*v + 1484*v - v**2 - 359*v**4 wrt v.\nAnswer: -4308*v**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 55\/7 and 63\/272.\nAnswer: 1904","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 53311, 53316, 53325, 53338, 53355?\nAnswer: 53376","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.405215 times 0.0369?\nAnswer: -0.0149524335","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is -129028 >= -129030?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = 3*u. Let d(c) = -402566*c**2 - 1208. Let y(h) = -3327*h**2 - 10. Let n(t) = -5*d(t) + 604*y(t). Determine n(g(j)).\nAnswer: 29898*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -449 times 17?\nAnswer: -7633","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n = -7 - 1. Suppose 2*v - 36 = -v - 2*u, n*u = v - 26. Is 7 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17*t + 14*t - 42*t + 7*t + 8*t.\nAnswer: 4*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide 11544 by -1.\nAnswer: -11544","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 1902639226 to the power of 1\/8, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1842.6 - 2069. Let j = a - -226. Sort j, -0.08, -7 in decreasing order.\nAnswer: -0.08, j, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 334180 and 2577960?\nAnswer: 18045720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -136, -245, -320, -355, -344, -281, -160?\n\"Answer: p**3 + 11*p**2 - 149*p + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 208363.\nAnswer: 101, 2063","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 22*p**3*x**3 + 12*p**3 + 2*p*x**3 - p*x + 55*x**3 + 3 wrt p?\nAnswer: 132*p*x**3 + 72*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (2 - 3)\/((-1)\/12). Suppose -5*y + 4*v + 20 = -v, -h = -3*y + 5*v. Suppose 0 = n + 4*c - y, -c = -n + 6 + 3. Is n a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -140, -121, -148, -269, -532, -985?\nAnswer: -1676","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1846\/8 - (7 + 58\/(-8)).\nAnswer: 3, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 90 or 5279?\nAnswer: 90","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 3514266 and 5522418.\nAnswer: 38656926","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 26066 - -34?\nAnswer: 26122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 149023?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(7) + sqrt(63)*-1 + (sqrt(7) - (-2 + sqrt(175) + sqrt(175) - sqrt(175))).\nAnswer: -6*sqrt(7) + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3\/6*1*12\/33.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 135690346.\nAnswer: 2, 11, 103, 233, 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-16)\/12*138\/(-20)*26\/364*35.\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*n*n**(-1)*n)\/n*n**2*(n**(-3\/8)\/n)\/(n\/(n\/((n**(1\/3)*n)\/n*n))) assuming n is positive.\nAnswer: n**(7\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*p - 3 - 3. What is the units digit of 2\/p*150\/4?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 52, 56, 1, 4, 2.\nAnswer: 1, 2, 4, 52, 56","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 5+44526\nAnswer: 44531","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/40 of a minute in milliseconds?\nAnswer: 4500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 b and 1 g when three letters picked without replacement from apvppnbpbbvnnnapgvnn?\nAnswer: 1\/380","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence il when two letters picked without replacement from {k: 4, l: 1, i: 3}.\nAnswer: 3\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:42 PM and 11:41 PM?\nAnswer: 59","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19 + 7 = -4*q. Let s(r) = -9*r**2 - r**q + 6 + 9*r**2 + 10*r**2. Let l be s(10). What is the greatest common divisor of 48 and l?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 206 and 4335888?\nAnswer: 206","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -15 - -19. Differentiate 4*j**x - 31 - 15*j**4 + 29 with respect to j.\nAnswer: -44*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 28 a factor of 2345433910?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 210 divide 3012030?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*y + 58 = t, 25*y = 2*t + 60*y - 31*y + 24 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = s**3 - 99*s**2 + 196*s - 204. What is d(97)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put 8, 2\/5, -11\/5 in decreasing order.\nAnswer: 8, 2\/5, -11\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (10 - (-1 - 7 - (-56 - -29 - -18))) + 23.\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -7? (a) -8152 (b) 0.21 (c) 1.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k + 5*d - 64 = 43, 161 = 5*k + 4*d. What is the first derivative of 162*n**3 + k + n + 47 - n wrt n?\nAnswer: 486*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2567916 by 641979.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -4105 - -4104.999995242. What is i rounded to 7 dps?\nAnswer: -0.0000048","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xxx when three letters picked without replacement from xxxxxxcxxcxxx.\nAnswer: 15\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*l**5 - 1784*l**4 - 118376*l**3 + 777152*l**2 + 118380*l - 775368 = 0.\nAnswer: -363, -89, -1, 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*g + 6*g + 1407 = 0. List the prime factors of g.\nAnswer: 3, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -6, 4, -3, 2, 126, -1, 1 in ascending order.\nAnswer: -6, -3, -1, 1, 2, 4, 126","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 27\/(-15) + (-9)\/90 - 96\/(-240)?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 341, 669, 995, 1319?\n\"Answer: -p**2 + 331*p + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11763 (base 11) to base 8.\nAnswer: 40770","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.07 in -2\/5, -0.2, -3\/10, -2\/7?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = n + 6. Let v be z(-5). Let l be (-1)\/((-6)\/(-4) + -1). Is v\/(l + 117\/57) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 1\/7, -2\/5, -0.057, -2 in descending order.\nAnswer: 4, 1\/7, -0.057, -2\/5, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + 78 = 2*s. Let y be 56\/s + 4\/(-26). Solve -y*z - 15 = -0*z - 3*l, 0 = z + l - 5 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 924 and 572.\nAnswer: 12012","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in eleven halves of a milligram?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (1 + -11 + -20)*84\/70\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 31.4 + -31. Which is the closest to 0.2? (a) v (b) -1 (c) 2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = 676*o + 46428. What is s(-69)?\nAnswer: -216","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*f*f**(-1\/12)*f)**(-47)*(f\/(f*(f**(-3\/2)\/f)\/f)*f*f)**45 assuming f is positive.\nAnswer: f**(1325\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -8\/5? (a) 62 (b) 6\/35 (c) -2\/15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:33 PM and 6:10 PM?\nAnswer: 337","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000172044 to six decimal places.\nAnswer: -0.000172","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -13207 - -13336. Calculate the greatest common factor of o and 27.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 394 minutes after 11:37 AM?\nAnswer: 6:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 146b7a + -5?\nAnswer: 146b75","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1.65 + -1.35. What is the nearest to -0.1 in 2\/5, q, 4?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 625 minutes before 9:19 PM?\nAnswer: 10:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -4*l**2 + 10. Let m be (-3)\/12 - 447\/(-12). Let r = -21 + m. Let d(c) = -9 + r - 8. Determine 10*d(w) + s(w).\nAnswer: -4*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in b + 557*b**3 - 50*b - 14*b**3 + 49*b.\nAnswer: 543*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.2, 2\/63, -5\/2 in increasing order.\nAnswer: -5\/2, 2\/63, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0880065 to 2 decimal places.\nAnswer: -0.09","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 191156059793 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.4 - 1131.\nAnswer: -1131.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2907*f**3 - 2870*f**3 + 5769*f**3.\nAnswer: -8*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -53\/3612125 and -16\/86691.\nAnswer: 10836375","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*a**2 + 7998*a + 3574992 = 0. What is a?\nAnswer: -2098, -568","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -4 - -1. Let h(r) = -5*r + 3. Let n be h(u). Suppose 8 = j + 2*k, n = j + j + 2*k. Solve 2*x + 3*x + j = 0 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -4 - -8. Suppose 0 = -3*v + 3, -4*x + 3*v + 8 = -v. Let k + 4 - x + 6*t**3 - 2 - 6*t - 3*t**4 = 0. What is t?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0026948 rounded to three decimal places?\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 4586 a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-3\/4)*s)**(-26\/5) assuming s is positive.\nAnswer: s**(-13\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 16972 to the power of 1\/2, to the nearest integer?\nAnswer: 130","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*w + 3 = 13*w. Suppose -4*b + 25 = w. Suppose 4*a + b*z - 18 = 4*z, 3*a - 21 = -3*z. What is the units digit of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = 1298*w. Let z(v) = 2573*v. Let c(g) = -5*x(g) + 3*z(g). Let d(f) = -f**2. Calculate d(c(a)).\nAnswer: -1510441*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -21, -115, -279, -519, -841, -1251, -1755?\n\"Answer: -a**3 - 29*a**2 + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) be the first derivative of 0*r + 7*r**2 - 5\/96*r**4 + 1\/240*r**5 + 1\/480*r**6 + 1\/8*r**3 - 17. Let m(c) be the second derivative of q(c). Factor m(y).\nAnswer: (y - 1)**2*(y + 3)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in -1\/2, -3, -4966?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (0 + 0)*(7 + -6). Suppose s + 2*c - 5*c - 20 = u, 40 = 2*s - 4*c. Calculate the greatest common divisor of s and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) be the second derivative of -v**6\/210 - 3*v**5\/70 - v**4\/7 - 5*v**3\/21 - 3*v**2\/14 - 225*v - 1. Factor n(g).\nAnswer: -(g + 1)**3*(g + 3)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-2)\/6)\/((-4)\/(-36)). Let z be 2\/4*(-90)\/v. Solve z = 2*g - 5*g for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*m - 3*m - 92 + 110 = 0. Let d be 1\/(((-1)\/(-4))\/(-1)). Sort m, 2, d in descending order.\nAnswer: 2, m, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 186 and 138.\nAnswer: 4278","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 12.878778 minutes to hours.\nAnswer: 0.2146463","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + 9*s + 15 = 0. Suppose -10 = 7*y + 32. Put 2, s, y in descending order.\nAnswer: 2, s, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 44797 and -0.5.\nAnswer: 44796.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = 4*x**3 - 4*x**2 - 3*x. Let r be p(4). Let h = r - 1262\/7. Let l = 74 + -372\/5. Do l and h have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) be the second derivative of m**7\/1260 - m**6\/360 - m**5\/120 - m**4\/2 + 9*m. Let f(w) be the third derivative of a(w). What is f(2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a century in years?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(264)\/(sqrt(24)\/sqrt(2)) - 1*sqrt(2200))*4)\/(sqrt(1100)*-1*4 - (-4*sqrt(1100)*-2 + sqrt(1100))).\nAnswer: 18*sqrt(2)\/65","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 47 and 1031039?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -4*b**3 + 97*b**2 + 72*b + 73. Let k be t(25). Sort 4, 53\/12, k in ascending order.\nAnswer: k, 4, 53\/12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = 84*r**2 - 2. Let b(g) = 8*g**2 + 20*g**2 + 180*g - 103*g - 77*g. What is x(b(h))?\nAnswer: 65856*h**4 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -z**3 + 8*z**2 - 10*z + 2. What is n(6)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 24601396 and 348.\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -167375\/18 - -9295. Let r be (1 + -3)*(1 - 3). What is the common denominator of p and (-8)\/r - (-19)\/22?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -z**3 - 4*z**2 + 7*z + 3. Let n be -3 + (-1)\/(-2)*-4. Calculate u(n).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + 0*n + 15 = 2*n, y - 24 = -5*n. Suppose -5*m = -g + y, 5*g - g + 10 = -3*m. Let l(f) = -f**2 - 3*f + 1. Give l(m).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = 9*g**2 - 3*g - 5. Suppose -2*c = c - 15. Let w be k(c). Suppose 7*q - 119 = 4*q + 4*f, -w = -5*q + 5*f. Round q to the nearest 10.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine q so that 0 - 2\/11*q**3 + 6\/11*q - 4\/11*q**2 = 0.\nAnswer: -3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*l**5\/4 + 451*l**4\/2 + 7525*l**3\/2 - 1200*l**2 - 136179*l\/4 - 14931\/2 = 0. What is l?\nAnswer: -79, -21, -3, -2\/9, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) be the second derivative of -13*r**4\/12 - 48*r + 2. Let m(c) = 5*c. Let w(n) = -n. Let t(j) = 4*m(j) + 22*w(j). What is y(t(q))?\nAnswer: -52*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 + 0 + 2 + (-4 + 3 + 2)*(-2 + 4 - 3))*(-4*y + 2*y + 3*y) - y + 2*y + 4*y in the form g*y + b and give g.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve h + 3 = 3*l + 8, 5*h = -5 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 470 minutes before 8:50 AM?\nAnswer: 1:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-8)\/(-36))\/((-133)\/(-63))?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v + 0*v - 4 = 0. Suppose -1852 = -65*d - 96*d - 302*d. Let c(l) = -l - 9. Let h be c(-7). Put h, d, 5, v in ascending order.\nAnswer: h, v, d, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -12 - l + 20 - 8 as b*l + j and give b.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 18782c (base 15) to base 11.\nAnswer: 742a45","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve w = -106 + 103 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 21\/5 of a litre?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -49*z + 72*z + 28 + 37 - 11 - 41*z. Let i(f) = 9*f - 24. Let u(a) = 4*h(a) + 9*i(a). Let q(s) = 3*s**2. Calculate q(u(t)).\nAnswer: 243*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 107 - 64. Let c = 43.37 - a. Let z = 0.07 - c. What is the third smallest value in 0, -2\/5, z?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -4*c - 4. Calculate the remainder when 21 is divided by w(-3).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 262 a factor of 37024006?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-2)\/30)\/(4\/(-10)). Let h = -198 + 110. Let u = h - -87.8. What is the nearest to u in r, -5, 0.4?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2\/(30\/3)*2\/(540\/252*14)\nAnswer: 1\/75","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = 567861*z - 5678593. Determine t(10).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) be the third derivative of r**4\/24 - 5*r**2. Let l = -21 + 24. Let b be k(l). Solve -b*y + 4*n = -23, 0 = -y - n - n - 9 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 653 and 6.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -5*p**2 + 3*p**3 - p**3 - 3 - 14*p - 3*p**3 + 27*p. Let z be u(-7). Solve z = -3*f + 10 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -2*h**2 - 2*h - 3. Let c(b) = -b**3 + 32*b**2 + 167*b - 833. Let o be c(36). Let m(r) = -2*r**2 - 2*r - 4. Determine o*p(k) + 4*m(k).\nAnswer: 2*k**2 + 2*k - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Work out 426.129 - 112.\nAnswer: 314.129","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p = 15, 4*w - 9*w - 2*p + 40 = 0. What is the lowest common multiple of w and 1120?\nAnswer: 3360","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-100)\/(-150))\/((8\/(-10))\/(312\/780))?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 32697 and 328527.\nAnswer: 1557","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) be the first derivative of 83*k**6\/30 + 89*k**2\/2 - 18*k + 120. Let x(m) be the first derivative of g(m). What is the first derivative of x(v) wrt v?\nAnswer: 332*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8274366 + 8819?\nAnswer: 8283185","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3924, -3922, -3920?\nAnswer: -3918","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 1 - 1)*(0*z - z - z) - 3*z + z + 4*z - z + 10*z + 0*z.\nAnswer: 7*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -140330580 divided by -189380.\nAnswer: 741","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = 2*b**3 + 15*b**2 - 6*b + 12. Let m be z(-8). Let s be 0 + -2*(-1 + 2). Put -5, m, s in descending order.\nAnswer: s, m, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 97*d**3 - 627 + 619 + 93*d**3 - 195*d**3.\nAnswer: -5*d**3 - 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 7570?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -z**3 - z**2 + z. Let x(m) = m**3 + 3*m**2 - m + 3. Suppose 3*g + 2 = 5*g. Let j(o) = g*x(o) + 2*f(o). Suppose -3*w = w - 3*w. Calculate j(w).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -5 + 72?\nAnswer: 6b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -11*x**2 - 68*x - 13. Determine g(-7).\nAnswer: -76","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 584\/(-96) + 6 - (-7 + (-210)\/(-72)). Let y(d) = -4*d + 5. Determine y(r).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*i**3 + 2*i**3 + 3*i**3 - 1)*(24*i + 21*i - 28*i).\nAnswer: 17*i**4 - 17*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 34852391 and 33950?\nAnswer: 1742619550","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -0.021274459 - -659.29\nAnswer: 659.268725541","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v**2 + 38699*v = 0. What is v?\nAnswer: 0, 38699","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 1070262*h - 1070175*h - 1131 for h.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of -3 - (-36)\/(-24)*10508\/(-6).\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 168 + -165. What is the closest to l in -2, 5, -2\/13, -3?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 882417251 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-25)\/60)\/(8\/((-384)\/150)). Let j be (-4)\/(-18)*(-3)\/4. Which is the nearest to 0.1? (a) j (b) w (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 596*u**2 - 7868*u + 1560 = 0. Calculate u.\nAnswer: 30\/149, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2331 + 912 = -3*t + 3*a, -4*a - 952 = -2*t. Let m = -265 + t. Is m a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -j**2 - 4*j - 3. Let l be k(-2). Let s be (-1)\/((2\/(-4))\/l). Solve -s*r + 5*r = 0 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*c - 21836 = -5*c - 164*c - 18*c for c.\nAnswer: 106","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 22578, 22597, 22644, 22731, 22870, 23073?\nAnswer: 23352","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -174.05 and 517?\nAnswer: -89983.85","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 34512, 34475, 34438?\n\"Answer: -37*c + 34549","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3*-1*-24*19\/(-1368).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b and 1 c when two letters picked without replacement from btmiymc.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = p**3 + 62*p**2 - 135*p - 447. Let r be l(-64). Which is the nearest to -2\/5? (a) 0.5 (b) -24.9 (c) r (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 0.4 (b) 11455 (c) 9\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 23 + -23.26. Let x = 9.74 - s. Let d = -10 + x. Sort 2\/19, -3, d in decreasing order.\nAnswer: 2\/19, d, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 146*f + 37*f - 5*f**2 + 4*f**2 - 770*f + 9 in the form h*f**2 + s + q*f and give h.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3791094*m**2 - 16401435*m wrt m?\nAnswer: 7582188","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3750 to the nearest integer?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -7*a**3*g**3 - 19*a**3 + 7*a*g**4 wrt g?\nAnswer: -21*a**3*g**2 + 28*a*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (k**2 + 0*k**2 + 0*k**2)*(2 + 1 + 0)*(2*k - k - 3*k).\nAnswer: -6*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Determine i so that 4*i**3 - 9752*i**2 - 68700*i + 586800 = 0.\nAnswer: -12, 5, 2445","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 332, 327, 320, 311?\nAnswer: 300","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -599 - 9654?\nAnswer: -10253","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*sqrt(156)*-1 + -4*3*sqrt(156))\/((sqrt(132)*-5 + sqrt(132))\/sqrt(11) + (-3*sqrt(108) + sqrt(108))\/sqrt(9)).\nAnswer: 17*sqrt(13)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -91\/29768 and 121\/1220.\nAnswer: 148840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = 47*q**2 - 1. Let y be -3 - 6*(-12)\/18. List the prime factors of n(y).\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 = -b + 19. Suppose 6*a + b = 121. What is the greatest common factor of 126 and a?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.3 (b) 1 (c) -34\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/3? (a) 8 (b) -2\/7 (c) 2\/15 (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -8*j. Let l(r) = -30*r**2 - 9*r + 18. Let g(o) = -14*o**2 - 4*o + 8. Let z(k) = -9*g(k) + 4*l(k). What is z(u(f))?\nAnswer: 384*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*-1*1*(-4)\/12.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bbnnbnnnnbnn. What is prob of sequence bb?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: Let t = 131\/7 - 19. Let m = 145.14 + -145.04. Put t, 23, m in decreasing order.\nAnswer: 23, m, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 187371184 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-3294)\/(-324) - (-2)\/(-12). Is 2 a factor of 876\/y + 6 + 198\/(-30)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 103\/324 and (533\/(-26) - 5)\/(5\/(10\/(-648))).\nAnswer: 648","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -40117 - -40123. Let p = 101 - 907\/9. Which is the closest to g? (a) 5 (b) p (c) 6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 56 and 244902968.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + -6*sqrt(125)*2)**2 - 2*((sqrt(5) - (sqrt(5) - (2 + sqrt(5) + 0)) - sqrt(5))*-3)**2.\nAnswer: -480*sqrt(5) + 17944","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:55 AM and 9:07 AM?\nAnswer: 132","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 24 greater than -654\/4255?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does -39480 = -39870?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = w**3 - w**2 + w + 2. Let z be n(0). Suppose z*v = 31 - 21. Suppose -7*s - 189 = -2*o - 2*s, -v*s + 246 = 3*o. What is the units digit of o?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w + 4*t = 91 + 69, 0 = -2*w + 5*t + 66. Calculate the remainder when 111 is divided by w.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -68*h**5 - 95365*h**4 - 277483*h**2 + 3*h.\nAnswer: -4080*h**2 - 2288760*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -2041.0002 rounded to the nearest 10?\nAnswer: -2040","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + 3*n - 109 = -5*r, 3*n = 6. Suppose -r*f + 22*f = -19. Is f > -16?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 56 divide 10523968?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 111 minutes before 11:36 AM?\nAnswer: 9:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((2\/(-6))\/(67\/(-1407)))\/1?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**4)**(1\/4)*(z**8*z*z)\/((z**7*z)\/z) assuming z is positive.\nAnswer: z**4","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -125556 (base 7) in base 13?\nAnswer: -a992","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or 114\/467?\nAnswer: 114\/467","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -1280*o + 474 wrt o?\nAnswer: -1280","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) be the third derivative of y**8\/14 + y**4 - 5*y**2. Find the second derivative of g(d) wrt d.\nAnswer: 480*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 4.7 - -0.3. Let j = 1219.5 - 1220. Which is the fourth biggest value? (a) j (b) -3 (c) p (d) 6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 72\/2*(-10)\/300*-15\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 14688\/396 + -51 + 14*1?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -4*s**2 - s - 1. Let t be w(-1). Sort t, 0, -1 in decreasing order.\nAnswer: 0, -1, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -4, 2, 18, 50, 104, 186, 302, 458?\n\"Answer: k**3 - k**2 + 2*k - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7260*m = 7216*m + 44. Let h(c) = 2*c**2 + 22*c - 2. Let t(w) = -w**2. Give m*h(v) + 4*t(v).\nAnswer: -2*v**2 + 22*v - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-16*x + 24*x - 24*x)*(5 + 2 - 4) + ((0*x - x - x)*(-3 + 6 - 5) - x - x + x - 1 + 1 + 2*x)*(2 - 1 + 0) to t + v*x and give v.\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 4609223695 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 4 + ((-1602)\/10 - 2\/(-10)). Let q = h - -188. Is 8 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -4903*v**4 - 4*v**3 - 31152 wrt v.\nAnswer: -19612*v**3 - 12*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) be the second derivative of 1\/2*b**3 - b + 0 + 0*b**2. Let i(w) be the first derivative of -w**3\/3 + 1. Give i(p(x)).\nAnswer: -9*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 2, e: 2}. Give prob of sequence ege.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 7, i: 12}. Give prob of sequence ii.\nAnswer: 22\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = 3*k - 2. Let d be p(2). Let q(a) be the first derivative of 2*a**2 - 2*a - 1. What are the prime factors of q(d)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3557159*l**4 + 2*l**2 + 5*l + 87210 wrt l?\nAnswer: -85371816*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 3140.678 micrograms?\nAnswer: 0.000000003140678","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -166 (base 8) to base 9\nAnswer: -141","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -128246*c**2 + 13*c + 10. Let u be a(-2). What is u rounded to the nearest one hundred thousand?\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -944 divided by 174473\nAnswer: -944\/174473","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -6.0038 - -3.792. Let m = z - -2.22. Round m to three dps.\nAnswer: 0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4647787291?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k - 25 = -2*k. Suppose -2*c + 0*q - 32 = q, 0 = 3*c + k*q + 34. Which is smaller: -19 or c?\nAnswer: -19","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -15258030 to the nearest one million.\nAnswer: -15000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/68931 at most as big as -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = 25*j - 130. Calculate s(6).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -52 - -60. Does 23 divide (-3 - 68\/w)\/((-3)\/60)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*m - 5*s + 10, -2*m + 7*s - 91 + 82 = 0 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or 12904\/7?\nAnswer: 12904\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*i = 4*i + 84. Suppose 5*a = -c + 1705, -6*a - 5*c = -8*a + 709. Let z be a\/2 + (0 - 3). Calculate the greatest common factor of i and z.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 239118, 239119, 239124, 239133, 239146, 239163, 239184?\n\"Answer: 2*s**2 - 5*s + 239121","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3\/12 + (-36)\/(-10)*(-495)\/(-264).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -2006, -2019, -1926, -1733, -1446?\n\"Answer: -n**3 + 59*n**2 - 183*n - 1881","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 35 + 25 = -p + 45 for p.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 298221 is divided by 49699.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (91044\/(-243))\/(2\/(-9))?\nAnswer: 2, 3, 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*c + j - 7, -3*c + 3*j + 33 = -0*c. Is 6 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -580439, -580132, -579621, -578906, -577987, -576864?\nAnswer: -575537","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 44*f**3*n + 9054*f**3*r**3 + 4*f**3 - 270*f*n*r**3 - 3*n wrt n.\nAnswer: 44*f**3 - 270*f*r**3 - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-1 - -2)*(-7)\/(-1). Let d(t) = 4*t + 5. Let y be d(p). Let j = 86 + y. Is j a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 0.04 (b) -10 (c) -12\/23\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:49 AM and 1:44 PM?\nAnswer: 595","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 83 - 82.6. Which is smaller: -4 or k?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 4\/(-26) - (-4704)\/156. Let j = v - 20. What is the derivative of -u - j + 1 + 2*u - 2*u wrt u?\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or -200\/162453?\nAnswer: -200\/162453","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 18533 is divided by 7.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express 15756*o**3 - 15756*o**3 - 662*o**4 + (2*o**2 - 3*o**2 - o**2)*(-5*o**2 - 2*o**2 + 5*o**2) as p*o**2 + i + b*o + q*o**4 + h*o**3 and give p.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 204\/5 >= 41?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 363 and 198?\nAnswer: 2178","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 16307 is divided by 4058?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 14 (b) -60 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1956 in -0.1, 3, 11, 2\/3?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = v**2 + 8*v + 8. Let x(r) = r**3 - 7*r**2 + 5*r - 2. Suppose 37 = 5*l + 7. Let d be x(l). What is the remainder when 23 is divided by b(d)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 420 and 3260.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g + 627 = 5*g. Suppose 128*v - 3577 = -6*v - 1031. Calculate the greatest common divisor of v and g.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000377273151 rounded to 5 decimal places?\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -52 + 57. Suppose z*q - 25 = l, 2*q + q = -5*l - 13. Suppose -i = -v - 2*i + 120, 488 = q*v - 4*i. What is the units digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = 3*m - 3 + 12*m**3 + 14 - 5 - 12. Does 32 divide l(2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13.3*-0.1.\nAnswer: -1.33","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -858*z**2. Let q(y) = -19*y. Let c(n) = 4*n. Let l(v) = 5*c(v) + q(v). Give l(g(s)).\nAnswer: -858*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 46789881 and 178.\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*q = -2*r + 8, -8013*q = -8018*q - 5*r - 50 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -24.1 + 24.6. What is the smallest value in 12, u, 0, -3\/4?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -47*m**3 + 41*m**3 + 110*m + 314*m - 424*m.\nAnswer: -6*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 4, m: 6}. What is prob of picking 2 z and 2 m?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 4\/14*-1 + 13731\/161. Suppose -3*c = -35 - r. Solve c = 3*v + 25 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -2*t**3 + 4*t**2 + 2*t. Let x(z) = 16*z**3 + 70*z**2 - 106*z - 28. Let w(m) = 12*p(m) + x(m). What is a in w(a) = 0?\nAnswer: -1\/4, 1, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -811.74403 times 0.1\nAnswer: -81.174403","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -261, -331, -529, -921, -1573, -2551?\nAnswer: -3921","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2.19 - 2. Let s = d + 16.81. Let z = 25 - s. What is the second biggest value in z, 1, -0.2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -63, -84, -99, -102, -87, -48, 21?\n\"Answer: u**3 - 3*u**2 - 19*u - 42","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 321 minutes before 4:09 AM?\nAnswer: 10:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3833368 divided by -11.\nAnswer: 348488","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/3? (a) 2\/113 (b) 484 (c) -12\/19\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ttt when three letters picked without replacement from tttttttttt.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 8887010 a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve b - 15 = 3*c, 55*c + 20 = 51*c - 4*b for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 66\/(-20) - (10 - (21 + -8))?\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*d + 95 = -g - 11*d + 19*d, 11*g - 13*g - 6*d - 110 = 0 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h**(-1\/6)*h**(2\/3)*(h**(-2\/21)\/h)\/h*h*h*h**7*h assuming h is positive.\nAnswer: h**(353\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -777 - 791 + 8*p**3 - 807 + 2375.\nAnswer: 8*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 2, h: 6}. Give prob of sequence uu.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 34560 a multiple of 160?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -4 (b) 4 (c) -7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 20213463\/180176 - 1795\/16. Is w less than or equal to 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -30 - -451?\nAnswer: 421","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.69 - 0.89. Suppose 18 + 6 = 3*b. Suppose -3*p + 3*o - b = -o, 0 = -4*p - o + 21. Put p, j, 3 in ascending order.\nAnswer: j, 3, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*((s**4\/s)\/s)\/s*s*s**12*s*s*s*(s*s**11*s)\/s*s**(-7)*s)**19 assuming s is positive.\nAnswer: s**456","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2630 or 2627?\nAnswer: 2630","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -15327*n**3 + 24*n**2 - 6*n - 130 wrt n?\nAnswer: -91962","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10484 is divided by 274.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 66429.39ml to litres.\nAnswer: 66.42939","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -38 + 38. Solve 4*g + 26 - 6 = q for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -69\/8144 and -1\/12566192?\nAnswer: 12566192","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -1*(0 + -6) - 2. Let w(r) = 19*r - 6. Let d be w(k). What is the highest common divisor of d and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 3\/10 of a microgram?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 47 - 42. Let d be (-6)\/(-7)*-14*6\/(-18). Solve 0 = d*l + l + m for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find p, given that 2*p + 4 + p**4 + p**5 + 2*p - 5*p**3 + 69278*p**2 - 69283*p**2 = 0.\nAnswer: -2, -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -111850 - -160287. List the prime factors of l.\nAnswer: 48437","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 401565 is divided by 401447?\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*d + 5 = l - 39, -2*d = -5*l - 7*d - 50 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2300 + 2324. Calculate the lowest common multiple of (-6)\/1*(-4)\/8 and o.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1492 and 271272829?\nAnswer: 373","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ut when two letters picked without replacement from {u: 2, t: 1, b: 2, p: 1, w: 1, s: 1}.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-76)\/19*1\/(-7)?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -7478, -29517, -51556?\nAnswer: -73595","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -b**2 + 59*b - 56. Suppose 0 = -3*a + a - 2*g + 116, 2*a = 5*g + 116. Let c be o(a). Solve c*l + 3*l = 10 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = 2*a + a**3 + 4*a**2 - 2*a - 2. Let c be s(-4). Is -3 < c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = 2*f**3 - f. Let k be v(1). Suppose 0 = n - 2 - k. Suppose -3*j - 4*p - n = 0, -4*j = -p - 22 + 7. Solve 2*w = 3*w - j for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2522701 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2*(108\/8 + -2). Let n = q - -8. What is the remainder when (n\/(-3))\/(3\/(-9)) is divided by 11?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2\/449 + -439\/2245. Let l = 114 + -249. Let b be (-3)\/l*6 - 0. What is the closest to 2\/7 in b, h, -1\/4?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s = 16, 2*f - 4*s = -5*s - 22. Find the common denominator of (27 - 6)\/(-7) - (-638)\/218 and f.\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -392861, -785731, -1178605, -1571483, -1964365?\nAnswer: -2357251","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1846, -7408, -16684, -29674?\nAnswer: -46378","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = t**2 - 5*t - 5. Let u be l(6). Let c(s) = 3*s + 1. Let r be c(0). Is u smaller than r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*u - 1186 + 916 = -9*u. Let x(g) be the first derivative of g**3\/6 - 3*g**2\/2 + 2*g + 2. Let d(l) be the first derivative of x(l). Calculate d(u).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 693 + -704 - (-4 - (3 + -6 + -60)).\nAnswer: -70","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -110*n = -120*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.06541 - 0.0654097067. What is c rounded to 7 decimal places?\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = 11*d**2 + 303*d + 46. Let p(c) = -32*c**2 - 910*c - 122. Give 3*p(y) + 8*z(y).\nAnswer: -8*y**2 - 306*y + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 282 is divided by 95?\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bpbp. What is prob of sequence pbpb?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y*y*y**2\/y)**(-17\/5)*y\/((y\/y**(1\/2))\/y)*y*y\/(y\/(y\/y**(1\/2)))*y)**(-14\/11) assuming y is positive.\nAnswer: y**(434\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -1221*t - 6140. Give l(-5).\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 206247, 205109, 203973, 202839, 201707?\n\"Answer: q**2 - 1141*q + 207387","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8679 is divided by 457?\nAnswer: 453","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 34118 + -13381. Let g = 14737 - n. What is g rounded to the nearest ten thousand?\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.0589 - 0.2975. Let j = -1.5756 - x. Let g = 0.037 + j. Which is the closest to -1? (a) -1\/9 (b) g (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in fifteen quarters of a decade?\nAnswer: 450","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:47 AM and 3:20 AM?\nAnswer: 153","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 1468760284 to the nearest integer?\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -10000111011011011001 (base 2) in base 11?\nAnswer: -349845","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (19 - 12 + 45)*(-l**4 - l**2 + l**2 + (-l**3 - 5*l + 5*l)*(l + 5 - 5)) to p*l**2 + v*l + n*l**3 + t + y*l**4 and give y.\nAnswer: -104","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -48*g + 1. Let t(r) = 3019*r - 14. Calculate t(q(z)).\nAnswer: -144912*z + 3005","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2432603 (base 7) to base 3.\nAnswer: -120210012212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -7*i**2. Let a(h) = -346564*h**2. Give a(k(s)).\nAnswer: -16981636*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -91*l - 1. Let f be p(1). Let n = 2 - f. Does 15 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -45\/1606 and 61\/47012.\nAnswer: 517132","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*c + 19 = 16 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -u**2 - u. Let p(d) = -17*d**2 - d. What is o(g) - p(g)?\nAnswer: 16*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-2)\/24)\/((-6)\/(-18)). Which is the closest to f? (a) 0 (b) -0.3 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = o**2 - 12*o + 29. What is h(3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 0.4 * 6\nAnswer: 2.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = 2*p + 1. Suppose 4*h - 28 = -3*q + 2*q, 0 = 3*q. Let m(w) = -3*w - 1. Let z(f) = h*n(f) + 5*m(f). Calculate z(3).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 169 is divided by 36?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*o + 6 = o. Let t be (21\/(-7))\/(o\/(-8)). Suppose 3*z - k - 59 = 0, -2*z + 18 + t = -5*k. What is the greatest common factor of z and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 + 5 = 2*o. Suppose o*w - 5*w + 60 = 0. Suppose 0 = -3*j + j + w. Is j a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -19, 10, -20, -6 in descending order.\nAnswer: 10, -6, -19, -20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2 + 4. Let v = -1023 - -1029. Let f be -4 + 0 + v + 12\/(-9). Sort 11, 1\/2, f, y in decreasing order.\nAnswer: 11, y, f, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -7533, -29816, -66963, -118980, -185873, -267648?\n\"Answer: -p**3 - 7426*p**2 + 2*p - 108","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -10*z + z**2 - 10*z + 2 + 15*z. Give a(5).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-92)\/(-10))\/(11\/55). Suppose 4*o - 4 = 0, -4*y + 0*o = 2*o + c. Is 6 a factor of (1 + -25)\/(9\/y)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 155*g + 3539 - 7820 - 9824. What is the remainder when 1999 is divided by g?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*k - 5*h + 25 = -k, -5*k - h - 23 = 0 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 15284, 15404, 15524?\n\"Answer: 120*y + 15164","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -2\/625?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 490.8 - 498.92. Round a to zero dps.\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -20956107*v**5 + 340*v**2 + 9083 wrt v.\nAnswer: -1257366420*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 97 is divided by 20.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 12 - 10. Suppose -a*r + 73 = -5*d, 5*r + 4*d + 104 - 303 = 0. What is the units digit of r?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**1)**41*(x**1)**23)**24 assuming x is positive.\nAnswer: x**1536","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -5*a**3 + 11*a**2 + 11. Let d(o) = 2 - 1461*o + 2*o**2 - o**3 + 1461*o. What is 11*d(w) - 2*l(w)?\nAnswer: -w**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 225394 to the power of 1\/6, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/(-4))\/((148\/56)\/37).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -223\/9652860 and 131\/4415670?\nAnswer: 415072980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = u - 3. Let z(d) be the third derivative of -d**6\/120 - d**5\/12 + d**3\/2 + d**2. Let k be z(-5). Suppose -4*t + k*t = -3. Give p(t).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -2*h**2 - 5*h + 2. Let y be n(-4). Let i = 9 + y. What is the common denominator of 59\/2 and (-342)\/(-24) - (-4)\/i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 3*z - 5*u - 6, -3*z - 4 = 5*u. Let p = -4 + z. List the prime factors of 2*8 - (p - -4).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -t + 0*t - 2*t**3 + 0*t**3 + t**2 + 0*t**2 + t**4 to d*t**3 + r*t**2 + y + o*t + x*t**4 and give d.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 9.15? (a) 4 (b) -0.4 (c) 0.03 (d) -1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20 - 3*b - 2*b + 4*b.\nAnswer: -b + 20","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1849\/7384 - -3\/7384. Which is the second smallest value? (a) 2\/9 (b) -88 (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 127 minutes after 7:11 PM?\nAnswer: 9:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 16 + -9. Let j = x + -3. Solve 0 = 3*m - 0*g - 4*g - 32, -5*m + 40 = -j*g for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 75729593?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 152 = -4*o, 234*o = 5*k + 246*o + 466 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1011011110011 (base 2) to base 4.\nAnswer: -1123303","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 70 = -5*y - 40. Let n = 21 + y. Which is bigger: -2\/23 or n?\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -53\/2474144 and -3\/6185360.\nAnswer: 12370720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.0206? (a) -0.09 (b) -11.6 (c) -2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*v**2 - 2025*v - 126280 = 0 for v.\nAnswer: -328, -77","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 26 + -25.72. Let y = n + -0.08. Which is the second biggest value? (a) -3 (b) y (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-126)\/35)\/(1\/(-10)) a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -451, -458, -439, -382, -275, -106?\nAnswer: 137","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = 75*r**3 + 17*r**2 + 389*r + 51. Let k(s) = 226*s**3 + 50*s**2 + 1168*s + 136. Let z(b) = -8*f(b) + 3*k(b). Find the second derivative of z(n) wrt n.\nAnswer: 468*n + 28","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -16 (base 13) to base 7.\nAnswer: -25","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 4, w: 2}. Give prob of sequence wp.\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 131 - 204. Let q = l + 144. Is q a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 58 divide 11000978?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -7 - ((-3)\/(-6))\/(1\/10). Let x = 23 + c. Calculate the highest common divisor of 77 and x.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 29*h - 75*h - 50*h.\nAnswer: -96*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:04 AM and 10:52 AM?\nAnswer: 408","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = 7*n + 39. Let c be r(-6). Let h be (-5)\/(-10)*-6*c. Let q(u) = -u**2 - 5*u + 3. Let z be q(-5). Solve d - z*t = -h, 4*t = 4*d + 14 - 2 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:32 AM and 3:21 PM?\nAnswer: 289","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*a + 5*f - 19 - 11 = 0, 4*a - 28 = -2*f for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -37 - -40. Put -4, -0.3, g, -0.4 in descending order.\nAnswer: g, -0.3, -0.4, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -i - 8. Let x be g(-11). Suppose x*o = 2*o + 18. Suppose -o*r + 13*r = -70. Calculate the highest common factor of 35 and r.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = 56*a + 1375. Does 14 divide v(35)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2\/3 (b) -2\/85 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 d when two letters picked without replacement from {x: 4, d: 2, w: 1, g: 4}.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = 2*u - 0*u, -3*u - 15 = -3*o. Let v = -4 + o. Put 3, v, -2 in descending order.\nAnswer: 3, v, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((b\/b**(-2))\/b**(-3\/8))**(-1\/76))**(-3\/2) assuming b is positive.\nAnswer: b**(81\/1216)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -26226.4 to the nearest ten thousand.\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -t**2 + t + 11. Let o(u) = u + 2. Let r be o(-3). Let g(l) = -l**3 - 1. Let h be g(r). Calculate the remainder when 32 is divided by v(h).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 91 minutes after 9:31 PM?\nAnswer: 11:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = 7*h**2 + h - 3. Let j be k(4). Let v = j - 3. Suppose -v = -o - o. What are the prime factors of o?\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) be the second derivative of -l**4\/12 - 2*l**3 - 4*l**2 + 7*l. Let d be t(-11). Suppose 14*i - d = 15*i. Put 5, -5, 3, i in descending order.\nAnswer: 5, 3, i, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-29)\/(-2) - 3\/6)*-5. Let r = 124 + s. What is the highest common factor of 27 and r?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = 26*d + 1. Let r(n) = 51*n + 2. Let b(v) = 4*r(v) - 9*z(v). Let c be b(-1). Let w = c - 12. Solve 0 = t + 2*t - i + 17, -5*t - 4*i = w for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -27, -37, -45, -51, -55?\n\"Answer: j**2 - 13*j - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -216, 13, -1, 1 in descending order.\nAnswer: 13, 1, -1, -216","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34*w = 86*w - 13728. Is 5 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = 9*x**2 - 20*x + 9. Calculate the lowest common multiple of p(3) and (-2 - -1)*(-49 + -1).\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u - 4 = 1. Suppose -2*w + 8 = -2*l, -2*l - 20 = -u*l - 5*w. Calculate the remainder when 8 + (0 - l) + 0 is divided by 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -115\/612 and -103\/72.\nAnswer: 1224","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(96)*2)\/(sqrt(2) + sqrt(98)*-1 + sqrt(98)) + (0 + (sqrt(432) + -2 + sqrt(432))*-2)**2.\nAnswer: -376*sqrt(3) + 6928","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -72004, -288617, -649620, -1155001, -1804748, -2598849, -3537292?\nAnswer: -4620065","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 355087 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = 72*q**2. Let n be s(-1). Let r = -16819 + 16851. What is the greatest common factor of r and n?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 167741.\nAnswer: 7, 31, 773","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -1403987, -1403983, -1403979, -1403975?\n\"Answer: 4*p - 1403991","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ubbe when four letters picked without replacement from ebbueubuueeeeuuee.\nAnswer: 3\/595","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -327 + 330. Suppose 0 = c - w - 10, -4 = 2*c - t*w - 25. What is the remainder when 20 is divided by c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 5 + 155?\nAnswer: 161","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0006341076 to six dps.\nAnswer: 0.000634","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -7972 + 19505. What is the tens digit of b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 1 - 1 + 10*f)*(-32*f + 7*f + 14*f).\nAnswer: -110*f**2 - 22*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 0.07*-2.6\nAnswer: -0.182","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -l**3 + 112*l**2 - 1027*l + 189. Calculate t(102).\nAnswer: -525","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000679646998 rounded to six dps?\nAnswer: -0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 665, 2639, 5935, 10559, 16517, 23815?\nAnswer: 32459","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.0604 + 67.4604. Let b = r - 67. Let s = 0.06 + -0.16. What is the closest to 5 in s, b, -1\/7?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-185629776)\/(-1104) + (-20)\/(-230) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 711 and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**19\/z)\/z*z*z*z**(1\/33)\/z*z*(z*(z*z\/z**(-22)*z)\/z)\/z**(-1\/77) assuming z is positive.\nAnswer: z**(10174\/231)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (-8032)\/(-3458) - 304320\/131872\nAnswer: 2\/133","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4343003 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 times -1083341?\nAnswer: 2166682","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*(f**0\/f)\/f)**31*((f\/(f*f**(-3)*f))\/f)\/(f*f**0) assuming f is positive.\nAnswer: f**(-31)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -123\/110890 and -33\/3689225.\nAnswer: 95919850","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express 22 + 20 + 39 - 164*x - 82 as z*x + c and give c.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 326, 23, -906, -2461?\n\"Answer: -313*p**2 + 636*p + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 356 + 10?\nAnswer: 366","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 5, 45, 87, 131?\nAnswer: 177","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2 and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11 + 2 - (3 - -1).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*o - 1 + 47*o + 25*o**2 + 55*o**2 - 107*o**2.\nAnswer: -27*o**2 + 45*o - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3*2\/(-3)*3\/(-2).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 17062\/7 + -2434. What is r in 64\/7*r - 46\/7*r**2 + 10\/7*r**3 - l = 0?\nAnswer: 3\/5, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = c**3 - 19*c**2 - 3*c. Let u(n) = -18*n**2 - 2*n. Give -2*i(b) + 3*u(b).\nAnswer: -2*b**3 - 16*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) be the first derivative of -9*u**2\/2 + 408. Let a(k) = -90*k. What is w(a(g))?\nAnswer: 810*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2193.\nAnswer: 3, 17, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 4, -476\/5, -1\/8, -0.5?\nAnswer: -476\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -b6671 - 5?\nAnswer: -b6676","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*g + g - 6. Suppose -9 + 21 = g*p. Calculate the remainder when 10 is divided by p.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z = -1191 - 184. Suppose -r + 6*r = z. What is the highest common divisor of r and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 13 + -3 + (7 - -4) - 20 - (-70 + -1)\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -u**3 + 6*u**2 + 5*u + 2. Suppose w - 2*w = -4. Suppose -2*b = -w*d - 28, -4*d - 7 - 3 = -b. What is the remainder when x(5) is divided by b?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -906 + 1749. List the prime factors of w.\nAnswer: 3, 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3835.743 times 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is -1605 bigger than -1605?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 151 (b) 3\/7 (c) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 421 is divided by 139?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-25)\/5*1 - -106. Let t = o - 98. Suppose 3*v - 12 = 5*l, 3 + 9 = 2*l + 3*v. Which is the fourth smallest value? (a) 0.2 (b) t (c) l (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 339 is divided by 28?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -69*k - 832 = -199*k + 66*k for k.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 898\/62163 - -1505868263\/62349489. Let l = 1\/6018 + i. Let w = -47609\/6 - -7913. What is the common denominator of w and l?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 860 to the power of 1\/8, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1.3, -26239, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 425.9523 decades to months.\nAnswer: 51114.276","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -31 - -50. Suppose -4*t + 10 = -2*t + 2*m, 4*t - l = -5*m. Let y be ((-2400)\/9)\/(-4)*t. What is y rounded to the nearest 1000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + -9 + (2 - 9) + 10.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5151997, -10303976, -15455945, -20607898, -25759829, -30911732, -36063601, -41215430?\nAnswer: -46367213","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v + 3*o - 17 = 0, 26 = -2*v + o + 23. Suppose -5*i + 3*k = 7*k - 8, 2*k - 4 = 3*i. Let n = 0 + i. Sort -1, 3, v, n in descending order.\nAnswer: 3, v, n, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*f - 4*q + 0*q + 129 = 0, 2*f - 2*q - 127 + 179 = 0 for f.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 35162.980133 - 35163. Round g to four decimal places.\nAnswer: -0.0199","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (9\/(-1))\/((-74)\/(284 - 210))?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (15\/4)\/((-54)\/1008*7).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 2*f - 88. Suppose -4*s - 15 + f = 0. Is s a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -19*n + 333. Give i(17).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (3*2\/(-10)*30\/36)\/1\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.548717 take away -7?\nAnswer: 6.451283","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1012 + 31?\nAnswer: -321","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*z + 3*n + 1, -32 = 5*z - 2*n - 2. Let m be (-1 - 2\/z)*10. Let g = -1 - -1. Sort 4, m, g in ascending order.\nAnswer: m, g, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -50135 + -2?\nAnswer: -50137","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*g**4 - 3*g**4 - 2*g**4)*((5*g - 3*g - g)*(-1 + 1 + 4) + 0*g + 3*g - 5*g).\nAnswer: -2*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -6, 139443 in ascending order.\nAnswer: -6, 0, 139443","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + 4*((-1*sqrt(297))\/(4*(sqrt(11)*2 + sqrt(11)) + sqrt(11)) + 1))**2.\nAnswer: 24*sqrt(3)\/13 + 601\/169","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.0439 + 4.9561. Which is the second biggest value? (a) -5\/2 (b) m (c) 0.6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) be the second derivative of 3*l**5\/80 - 7*l**4\/24 - 23*l**3\/24 - 3*l**2\/4 + 373*l + 4. Suppose b(t) = 0. What is t?\nAnswer: -1, -1\/3, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 498551 rounded to the nearest 100000?\nAnswer: 500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -532 - -553. Suppose 27*s = g*s + 9942. Is s a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 399*h**4 + 3*h**2 - 2135*h - 100*h**4 + 35*h**2 - 38*h**2 wrt h.\nAnswer: 3588*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.58 + -0.28. Let t = 7.5 + -1.5. Let a = -3 + t. What is the biggest value in a, -4\/7, b?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*i**2 - 2*i**2 + 5 + 3*i**2 - 5*i**2 + 13*i**2 + 2*i to t*i**2 + m + n*i and give t.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dc when two letters picked without replacement from {c: 18, d: 1}?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 7452 and 588.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 88 - 69. Let z(c) = 37*c**2 - 29*c**2 - o*c**2. Let j(x) be the second derivative of x**3\/6 + 2*x. Give z(j(g)).\nAnswer: -11*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1708252 is divided by 7571.\nAnswer: 4777","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*j + 5 = -15*j + 5*o, -2*o - 3 = 3*j for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -221*i. Let r(o) = 8*o**2 + 3*o + 3. Let f(a) = 19*a**2 + 7*a + 7. Let p(z) = 3*f(z) - 7*r(z). Calculate p(g(u)).\nAnswer: 48841*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = 63*g**2 + g - 5669. Let j(f) = -11*f**2. What is d(j(n))?\nAnswer: 7623*n**4 - 11*n**2 - 5669","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 2740279677 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express -569*o**2 + 209*o**2 - 294*o**2 - 1 - 516*o**2 in the form h*o + a + s*o**2 and give a.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve f + 34 = 5*a - 49, 4*a - 35 + 3 = 32 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = 9*o**2 + 2*o + 7. Let h(w) be the third derivative of 2*w**5\/15 + w**4\/12 + w**3 - 3*w**2. Let z(i) = -7*h(i) + 6*t(i). Factor z(r).\nAnswer: -2*r*(r + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 86, 91, 108, 149, 226, 351, 536?\n\"Answer: 2*v**3 - 6*v**2 + 9*v + 81","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = w**3 + 2*w**2 - 11*w - 7. Let c be a(-4). Suppose 0 = -7*g + c*g + 12. What is the greatest common divisor of g and 15?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*i**4\/5 - 13*i**3\/5 + 21*i**2\/5 + 38*i\/5 + 8\/5 = 0 for i.\nAnswer: -4, -1, -1\/4, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-6)\/15)\/(4\/20). Let t(w) = 2*w**2 + 4*w + 3. What is t(s)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -11\/156 + 7577\/156. Find the common denominator of t and ((-2)\/9)\/(((-560)\/(-21))\/(-10)).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1058109 and 50088.\nAnswer: 8464872","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (12\/(-10))\/(52\/(-5850)) is divided by 46?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10358844.\nAnswer: 2, 3, 137, 6301","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 81 and 12970746.\nAnswer: 38912238","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 2216379648 to the nearest integer?\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u - 157 = -4*p - 36, 0 = -4*p - 3*u + 145. Let t = 76 - p. What are the prime factors of t?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t = -2*t + 5*s + 230, 3*t - 270 = -3*s. Calculate the remainder when t is divided by 29.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*y - 37 = -2*q + y, 4*q + y = 65. Suppose q*p + 20 = 11*p. What is the third biggest value in -3, p, 11?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p - 4 + 12 = 0. Let v = 40 - p. Does 18 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -4852 and -0.023286.\nAnswer: 112.983672","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -14 - 6*v**2 - 4*v**3 + v + 13 + 6*v**2 - v**2. Determine m(-2).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.04 times 167\nAnswer: 6.68","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.1253067729 to four decimal places.\nAnswer: -0.1253","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-1)\/(-3))\/((-1)\/2). Let d = -0.18 - -1.18. Suppose -3*j - 1 + 3 = n, 4*j + 6 = 3*n. Which is the nearest to d? (a) p (b) n (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*d**2 - 4*d**2 - 3*d**2 + 6*d**2.\nAnswer: 3*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 2079346689 to the power of 1\/10, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*l + 14 = -3*x, -l - 4*x = -5*l - 28 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-12*(-26)\/2808)\/(104\/72)?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) be the first derivative of -w**3\/15 + 71*w**2\/10 - 6979. Factor r(x).\nAnswer: -x*(x - 71)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) be the second derivative of -m**3\/2 - 13*m**2 - 12*m. Is s(-12) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22*b + 6*b - 84 = 0 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find x such that 3*x**5 + 384*x**4 + 735*x**3 - 2634*x**2 + 1512*x = 0.\nAnswer: -126, -4, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -d**2 - d - 115. Let y(h) = 58. Determine 2*w(v) + 5*y(v).\nAnswer: -2*v**2 - 2*v + 60","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 8606 + -7308. Calculate the greatest common factor of 132 and d.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -v**2 + 29*v + 63. What is the lowest common multiple of 280 and w(0)?\nAnswer: 2520","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 55*k*r**6 - 232*k*r + 51*k - 141952*r**6 - 50*r**2 + 2*r wrt r?\nAnswer: 6600*k*r**3 - 17034240*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 14275*p**3 - 33*p**2 + 89899148*p wrt p.\nAnswer: 85650*p - 66","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) be the third derivative of x**5\/60 - 765*x**2. Let q(c) be the first derivative of -3*c**2 - 1. Determine l(q(y)).\nAnswer: 36*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -15 (b) -0.5 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -y**3 - 5*y**2 + 7*y + 4. Let x be q(-6). Let p = 3022 - 1690. Let t = p + -1331.9. Which is the smallest value? (a) x (b) 17 (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) be the second derivative of 1\/3*t**3 + 4*t + 1\/2*t**2 + 0. Let i(v) = 7*v - 417. Let y be i(59). Calculate l(y).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = 4*v**3 - 26*v**2 - 47*v + 8. Determine k(-6).\nAnswer: -1510","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = 4*b**2 - 36*b + 55. Let o be m(6). Suppose -2*a = -6*a - 68. Do a and o have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + 12 = -0*z. Suppose z*n = 2*n. Let y be -1 + (-1 - 32\/(-14)). What is the closest to y in 4, n, -1?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5189.179 litres in millilitres?\nAnswer: 5189179","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 16116 and 2528?\nAnswer: 316","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1778 = -3*n - 5*u, 0 = -5*n - 2*u + 3442 - 485. Suppose -4*o + 0*p - p = -474, 0 = 5*o + 2*p - n. What is the remainder when o is divided by 20?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (3 - 1)\/((-4)\/(-53662)*7) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 250 a factor of 154970250?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -36121, -36118, -36115, -36112, -36109?\n\"Answer: 3*b - 36124","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 43 + -42.8. What is the smallest value in -0.2, l, 15?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*c = -4*l + 6, 4*c + 7*l = 9*l - 16 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1532558 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: Evaluate (-8)\/36*(-2)\/3*-3.\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (135\/522*29)\/(10\/72)\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = i**2 - 22*i + 2. Let k be b(22). Solve k = -5*o + 7 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) be the first derivative of w**2\/2 + 4*w + 1177. Let b(x) be the third derivative of -x**3\/6 - x**2. Determine -5*b(c) - t(c).\nAnswer: -c + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) be the first derivative of 3*p**2\/2 - 3*p + 2. Let n(d) = -4*d + 4. Let z(u) = 3*f(u) + 2*n(u). Let y be z(2). Is 2 at least as big as y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*d**2\/11 - 1290214*d\/11 + 29675980\/11 = 0. What is d?\nAnswer: -645130, 23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/(((-1)\/(-2))\/(3\/(-6)))\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 - 11 = -2*n. What is the units digit of n?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v = 4*d - 2044, -5597 = -5*v + d - 2175. What is the highest common divisor of v and 19?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -8 - -28. What is the least common multiple of a and 12?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 468561*s**4 + 121340936*s**2 wrt s.\nAnswer: 11245464*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r**4 + 135362*r**3 + 44339266*r**2 + 88272438*r + 44068536 = 0. What is r?\nAnswer: -324, -1, 68007","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:19 PM and 4:42 AM?\nAnswer: 323","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -113, -3, -2\/13?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -3*v**2 + 2*v + 165. What is j(-7)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express 225*c**4 + 300*c**4 - 20*c**4 + (-2*c + 0 + 0)*(7*c**3 + 3*c**2 - 3*c**2) in the form l*c**2 + m*c + n + v*c**4 + r*c**3 and give v.\nAnswer: 491","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 - (-2)\/(-6) - (-168)\/(-63)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11583\/13365 - (-8)\/(-30).\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ssq when three letters picked without replacement from {q: 2, s: 3}?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 1937 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) be the third derivative of -z**4\/24 + 7*z**2. Let o(x) = -2*x**2 - x. Give -o(m) + u(m).\nAnswer: 2*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Determine h, given that 2*h**2\/3 + 13036*h\/3 + 21242162\/3 = 0.\nAnswer: -3259","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = 19*g - 4. Let w = 163 - 168. Let c(n) = 13*n - 3. Calculate w*k(p) + 7*c(p).\nAnswer: -4*p - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -77\/9258 and 13\/9684?\nAnswer: 14942412","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b + 28 = r - 4*b, -2*b - 28 = -r. Let d = -25 + r. Suppose d*h - 2*q = 25, q = 3*q + 4. Which is smaller: h or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 552371 and -5.1.\nAnswer: -2817092.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -3 + -545554145?\nAnswer: -545554152","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) be the second derivative of d**3\/3 - d**2 + 21*d. Suppose p + p = -6. Give a(p).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12.79024 rounded to the nearest 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (107\/(-214))\/((-2)\/6 - 11\/(-6))?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 20*t**2 - 1944*t - 20972.\nAnswer: 4*(t - 107)*(5*t + 49)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -3*o. Let a(y) = 0 + 18*y**2 + 0 - 16*y**2. Determine a(r(p)).\nAnswer: 18*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence koka when four letters picked without replacement from kkkkxexkkexkxxoakk?\nAnswer: 1\/1020","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.4, 1.5, 1\/9, -1.\nAnswer: -1, -0.4, 1\/9, 1.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = a**3 + 12*a**2 - 13*a + 11. Let v be (-7)\/9 - 18\/81. Let l = v - 12. Let j be w(l). Solve 3 - j = -4*r for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) be the second derivative of w**3 - w**2\/2 - 6*w. Let z be 6\/390*335 - 2\/13. Give h(z).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -1, 6, -905, 1, 0, 15.\nAnswer: -905, -5, -1, 0, 1, 6, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (-4837)\/(-3455)*(3 + -23)\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(3*sqrt(88) + sqrt(88)) + sqrt(88) + 6*sqrt(88)*1)\/((2*(sqrt(968) - sqrt(8)) - sqrt(8)) + (sqrt(8) - 5*sqrt(72)\/sqrt(9))).\nAnswer: -3*sqrt(11)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 - (13 + (-3 - 27))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -123 + ((-21)\/4 - 15\/(-60)). Let f = s - -12051. Is f composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -12 + 11. What is the third biggest value in -2\/11, 5, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2657111*w - 2304376 wrt w.\nAnswer: 2657111","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -v**2 - 7*v - 7. Suppose 0 = 2*f - 25 - 11. What is the remainder when f is divided by c(-4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-47)\/n)\/n*n**(3\/16)*n*((n\/(n**(-6)\/n))\/n)**(-17) assuming n is positive.\nAnswer: n**(-2669\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2.03 - -0.4.\nAnswer: 2.43","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 47 - (50 + -87 + 45).\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -58990.9692205 + 58991. What is a rounded to three decimal places?\nAnswer: 0.031","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) be the second derivative of -1\/12*v**4 - v + 0 + 0*v**2 + 0*v**3. Let g(f) be the first derivative of f**3\/3 + 2. What is o(g(m))?\nAnswer: -m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 70 - 15 - 55 + 62*b**3.\nAnswer: 62*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = n**2 - 1. Let g(r) = -2*r**2 - 2*r + 4. Let o(a) = g(a) + 5*q(a). List the prime factors of o(-1).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 - -3900.0063\nAnswer: 3899.0063","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wwnw when four letters picked without replacement from {w: 13, n: 6}.\nAnswer: 143\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 45323314.\nAnswer: 2, 22661657","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = 1670*w + 11695. Calculate h(-7).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4.77, 1\/7, -0.0678 in descending order.\nAnswer: 1\/7, -0.0678, -4.77","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = a**2 + 1. Let p be k(-1). Solve 0 = t + p*t - 9 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 608?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -6*o - 4. Let j be g(-3). Let c(i) = i - 2. Let p be c(6). Let k = j + p. What is the lowest common multiple of k and 48?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -c - 3 = -3*g, 11*g = -365*c + 364*c - 17 for c.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t = 4*v, t - 5*v = 3*t - 6. Suppose t*z - 10*z = -14. Let l = 7 - z. Solve 4*d + 14 - 2 = l for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (49\/14 + -5)*4?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 38\/5 + (-15)\/25. Suppose 5*d - 13 = k. Suppose -3*x + 2 + d = 0. What is the remainder when 3 is divided by x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -4111\/16412 + 2\/4103. What is the second smallest value in 2\/13, 3\/8, s, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1\/2)\/((-3)\/6).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1.813 + -10142.813. Which is smaller: x or -0.1?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -2277*k - 51. Let x be y(-10). Let r = x - 3180539\/140. What is the common denominator of 111\/14 and r?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -6959 or -6857?\nAnswer: -6959","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*n - m - 28, -16 = 4*m - 0*m. Find the second derivative of -10*u - 9*u + u + n*u**4 wrt u.\nAnswer: 72*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = 6*c**2 - c**2 + 3 - c**3 - 2*c + 2*c**2. Let j be i(7). Let b(s) = -s**3 - 11*s**2 - 4*s - 9. List the prime factors of b(j).\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10946981219 + 0.03?\nAnswer: 10946981219.03","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5 + s**2 + 5*s**2 + 178*s + 135*s - 7.\nAnswer: 6*s**2 + 313*s - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -115274, -235025, -354776, -474527?\nAnswer: -594278","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2814.96 - -2815. What is the smallest value in 0.02, -8, v?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*l + 0*l + l)*(6 - 1 - 3)*((11 + 4*l - 11)*(0 + 0 - 1) + (l + 3*l - 3*l)*(-2 + 2 + 1) - 2*l - 3*l + 6*l) to the form b*l + i*l**2 + k and give k.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -91\/34 and 372\/8*1 - 1*4.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 97 + -44. Let n = c + -50. Suppose -3*l - 5*z + 1769 = 0, -n*z + z + 2923 = 5*l. Is l prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2084497 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hhhppphphphhp. Give prob of picking 3 h.\nAnswer: 35\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -s + 36. What is the smallest common multiple of z(12) and 33?\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 1, n: 3}. Give prob of sequence nni.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (38 - (-4 - -5)) + -55 + (48 - 1)\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (2\/4 - 3)*-6. Let m be 48\/9 + (-1)\/3. Solve 0*d = -m*d - h for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 56 and 272?\nAnswer: 1904","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 23766*q - 23766*q - 376*q**2 - 319*q**2.\nAnswer: -695*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 1155899 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -13 + 8. Sort -6, c, -2 in descending order.\nAnswer: -2, c, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -33*d**2 + 66*d**2 - 12*d**2 - 2 in the form r*d**2 + m + o*d and give m.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 40\/10 + -1*5. What is the remainder when o\/(1\/6*2) - -102 is divided by 21?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = 26*o**2 + 16*o - 66. Let l be g(4). Let y = -44 - -90. What is the greatest common divisor of l and y?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.4 + 0.2. Let g = 4.183 - -0.817. Let n = 78.97 + -79. Which is the closest to n? (a) d (b) -4\/5 (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -32.9 + 32.900958. What is m rounded to 4 decimal places?\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 933*h**3*v**3 - 494*h**3*v**2 + h**3 wrt v?\nAnswer: 5598*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6437 = -958*k + 276*k - 14023 for k.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4540?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 59 a factor of 4932931?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.11 - 18.11. Let m = d - -17.7. Let z = -34\/3 - -12. Which is the nearest to z? (a) 2\/7 (b) -3 (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = 8*q. Let i(p) be the second derivative of 0 + 0*p**2 - 12*p - 1\/12*p**4 + 0*p**3. Calculate j(i(d)).\nAnswer: -8*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 2, t: 3, e: 6, u: 1}. What is prob of sequence et?\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*o = 3*o - 3. Is o > -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 252 divided by 61.\nAnswer: 252\/61","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put 164, 5, 2 in descending order.\nAnswer: 164, 5, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(110)*-2)\/sqrt(10))**2 - (sqrt(11) + -2*sqrt(176)).\nAnswer: 7*sqrt(11) + 44","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 172438 and 42.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 5.89 times -2017\nAnswer: -11880.13","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) be the second derivative of y**6\/135 + 2*y**5\/45 + y**4\/18 - 27*y. Determine f so that k(f) = 0.\nAnswer: -3, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 12*s**2 + 2 - 43*s**2 - 10*s**2 + 2*s**3 - 3*s + 2*s in the form j*s + y + u*s**3 + v*s**2 and give y.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((o*o*o**3)\/o)\/o)\/o**(-1\/9))\/(o**(-6)*o**(2\/11))*(o\/o**(1\/4))\/((o*o*(o\/(o*o\/o**(2\/3)*o*o))\/o)\/o)*o\/(o\/(o*o**(-6)))*o**1 assuming o is positive.\nAnswer: o**(3173\/396)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -2*u**3 + u**2 - 1. Let c(k) = k**2 + 16*k + 16. Let v be c(-13). Let t = v - -24. Give j(t).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = 31*v**2 + 7*v - 7. Let n(u) = -24*u + 90*u - 21*u**2 - 26*u - 22*u - 23*u + 5. Give 7*n(a) + 5*t(a).\nAnswer: 8*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = q + 251. Let l(h) = -2*h - 501. Let y(x) = 4*l(x) + 9*w(x). Let k be y(0). Suppose f - 5*f + k = u, -4*u + 75 = f. Does 21 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 0 + (2 - 1) - -2. Let g = -2 + x. Let p = 6550\/7 - 936. Is p equal to g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = 19*l. Let m(n) = -24*n - 10*n + 29*n. Give a(m(v)).\nAnswer: -95*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -5*h**3 + 3*h**2. Let i(g) = 111*g**2 - 81*g**3 + 150*g**3 - 106*g**2 - 79*g**3. Determine -10*a(y) + 6*i(y).\nAnswer: -10*y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = h - 2. Let s(r) = -r**3 + 17*r**2 + 19*r + 3. Let d be s(18). Let x be 16\/(-56) - (-90)\/d. Let q(y) = -3*y + 5. Determine x*q(z) + 10*j(z).\nAnswer: -2*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 865200.\nAnswer: 2, 3, 5, 7, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 66 is divided by (-2)\/4*(-34)\/1?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((40\/28)\/(4\/2))\/1?\nAnswer: 5\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 251 + -361. Let n be 2*1 - (-240)\/g. Put n, -5, 1 in ascending order.\nAnswer: -5, n, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*l**5 + 0*l**5 - l**5 + (-4*l**2 - 3*l**2 + 5*l**2)*(-l**3 - l + l) - 199*l**5 - 120*l**3 + 120*l**3 + (0*l + 0*l + l)*(1 - 1 + 4*l**4).\nAnswer: -196*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*o + 19*o = 12. Suppose o*v = 8*v - 8. Suppose -3*m + 20 = p - 6*p, 0 = 2*p + 3*m - 13. Sort v, p, 4 in ascending order.\nAnswer: p, v, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.5, 2, -4.8, -2\/7?\nAnswer: -4.8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = 4062*r + 105611. Determine v(-26).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = 2*h**2 - 17*h + 19. Let g be n(7). Let o = -5.3 - -5.6. What is the fourth smallest value in -0.3, g, 34, o?\nAnswer: 34","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -b**2 + 1. Let h(r) = -r**2. Let s(v) = 22*v**2 - 12. Let d(x) = -8*h(x) - s(x). Let n be (0 - -2) + -3 - 0. Give n*d(q) + 12*a(q).\nAnswer: 2*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32*t + 5 = -27*t. Suppose 0 = -o + 2*z - 1 + 9, -4*o = 3*z + t. Suppose 0 = o*g - 4*g + 48. What is the units digit of g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = p**2 - 18*p - 15. What is the tens digit of k(22)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.28 + 2.72. Let t = 0.3 - -0.7. Which is the nearest to -1? (a) 4 (b) r (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2\/(3\/(-2) + 2). Suppose 22 - 2 = k*u. List the prime factors of u.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-180)\/(-144)*(-1372)\/245?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3028.\nAnswer: 2, 757","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1.1 - 0.1. Let q = 51 + -49. What is the closest to h in q, -3, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -10*a + 15. Let g = 66 + -68. Let t(s) = s - 1. Let w(p) = g*t(p) - i(p). Find the first derivative of w(v) wrt v.\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*s + 5 - 5 - 3*s + s + 3*s - 2 + 2 + s + 2 - 2*s - 2 + (-2*s - 3 + 3)*(-3 - 1 + 5) in the form n*s + i and give n.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 1, x: 4, m: 2, e: 2, w: 1}. Give prob of picking 2 e.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 14063 and 648333?\nAnswer: 287","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-7237880)\/2526953 - ((-6)\/2 + -1). Let s = -15\/9482 + u. Find the common denominator of 21\/2 and s.\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1926 - -0.3?\nAnswer: 1926.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21 = -5*k - 49. Let j = -5 - k. What is the highest common factor of 27 and j?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 86268 divided by 1106\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Work out 24904.64 * -4.\nAnswer: -99618.56","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0, -5\/26, 7, -12, -734?\nAnswer: -12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -28*z**3 + 114*z**2 - 341*z + 1. What is a(3)?\nAnswer: -752","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -928, -871, -828, -805, -808, -843, -916, -1033?\nAnswer: -1200","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 529868 is divided by 83.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) be the second derivative of -y**5\/20 - 11*y**4\/12 - 29*y**3\/6 + 4*y**2 + 33*y. Let m be t(-6). Solve -5*f + 3 + m = 0 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 148\/63 + -47\/21. Put 0.6, 1\/8, 0, g in decreasing order.\nAnswer: 0.6, 1\/8, g, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3793425?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 16.5121 millimeters in kilometers?\nAnswer: 0.0000165121","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(sqrt(75)*1 - sqrt(75)) - (-4 + sqrt(75) + -1))**2*4.\nAnswer: -200*sqrt(3) + 400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -2 - (0 + -1 + -6). Suppose -5 - 5 = -v*a. Find the third derivative of -4*i**2 - 2*i**3 + i**2 + 0*i**a wrt i.\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-3 + 4 - 3)*(2 - 5 + 1) + 202 - 230 + 103)*(2*b**2 + b**2 - 7*b**2).\nAnswer: -316*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1293, 5289, 11987, 21387, 33489, 48293?\nAnswer: 65799","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 378 and 52038?\nAnswer: 156114","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is (14 - (-12971)\/(-28))*(-8)\/6 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.1 and -18210?\nAnswer: -1821","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 1718499 to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 140730*b*l*o**3 + 2*b*l*o**2 - 3*b*o**3 - l*o**3 - 22709*l*o**2 + 11*l wrt o.\nAnswer: 844380*b*l - 18*b - 6*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 5232 - 3573. List the prime factors of c.\nAnswer: 3, 7, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 22933896 and 37848.\nAnswer: 1992","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 445 + -445. Let f(p) = -p - 5. Let z be f(-5). Suppose -5*c + 20 + z = k. Solve -v = 4*m - 3, m + c*v = -m - 2 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*a**3 + 11528*a**2 - 34636*a - 46160.\nAnswer: 4*(a - 4)*(a + 1)*(a + 2885)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*f**4 + 2*f - 7922 + 7969 - f**4)*(-1 + 4 - 4) + (6*f + 4*f - 5*f)*(-2*f**3 + 0*f + 0*f) to r*f**3 + z*f**4 + h*f + q + x*f**2 and give h.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -1, -92320, -5, 3 in decreasing order.\nAnswer: 4, 3, -1, -5, -92320","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(sqrt(16)\/(sqrt(4)\/sqrt(2)) + 4))**2.\nAnswer: 256*sqrt(2) + 384","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + q + 5 = 0, 0*q + 15 = 5*q. Suppose 4*d - s*d = -5*d. Suppose d*p = -2*p + 3*u + 1633, -1648 = -2*p - 2*u. Is p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 32*r = 27*r + 40 for r.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1937.6048 + -1935. Round z to two decimal places.\nAnswer: 2.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:22 AM and 7:28 AM?\nAnswer: 186","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 10.1 - 10. What is the nearest to m in 3\/2, -2\/9, -0.3?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*j + 21 + 15 = 0. Determine d so that 1523*d**4 - 1525*d**j - d**3 + 4*d**2 - d**3 = 0.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -125*i**2 - 192*i - 6. Let v(o) = 126*o**2 + 191*o + 4. Let d(b) = 2*j(b) + 3*v(b). What is the second derivative of d(k) wrt k?\nAnswer: 256","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 + 3 + 55*d - 67*d)*(-d**3 - d**3 + 0*d**3) to c*d**2 + u*d**3 + s + m*d + k*d**4 and give u.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -554 - -1057. Is m prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*-2*(1 + 1 + sqrt(1584) + 3).\nAnswer: -24*sqrt(11) - 10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1171944 to the nearest integer?\nAnswer: 105","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -70*p = -72*p + 8640. List the prime factors of p.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = 4*b - s - 0*s, 4*s + 20 = b. What is the greatest common divisor of 36 and b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (18\/(-2))\/((-78291)\/(-1104773)).\nAnswer: -127","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 10*g**3*l**3 - 114290*g**3*l**2 - g**2*l**3 + 7*g**2*l**2 + 2040*g*l**3 + 4*g*l - 6*l**3 wrt g.\nAnswer: 60*l**3 - 685740*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 528 and 60.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f = 6 + 6. Factor 11*v**2 - 4*v**4 - 8*v - 306*v**f + 314*v**3 + 5*v**2 - 12.\nAnswer: -4*(v - 3)*(v - 1)*(v + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*b - 15*b = 12. Suppose -5*y = -20, -3*y = 4*c - 0*y - 52. Calculate the lowest common multiple of 12\/30 - (-16)\/c and b.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5415411 (base 6) in base 14?\nAnswer: 6d3b1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -v**2 - 5*v - 6. Let s be (-6 - -7)*(5 - 0). Let q = 2 - s. Let j be w(q). Put j, -3, -1 in descending order.\nAnswer: j, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 12255571, 24511145, 36766719, 49022293?\n\"Answer: 12255574*n - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 587 minutes before 5:34 AM?\nAnswer: 7:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find f, given that 4*f**2\/3 - 6400*f + 19196\/3 = 0.\nAnswer: 1, 4799","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*a**2 - 2 + 6*a**2 - 2.\nAnswer: a**2 - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of s**3*t**3*z + 15*s**3*t**2*z - s**3*z - s**2*t**3*z + 117*s**2*z wrt s.\nAnswer: 6*t**3*z + 90*t**2*z - 6*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = 382*a. Let k(v) = v**2. Calculate x(k(s)).\nAnswer: 382*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3797.\nAnswer: 3797","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = 2*h. Let n(z) = -5*z**2 + 149. Calculate m(n(q)).\nAnswer: -10*q**2 + 298","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -18.59 - -18.59. Let o = -9.23 + 0.23. Is o <= h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*b + 2*u - 35 = 0, 4*b = 23*u - 36*u + 181 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -11778 divided by 11778?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 84077.5 years to millennia.\nAnswer: 84.0775","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = 175*f - 334. Give b(2).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bbbbhbbbbbbbbhbbbbb. Give prob of picking 3 b and 1 h.\nAnswer: 20\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 908098?\nAnswer: 2, 349, 1301","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 514 - 530. Let y be -5*4\/(12\/9). Is n > y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 85, 238, 493, 850?\n\"Answer: 51*g**2 + 34","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -18452.3721 rounded to the nearest 100000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8*m - 5*m + 4*m)*(-2 - 1 + 1)*(1 - 4 + 4)*(-3 - 3 + 4)*(1 + 5 - 3)*(7*m + 5*m**2 - 7*m).\nAnswer: -540*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k - 16*k + 192 = 0. Find the common denominator of 17\/38 and (2\/11)\/(k\/196).\nAnswer: 418","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 88 + (10 - 64) + 78 + -3.\nAnswer: 109","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d\/(d\/d**(2\/21)))\/d**13)\/((d\/(d*d**(1\/27)*d)*d)\/d*d*d**2) assuming d is positive.\nAnswer: d**(-2810\/189)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 5\/2*(-8)\/(-10). Let a(q) = 2*q**2 - q - 1. What is a(h)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = 2*d - 1. Let u = -1059 + 660. Calculate the remainder when u\/(-6) + -2 + (-1)\/(-2) is divided by g(6).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = d + 1. Suppose -4*p + 4*y - 196 = 0, -3*p = p + 3*y + 182. Let f = -45 - p. Let r(s) = -s**2. Calculate f*r(b) - l(b).\nAnswer: -2*b**2 - b - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -30 + 10*y - 27 + 9*y + 64. Is i(9) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -26 - -53\/2. Let u = -0.11 + 0.61. Let n be ((-27)\/15)\/(165\/(-275)). What is the closest to k in n, u, 4\/9?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = 15*a**3 - 3*a**2 + 5*a - 7. Let o be w(2). Let c = -80 + o. What is the tens digit of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 456258?\nAnswer: 2, 3, 11, 31, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.035910243 and -24950.\nAnswer: -24949.964089757","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is u in -3*u**5\/5 - 6*u**4\/5 + 27*u**3\/5 + 6*u**2\/5 - 24*u\/5 = 0?\nAnswer: -4, -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (-24)\/(-18) + -1 - (-2)\/(-6)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3*b*c**2*u*w - 2*b*c**2*u + b*u*w - 22*c**2*w + 12*c*u*w - 2*c*w - 2*u*w wrt c.\nAnswer: -6*b*u*w - 4*b*u - 44*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -4789, -38377, -129529, -307021, -599629, -1036129, -1645297, -2455909?\n\"Answer: -4796*x**3 - 6*x**2 + 2*x + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 195965 is divided by 191084.\nAnswer: 4881","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 84227981 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = f**3 - f**2 - 3*f + 1. Let x be r(2). Suppose -q = -2*w - 23, 4*q - 25 = 5*w + 25. Let p = 4 + w. Is x at most p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:44 PM and 1:08 AM?\nAnswer: 324","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*r + 61*z - 54*z + 8, -r + 14*z = -52 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*l**4 - 4*l**3 - 10*l**2 + 12*l.\nAnswer: 2*l*(l - 3)*(l - 1)*(l + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (6\/(-14))\/(((-2265)\/9513)\/((-5)\/18))?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -3, -5, 3 in descending order.\nAnswer: 5, 3, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -31\/34884 and -53\/1890.\nAnswer: 1220940","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from selenzd. What is prob of sequence sez?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 266, 531, 796?\nAnswer: 1061","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -i - 3. Let c(k) be the first derivative of -k**2\/2 - 5*k + 16. Calculate -3*c(x) + 5*g(x).\nAnswer: -2*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 190 - 195. Let v = 0.8 - 1. Sort v, s, 2\/5.\nAnswer: s, v, 2\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*u - 5 + 5)*(-3*u + u + 0*u) + (3*u - 4*u + 4*u)*(-276 - 314 + 415)*(6*u - 3*u - 2*u).\nAnswer: -531*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 18151707 a multiple of 1285?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 51 minutes after 9:48 PM?\nAnswer: 10:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2\/3 - 590\/(-390)*-7. Let o = h + 2039\/195. Find x, given that 0*x**2 - o*x**3 - 32\/15*x**4 + 6\/5*x**5 + 0 + 0*x = 0.\nAnswer: -2\/9, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 47 + -66. Let n = 19 + v. Solve f + f = n for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2045 to the power of 1\/2, to the nearest integer?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 48.964264 rounded to the nearest integer?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -3203*i*t + 2532*i + 1 wrt t?\nAnswer: -3203*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n - 3*j + 1446 = -3784, -5*n - 6547 = j. Which is smaller: n or -1317?\nAnswer: -1317","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 6, -2, -30, -90, -194, -354?\n\"Answer: -2*v**3 + 2*v**2 + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 4\/7, 6, -2\/7, -2 in decreasing order.\nAnswer: 6, 4\/7, -2\/7, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -2331*r. Let v(b) = 30*b + 14. Let d(f) = -17*f - 8. Let p(c) = 7*d(c) + 4*v(c). Calculate p(t(s)).\nAnswer: -2331*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xhubphufuxh. Give prob of picking 2 u.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = 16*h + 307. Let c be x(-19). Solve -i + 2 - 4 = c*y, 3*y - 18 = 3*i for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 212 and 2019989?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/(-2))\/(((-24)\/4)\/18)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 0.362*0.9\nAnswer: 0.3258","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*d**2 + 5*d - 60.\nAnswer: 5*(d - 3)*(d + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -35 (base 10) in base 8?\nAnswer: -43","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find d, given that -3*d**2 + 79698*d + 41922936 = 0.\nAnswer: -516, 27082","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = 8*a**2 - 6*a + 3. Let m be t(4). Let n = 751\/7 - m. Let f = -4626 + 4621. What is the second smallest value in -1\/7, n, f?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 88525 - 59535. What is the units digit of q?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*u - 5*j + j + 236, 3*j - 447 = -4*u. Let f = u - 112. Let z(q) = 7*q + 8. Let r(l) = -15*l - 17. Let n(s) = -6*r(s) - 13*z(s). What is n(f)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xppwwza. Give prob of picking 1 p, 1 w, and 1 a.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -17*h**2 + 2. Let t(z) = 28*z**2. Let n(q) = 5*q**2. Let p(r) = 16*n(r) - 3*t(r). Calculate w(p(b)).\nAnswer: -272*b**4 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -5*o**2. Let i = 17 + -20. Let h(d) = 4*d**2. Let s(b) = i*h(b) - 2*u(b). Let k(n) = 12*n**2. Determine s(k(v)).\nAnswer: -288*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*c - c + 2*c)*((-2 + 4 - 1)*(-1 + 3 + 2) + 15 - 1 - 4 + 2 + 1 - 5)*(-1 - 2 - 1).\nAnswer: 96*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 1*(-1)\/(6\/(-27))*(-250)\/(-375)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -13 + 20. Let q(t) be the first derivative of -32*t**7 + 2*t**3 + 64*t**f - 5 - 31*t**7. Find the third derivative of q(s) wrt s.\nAnswer: 840*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 30286*t**4 + 78849*t?\nAnswer: 363432*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15045.\nAnswer: 3, 5, 17, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -7659087 divided by -4?\nAnswer: 7659087\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 755 is divided by 63?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 82800000 = -3081*j + 3075*j. What is j rounded to the nearest 1000000?\nAnswer: -14000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 98, 98, 96, 92, 86, 78, 68?\nAnswer: 56","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 5, 2\/95, -52.213 in decreasing order.\nAnswer: 5, 2, 2\/95, -52.213","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-16)\/(-90) - (-6)\/27. Let m = 4.209 - 4.199. Which is greater: m or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = 223*c - 235*c - c**2 - 6 + 0*c**2. Calculate m(-11).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 1\/10 of a kilometer?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a kilometer in centimeters?\nAnswer: 60000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u + 0*u - 40 = 0. Let a(v) = -v + 13. Let t be a(-11). Let r = t + -10. What is the remainder when r is divided by u?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 770992?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -12.5 + 14. Let k = l + -3.5. Let c = 0.18 - 0.38. Put c, k, -3\/4 in descending order.\nAnswer: c, -3\/4, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.12, -0.2, 4\/371 in ascending order.\nAnswer: -0.2, 4\/371, 0.12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) be the third derivative of 7*o**4\/12 + 22*o**3 + 2*o**2 - 13*o - 6. Give y(-10).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = 2*o**3 - 214*o**2 + 4*o - 349. Calculate p(107).\nAnswer: 79","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 39 and 28962.\nAnswer: 376506","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-u + 5*u - 2*u)*(565 - 498 + 1729)*(u**2 + u**2 - 3*u**2).\nAnswer: -3592*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -1 (b) -0.4 (c) -4 (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(16)\/(sqrt(16)\/sqrt(288)))\/(-2*sqrt(196) + sqrt(360)\/sqrt(10)).\nAnswer: -12*sqrt(2)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 485112, 484603, 484094?\n\"Answer: -509*a + 485621","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*l - 3*l + 5*l - 6*l + 3*l + l + (l + l - 4*l)*(-4 + 5 + 1))*(-l - l + 3*l).\nAnswer: -7*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Determine o so that -21*o**3 + 136851*o**2 - 97734*o - 39096 = 0.\nAnswer: -2\/7, 1, 6516","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in one quarter of a litre?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 1, r: 2, n: 1, d: 1}. Give prob of picking 2 r.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -b**4 + 3*b**4 - 8956*b**2 + 9267*b**2 - 24*b**3 wrt b?\nAnswer: 48*b - 144","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-two fifths of a micrometer in nanometers?\nAnswer: 8400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*b**2 - b**2 - 5*b**2 - b**2 + 11889 - 12185 - 13*b + 2*b**2.\nAnswer: -2*b**2 - 13*b - 296","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -966*k**3 - 968*k**3 + 2920*k**3 - 968*k**3.\nAnswer: 18*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 2.346*-2\nAnswer: -4.692","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000029579 to 7 dps.\nAnswer: 0.0000296","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) be the third derivative of -x**6\/60 - x**5\/10 - 42*x**2. What is the third derivative of j(t) wrt t?\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -1\/9 and -195.2557 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -178, 2, -9, 1, -4, 21 in decreasing order.\nAnswer: 21, 2, 1, -4, -9, -178","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express 2281 + 791*s - 2281 as k*s + y and give k.\nAnswer: 791","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -1 divided by 1448497\nAnswer: -1\/1448497","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = r**3 - 11*r**2 - r + 13. Determine z(11).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 76067.73 decades?\nAnswer: 7606.773","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 3618 and 432?\nAnswer: 28944","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 6772 a factor of 1231261467?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = t - 10. Determine u(7).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((l*l*l**0)\/l)**16)**(1\/11)\/(l**(1\/8)\/(l\/((l\/(l\/l**(-2\/19)*l))\/l)*l*l))**33 assuming l is positive.\nAnswer: l**(277223\/1672)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (0\/(-7) + 0)*-1. Let d be -3*3\/45*-10. Suppose 10 = -d*m, 3*b - 2*m - 22 = -b. Which is greater: b or g?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 80931533 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0 - 3. Let m = -5602 + 5597. Sort -15, p, m.\nAnswer: -15, m, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = 102*x**2 - 54*x + 353. Is k(12) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2368 - 2362. Solve -4 = -o - 3*q + w, 3*o = -q + 14 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7 + (-10 - 0) - -5.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = 2*n + 24. What is p(-11)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 119417 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) be the first derivative of 1\/3*p**6 + 0*p**4 - 2 + 0*p**3 - 3\/2*p**2 + 0*p + 0*p**5. Find the second derivative of l(d) wrt d.\nAnswer: 40*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 9466 by 4122.\nAnswer: 4733\/2061","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = 8*c - 5. Let n(u) = -4*u + 3. Let p(w) = 4*k(w) + 7*n(w). Let x(q) = -17*q - 4. Give -9*p(l) - 2*x(l).\nAnswer: -2*l - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 691.7637 weeks?\nAnswer: 418378685760000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3132?\nAnswer: 2, 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = 4793728*i. Let v(g) = 2*g**2. Give v(m(s)).\nAnswer: 45959656275968*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00058398622 rounded to seven decimal places?\nAnswer: 0.000584","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 865601989 to the nearest integer?\nAnswer: 953","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -1 + (-5 - (-27)\/3). Let t(f) = -f + 20. Let p(z) = 2*z - 19. Let l(n) = -2*p(n) - 3*t(n). Let b be l(-17). Put g, b, -9 in increasing order.\nAnswer: -9, b, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = l - 11. Suppose 16 + 40 = 4*j. Let t be d(j). Suppose 0 = -t*h + 4*u + 55, 4*u - 5*u - 20 = -h. List the prime factors of h.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f and 1 p when two letters picked without replacement from {p: 1, b: 2, f: 2}?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-5)\/(-20) - 374\/(-8). Let q = 50 - s. Factor -15*y**4 - 39*y**3 - 34*y**q + 68*y**3 + 10*y**2.\nAnswer: -5*y**2*(y + 1)*(3*y - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find r such that -4*r**5 + 228*r**4 - 3964*r**3 + 19932*r**2 + 24128*r = 0.\nAnswer: -1, 0, 13, 16, 29","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*r - 2*p + 6, 5*r - 9 - 1 = -4*p. Let b be (6\/4)\/(6\/(-4)). Let d be (9\/21)\/(b\/(-21)). Solve -r*i = i + d for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in twenty-five eighths of a decade?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -7 - -11. Suppose -21 + 1 = -t*i. Let y(k) = -5*k**2 + k**2 + i*k**2. Let u(z) = -2*z. Give y(u(m)).\nAnswer: 4*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4714 is divided by 115?\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 170 divided by 1.\nAnswer: 170","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is seven eighths of a microgram in nanograms?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -11 - (63 + (-36 - -38) + -38)\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t and 1 b when two letters picked without replacement from hhbbhphhoogpbbhth.\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 9834?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.0041 and -52?\nAnswer: 0.2132","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = 7*c**3 - 5*c**2 + 3*c. Let j(x) = -7*x**3 + 4*x**2 - 4*x. Let r(w) = -4*b(w) - 5*j(w). Find the second derivative of r(k) wrt k.\nAnswer: 42*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (6374\/(-35))\/((-108)\/15). Let t = -383\/21 + d. Calculate the common denominator of 33\/20 and t.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence apl when three letters picked without replacement from apppalpapapppplappaa?\nAnswer: 77\/3420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (4 - (-530)\/(-135))\/(2\/60). Let i = n + -14\/9. Find o, given that i - 2\/3*o**2 + 2\/3*o**3 - 2\/3*o = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1078?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -8 in -3, -5, -0.5, 182?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0 and 53576.\nAnswer: 53576","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 > -4\/67?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 634391.4 kilograms in milligrams?\nAnswer: 634391400000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -8, 3, 2.\nAnswer: -8, -3, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 4 + -4. Suppose -t - 3 + 26 = 2*h, 4*t - 3*h - 92 = u. What is the remainder when t is divided by 8?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-37 + 71 - 11*n - 31)*(0*n - 2*n + 0*n).\nAnswer: 22*n**2 - 6*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -24721.4472 to the nearest one hundred.\nAnswer: -24700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 86 = -14*c + 12*c. Let n = 20 - c. What are the prime factors of n?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (4 - 1 - 1) + -2. Let t = 1 - 1. What is the nearest to t in 2\/7, j, 5?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 8893349 to the nearest integer?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w, 1 m, 1 v, and 1 e when four letters picked without replacement from vemevveezevevwzeev.\nAnswer: 4\/255","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -703\/3011?\nAnswer: -703\/3011","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 600\/(-225)*3\/2. Which is the third smallest value? (a) 3 (b) 7\/4 (c) s (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 599890011 to the power of 1\/4, to the nearest integer?\nAnswer: 157","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*q + 9*q - 12 = 0. Let h = q + -4. Let r(a) = a**3 - 7*a**2 + 7*a + 3. What is the least common multiple of h and r(6)?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -309 = -20*r + 17*r. Let o = r + -35. Suppose -7*k + o = -93. What is the tens digit of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.07 - 0.03. Let c = -0.1 + 0.1. What is the third biggest value in c, 0.1, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.2438, 0, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 698033 to the nearest integer?\nAnswer: 835","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cttttttcttt. Give prob of sequence ct.\nAnswer: 9\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = 6*r - 5. Suppose 25*v = 2*v + 368. What is the units digit of h(v)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) be the first derivative of z**7\/840 - z**6\/90 - z**5\/20 + 5*z**4\/24 + 10*z**3\/3 - 14. Let c(v) be the third derivative of n(v). Calculate c(5).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -1318*p**3 + 2*p + 1369?\nAnswer: -3954*p**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 4270388693 - 0\nAnswer: 4270388693","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = 55*c. Let v(m) = 11*m + 6*m - 15*m + 2*m + 2*m. Give f(v(u)).\nAnswer: 330*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2) + sqrt(6)\/sqrt(3)*-5 + -1)*-4 - ((sqrt(128)*-1)**2 + sqrt(2) + (sqrt(14)\/(sqrt(7) - -1*sqrt(7)) - sqrt(2) - sqrt(2))**2 + 2).\nAnswer: -261\/2 + 15*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 7354 a multiple of 84?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -m. Let j be 8 + 0 + (-18)\/(-3). Let p(c) = -37*c**2 + j*c**2 - 36*c**2. Give p(s(u)).\nAnswer: -59*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0033209907 rounded to 5 dps?\nAnswer: 0.00332","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3384, 6791, 10248, 13779, 17408, 21159, 25056, 29123?\nAnswer: 33384","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1255 to the power of 1\/3, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3012 to the nearest integer?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = u - 0*u. Let x = 22 - 46. Let p be (3*-2)\/(1 - (-27)\/x). What is the greatest common factor of u and p?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 5, 307, 2\/387?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 - 1 = -4*d. Suppose -8*w = 2*r - 7*w + 1, -r + 3 = -3*w. Suppose 4*b + r*j = 2*j - 148, 0 = b + 5*j + 15. Put 5, d, b in ascending order.\nAnswer: b, d, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5118642 divided by 3.\nAnswer: -1706214","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -493 + 1003. Calculate the lowest common multiple of 935 and h.\nAnswer: 5610","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 131 - -131844.\nAnswer: 131975","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 15929783 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 1, u: 1, i: 1, n: 1, s: 1}. Give prob of sequence sw.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q and 1 n when two letters picked without replacement from wxqqqvsssxnvwxvxq?\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 8980183 plus -4086?\nAnswer: 8976097","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(84)\/sqrt(252) - sqrt(12)) + (sqrt(144)\/sqrt(3))\/sqrt(4))\/((1*sqrt(16)*-5)\/(sqrt(108)\/sqrt(3))).\nAnswer: -sqrt(3)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 57*j**4*x + j**4 - 9*j**3*x + 119*j**2 - 8*x wrt j?\nAnswer: 1368*j*x + 24*j - 54*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f**4\/3 - 5*f**3\/3 + 25*f**2\/3 + 5*f\/3 - 8 = 0. What is f?\nAnswer: -8, -1, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.2 + -0.1. Suppose 5*u - 2*v = 2*u + 96, 4*v - 108 = -4*u. Suppose -4*h + z - 11 - 6 = 0, 0 = -5*h + 3*z - u. What is the nearest to j in 1\/5, h, 1?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence upqa when four letters picked without replacement from {k: 2, u: 6, a: 4, q: 1, p: 7}?\nAnswer: 7\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -47 + 50. Find the first derivative of 3*q**2 + 49 - 3*q**2 - 5*q**4 - 7*q**3 + 3*q**c wrt q.\nAnswer: -20*q**3 - 12*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-2136)\/(-30) + (-1)\/5. Let r be (-140)\/(-30)*(-6)\/t. Let b = 8587\/710 + r. What is the common denominator of -79\/12 and b?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -150 + 153. Suppose 7 - 64 = -f*q. What is the remainder when 264 is divided by q?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.2 and -0.1?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 11 + -4. Let g(d) = -196699*d**2 - 8*d + 7. Let s be g(r). Let t = s + 5738300. Round t to the nearest 1000000.\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 - -23) + (-23 - -16) + -6?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -462 + 464. Find the third derivative of -20*u**2 - 105*u**n - 2*u**2 - 160*u**3 wrt u.\nAnswer: -960","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 979197767 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = 2*c**2 + 56073*c. Let a(o) = -o**2. Give k(a(x)).\nAnswer: 2*x**4 - 56073*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -2123*t - 354. Is x(-17) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 10003131112112 + -10?\nAnswer: 10003131112102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40*x + 44*x = 0. Suppose -4*t + 314 = p, x*t = 2*t - p - 160. What is the units digit of t?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = 12*o**2 - 3944 - o - 4*o**2 + 3950. Let c(x) be the second derivative of -1\/3*x**3 + 13\/2*x**2 - 2*x + 0 + 17\/12*x**4. Determine 6*c(l) - 13*q(l).\nAnswer: -2*l**2 + l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 138140879 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 17 + -15. Let w(y) be the second derivative of 0 - 1\/6*y**4 + 0*y**2 - 1\/20*y**5 + r*y + 0*y**3. What is the third derivative of w(m) wrt m?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17 + 10 = -27*u for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = 448*h**3 + 4*h**2 - 6*h. Let m(r) = -446*r**3 - 3*r**2 + 5*r. What is -4*m(b) - 3*w(b)?\nAnswer: 440*b**3 - 2*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Determine o so that -5*o**4 + 220*o**3 + 230*o**2 - 220*o - 225 = 0.\nAnswer: -1, 1, 45","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -146736*v**5 - 77007*v.\nAnswer: -2934720*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = s + 10. Let l be o(-13). Is (l\/(-5))\/(10\/2650) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2235, -1\/5, -3\/92, -9?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is a9 - 13033?\nAnswer: -12c57","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 447656, 895309, 1342960, 1790609?\nAnswer: 2238256","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v - r = 1 + 10, -3*v + 4*r = -18. Let n be (-16 + (4 - -7))*(-2)\/(-95). What is the closest to 1 in -3\/2, v, n?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of (-1202)\/(-18) - (-38)\/171 and (15*(-24)\/(-420))\/((-9)\/(-105))?\nAnswer: 670","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 2 + 1)*(-v + 2 - 2) - 5*v + 0*v - 3*v - v + 6*v + 0*v + 2*v - 2*v - 2*v.\nAnswer: -7*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 144089, 144128, 144187, 144266, 144365?\n\"Answer: 10*x**2 + 9*x + 144070","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 0.1 * -17973\nAnswer: -1797.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = 2*u**2. Let y(r) be the second derivative of 13*r**3\/2 - 30*r. Give z(y(m)).\nAnswer: 3042*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = 1793*r**2 + 12*r - 3. Let z(n) = 5285772*n**2 + 35380*n - 8845. Determine 8845*t(m) - 3*z(m).\nAnswer: 1769*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*c**3 + 5*c**2 - 5*c**2)*(-8*c**2 + 8*c**2 + 8*c**2) - 5*c**5 + 3*c**5 + 0*c**5.\nAnswer: -18*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s - 130 = 2*b, s - 5*b = -0*b + 26. Does 23 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -2*n**2 + 281*n + 3336. Let u be s(-11). Solve 12*q = -u*q + 75 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -130400 to the nearest 10000.\nAnswer: -130000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = 5*l + 9, 2*l + 196 = 4*k. Let v be ((-2)\/(-12))\/(k\/(-6354)). Let s = -22 - v. Find the common denominator of 61\/8 and s.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 152 + -63b0c?\nAnswer: -6398a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is x in 12*x**5 - 1628*x**4\/5 + 10648*x**3\/5 + 1968*x**2 - 145312*x\/5 - 216832\/5 = 0?\nAnswer: -2, 7, 8, 242\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (1\/((-6)\/(-2360)))\/((-20)\/240). Round y to the nearest 1000.\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -19\/132 and 73\/264.\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 416410, 1665660, 3747744, 6662662?\nAnswer: 10410414","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*w + 4*w + 2*w)*(w - w**4 - w) + (-3*w**2 + w**5 + 3*w**2)*(3 - 5 + 5)*(-6896 + 3450 + 3604).\nAnswer: 473*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (-10)\/((-160)\/(-6))*1\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 3 and 0.0865?\nAnswer: 0.2595","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 1240 + 3?\nAnswer: 1243","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*i + 26*i - 165 = 0. Let r(f) = -f**2 + 15*f - 4. Give r(i).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -s**2 - 9*s + 2. Let r be i(-7). Let u = 20 - r. Suppose -u*b - 12 = 0, -p + 59 = 4*p + 2*b. Is p a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) be the first derivative of -187*d**4 + 1727*d - 1623. Find the first derivative of h(g) wrt g.\nAnswer: -2244*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is two ninths of a day in minutes?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*x + 752*z - 755*z - 80, 85*z = -5*x - 2950 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = x**2 - 19*x + 1. Let v be j(19). Let i = 60 + v. Find the third derivative of 130*l**6 - 12*l**2 - 56*l**6 - i*l**6 wrt l.\nAnswer: 1560*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -48, 2, 0, 73, 3, -2 in descending order.\nAnswer: 73, 3, 2, 0, -2, -48","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 174*z - 71610456*z**2 + 71610456*z**2 - 93*z - 81*z - z**3.\nAnswer: -z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5337?\nAnswer: 3, 593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-13)\/60 + -3 + (-13)\/(-4). Suppose -2*w = q - 5, -5*q + 3*w - 16 = -2. Which is smaller: r or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 47200 and 295?\nAnswer: 295","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 31\/4392 and 33\/1996.\nAnswer: 2191608","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n\/(n\/n**0)*n*n**(-2)*(n**0*n)**(17\/6) assuming n is positive.\nAnswer: n**(11\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find b, given that -3*b**2\/5 + 6327*b\/5 - 181722 = 0.\nAnswer: 155, 1954","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3 + (sqrt(68) + -3)*6)**2 - (-6*-3*(2 + sqrt(68)))**2)*5*2.\nAnswer: -204390 - 30960*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s - 4*t = -5 - 15, 5*s + 2*t - 16 = 0. Suppose 0 = -s*a + 2230684 + 12549316. What is a rounded to the nearest one million?\nAnswer: 7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-10)\/(-4)*-2 + -2. Is (-2)\/(-7) + (-2091)\/v prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 98041 to the power of 1\/10, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bybdfefyfb. What is prob of picking 3 b and 1 y?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.416 and 0.21.\nAnswer: -0.08736","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-6)\/20)\/(((-12)\/5)\/(-2))?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/(m*m**0)*m**(-5)*m*m)\/(m*m**3*m*m**(-1\/5)) assuming m is positive.\nAnswer: m**(-39\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w = 5*y + 34, 0 = 5*y + 145*w - 140*w + 40. Suppose 0 = 3*u + 5*a + 950, -4*a = 4*u + 981 + 299. Sort 1, y, u in decreasing order.\nAnswer: 1, y, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -3\/5, 5, -3\/2, 3\/236?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -5*k**3 + 38*k**2 - 24*k - 40. Let i(o) = 2*o**3 - 20*o**2 + 2*o - 1. Let t(u) = 3*i(u) + w(u). Give t(23).\nAnswer: 72","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = 22*d**2 - 5*d + 19. Let u(h) = 10*h**2 - 2*h + 9. Determine 3*b(s) - 7*u(s).\nAnswer: -4*s**2 - s - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -9*o**2 + 2*o + 5. Let g(r) = -r**2 + 1. Let d(j) = -j**2 - 2*j + 6. Let s be d(0). What is s*g(f) - k(f)?\nAnswer: 3*f**2 - 2*f + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 - 3 + 114*k**3 + 7*k - 7*k.\nAnswer: 114*k**3 - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 minutes after 10:54 AM?\nAnswer: 11:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 2, m: 5, k: 2}. What is prob of sequence pkp?\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 10321, 20584, 30841, 41092, 51337, 61576?\nAnswer: 71809","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 9 and 94.\nAnswer: 846","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = 42*u + 583. Let t be h(-14). What is the nearest to 0 in 2\/3, 0.5, t, 3?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = 4*h + 13. Let b be n(-6). What are the prime factors of (-2*(-1)\/(-8))\/(b\/1804)?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 33689*d*w - 8938*d - 2 wrt w?\nAnswer: 33689*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:57 PM and 9:07 PM?\nAnswer: 430","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:34 PM and 11:19 AM?\nAnswer: 705","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 1929670 a multiple of 85?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = 17*i + 4. Let y(z) = 546*z + 130. Let p(a) = -65*l(a) + 2*y(a). Let o(v) = -5*v**2. Give o(p(x)).\nAnswer: -845*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -4.2 + 0.2. Let l(o) = -o - 15 + 15. Let y be l(0). What is the closest to y in 0, b, -1\/4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -26*m**3 + 2*m. Let p be n(2). Suppose 0*c - c = -1404. Let k = c + p. What is k rounded to the nearest 1000?\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -7\/48 and 48\/7.\nAnswer: 336","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1\/4, -3\/4, 2, -8, 2.2, -2\/3, -2490?\nAnswer: 2.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 640?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + 6 = -w, 2*w = -7*m + 2*m - 12. Let f be (1 + (-28131)\/6)*14656\/w. What is f rounded to the nearest one million?\nAnswer: 11000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (5 - 1 - (3 + 0)) + -1?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -404, -111\/10, -9, -16\/11, 3 in decreasing order.\nAnswer: 3, -16\/11, -9, -111\/10, -404","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -321*m**3*y**5 + 60*m**3*y**2 - m*y**2 - 2*y**6 - y**2 wrt y.\nAnswer: -19260*m**3*y**2 - 240*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 58\/(-522) + 55\/9. Let m be ((-2)\/2 - -2)\/((-20)\/(-100)). Solve c - m = o*c for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i + 5*g = 1, -7*g + 2*g - 13 = -4*i. Suppose -8*u = 4 - 92. Calculate the lowest common multiple of u and i.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -7*c**2 + 21*c + 11. Let u(m) = 9*m**2 - 24*m - 11. Calculate -5*g(k) - 4*u(k).\nAnswer: -k**2 - 9*k - 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 340219 a multiple of 197?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 336625*b - 481695?\nAnswer: 336625","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (((-1196240)\/15)\/(-38))\/(6\/9) is divided by 105?\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + 29885628.424?\nAnswer: 29885628.424","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor n**2\/2 + 1055913*n\/2.\nAnswer: n*(n + 1055913)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00898008255 rounded to five decimal places?\nAnswer: -0.00898","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) be the third derivative of -5\/56*k**8 + 0*k**6 + 23*k**2 + 0*k**3 + 0*k + 0 + 0*k**4 + 0*k**7 - 1\/4*k**5. Find the third derivative of h(d) wrt d.\nAnswer: -1800*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2042?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 453.9611km to centimeters.\nAnswer: 45396110","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2 + -2.7. Let s = -1.3 - j. Let k = s - -0.555. What is k rounded to two dps?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 70104775 or 70104777?\nAnswer: 70104777","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is x in 31*x**3 - 314*x**2 - 10069*x - 9724 = 0?\nAnswer: -13, -1, 748\/31","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 1, x: 2}. Give prob of picking 2 x.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is six fifths of a gram in milligrams?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.456 < -230?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 61853 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = u**2 + 19*u - 17. Let b be o(-16). Let z = -33 - b. What is the units digit of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y - 6*y + 650 = 0. Suppose -d = -5, -d = -5*p - 3*d + y. Does 12 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (3\/(-2))\/((-39)\/104). Suppose 3*g - 22 = -2*s, -g - a*s + 5 = 1. Find b such that -14*b**4 - 6*b**4 - 3*b + g*b**2 + 7*b**2 - 2*b = 0.\nAnswer: -1, 0, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 5\/72 + -323\/504. Suppose 2*c + 2*i = -i - 2, i - 2 = 0. Let t = c - -3. Which is smaller: t or s?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 129, -5, 1, -27 in increasing order.\nAnswer: -27, -5, -1, 1, 129","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u = 17*u + 2310. What is the tens digit of 1 - 4 - (-13 + u)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 348 and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:10 PM and 4:37 AM?\nAnswer: 627","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*y**2 - 451199 + 0*y**2 + 451199.\nAnswer: 3*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 3, g: 13}. What is prob of sequence uug?\nAnswer: 13\/560","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -53 divided by -3940509\nAnswer: 53\/3940509","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 10027842709 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = 10*l - 16. Let z(w) = -7*w + 11. Let b(y) = -5*f(y) - 7*z(y). Let n be b(3). Let r = n + 4. Solve -4*x = -3*x + r for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15854 is divided by 2640.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3256494.\nAnswer: 2, 3, 157, 3457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 161 a factor of 16100?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -212 - -313333?\nAnswer: 313121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -251*g + 235*g = -6032. What is the greatest common divisor of 13 and g?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 28, 40, 46, 40, 16, -32?\n\"Answer: -b**3 + 3*b**2 + 10*b + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 35 and 10660762.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 40 divide 14458280?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -20530.6 + 20531. What is the third smallest value in w, 3\/7, -3, -0.25?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*w + 186179*w**2 + 0*w - 186179*w**2 + 49771*w**3.\nAnswer: 49771*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 19 minutes before 4:48 PM?\nAnswer: 4:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -709036*g**3 - 2595556?\nAnswer: -2127108*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 739248?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -37*p**4\/2 + 4593*p**3 - 20489*p**2\/2 - 21666*p + 34686 = 0 for p.\nAnswer: -2, 47\/37, 3, 246","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 29 + 27 + 2*d - 56.\nAnswer: 2*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (-60)\/(-16)*1092\/(-455)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 57*t - 51*t - 47256. Suppose -8*q = -t + 2460. What is the tens digit of q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -142*d - 787*d + 94 = 48 + 46 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 44414746?\nAnswer: 2, 22207373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -27 + (126\/3 - 17)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r = -3*j - r - 14, -j - 2*r = 6. Let t be (j - (-29)\/15)*(-50)\/(-20). Let q be (-2)\/9 - 33\/(-27). Is t at least as big as q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -782 (base 15) in base 13?\nAnswer: -a07","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j + 123 = 2*m, -2*m - 23*j = -26*j - 135. Calculate the smallest common multiple of 63 and m.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-6*j + 19 - 19)*(-2*j - 2*j - 1 + 3) as i*j + g + z*j**2 and give z.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:11 PM and 1:27 AM?\nAnswer: 496","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j - 24 = -2*j. Let l = 29 + j. Is l a multiple of 35?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 + 2*q)*(-16*q**2 + 16*q**2 - 3*q**3) + (27*q - 27*q + 5*q**3)*(q - 4*q + 5*q).\nAnswer: 4*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 1 + -2126274?\nAnswer: -2126273","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 6007 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 35 minutes before 11:09 AM?\nAnswer: 10:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.041, -4, 0.3, 0.5 in increasing order.\nAnswer: -4, 0.041, 0.3, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -2*x**3 - 6*x**2 - 6*x - 171. Let c(b) = b**3 + 2*b**2 + 2*b + 1. Calculate -3*c(i) - l(i).\nAnswer: -i**3 + 168","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:40 PM and 9:05 PM?\nAnswer: 505","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -c*h*i**2 - 3*c*s**3 - 3*c*s - 4*h*i**2*s**3 - 2*h*i*s**2 - 2*h*s**5 - 5*h wrt s.\nAnswer: -18*c - 24*h*i**2 - 120*h*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 2, c: 1, w: 1, y: 2, u: 1}. What is prob of picking 2 y?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -106*v + 208 = -132*v for v.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.136 take away 15697288402?\nAnswer: -15697288398.864","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = 5*s**2 - 3*s**2 - 8*s**2 + 22*s**2 + 4*s**2. Let u(n) = 7*n**2 - 70. Let i(b) = -b**2 + 12. Let c(j) = -35*i(j) - 6*u(j). What is c(z(x))?\nAnswer: -2800*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -1114*p + 21. Let q(l) = l. Give q(c(n)).\nAnswer: -1114*n + 21","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -4*k + 6*k - 8*k + 7*k**3 wrt k?\nAnswer: 42*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fgrrggngg. What is prob of sequence gfg?\nAnswer: 5\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 278?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + 7*w = 3960. Let n = 162 - w. What is n rounded to the nearest 100?\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) be the first derivative of o**2\/2 - 717. Let n(j) = -j. Let t(z) = 3*z. Let v(d) = -2*n(d) + t(d). Give b(v(p)).\nAnswer: 5*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.12 and 25.2?\nAnswer: -3.024","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -45920*k**2*q**2*y**3 + k**2*q**2 + k**2*q*y**2 + 3*k**2*q*y - 26*k**2*y**3 + 57*k**2*y**2 - 63*q*y wrt y.\nAnswer: -275520*k**2*q**2 - 156*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -8 - -10. Suppose -9 = -z*x + 5*h + 52, 5*x + 4*h = 70. Calculate the greatest common divisor of x and 162.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -446 and -13363\/30 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from pxgfjpeexxxjpfpeeeg. What is prob of picking 1 j, 1 g, and 1 p?\nAnswer: 16\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (-351)\/63 - (-3 + -2)\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -56*z + 8028 = -115*z + 63*z. Calculate the remainder when z is divided by 1999.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:57 PM and 4:05 AM?\nAnswer: 488","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.3 * -24734298.1.\nAnswer: 7420289.43","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) be the third derivative of 3\/8*c**3 + 0*c - 1\/4*c**4 + 11\/120*c**5 - 1\/60*c**6 + 0 + 1\/840*c**7 + 87*c**2. Factor x(l).\nAnswer: (l - 3)**2*(l - 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -176*o**3*p**2*y + 2*o**3*p*y + 2*o**3*y + 5*o**3 - 2*o*y wrt p.\nAnswer: -352*o**3*p*y + 2*o**3*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3579, -3599, -3619, -3639, -3659, -3679?\nAnswer: -3699","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hh when two letters picked without replacement from {h: 9, b: 2, d: 2}?\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 348508605 to the nearest integer?\nAnswer: 704","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lzlmzmmzelenet. What is prob of picking 1 n and 1 l?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1039 - -1223. Solve 70 = -19*h + l for h.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 45 is divided by 23?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 218420144?\nAnswer: 2, 23, 83, 7151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 1728\/(-2016)*(-28)\/2\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -17443 take away -5?\nAnswer: -17438","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6 - -4) + 1 - 1.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (-32*v + 2*v + 17*v)*((-2*v + v + 0*v)*(v + 0 + 0) - 5 + 5 - 2*v**2 - 32367 + 32367 - 173*v**2) in the form y*v**2 + n + x*v + i*v**3 and give x.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fttqqqrqr. Give prob of sequence fq.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 4\/3 of a day?\nAnswer: 1920","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -k - 30 = -32 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.6728 and 140.4?\nAnswer: 94.46112","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) be the second derivative of f**3 - f - 2*f - f**3 - f**3. Let y(x) = x + 1. Let q(l) = 2*l + 3. Let r(n) = q(n) - 3*y(n). Give r(m(o)).\nAnswer: 6*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -10343*u - 11065. Let w(i) = -3442*i - 3688. Let t(n) = -5*l(n) + 14*w(n). What is the first derivative of t(f) wrt f?\nAnswer: 3527","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 73015.89 kilograms in nanograms?\nAnswer: 73015890000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 138*x + 22*x + 1600 for x.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l + 5*m = 2*m - 13, 76 = -5*l - 4*m. Does 4 divide l\/6*12\/(-8)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*m - m + 5*m - 3 + 0*m + 3*m + 0*m - 93*m - 30*m + 6*m + (-2 + 3 + 0)*(0*m + 0*m + m) to b*m + g and give b.\nAnswer: -114","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*z\/((z**(-2\/19)*z*z)\/z))**(-3)\/((z*z**10)\/z**(-2\/25)) assuming z is positive.\nAnswer: z**(-6838\/475)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3*k**2 - 11*k + 14*k + 4*k wrt k?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*a + 23 - 2*a**2 - 24 - 17*a**3 + a.\nAnswer: -17*a**3 - 2*a**2 - a - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = 52*y**2 + 460*y + 7. Calculate the remainder when 650 is divided by i(-9).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -2*s**2 - 69*s - 588. Let a be p(-16). Let w(l) = -l**2 + l - 5. Let g(d) = -d + 6. Let m = -3 + 6. What is a*w(r) + m*g(r)?\nAnswer: -4*r**2 + r - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = 4*d. Let l(x) be the second derivative of -71*x**4\/6 + 16*x. Determine l(h(f)).\nAnswer: -2272*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -51.9 - -19. Let r = -33.071 - l. Round r to two dps.\nAnswer: -0.17","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -n + 8. Let a be o(9). Let z(u) = 6*u - 1. Let i be z(a). Let w = -8 - i. Put -5, w, 4 in increasing order.\nAnswer: -5, w, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 0 + 222113?\nAnswer: 222113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 5, k: 5}. What is prob of sequence kff?\nAnswer: 5\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 113\/2 - 181\/3. Calculate the common denominator of 9\/22 and i.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 107*i**3 - 212*i**3 + 106*i**3.\nAnswer: i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2031694361 rounded to three decimal places?\nAnswer: -0.203","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 139038407 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + (11 - (6 + -2)) + -9 + 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = 2*w**2 + 45*w + 15. Let x be r(-22). Which is the second smallest value? (a) -1 (b) -3\/7 (c) 2 (d) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(sqrt(77) - (sqrt(77) + -6*(sqrt(77) + (-2*sqrt(77) - sqrt(77)) + sqrt(77) + sqrt(77)) + sqrt(77)) - sqrt(77)))\/(1*sqrt(28)\/sqrt(4)*-1) + 1.\nAnswer: 1 + 10*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1562 (base 10) in base 4?\nAnswer: 120122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -10, -2, 2\/11, 2, -3\/120179?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -2*i**3 + 2*i**2 + 2*i - 3. Let o be p(2). Let k(s) = 0*s**2 + 2*s - s**2 - 6 + 11. Let z(b) = -2*b**2 + 4*b + 11. Determine o*k(h) + 3*z(h).\nAnswer: h**2 - 2*h - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 171948*g**4 - 340*g**3 - 33721263 wrt g?\nAnswer: 687792*g**3 - 1020*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Are 0 and 14\/417625 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + 4*q + 5 = 0, -3*y = 4*q - 6 - 9. Suppose y*v - 2*v = 18. Let i be (-2)\/v - (-20)\/6. Solve -i = 3*x + g, 2*x - 3*g - 3 + 5 = 0 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*n**2 + 5*n**2 + n**2 + (-n**2 + 6*n**2 - n**2)*(-2 - 1 + 1))*(-26 + 13*n**3 + 2*n**3 + 28).\nAnswer: -90*n**5 - 12*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u - 2*n + 6 = 0, 0*u = -3*u + 5*n + 33. Let x = -1 - -7. Find the second derivative of w**2 - u - w + x wrt w.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2 + 7. Let k(m) = m**3 - 5*m**2 + 9*m + 1. Let a(q) = 3*q**3 - 11*q**2 + 19*q + 3. Let l(o) = y*k(o) - 2*a(o). What are the prime factors of l(-5)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2\/2549 - 84157\/50980. Find the common denominator of -169\/150 and y.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21961 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) be the second derivative of m**7\/21 - m**4\/6 + 11*m**3\/3 + 18*m. Let t(c) be the second derivative of x(c). Differentiate t(d) wrt d.\nAnswer: 120*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -567*s**3 + 12834579*s + 140*s**3 - 12834579*s.\nAnswer: -427*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j + 4*j - 2 = 0. Solve -j*x + 3*c = 21, -4*x + 4*c - 37 = -c for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r = -5*b + 658 + 387, -2*b + 2*r = -418. What are the prime factors of b?\nAnswer: 11, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -260 - -264. Let r(q) = 327 + 332 + z*q - 652. Give r(-5).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 270009 divided by -3.\nAnswer: -90003","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hnxpnhxwz. Give prob of picking 1 n and 1 h.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 + 10 = 8*c + b, -4*c + b + 18 = 0. Let p = -17 - -31. Suppose 4*f - 3*z = -0*z + 43, -f + p = -4*z. What is the lowest common multiple of f and c?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*c**2\/5 - 311446*c\/5 + 5422188.\nAnswer: -2*(c - 87)*(c + 155810)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.54 - -4610.749?\nAnswer: 4609.209","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((g\/(g*g**(2\/21)))\/g)\/g*(g\/g**6)\/g*g)\/(g**(-2\/3)*(g\/g**(1\/3))\/g) assuming g is positive.\nAnswer: g**(-128\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10580063 is divided by 90.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 686 and 463652.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*y**4 + 136*y**3 + 848*y**2 - 5320*y + 4332.\nAnswer: 4*(y - 3)*(y - 1)*(y + 19)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*z = -4*q - 40, 3*q - 39*z + 18*z = -25*z - 2 for q.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: Let o = -25 - -3. Let x = o - -5. What is the units digit of -4*(-12)\/16 - x?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 32066*d**6*m**3 + 32*d**3*m**3 - 12*d**2*m**3 - 5*d**2*m - 118*m**3 - 31 wrt d?\nAnswer: 3847920*d**3*m**3 + 192*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -23028 - -46507. Is y\/9 - (-18)\/81 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 46 divide 144117126?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 453578053 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 8251 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -3*a**2 + 14. Let h(f) = -2*f**2. Determine h(c(s)).\nAnswer: -18*s**4 + 168*s**2 - 392","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 18 and 323190.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -14198*m**2*p - 6*m*p + 262*m + 2 wrt m?\nAnswer: -28396*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1439 is divided by 20?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (0\/2)\/((-6)\/(-2)) - -23.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2, -1, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -27, -110, -249, -444?\n\"Answer: -28*l**2 + l","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 1, w: 4, b: 2, f: 3, x: 1}. Give prob of sequence xff.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -j**2 + 8*j - 6. Let y(r) = 2*r**2 + 3*r - 4. Let q be y(-3). Suppose 0 = u - 10 + q. Let m be c(u). Solve 2*o - 5*x - 11 = m, x = 5*o - 27 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t**2 - 787146*t + 51633235443 = 0. Calculate t.\nAnswer: 131191","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 417 divide 4028220?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 39820?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Are -470437 and -469427 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 3806572523 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) be the third derivative of v**5\/60 + v**3\/3 - 21*v**2. Let w(m) = m**2 + 1. Let s(h) = -a(h) + 2*w(h). Let o(x) = -6*x. Give s(o(y)).\nAnswer: 36*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (3\/3 + 0)*-1. Let u be (v\/1)\/1*-11. Let q(w) = -107*w - 30. Let r be q(-1). What is the highest common divisor of u and r?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = 8*f**2 + 69*f - 696. List the prime factors of j(17).\nAnswer: 2789","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z - z = -12. What is the closest to 0 in -1\/2, -1, z?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -125*h**3 + 50*h**3 - 53*h**3.\nAnswer: -128*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*q - 3*q + 3*q)*(-q - 3 - 1 + 8 + 2*q**2).\nAnswer: -4*q**3 + 2*q**2 - 8*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is -6\/28171 bigger than 0.02?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 59889536?\nAnswer: 2, 7, 66841","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 186, -639, -2, 2 in descending order.\nAnswer: 186, 2, -2, -639","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 204?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 0*(90\/(-150))\/((-6)\/10)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -f**3 + 4*f**2 - 5*f + 2. Let y be l(2). Let a(r) = -r - 1. Let v be a(y). Let z(h) = 13*h**3 + 2*h**2 + h. Calculate z(v).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15*h**3 + 18 - 3 - 33.\nAnswer: 15*h**3 - 18","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 + 3 - -4 - (9 + -5)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -8 * 0.68\nAnswer: -5.44","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -432, -836, -1212, -1554, -1856, -2112, -2316, -2462?\n\"Answer: t**3 + 8*t**2 - 435*t - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -6, -3\/34, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ggin when four letters picked without replacement from {n: 4, g: 3, i: 6}.\nAnswer: 6\/715","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -4*j - j + 0*j + 3*j. Does 4 divide a(-4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -27, 5, -6982, -4, 2, 0 in descending order.\nAnswer: 5, 2, 0, -4, -27, -6982","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*m - 404 = -14*m. Let g = -94 - m. Let f(q) = 2*q + 6*q**2 + g*q**2 - 7*q**3 - 17*q**2. Let y(c) = c**3 + c**2. Give -f(i) - 6*y(i).\nAnswer: i**3 - 2*i**2 - 2*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (10\/(-25))\/((-46)\/(690\/189))?\nAnswer: 2\/63","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = 7*f - 45*f**2 + 17*f - 36*f + 12*f. Let x(k) = -k. Determine y(x(h)).\nAnswer: -45*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from llccl. What is prob of picking 2 c and 2 l?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 17885794?\nAnswer: 2, 811, 11027","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of a**4*i**2 - 13*a**3*i**3 + 231*i**3 wrt a.\nAnswer: 4*a**3*i**2 - 39*a**2*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) be the first derivative of -s**3\/3 + 4*s**2 - 7*s - 2. Is 3 a factor of m(5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -289*s. Let p(r) = -15*r**2 + 13*r - 65. Let w(m) = -7*m**2 + 6*m - 30. Let f(k) = -6*p(k) + 13*w(k). Give f(h(q)).\nAnswer: -83521*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 4822 a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 46\/5 of a millennium in years?\nAnswer: 9200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 836083 or 836029?\nAnswer: 836029","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/7? (a) 3 (b) -2 (c) -0.1 (d) 1\/644 (e) -0.4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = -b + 2*h, -2*h + 1 = 3*b - 4*h. Suppose s = g - 5*g - 3, 4*s + 3*g = -51. Let p = s - -17. Put p, -2, b in descending order.\nAnswer: b, p, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 170\/(-4)*(24\/10)\/(-3). Suppose -4*n + 14 = -r. Find the second derivative of 7*j - 3 + 3 + n*j + 10*j**3 wrt j.\nAnswer: 60*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine d, given that -2*d**3 + 3090*d**2 + 34256*d - 37344 = 0.\nAnswer: -12, 1, 1556","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -51*o - 10 = -3*h - 53*o, -o = 4*h - 15 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 5.8 + -6. Let j = f + -0.2. Let w = 6 + -8. Which is the third biggest value? (a) 1 (b) w (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1119?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 898, 1779, 2654, 3529, 4410, 5303?\nAnswer: 6214","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3948230 by 7865.\nAnswer: 502","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = s**3 + 10*s**2 - 41*s - 346. Determine q(-11).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*z = 3*b - 12, -560*z + 565*z - 5*b = -55 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -354557150 and -0.3.\nAnswer: 106367145","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.7749202g in nanograms?\nAnswer: 774920200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 39651055 and 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-6)\/(-8)*-2)\/3*-16. Suppose -2*p = -2*v + n, -v = -4*v + 5*p + 16. Let b(z) = 19 + 3*z**2 + 0*z**v - 19. Let s(o) = 3*o**2. Determine s(b(j)).\nAnswer: 27*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0 (b) -1 (c) -1.1 (d) 3 (e) 0.06\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 11 + -9. Let j be (8\/14)\/(m\/7). Let d be 3\/((-2)\/(-1) - 3). Let y(z) = -4*z**2. Let v(s) = -3*s**2. Calculate d*v(t) + j*y(t).\nAnswer: t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = v**3 - 13*v**2 - 8*v - 11. Let j be d(14). Suppose 40 = 4*p + 5*o - 73, 3*o = 4*p - j. What is the tens digit of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2\/(2 + 8\/(-6)). Let v be 20\/u*(-3 - -6). Suppose -2*j + 655 = 4*l + j, 780 = 5*l - 4*j. Calculate the highest common divisor of l and v.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -y**2 - 13*y - 24. Let d be s(-10). Suppose 3*i - 21 - 123 = 0. What is the greatest common divisor of i and d?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/32 of a tonne in grams?\nAnswer: 93750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m + 18 = -2. Let d be m + 114\/22 - 238\/(-22). Solve 10 = -2*c, 2*c + 7 = -4*f - d for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-1)\/(-5 + (-28)\/(-6)). Suppose 5*f - d*f = 0. Suppose 0 = k, f*g - g = -k. Solve -4*o + 0*o = g for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -87\/2 and 21\/178?\nAnswer: 178","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -16209 + 126\nAnswer: -16083","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2 plus 1.1819?\nAnswer: 0.9819","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -17009 - -17076. Calculate the remainder when f is divided by (-1 - -3)\/(2\/7).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 9517799 to the nearest integer?\nAnswer: 212","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -15*g**3*w*y**2 + 36*g**3*y**2 - 8*g**2*w*y + 3*g*w*y**2 + 3*g*y wrt g?\nAnswer: -90*w*y**2 + 216*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*s - 30 = 48*u - 51*u, -2*u + 5*s + 20 = 0 for u.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*k**2 - 37 + 37)*(3 - k**2 - 3) - 252*k**4 + 117*k**3 + 250*k**4 + 247*k**3 + (2 - 2 - k)*(-2*k + 2*k + k**3).\nAnswer: -10*k**4 + 364*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(4\/7)*h*h)\/(((h\/h**(-10\/7))\/h)\/h*h) assuming h is positive.\nAnswer: h**(8\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -h**2 + 12*h - 6. Let x be (52\/(-20) - -1)\/(2\/(-15)). Let m be t(x). Is 6 + (m\/27 - 6\/(-27)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2085*b**2 + 1338156 - 1338155 + 3152*b**2.\nAnswer: 5237*b**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 46758302?\nAnswer: 2, 23379151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 + 1 + 12*y**2 + 42*y**2 to v*y + d + l*y**2 and give d.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -41740*k + 41685*k = 880 for k.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2064*j - 2075*j - 2152*j - 2*j**3 + 6291*j.\nAnswer: -2*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 47327136 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -n - 1. Let z(o) = 4*o + 4. Let j(v) = -6*x(v) - z(v). What are the prime factors of j(6)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 165\/6 + (-30)\/(-12). Calculate the highest common divisor of b and 75.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-9)\/(378\/(-12)))\/(3\/42). Let v be 0 - (1 + -2 + -13). Let s = 10 - v. Put 1, u, s in descending order.\nAnswer: u, 1, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.5? (a) -2\/7 (b) -1 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 60726 - 511616554\/8425. Let g = u + -3563759\/33700. Let d = -105 - g. Sort d, -4, 1 in decreasing order.\nAnswer: 1, d, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i = -i + 350. Find the common denominator of (-1965)\/i - 3\/7 and (-2)\/(-4)*(-2)\/(-11).\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 3696195, -5 in increasing order.\nAnswer: -5, -4, 3696195","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -8 - -10. Solve -x + q*x - 8 = 2*b, -b = 2*x - 6 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = u - 11. Calculate a(15).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1495667777 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 124523*l + 104453?\nAnswer: 124523","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -38*u**3\/9 + 232*u**2\/9 - 122*u\/3 + 4 = 0 for u.\nAnswer: 2\/19, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 - 1) + (-8 - (9 - 17)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -k**2 - 5*k + 3. Let c be v(-5). Let p(d) = -d**3 + 2*d**2 + 4*d + 1. Suppose 2*m = m + 2. Calculate the remainder when p(c) is divided by m.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (18\/(-8)*(-43)\/387)\/(38\/(-24)).\nAnswer: -3\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/21 in 15, 5, 220, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j - 17 = -r, 2*r + 0*r = -j + 34. What is the greatest common divisor of 153 and r?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -42 (base 9) to base 11\nAnswer: -35","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -31436659*h**2*s**2*w + 26*h**2*s - 667*h*s*w - 5*h*s + 3*s*w - s wrt s?\nAnswer: -62873318*h**2*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*3*-1*(-2*-2*sqrt(171) + (sqrt(171) - (sqrt(171) + 1))*-6 - (1 + -4 + (sqrt(171) - (sqrt(171) - 1*sqrt(171))) + sqrt(171)))**2.\nAnswer: -13770 - 1944*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -262498, -262494, -262472, -262420, -262326, -262178?\n\"Answer: 2*v**3 - 3*v**2 - v - 262496","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4.929 in 10\/19, 1\/8, -5, -2, 1?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t and 2 e when three letters picked without replacement from {e: 6, t: 4}.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*g - 2*c - 30, -2*g - 21*c + 30 = -19*c. Calculate the greatest common divisor of g and 22760.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or -2\/13287?\nAnswer: -2\/13287","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -185 in -7, 2.221, -0.5, 0.3, 5?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2124 - -3248. Calculate the remainder when u is divided by 49.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2530015.\nAnswer: 5, 107, 4729","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.043051 less than 21.9?\nAnswer: 21.943051","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -169\/36 - -40\/9. Let x(f) = f**2 + f - 1. Let d be x(2). Which is the biggest value? (a) d (b) 1\/7 (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3021100303 (base 4) to base 6\nAnswer: -25400311","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -4.4 + -35.096\nAnswer: -39.496","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 15 and 45249.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*a = 3*r - 9, 2*r = -734*a + 731*a - 7 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 417 + -415. Solve -28 = -x*n - 24 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5 - (3 + 0)) + -6.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 10\/(-36) + 9\/(243\/(-6)). What is the nearest to 11 in 2\/21, q, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.017, -0.02, -3\/2, -0.03 in decreasing order.\nAnswer: 0.017, -0.02, -0.03, -3\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5841?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4758)\/(-8736)*-14 + 3\/(-8).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*q**3 + 0*q**3 - 6*q**3.\nAnswer: 4*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.9867l in millilitres?\nAnswer: 9986.7","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -6*((-2)\/6)\/((-6)\/(-9))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 7 - -14. Let q = 12727 - 12723. Solve -q*v - j + 5 = 0 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*d**3 - 3*d**3 + 0*d**3)*(-2*d**2 + 6*d**2 - 2*d**2) - 3*d**5 + 10*d**5 + 10*d**5.\nAnswer: 21*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3*v**5 + 103*v**4 + 6115*v**2 - 12999743*v wrt v?\nAnswer: -60*v**3 + 1236*v**2 + 12230","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((2 - 5 + 1)*(0 - q**2 + 0) - 2 + 3*q**2 + 0*q**2 + 4)*(-93 + 177 - 491*q**2 - 86).\nAnswer: -2455*q**4 - 992*q**2 - 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 2668771 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*n - 540 = -23*n + 39*n for n.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) be the third derivative of 3*j**8\/112 + j**4\/3 + 6*j**2. What is the second derivative of s(o) wrt o?\nAnswer: 180*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 56020 and 156856.\nAnswer: 784280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.0840036 + -0.084. Round i to seven dps.\nAnswer: 0.0000036","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 0.28, -4, 0.2, -21 in decreasing order.\nAnswer: 0.28, 0.2, 0, -4, -21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*q + 22*t - 18*t = 12, -5*q + 6 = 2*t for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -18 + 8. Let m = 10.5 + k. Which is the nearest to -0.2? (a) m (b) 4 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -983\/7 + 995\/7. Determine n, given that -10\/7*n + t + 2\/7*n**2 = 0.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -f + 4. Let w be y(0). Let n = -1.15 - -0.15. Suppose -4*v = -5*v. Which is the closest to n? (a) w (b) -4 (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (110\/(-15))\/(2\/39). Let j = -64 - c. Suppose i = -3*f + 3, 3*i + 0*i - 5*f = j. Solve r + 3 = -2*u, -4*r + r + 3*u = -i for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 121110.\nAnswer: 2, 3, 5, 11, 367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 15 and 563020.\nAnswer: 1689060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 93463 + -760013\/8. Let y = -134987\/88 - w. Calculate the common denominator of y and -18\/5.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 2212 - 122411?\nAnswer: -120144","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert -20c2 (base 15) to base 10.\nAnswer: -6932","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 2719 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 9? (a) 5 (b) 2\/5 (c) -0.0852 (d) 2\/15 (e) -25\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 14\/21 - 467\/3. Let s be x\/(-9) - 6\/27. Suppose -3*o + 47 - s = 0. Solve 0 = -5*p - r + o, 2*p - 2*r = 3*r - 23 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -3 (b) -5 (c) 4 (d) -46 (e) -2\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (265\/(-4611))\/(20\/(-24))\nAnswer: 2\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.0742274 and 5?\nAnswer: 0.371137","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k = 3*b - 15, 2*b - 3*k - 12 = -k. Let x be 14\/4 + b\/6. Suppose -w = -l + x*l - 98, 0 = 3*l - 9. Is w a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -118 = 3*x - 964. Let o = x - 159. List the prime factors of o.\nAnswer: 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-49)\/2940*490)\/7.\nAnswer: -7\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 1084.7 from -2.8.\nAnswer: -1087.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 21330 and 1026?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -12*i**2 + 728*i + 236. Give d(61).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -21a7 + -2464?\nAnswer: -4660","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -771*z**2 - 754*z**2 - 749*z**2 + 1654*z**2 + 622*z**2.\nAnswer: 2*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -9 - (6 - 9) - -10?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 25930?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3025411225767\/39680168 - -307\/450911. Let i = j - 76246. What is the common denominator of i and -69\/44?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 0 - (-21)\/15 - (-6)\/(-15). Suppose -5*t = -16 + f. Let h(x) = -x**3 + x**2 + 3*x. Determine h(t).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = 2*t - 11. Let m be i(8). Suppose -4*p = -27 + 11, 32 = 4*x + m*p. Suppose x*f = -0*f - 3*c + 306, -5*c = -4*f + 363. Is f a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3705*p**2 + 3707*p**2 + 85124*p**3 + 9911*p**3.\nAnswer: 95035*p**3 + 2*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 568 minutes after 10:55 AM?\nAnswer: 8:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor p**2 + 46*p - 96.\nAnswer: (p - 2)*(p + 48)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -a**3 - a**2 - 2*a + 1. Let q(s) = -4*s**3 - 5*s**2 - 3*s + 7. Give -5*n(r) + q(r).\nAnswer: r**3 + 7*r + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2.4545 + 543.3045. Let g = v + -538. What is g rounded to zero dps?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is five quarters of a microgram in nanograms?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3 - -3.1. Let m = -26 + 36. Let n be 10\/m - (-18)\/(-14). Which is the nearest to n? (a) -0.4 (b) -0.1 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2*o*v*z + 2*o*v + 209*o*z - 3*v*z wrt v?\nAnswer: -2*o*z + 2*o - 3*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(1008) - (sqrt(1008) + (sqrt(1008) + -1 + sqrt(1008))*3))*5)**2 + (5*sqrt(63) - (sqrt(7) + -3 + 5))**2)*6.\nAnswer: -65136*sqrt(7) + 5452806","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -109*f - 791 = -2535 for f.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p = -3*f + 17, -p + 4*p - 16 = f. Suppose 0 = -p*z - 111 + 36. What are the prime factors of (-50)\/z*2*3?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -36993, -69492, -101991, -134490, -166989?\n\"Answer: -32499*y - 4494","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*p - 1 = 3*q + 3, 0 = 4*p + 8 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*b**4 - 3*b**4 + 0*b**4 + 6*b)*(0*b - 2*b - 2*b + (-1 + 5 - 3)*(-2 + 2 + 2*b) + 3*b - b + 0*b - 5*b + 2*b + 0*b).\nAnswer: 9*b**5 - 18*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -79 + 82. List the prime factors of (-9)\/3 - (-258)\/(-1 + s).\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 284204?\nAnswer: 2, 227, 313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 51939.\nAnswer: 3, 29, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 21\/(-60) + (-7)\/28. Put a, -4, -1 in descending order.\nAnswer: a, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i + 7 = -3*s, -s - 2*s - 17 = -i. Let p = 353\/2 - 171. Is i equal to p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v = 3*t - 58, 26 + 10 = 2*t - 2*v. Let u be 6\/(-21) - 10\/t. Let n(p) = -2*p - p + 7*p. Determine n(u).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -4*l**3 + 4*l**2 - 3*l + 3. Let k(c) = -c**3 + c**2 + 1. Determine 3*k(f) - s(f).\nAnswer: f**3 - f**2 + 3*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(252)\/sqrt(4)*3.\nAnswer: 9*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 64 + 78. Suppose -s + 0*s = -m. Let q = s - 63. Is q a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1000110111000111 (base 2) in base 14?\nAnswer: -d327","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 736\/(-17) + 0*(-6)\/36. Which is greater: -43 or x?\nAnswer: -43","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6 times 17\nAnswer: -102","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 32175 is divided by 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 39 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + 6 + 2 = 0. Find the second derivative of 8*a**3 - k*a + 0*a - 6*a**3 wrt a.\nAnswer: 12*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -871 by -67.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let -1568*g - 50*g**4 - 7*g**5 + 1533*g**2 + 2855*g**2 - 1675*g**3 - 800 + 121*g**2 + 286*g**4 - 695*g**2 = 0. Calculate g.\nAnswer: -2\/7, 1, 4, 25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -q**2 + 6*q + 6. Let k be u(5). Let s(z) = -z**2 + 11*z + 11. Let o be s(k). Find the first derivative of -o + 0*v**2 + 0*v**2 + v**2 - 3*v**2 wrt v.\nAnswer: -4*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 790055160?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -119305300 to the nearest 1000000.\nAnswer: -119000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 14\/2*26\/91.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q - 2 = 1. Let u be (2\/(-20))\/(q\/4). What is the second smallest value in -4, u, 1\/6?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -7827.73 to the nearest one hundred.\nAnswer: -7800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 0.8776554048 + 10\nAnswer: 10.8776554048","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -3 + 23ca8a24?\nAnswer: 23ca8a21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1\/2 - ((-65159775)\/2)\/9. Suppose 3*j + 3620012 = -6*i + i, 3*j = 5*i + o. What is i rounded to the nearest 10000?\nAnswer: -720000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 30 and 2695.\nAnswer: 16170","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3 or -55?\nAnswer: -55","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -29 - -26 - (-1 - (-1)\/(-2)).\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*z**4 + z**4 + 4*z**4 + (2*z**3 + 0 + 0)*(-5*z + 2*z + z) + z - z - 2*z**4.\nAnswer: 4*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 47, -2, 0.\nAnswer: -2, 0, 47","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2 - 4. Let l be 3\/s*(-336)\/8. Suppose -a = -82 - l. Is a prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = 1353*w - 144792. Determine t(107).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l - 6 = l. Sort l, 4, 5, -4 in increasing order.\nAnswer: -4, l, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 660*s + 47*s - 382*s - 8125 = 0 for s.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 0 - (-46)\/10 - 28\/(-70). Let a be i*(1 + 3 + -3)*19. Factor -183 - 6*y + 92 + 2*y**2 + a.\nAnswer: 2*(y - 2)*(y - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w\/w**(-1\/6)*w*(w**1\/w)\/w)\/(w**(-3)*w*w\/(w**(2\/5)*w)))\/(w\/(w\/w**(-5))*w\/(w\/w**(-2\/5))*w\/(w\/(w\/w**3))*w\/w**6) assuming w is positive.\nAnswer: w**(479\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: ((-3)\/14)\/((-42)\/(-84))\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 - -59) + (-94 + 27 - -45)?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1597 = -27*x + 1921 for x.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + -9 + -2 + -43 + 30?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = x**3 + 50*x**2 - 713*x - 35915. Give y(-50).\nAnswer: -265","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -128*t - 52*t + 162*t - 440 - 124*t wrt t?\nAnswer: -142","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or 54\/917?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 3\/2*28\/(-7). Let f(k) = -5 - 4*k - k**2 + 18*k**2 - 23*k**2 + 3 - k**3. Give f(m).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-14)\/5*21\/(-147). What is the biggest value in -80, u, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2183 - 1246 - 1297 - 2364)*(-4*s**2 + 2 - 2).\nAnswer: 28360*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.332 + 0.032. Let a be (-3)\/(-3) - 1\/3. Put -0.2, a, f, 0.4 in ascending order.\nAnswer: f, -0.2, 0.4, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2.8 - -2.3. Which is the third smallest value? (a) -4 (b) x (c) 6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -5*c**3 + c**2 - c - 2. Let k be n(-1). Solve 0 = k*r - 3*r - 2 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-18)\/8)\/((-1)\/28). Is r at most as big as 64?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 - -6 - (20 + (-196 - -177)) - (9 + -1)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 18? (a) 2\/11 (b) -4 (c) -17 (d) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*p = -3*p + 170. Solve -2*l = 2*l - 2*j + p, -3*j = -4*l - 5 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g - 70 = -2*d, -29 + 93 = 2*d - 5*g. Let r(s) = -s + 23. Let c be -9 - -11 - (-7 + -1). Calculate the remainder when d is divided by r(c).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -86, -61, -36, -11, 14?\nAnswer: 39","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.1 - -5.9. Let h be ((-4)\/(-12))\/((-14)\/(-6)). Sort h, n, -3 in increasing order.\nAnswer: -3, h, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(3 + 5*(-1 + sqrt(108)) + -2) + 0.\nAnswer: -8 + 60*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 41057 a multiple of 38?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -q**2 + 13*q + 13. Let c(p) = p**2 - 4*p + 7. Let m be c(5). What is the tens digit of i(m)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*d + 7*d - 8. What is the tens digit of (0 - d) + 31 + 0?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -188 or 989?\nAnswer: -188","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = 2*m**3 + 2*m**2 + m. Calculate g(-6).\nAnswer: -366","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -39*w**3 - 3*w**2 + 3*w. Let m(k) = 34*k**3 + 2*k**2 - 2*k - 1. Calculate 7*m(o) + 6*z(o).\nAnswer: 4*o**3 - 4*o**2 + 4*o - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 - -7 - -2 - 7\/3?\nAnswer: -7\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -7*v**2 - 7*v - 13. Let q(t) = 4*t**2 + 3*t + 7. Let y(w) = -3*i(w) - 5*q(w). Let n be y(-6). What are the prime factors of (-1)\/4 + 13\/n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1820584 and 173728.\nAnswer: 712","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) be the first derivative of -z**4\/4 - 8*z**3\/3 - 7*z**2\/2 + z + 7. Determine s(-7).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5 + 2 - 86*l**2 + 3.\nAnswer: -86*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*r**3 + 2*r**4 - 6*r**3 - 6*r**4 + (2*r**4 - 3*r**4 + 2*r**4)*(-3 + 0 + 4) + 6*r**3 + 2*r**4 - 6*r**3.\nAnswer: -r**4 - 4*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) be the second derivative of -h**3\/6 + 65*h**2\/2 - 23*h. Let t be d(0). Suppose 46*a - 51*a + t = 0. Calculate the remainder when a is divided by 8.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -461 - -34436?\nAnswer: 33755","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0169 + 0.194?\nAnswer: 0.1771","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0 (b) -2.33 (c) 1\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2\/4285, -80, 1\/4, -1\/7?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -547 + 684. Is x bigger than 407\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 4 (b) 6.9 (c) -9 (d) 3 (e) 0.2 (f) 169\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -2*v**2 + 6*v - 6. Suppose 0*c + 2*c = 12. Let p(m) = 2*m**2 - 5*m + 5. Let f(t) = c*p(t) + 5*y(t). Let q(w) = -2*w**2. Calculate f(q(z)).\nAnswer: 8*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -398*l**2 - 531*l + 36. Let i(s) = -1194*s**2 - 1593*s + 117. Let n(p) = 8*i(p) - 26*j(p). Find the second derivative of n(z) wrt z.\nAnswer: 1592","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + 13 = -1. Let p(a) = -a**2 - u*a + 14*a + 2*a**2. Let k(q) be the first derivative of 3*q**2\/2 - 2. Calculate k(p(j)).\nAnswer: 3*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put 9, -133, -6, -5 in descending order.\nAnswer: 9, -5, -6, -133","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 11*c**2*r*x - 29764*c**2*x + 462*c*r*x + 3*c*r wrt r.\nAnswer: 11*c**2*x + 462*c*x + 3*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*z = -0*h + 2*h, 3*h = -15 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 38*x = 5*v + 34*x - 35, v + 2*x = -7 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -5 + 17. Suppose z + 5*d = -b, 0*z - 2*z - 19 = 5*d. Let p(g) = g**2 + 8*g + 10. Let o be p(z). Solve -o = x - 7 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -21 - (35\/14 + 9\/(-6)).\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find n such that 6*n**3\/5 + 1694*n**2\/5 + 23970*n + 39762\/5 = 0.\nAnswer: -141, -1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 104310.\nAnswer: 2, 3, 5, 19, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = q**2 - 2*q - 52. Let m be s(-7). What is the units digit of (-22)\/m*(-37)\/2?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -9 (b) -642562 (c) 2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**(-1\/15)*q*(((q\/(q\/q**(-17\/3)))\/q)\/q)\/q assuming q is positive.\nAnswer: q**(-116\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dsddkttzksqddzdzds. What is prob of picking 1 q and 2 z?\nAnswer: 1\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -56*d**2 + 57*d**2 + d - 2*d**3 + 2 - 3*d**4 + 2*d**4 to q*d**3 + p*d**4 + k*d**2 + y + z*d and give k.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 11298646?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) be the second derivative of -n**9\/1512 - n**8\/840 + n**7\/420 + n**6\/180 - n**3\/3 + 5*n. Let x(k) be the second derivative of l(k). Factor x(b).\nAnswer: -2*b**2*(b - 1)*(b + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 43645931 and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(-3 + sqrt(3))*-3.\nAnswer: -6*sqrt(3) + 18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + 6 + 14 = 4*r, 5*z + 5 = 5*r. Solve -2*h + 5*h = r for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 274 minutes before 7:49 PM?\nAnswer: 3:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - 5*h + 398 = -2*u, -5*u - 518 = 4*h. Let w = u + 102. Solve 25 = -w*s + 5*s for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*u + 2 = 2*v - u, 0 = -5*v - 2*u + 26. Suppose -104 = -c + v. Calculate the highest common factor of c and 66.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 684, 4953, 16386, 38565, 75072?\nAnswer: 129489","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 0.4 (b) 0.5 (c) 1\/48\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 69297038843 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = u**2 + 8*u + 5. Let s be b(-5). Sort -2, s, 0.4, -0.2.\nAnswer: s, -2, -0.2, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -401 + 401. Suppose -209 = -5*p + q, w*p = 4*p + 4*q - 172. Calculate the remainder when 120 is divided by p.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d + 0*d = 18. Let p be (((-6)\/(-10))\/(16\/80))\/1. Let g be 3\/d*2*p. Solve 3*f - g = -10 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/6)\/((-80)\/360*(-6)\/(-44))\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (66\/(-55))\/(4\/(40\/10))*(-170)\/(-1683)\nAnswer: -4\/33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 35230313 (base 6) in base 12?\nAnswer: 448399","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n = -3*i + 24, -i - 4*n = -0*n - 23. Is 5\/3 smaller than i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1 + 3. Solve -5*u = -4*s - 13 + 2, 4*u + x*s = 16 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1017 (base 14) in base 7?\nAnswer: -11030","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/7, -3, -12, 0.223, 0.86, 4.\nAnswer: -12, -3, 0.223, 3\/7, 0.86, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -24*(6604\/78)\/127\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1.94 + 2. Let r = 3384.64 + -3384.6. What is the nearest to r in c, 1, -2?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 5\/2 + -2. Let j(w) = w + 2. Let n be j(2). Suppose -4*u - 12 = n*g, 3 = -5*u - g - 16. Which is the third biggest value? (a) u (b) -3 (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1309.\nAnswer: 7, 11, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-6)\/30 - 92\/40. Let j = -0.019 - 0.981. Which is the closest to 1? (a) o (b) j (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1239 = -88*a + 85*a. Is a prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -29 + 9 + 12 + 1?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 124930622 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -1\/6 (b) -1\/7 (c) -1 (d) -6 (e) 2\/17 (f) -5 (g) -0.7911\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((x\/x**0)\/x*x*x)\/(x\/x**3)*(x**(-1\/8)*x)\/x**2)\/((((x\/x**(2\/9))\/x)\/x**(2\/7))\/(((x**(-3\/4)\/x)\/x)\/(x*x**(-2\/5)\/x))) assuming x is positive.\nAnswer: x**(2603\/2520)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 199.1645 millennia in years?\nAnswer: 199164.5","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 - 4 + 3)*(-5*a**4 - a**4 + 4*a**4) - 20*a + 4*a**4 + 18*a - 5*a**4 to the form l*a**2 + g*a + k*a**4 + w*a**3 + c and give k.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 378038 to the nearest integer?\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 431808 divided by 6\nAnswer: 71968","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + 206 = c - 4*o, -4*o = 5*c - 585. Suppose -c = -4*n + 271. Suppose 5*b - 199 - n = 0. What is the units digit of b?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = 34*q - 11. Let s(w) = -16*w + 5. Calculate 3*d(m) + 7*s(m).\nAnswer: -10*m + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*g - 5*g + g)*(0*g**3 - 5*g**3 - 3*g**3).\nAnswer: 16*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -5805 + 71?\nAnswer: -5784","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*2*(-4*((sqrt(147) - (2 + 0 + sqrt(147))) + 3))**2*-6*1.\nAnswer: 384","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 0 - -4 - (288*-31)\/8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -897.022 - -895. What is g rounded to one decimal place?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 101010100010 + 10001?\nAnswer: 101010110011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -3 divided by -11\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 23\/877194 and -13\/877194.\nAnswer: 877194","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + sqrt(153))*2 + sqrt(102)\/(sqrt(12)\/(2*sqrt(2)) + sqrt(6)) + -2.\nAnswer: 20*sqrt(17)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 50\/(-40)*2\/20\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) be the first derivative of 35*r**4\/4 - 335*r**3\/3 + 380*r**2 - 460*r - 5417. Let p(c) = 0. Calculate c.\nAnswer: 1, 2, 46\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1546 a factor of 636640205?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 335924015 to the nearest 10000.\nAnswer: 335920000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = 566*j - 294. Let i(a) = 1133*a - 585. Let y(c) = -3*i(c) + 5*u(c). What is the derivative of y(v) wrt v?\nAnswer: -569","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1.8 + -13.2. Let w = 26 + a. Let z = 10.86 - w. Round z to 1 dp.\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence szt when three letters picked without replacement from zzsztssssttzszt.\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -480\/37 + 2839\/370. Let c be ((-12)\/(-10))\/(9\/60). What is the common denominator of z and (-2 + 87\/c)*-2?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*v**4 - 170*v**3 + 602*v**2 - 438*v = 0.\nAnswer: 0, 1, 3, 73\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s + 5*o + 42 = 0, 0*o - 3*o = -3*s + 54. Let p = s + -6. Let x = p - 8. Put -5, x, -1\/2 in descending order.\nAnswer: x, -1\/2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in -0.2, -1, 19, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:43 AM and 8:47 AM?\nAnswer: 244","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1491601?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 660191?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -2*m**2 + 26. Let i(h) = -219*h**2 + 84*h**2 + 112*h**2. What is i(d(a))?\nAnswer: -92*a**4 + 2392*a**2 - 15548","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + 0*h = 5*h - 2, 0 = -3*z - 5*h + 3. What is the remainder when 11*(z - (-3 + 3)) is divided by (-1 + 0)\/((-2)\/6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -d**3 + 7*d**2 + d + 3. Let p be j(7). Suppose 2 = 4*g - p. Does 9 divide (-2 - (-2 + g))*-4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h - 300 = -h + 3*u, -2*u + 216 = 2*h. What is the remainder when h is divided by 19?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -16613, -66447, -149519, -265841, -415425?\nAnswer: -598283","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1037404240?\nAnswer: 2, 5, 29, 43, 10399","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11 (base 2) to base 10.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*j**3\/21 + 1126*j**2\/21 - 1168*j\/7 - 20376\/7.\nAnswer: 2*(j - 9)*(j + 6)*(j + 566)\/21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 18 and 25268?\nAnswer: 227412","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 82\/126 - 4\/18. Let d = -13 + 14. Let a = 171\/4 + -43. What is the closest to 0.1 in d, h, a?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (((-104)\/4)\/338)\/((-7)\/91)*-68\nAnswer: -68","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 160153*k - 369465*k - 148035*k.\nAnswer: -357347*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-15 - 1 - -2)\/(-2). Suppose 5*u = -10, -7 = -2*v + o*v - 4*u. Let l be 1\/((-164)\/(-54) + v). Calculate the highest common divisor of l and 18.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -3.45047826 to 0 dps.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-832)\/(-64))\/(767\/885).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -8\/7 and -5\/311043.\nAnswer: 2177301","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 675 to the power of 1\/2, to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -32*q**3 - q**2 - 2*q - 1. Let r be o(-1). Suppose -18*d = 17*d - 420. Suppose -2095 - 1361 = -d*f. Calculate the highest common factor of f and r.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/2 in 7, -2\/19, 317, 186?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (1 - (-28)\/12)\/(32\/(-48)). Let m be 900\/2970*12*(-1)\/r. Let -2\/11*q**3 - 2\/11*q**2 + 8\/11 + m*q = 0. What is q?\nAnswer: -2, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -0.06 or 1.2?\nAnswer: 1.2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -6552 - -6552.9314. Round h to 1 decimal place.\nAnswer: 0.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000094716 rounded to 7 dps?\nAnswer: -0.0000947","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is five eighths of a litre in millilitres?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 128456175*q - 62493222 wrt q?\nAnswer: 128456175","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 4 - 10)*(-2 - 3 + 0)*(-l + 0 + 0).\nAnswer: -70*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is r in -r**5 + 132133*r**4\/3 - 3699184*r**3\/9 + 3581588*r**2\/3 - 3287968*r\/3 + 2818240\/9 = 0?\nAnswer: 2\/3, 4, 44035","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -154*v**2 - 32*v - 16. Let c(r) = 29*r**2 + 6*r + 3. Let m(q) = 16*c(q) + 3*g(q). Let k(t) = -1149*t**2 - t. Calculate k(m(d)).\nAnswer: -4596*d**4 - 2*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2343 and 234861?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 40, 66, 110, 178, 276, 410, 586?\n\"Answer: v**3 + 3*v**2 + 10*v + 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*s - 3*j = -13*s, 6 = s + 4*j for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -438*i**4 + 2*i**2 + 6*i - 13.\nAnswer: -10512*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -3, 3, -5 in increasing order.\nAnswer: -5, -3, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -353034 divided by -39226\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 80 = 41*z + 2*v, 56*z - 29*z - 29*z - 4*v = 0 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -205*w + 33*w + 344 = 0. Solve 5*n - 29 = a, w*a + 4 = a for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-13)\/((-13)\/24))\/((-69)\/(-23))\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 4374 - 2773. What is the tens digit of b?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*g = 20*g - 2*v + 2, 5 = -4*g + 5*v. Suppose 32*z - 35*z + 810 = g. What is the highest common divisor of 450 and z?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y = -o + 39810, -230*o + 228*o + 79627 = 3*y. What are the prime factors of o?\nAnswer: 5, 7963","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a - 2*r - 2*r = -9, 0 = a + 4*r - 15. Find the third derivative of 0 - 4*z**2 + a*z**5 + 5 - 5 wrt z.\nAnswer: 180*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -62008 divided by 15502.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -2\/7, -1720, 5, -0.3 in ascending order.\nAnswer: -1720, -1, -0.3, -2\/7, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 23411.\nAnswer: 41, 571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-8))**33*s\/s**(-30)*(s*s**17)\/s assuming s is positive.\nAnswer: s**(-216)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 769 is divided by 179?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*l - 9 = 3*h, 0 = -6*l - 4168*h + 4169*h - 20 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*p + 46 = -39. Solve 0 = 2*h - m - 2, 4*m = p*h - 3*h + 4 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -52 - -259. Does 29 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -23 + 23.5. Let d be (-20)\/11 + 14\/(-77). Let v = -6 - d. What is the smallest value in -5, v, l?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -125 - -142. Let i = 9 - 22. Let u be i + 9 + (0 - -7). Solve u*j - z = -2 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 3612128?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 266?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sum -11198434762 and -0.4.\nAnswer: -11198434762.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 i when two letters picked without replacement from {i: 10, b: 4}?\nAnswer: 45\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 54945 to the power of 1\/3, to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express (10*q**3 + 9*q**3 - 6*q**3)*(3*q - 4*q + 11*q + (2 - 3 - 3)*(-4*q + 6*q + 0*q)) in the form t*q + p*q**4 + j*q**3 + b + c*q**2 and give p.\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 231802657?\nAnswer: 231802657","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kssk when four letters picked without replacement from {s: 2, k: 5, v: 3, y: 5, h: 1}.\nAnswer: 1\/1092","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 345 divided by 3\nAnswer: 115","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence klk when three letters picked without replacement from kppkkppkppplkppk.\nAnswer: 1\/112","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2079530?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3678495, 7356991, 11035487, 14713983, 18392479?\nAnswer: 22070975","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2, 10, 5.67, 2\/7?\nAnswer: 5.67","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 399 - 2061.3787?\nAnswer: -1662.3787","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = 37*x + 8. Suppose 3 = 3*g + a, 0 = -3*g - 54*a + 58*a + 18. Give p(g).\nAnswer: 82","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*m + 0 - m**2 + 0)*(-3 + 2 + 2) - 7 - 17*m**2 + 7 to the form g*m + i*m**2 + c and give i.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bub when three letters picked without replacement from {u: 7, b: 3, w: 2, h: 8}?\nAnswer: 7\/1140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = 2*s**2 + 2. Let o = 20410 - 20413. Let n(k) = -2*k**2 - 3 + 4*k - 4*k. Calculate o*q(c) - 2*n(c).\nAnswer: -2*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve h**4 + 1084*h**3 + 301254*h**2 + 4059580*h + 14025025 = 0.\nAnswer: -535, -7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence si when two letters picked without replacement from {y: 3, i: 4, s: 5, e: 1, p: 1, t: 1}.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express t - 4*t + t + (-2*t + 0 + 0)*(-3 + 4 - 3) + 3*t + 8*t - 4*t + (-6 + 4 + 4)*(0*t + 2*t - t) in the form j + z*t and give z.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 332, 926, 1520?\n\"Answer: 594*s - 262","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -5a1b3 (base 12) to base 7\nAnswer: -1013316","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is a7 - -6?\nAnswer: ad","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11.9162774*-0.1.\nAnswer: 1.19162774","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a - 5*l = -0*a + 120, -5*l + 24 = -a. Let u be ((-1360)\/(-24))\/((-2)\/a). Let t = -261 + u. Is t prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -379\/4 - -94. Let v = 1.1 + -1. Let q = -683 + 683. Which is the closest to -1? (a) q (b) v (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = 5*c - 2. Let n(p) = p - 1. Let y(g) = -6*n(g) + u(g). What is the units digit of y(2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 8\/15 of a minute?\nAnswer: 32000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -f, -3*d - f = -0*f - 16. Suppose d*s + 15 = s. Let p = 269\/6777 - 2\/753. What is the second biggest value in p, -3, s?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -k**2 - 8*k + 3. Let w be i(-8). Suppose 3 = w*a - 3. What is the closest to -1 in a, 0.4, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 9677734 and 2807.\nAnswer: 401","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) be the first derivative of -89*v**2\/2 - 42*v - 47. Differentiate a(c) wrt c.\nAnswer: -89","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (5\/4)\/((-18)\/(-24))*6\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -3\/5 (b) 69 (c) -5.23 (d) -2\/13 (e) 10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 0.09 * -186.4\nAnswer: -16.776","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 791 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yyy when three letters picked without replacement from yhyhhhhhyhhyy?\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 8 + 10. Suppose 0 = m - v + 2. What is the units digit of m?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 275270 or 275280?\nAnswer: 275270","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -24016, -47873, -71566, -95095, -118460, -141661, -164698?\n\"Answer: 82*l**2 - 24103*l + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -36*q - 20. Let r be a(5). What is the tens digit of ((-3)\/((-6)\/8))\/1 - r?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/q**(1\/7)*q*q**21*((q\/q**(-2\/15)*q)\/q)**(14\/9))**(1\/18) assuming q is positive.\nAnswer: q**(11633\/8505)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1\/4, 1\/6046, -0.2348?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = 3 - 2*t**2 + 3*t**2 + 5668*t**3 - 2*t**2 + 5*t - 6222*t**3. Is q(-2) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*f**4 - 5*f**4 + 2*f**2 - 2*f**4)*(11*f + 21*f + 4*f).\nAnswer: -72*f**5 + 72*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.5, 3\/7, -2\/113?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*s - 13 = 2*f + f, 24 = 4*s - 4*f for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 2413.909501 to the nearest integer.\nAnswer: 2414","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -77*m + 67. Let h(k) = 2*k - 1. Let z(v) = 88*v - 70. Let b(g) = 5*h(g) - z(g). Let p(q) = 6*b(q) - 4*y(q). Find the first derivative of p(l) wrt l.\nAnswer: -160","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -20 (b) -2\/7 (c) 3 (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 597 is divided by 155?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*n**3 + 3*n**3 + n**3)*(3 - 4 - 3)*(4 - 6 + 0 + (1 + 4 - 3)*(-2 - 3 - 1) - 6 + 0 + 4).\nAnswer: 128*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (-13 - -11)*14\/350?\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-36)\/(-8))\/(3\/(-6)). Let h = 17 + i. Is 3 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lllllllljllljljl. What is prob of sequence jjl?\nAnswer: 13\/560","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -14d79 (base 14) in base 10?\nAnswer: -52047","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -212*b**3 + 4*b**2 + 5*b + 5. Is o(-2) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 193327, 386661, 579995?\nAnswer: 773329","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**(2\/3)\/i*i*i)**(1\/8)*(i**(-2))**(-38))\/((i**(-1)\/i)**(-1\/22)*(i\/i**0)**(-6)) assuming i is positive.\nAnswer: i**(21679\/264)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = j**2 + 6*j + 1. Let o be (0\/(-2))\/1 + 12\/(-3). Determine b(o).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2031 - 1128. What is the greatest common factor of 43 and p?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -3*n - 2. Let h be (10\/(-6))\/((-1)\/(-3)). Let a be s(h). Solve -4*u - 3*v = -2*v - a, 0 = -5*u - 5*v + 20 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -8*k + 211. Determine r(22).\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -9 - -0.16\nAnswer: -8.84","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from koaocoockaoaoco. What is prob of sequence aoa?\nAnswer: 1\/65","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 0.1*184\nAnswer: 18.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a = 5*h + 2*a - 2, 3*a = 4*h + 6. Let d = 0 + h. Let u = d + 6. What are the prime factors of u?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in sixty-seven fifths of a meter?\nAnswer: 13400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 + 13 - 10778*b + 10780*b.\nAnswer: 2*b + 13","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = a**3 + 8*a**2 + 2*a - 14. Calculate v(-7).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j = 5*w + 72, 3*j + j - 288 = 5*w. Solve r + 4*c = 7, 5*r - j*c + 75*c = -16 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -2*f**2. Suppose -18*i - 10*i = -112. Let b(p) = 4118*p. Let q(w) = 187*w. Let m(x) = i*b(x) - 87*q(x). Determine m(h(n)).\nAnswer: -406*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 123, 149, 221, 363, 599, 953?\nAnswer: 1449","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-6 + 2244\/176)*16\/(-48))\/((-3)\/40).\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 30\/(-9)*(-3)\/2. Suppose 3*v + 4*s - 16572 = 0, s - 4*s = -k*v + 27591. What is v rounded to the nearest 100?\nAnswer: 5500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 56280 and 150.\nAnswer: 281400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -142275211.6 + -507?\nAnswer: -142275718.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14607698.\nAnswer: 2, 7, 251, 4157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -151204*v**3 + 286687*v**3 + 293890*v**3 + 170209*v**3.\nAnswer: 599582*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*x - 5*j + 64 - 53, -5*x + 11 = -j. Sort x, -177, 13 in increasing order.\nAnswer: -177, x, 13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n*n\/(n*n**(-2\/19)\/n))\/n**(4\/7))\/(n**(2\/31)\/n**(-1)) assuming n is positive.\nAnswer: n**(1935\/4123)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-9352)\/102204*12\/28.\nAnswer: -2\/51","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 15882480?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*l - 7701 = 90. Is l prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 31796, 63596, 95398, 127202, 159008, 190816, 222626?\n\"Answer: l**2 + 31797*l - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3\/35 in 5, 14, 191?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 10\/8183 and 40\/3507.\nAnswer: 24549","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -8 - (-1 + 7 + -17).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j\/(j*j**(-1\/3))*j**(-1\/4)*j*(j\/(j*j*j**(-28)))\/(j\/(j\/j**(-6\/7)*j)))**(-16\/5) assuming j is positive.\nAnswer: j**(-2012\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put -1.6, -2\/7, 7, 0.09, 5, 2 in descending order.\nAnswer: 7, 5, 2, 0.09, -2\/7, -1.6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (2*sqrt(110)\/(sqrt(10)*-4) + sqrt(66)\/(sqrt(54)\/(sqrt(27)\/sqrt(3)) + sqrt(6) - sqrt(6)) + -1)**2.\nAnswer: -sqrt(11) + 31\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2113123102 (base 5) to base 14.\nAnswer: -8332d6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k = -5*b + 1029573, 7*b + 3*k - 823656 = 3*b. Suppose -b - 196323 = -24*v. Round v to the nearest one hundred.\nAnswer: 16800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2470 and 9880?\nAnswer: 9880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0, 29.05, 2\/17, -0.02211?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 4\/(-28) - (0 - 88\/28). Suppose d = y*d. Determine r so that -2\/7*r**2 - 4\/7*r**3 + d*r + 0 = 0.\nAnswer: -1\/2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -3 (b) 193 (c) 4 (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1317454 to the power of 1\/2, to the nearest integer?\nAnswer: 1148","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) be the first derivative of 125*p**6\/6 + 83*p**2\/2 - 95. What is the second derivative of a(u) wrt u?\nAnswer: 2500*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -35*f = -73*f + 38*f + 22*w - 23*w + 3, 65 = -4*f - 17*w + 8*w for f.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -9*f + 5. Let j(n) be the second derivative of 5*n**3\/3 - 3*n**2 - 1138*n. Suppose 3*m = m. Let a = m - 5. Calculate a*j(u) - 6*c(u).\nAnswer: 4*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yr when two letters picked without replacement from rrynny?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = c**3 + 8*c**2 + 11*c - 12. Suppose -z + 5*o + 2 = 0, -57 = -5*z + 2*o - 1. Let k be d(z). What is k rounded to the nearest one thousand?\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3 - 1. Let a = -38277 - -38276. Sort t, -14, a in descending order.\nAnswer: t, a, -14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -2*m + 10. Let w(x) = 34*x - 15. Let q be w(4). Suppose -85 + q = 6*v. Calculate z(v).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-28 - -24) + (-1 - -5).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 8, -2379, 5, -168 in descending order.\nAnswer: 8, 5, 0, -168, -2379","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 34 + -36. What is the fourth biggest value in -1\/2, -4\/3, h, -2\/7?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f + 3*b + b = -1452, -2 = b. Suppose -2*o = -4*p - 184 - 186, 4*p - 5*o + f = 0. What is the tens digit of p\/(-1)*(6 - 5)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -24 - -27. What is the units digit of 39 - -4*(i + -4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -23, -20, 3, 31 in descending order.\nAnswer: 31, 3, -1, -20, -23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 28 and 3805046.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24*b = 55 + 41 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2 - 3. Let m be -1 - (-9)\/(-3)*l. Suppose -m*c - 2*c = -152. Does 19 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1082970 divided by -8022\nAnswer: 135","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 31 divide 3844?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) be the third derivative of v**6\/360 + v**4\/24 - 4*v**2. Let t(s) be the second derivative of b(s). Let j(l) = -l. Determine j(t(z)).\nAnswer: -2*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -68*b**2 - 7*b + 12. Let f(z) = 66*z**2 + 6*z - 10. Calculate -6*f(p) - 5*u(p).\nAnswer: -56*p**2 - p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 95725 is divided by 149?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10 is divided by 1 - -2 - (-2 - (-5 + 5)).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in three tenths of a milligram?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 - 5 - -3 - 11?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t**9*(t**(-2\/3)\/t)\/t*t**(3\/8)\/t**(-4\/13) assuming t is positive.\nAnswer: t**(2189\/312)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2275 and 5200?\nAnswer: 36400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 955184082 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (2 + -2)*(-4)\/(-8). Suppose 5*b + 25 = 0, i = 3*n - 2*n + 3*b + 11. Find the second derivative of 17*h**4 - 7*h - 4*h - 14*h**n + h wrt h.\nAnswer: 36*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 285?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1150\/(-3450)*(-25 + 1 + (0 - 3))?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4360445988?\nAnswer: 2, 3, 31, 11721629","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 60499960 to the power of 1\/2, to the nearest integer?\nAnswer: 7778","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is -2 >= 137?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 7, d: 2, y: 4}. What is prob of sequence yd?\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -u**3 + 5*u**2 + 251929*u - 1763409. Determine g(7).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -221, -222, 19, 622, 1707, 3394, 5803, 9054?\nAnswer: 13267","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 57 + -188142?\nAnswer: -188074","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is (-6)\/9*(-3 - -6)*54037\/(-2) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -q - 21. Let x(r) = -13*r + 10. Let n be x(3). Let h be j(n). Let w(c) = c**2 - 5*c - 11. Calculate w(h).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (144\/40)\/(-5 + 329\/70)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y = 3*j + 5, -2*y - 4 = 2*y. Let b = 1 - j. Suppose z - b*z + 52 = 3*v, -2*v - 3*z = -23. What is the tens digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = 3*c - c + 3*c. Let n = -11 - -15. Let t(x) = -4*x - 1 + n - 3. What is -3*i(a) - 4*t(a)?\nAnswer: a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*c = 13*c. Let g be (-2)\/7 - 30\/(-7). Solve c = -g*v - 6 - 10 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a micrometer in nanometers?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1794589533 + 1794589384.00000268. Let x = -149 - g. What is x rounded to seven dps?\nAnswer: -0.0000027","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -41 and 163.\nAnswer: -6683","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 2\/(-7)*2 + (-743)\/84 and -71\/2?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -38*i - 7. Let h be 1\/1*-10*(-2)\/(-4). Let u be n(h). Suppose -u = -l - 16. List the prime factors of l.\nAnswer: 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(1\/4)*x)\/x)**(3\/7)\/(x\/(x\/x**(-1)))**(-2\/39) assuming x is positive.\nAnswer: x**(61\/1092)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -20, -18, -16, -14?\n\"Answer: 2*y - 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w - 45 = -w. Let k(s) = s**2 + 15*s + 15. What is the remainder when k(w) is divided by 8?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 59313 and 425?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2823 + 2824. Let q(x) = -10*x**2 + 2*x - 2. Calculate q(n).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c - 25 = -7. Let z = 127 - 123. Let h(d) = 7*d**3 - 4*d**2 + 4. Let n(r) = 15*r**3 - 9*r**2 + 9. Give c*h(l) + z*n(l).\nAnswer: -3*l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -22, -121, -394, -925, -1798, -3097?\n\"Answer: -14*z**3 - 3*z**2 + 8*z - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = 524156*d. Let g(f) = -32*f**2 + 2. Determine g(w(x)).\nAnswer: -8791664394752*x**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6825\/(-260))\/(6\/((-24)\/5)).\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1070 + 1070.4. Sort -2, -2\/15, 1\/11, f in descending order.\nAnswer: f, 1\/11, -2\/15, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vv when two letters picked without replacement from {o: 1, y: 2, v: 6, k: 4}?\nAnswer: 5\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17*t - 2*t - 1 + 5 + 0*t.\nAnswer: 15*t + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11111001101100 - 0?\nAnswer: -11111001101100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -143 and -0.3?\nAnswer: 42.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.19, 0.26, 34, 9\/5, 1\/2.\nAnswer: -0.19, 0.26, 1\/2, 9\/5, 34","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 490644 is divided by 1668.\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 36 divide 80303?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express o + 25 - 2*o - 210 in the form b + i*o and give b.\nAnswer: -185","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*r = q - 8, 14*r - 4 - 10 = 0 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*w + 6*w + 3*w + 7*w**2 + 4*w.\nAnswer: 7*w**2 + 24*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -2\/3 (b) 4\/7 (c) 31\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) -2\/3 (b) 0.3 (c) -4 (d) 4 (e) 0.15465\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 18512625.\nAnswer: 3, 5, 49367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -13 + 1232032312?\nAnswer: 1232032244","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = l**3 - l**2 - 7*l - 11. Is g(6) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find s such that -s**2 + 60*s + 61 = 0.\nAnswer: -1, 61","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -b63 - -30266?\nAnswer: 2b303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2 + -2. Let s be 17\/(-119)*245\/(-42). Let m = -10\/13 + 116\/117. Which is the second biggest value? (a) d (b) m (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5*l + 2*l - 6*l)*(2*l**2 + 953 - 29*l - 480 - 475) to b*l**3 + f*l + h + q*l**2 and give f.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 156\/8 - (-1)\/(-2). Let q = h - 12. What is the units digit of q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 43721910 is divided by 2672?\nAnswer: 2646","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 128301419 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 6493 - -138497. Suppose -u = 5*a - 2*n, a - 3*a = 3*n + 58015. What is a rounded to the nearest ten thousand?\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*b + b - 2*b)*(1 - 3 + 1) - 192355 + 192355 + 787*b as a*b + h and give a.\nAnswer: 788","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((441\/(-588))\/(((-60)\/54)\/10))\/(6\/(-64)).\nAnswer: -72","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 62 minutes before 8:46 PM?\nAnswer: 7:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 94.65984 millilitres?\nAnswer: 0.09465984","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*c - 28 = -5*m + 3*c, 3*c = m - 8. Let z = m - 3. Suppose 0 = -5*x - 15, -4*x = f + 5 + 5. Is f >= z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:02 AM and 9:59 AM?\nAnswer: 117","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1 - -9. Suppose 2*f = 5*m + 91, 3*f + 2*f + 4*m - 178 = 0. Calculate the remainder when f is divided by k.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -501a (base 12) to base 9.\nAnswer: -12784","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is b3c4 (base 15) in base 5?\nAnswer: 2203414","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 6285722453 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1683?\nAnswer: 3, 11, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 6\/4*(-20)\/(-6). Calculate the greatest common factor of 35 and d.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*u - 24, 5*h - 3523 - 6771 = -u. List the prime factors of h.\nAnswer: 2, 5, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 8698308 and 156?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 6466244 and 126636.\nAnswer: 244","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in seven eighths of a litre?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = 498*n. Let g be m(-1). Is ((-2)\/4)\/(3\/g) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -22 (base 3) to base 6.\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -5*f - 104. Let y be h(-22). Let c be (-7 - -8)\/(1\/2). Solve 2*m + c = y for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g + 89604 = 3*d, -1844*d = -1842*d + 3*g - 59726. What is the hundreds digit of d?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -2*f - 34. Let v(b) = -2*b - 33. Let j(u) = 6*v(u) - 5*z(u). Let t be j(-12). Put -5, 1, t, -1 in decreasing order.\nAnswer: 1, -1, t, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 754760 to the nearest integer?\nAnswer: 869","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -9\/2093 - 131737\/167440. Let k = 1\/112 - v. Let x = -7 - -12. Which is the nearest to 0? (a) k (b) 2\/9 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -123\/10 and (327\/(-27))\/(20\/(-15))?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-6*g**3 - 2*g**2 + g**3 + 11*g - 9*g)*(-1466 + 21*g + 1466) in the form x*g**2 + a + v*g**3 + p*g + u*g**4 and give x.\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -i**3 - 7*i**2 + 4. Let v be a(-5). Let z = v + 78. Calculate the remainder when (-186)\/4*(-2 + 0) is divided by z.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 23 - 13*l**2 - l**2 + 2*l**2 - 262*l**6 + 16 - 43 wrt l.\nAnswer: -31440*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(114) - ((1*sqrt(114) - sqrt(114)) + sqrt(114))*3)\/(sqrt(24)\/sqrt(4)*-4) + -1 + ((sqrt(57)*-2)\/sqrt(3) - sqrt(133)\/sqrt(112)).\nAnswer: -7*sqrt(19)\/4 - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:30 AM and 5:35 AM?\nAnswer: 305","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -f**3 + 148*f**2 + 1409*f - 53. Calculate s(-9).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (8\/2)\/(7 + 17\/(-3)). Let j be ((-94)\/l)\/(4\/(-6)). What is the second derivative of -j*b**3 + 90*b + 103*b - 181*b wrt b?\nAnswer: -282*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 15 - 11. Suppose 2*c - 165 = -3*l + a*l, 0 = -5*c - 4*l + 432. List the prime factors of c.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is 665 minutes after 9:44 PM?\nAnswer: 8:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.368576077 rounded to three dps?\nAnswer: -1.369","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 3 and 742698893?\nAnswer: 2228096679","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -86657400 rounded to the nearest 1000000?\nAnswer: -87000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*w + 183 = -168*w + k - 2057, 5*w + 2*k = 3*k - 56 for w.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*p - 57*p = -726 for p.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Add together 24 and -5099.8865124.\nAnswer: -5075.8865124","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) be the first derivative of -4*g**3 + g**2 - 131*g - 165. Differentiate m(w) wrt w.\nAnswer: -24*w + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 11\/(-1)*(0 + 1). Suppose 4*c + 0*g + 2*g - 8 = 0, 3*c + 7 = 5*g. Put c, -5, i in decreasing order.\nAnswer: c, -5, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -24*p**6 + 0*p**4 + 14*p**6 + 0*p**4 + p**2 wrt p?\nAnswer: -1200*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -68*g + 11655903 - 2863571 = 0. Is g a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -f + 2. Suppose 2*t - f = -3. What is the units digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) be the second derivative of -m**5\/10 + 3*m**4\/2 + 7*m**3 + 11*m**2 + 171*m. Factor w(h).\nAnswer: -2*(h - 11)*(h + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 59489 + -38942. What is the tens digit of p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13697 to the power of 1\/3, to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*g**3 + 0*g**3 - 3*g**3)*(2*g + 2*g**2 - 2*g + (-g + 2*g - 2*g)*(0 - g + 0) - 4*g**2 + 0*g**2 + 2*g**2 - 1533 + 1533 + 1291*g**2).\nAnswer: -1292*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 292 is divided by 12?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -22835006 - 2359715\nAnswer: -25194721","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) be the third derivative of -r**5\/210 - 317*r**4\/7 - 1205868*r**3\/7 - 583*r**2 - 3. Let f(l) = 0. Calculate l.\nAnswer: -1902","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 - (3 + (3 - (7 - -2))).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 177087 is divided by 8401?\nAnswer: 666","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*w**3 + 97569*w**2 + 292734*w.\nAnswer: -3*w*(w - 32526)*(w + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-15)\/(-30))\/(2\/(-12))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*f**3 + 5*f**3 + 2*f**3 + (-2 + 0 + 0)*(16*f**3 - 30 + 30) as x + s*f**3 + a*f**2 + c*f and give s.\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 172128706 divided by 2\nAnswer: 86064353","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 255 is divided by 85.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 9138913 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -1231062 (base 8) in base 5?\nAnswer: -41344110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = 8*o - 3. Let n = 116 + -64. Let m = 58 - n. List the prime factors of l(m).\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (60*(-86)\/(-13545))\/((-135)\/(-105)).\nAnswer: 8\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let 136*f**5 - 20*f**2 + 24 - 2*f**3 + 8*f**4 + 8*f - 8 - 138*f**5 = 0. Calculate f.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d + 8 = 7*d. Suppose d*x + x = 15. Suppose 0 = -2*z - 4*m + 52, 7*m = x*m + 20. Does 16 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oooj when four letters picked without replacement from ojojpoo.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -415\/87 + 119\/29. Calculate the common denominator of -9\/4426 and s.\nAnswer: 13278","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h - 562 = -4*n, -4*n - 29*h = -32*h - 587. Calculate the smallest common multiple of 24 and n.\nAnswer: 3432","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 113 - 53. Suppose 4*s = -s - d. Let h = -4 - s. List the prime factors of h.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1775?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5407 to the nearest integer?\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*d + d - 3*d + d - 3 + 3 + (-2 + 7 - 3)*(3*d + 4*d - 6*d) + (-4 + 6 - 3 + (-1 - 3 + 22)*(-1 - 2 + 1))*(-1 + 2*d + 1) in the form b + p*d and give p.\nAnswer: -69","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -53\/7 (b) -0.4 (c) 0.03 (d) -2 (e) 20\/11 (f) 1\/10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 152 and 8?\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11572999.\nAnswer: 11572999","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + -6 + 4 + -10.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-11)\/(v**(2\/7)*v)*v**(-14\/3)*v**14)**24 assuming v is positive.\nAnswer: v**(-496\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express (n - n - 2*n)*(0 + 2 + 0)*(1 - 2 + 5)*(2 - 3*n - 2) as c + r*n**2 + q*n and give r.\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = 10*o**2 - 2*o + 1. Let y(x) = -x**2 + x + 1. Let u be 10\/70 + (-1)\/7. Let m be y(u). Determine a(m).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -12 + (-130207)\/1995 - -78\nAnswer: 11\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.6 in -0.4, 0.3, -51, -1\/4, 3?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = 6*i - 2. Let b be w(2). Let o = b - 14. Which is bigger: -5 or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (6 + 90\/(-12))*((-5)\/1 - -3). Solve v = -b*a - 4, 14*v = 4*a + 9*v - 1 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 79 divide 11771?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 111*a*k**4 + 57*a*k + 9390*a + 2637*k**5 - 2 wrt k.\nAnswer: 1332*a*k**2 + 52740*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 904724, 904947, 905168, 905387, 905604, 905819, 906032?\n\"Answer: -o**2 + 226*o + 904499","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/5 in -1.14, -1, -0.3, -0.104?\nAnswer: -0.104","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o\/(o**(-1)*o*o))\/o)**(-20)\/(((o**(-3\/7)\/o)\/o)\/o*(o*o*(((o*o*o*o**8\/o)\/o)\/o)\/o*o*o)\/o) assuming o is positive.\nAnswer: o**(94\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(-1*sqrt(72) + sqrt(72)) + 6*sqrt(72)*1 + -3.\nAnswer: -3 + 36*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1223 (base 4) to base 15.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 76122 to the nearest integer?\nAnswer: 276","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -49 divided by 17597?\nAnswer: -49\/17597","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 73335550 divided by -5.\nAnswer: -14667110","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 85 + -26. Let h = s - 49. Let j = -141 - -989\/7. Is j greater than h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*g + 998 = -18*g. Is g a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 57\/5 of a gram?\nAnswer: 11400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ltjadmj. Give prob of sequence ljtm.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1267 + 1267. Let z = -74 + 72. What is the closest to 0.28 in -1\/5, z, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 729 = -3*r - r, -4 = -2*r. Let k = f - 384. What is the units digit of k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3028467 milligrams in tonnes?\nAnswer: 0.0000000003028467","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -125 (base 15) in base 8?\nAnswer: -404","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*u = -4*u + 16. Suppose -3*t + 15 = 4*q, -u*q = t - 5 - 8. Calculate the least common multiple of 30 and (8 - -3)\/(q\/6).\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -z. Let g be (-1)\/(3 - 1)*(-220)\/2. Let w = 57 - g. Let k(i) = -i**2 + 19*i**w + 5*i**2 - 2*i**2. Calculate k(r(f)).\nAnswer: 21*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = 10*c + 10. Let f be 4*((-5)\/(-2) + -2). Suppose 6 = 3*a, 2*v + 2 = v + f*a. What is the units digit of n(v)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -97.5 - -213. Let k = h + -115. Which is the second smallest value? (a) 0 (b) k (c) 0.09\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 9779021?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hvvhbnvmvvvhmv. Give prob of picking 1 b, 1 m, and 2 v.\nAnswer: 6\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 164987?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express -7 - 77*i**2 + 234*i**2 - 82*i**2 - 77*i**2 - i**4 - i - 2*i**3 in the form f*i**4 + o*i**3 + r*i**2 + w*i + p and give w.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 62240 to the nearest integer?\nAnswer: 249","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 1375.333ug?\nAnswer: 0.000001375333","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 18430080?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q + 3*q - 3490 = p, -4*q - 4*p = -2768. What is the tens digit of q?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -99599, -100021, -100725, -101711, -102979, -104529, -106361?\nAnswer: -108475","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -4.91 + 0.91. What is the nearest to 2 in 0.2, q, 4\/9?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 2870259.905 and 78.\nAnswer: 2870337.905","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/4? (a) -6 (b) -0.17 (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = s**3 + 10*s**2 + 6*s - 6. Let g be p(-8). Is 84 >= g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-178)\/6)\/(4*6\/(-72)). Let r = f + 341. List the prime factors of r.\nAnswer: 2, 5, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = 19*w + 7. Let y(n) = 20*n + 8. Determine -5*a(r) + 4*y(r).\nAnswer: -15*r - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0739 to 3 decimal places.\nAnswer: 0.074","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2\/7*a**3 + 2\/21*a + 4\/21 - 8\/21*a**2.\nAnswer: -2*(a + 1)**2*(3*a - 2)\/21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3 - 3 + 17*p + (2 - 5 + 5)*(-2*p + 0*p - p) + 15 - 21*p - 15 - p + 0*p + 3*p.\nAnswer: -8*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -847 + 840. Which is the second smallest value? (a) -0.05 (b) -0.4 (c) q (d) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ssm when three letters picked without replacement from ssmssssssssssssssmss?\nAnswer: 17\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1013310120 - 1312?\nAnswer: 1013302202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = 46*j + 2. What is u(1)?\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -10*c**4 + 38*c**3 - 32*c**2 - 8*c.\nAnswer: -2*c*(c - 2)**2*(5*c + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.05, -0.44574, 991?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -7*r + 51. Let q(b) = b - 10. Give -11*q(z) - 2*x(z).\nAnswer: 3*z + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -61.5 (b) -5985 (c) -1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -p**2 - 4*p + 73. Let f be h(0). Let s(b) = 123 - f - 71 - b**3. Give s(0).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 49 + -62. Let k = -10 - o. Suppose -k*h - l - 36 = -2*h, -5*h + l - 156 = 0. Round h to the nearest ten.\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -42*l**5 + 56*l**3*p - 2*l**2*p + 131*l**2 - l*p + 15*l wrt l.\nAnswer: -2520*l**2 + 336*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 154221 + -11384. Is n a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 292\/2405 - -6\/185. Let z = -0.8 - -2. Let m = -1.7 + z. Put o, -5, m in ascending order.\nAnswer: -5, m, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 925*p = 1054*p + 2322 for p.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -319.0268 + 0.0268. Let g = -321 - x. Let h = 4 + -1. Which is the smallest value? (a) g (b) h (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = 2*r**2. Suppose -9*f + 10 = -4*f. Let y(m) = 16*m**f - 8*m**2 - m**2. Give y(n(x)).\nAnswer: 28*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-22)\/2*(-2)\/240*-15*8.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -s**3 - 4*s**2 + 176*s - 4. What is y(12)?\nAnswer: -196","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -4, -637163, -13, -5 in ascending order.\nAnswer: -637163, -13, -5, -4, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -3*z**2 - 5*z. Let p(k) = k**2 + 2*k. Let r(n) = -2*m(n) - 5*p(n). Let y(g) = -28*g**2. Give r(y(d)).\nAnswer: 784*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -y**2 - 7*y + 5. Let k be c(-5). Let i = 11 - k. Which is greater: 1 or i?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -8*l*m**2*s - 244913*l*m**2 - 48*l*m*s + 4*l*s - l - 3*m**2*s - 2*s + 1003 wrt m.\nAnswer: -16*l*s - 489826*l - 6*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 13 - 21. Let h = k + 7.6. Which is the nearest to -2\/3? (a) 0.5 (b) -2\/7 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1567, -2405, -3217, -3991, -4715?\nAnswer: -5377","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b = 4*l - 2*l + 25, 25 = 5*l - 5*b. Suppose l = 5*z - z - 12. List the prime factors of z.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 439580021?\nAnswer: 439580021","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express -44*n - 378 + 14*n - 389 + 25*n in the form d*n + t and give t.\nAnswer: -767","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is c in 5*c**4 + 1045*c**3 - 1055*c**2 - 1045*c + 1050 = 0?\nAnswer: -210, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 63 and 45?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -6? (a) -1626 (b) 27 (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 - (-6 - -3) - -4.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 9126.995453 + -9127. What is o rounded to three decimal places?\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + 2*x + 9 = 3*m, 0 = 3*m + 5*x + 7. Suppose 270*w + 192 = 282*w. Calculate the remainder when 1\/(1\/31*m) is divided by w.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 35963 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 13*(-188)\/(-6721)*(-22)\/(-5)?\nAnswer: 8\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is (7\/35)\/(9\/48679155*7) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 430392797 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = 16*h**3 - 3*h**2 - 1. Let a(m) = 17*m**3 - 2*m**2 - 1. Let k(p) = -4*a(p) + 3*z(p). Is 10 a factor of k(-1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.399436192 rounded to 3 decimal places?\nAnswer: -0.399","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = 596*f - 1201*f + 603*f. Let u(l) be the first derivative of -23*l**3\/3 - 1. Calculate y(u(i)).\nAnswer: 46*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*t**2 - 656376*t - 91833840.\nAnswer: -3*(t + 140)*(t + 218652)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-2)\/(4 - 0)*2. Let g be 0 + (-2 - r)\/1. Let x = g - 0. Let m(o) = 4*o**3 - o**2 - o. Determine m(x).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4 + 351*n - 4 - 8*n**2 - 350*n to j*n**2 + d*n + s and give d.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -93 - -97. Suppose 0 = 5*m - 333 - 157. Suppose 3*d = -4*k + m + 47, 184 = s*d + 3*k. What is the tens digit of d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*d**4 + 4*d**2 + 6*d**3 - 2209*d + 2207*d - 5*d**3 to q*d**3 + s*d + f + l*d**2 + j*d**4 and give q.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r**2 - 1430*r - 271752 = 0. Calculate r.\nAnswer: -156, 871","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1010 to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 1958155348?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -44*(-18)\/(-144)*-2.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 210030593.\nAnswer: 1033, 203321","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -706, -708, -710, -712, -714, -716?\nAnswer: -718","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = 2*v**2. Let a(s) = -12*s**2. Give a(p(n)).\nAnswer: -48*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 1842665826 to the power of 1\/7, to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) be the third derivative of i**4\/4 - 11*i**3\/6 - i**2. Let r(a) be the third derivative of 87*a**2 + a**3 + 0*a + 0 - 1\/8*a**4. What is 4*c(n) + 7*r(n)?\nAnswer: 3*n - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is u in -25*u**3\/3 - 380*u**2\/3 + 775*u\/3 + 170\/3 = 0?\nAnswer: -17, -1\/5, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 567 a factor of 847951335?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2391108 and 2610.\nAnswer: 174","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 3\/2*1\/(-3). Let z be 2\/3 + 10\/(-6). Let f(j) = -j**2 - 1. Let y be f(z). What is the biggest value in 2, y, g?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 36912 is divided by 19.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 242104 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 divided by -32?\nAnswer: -5\/32","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2640*z + 1075*z - 230933 - 19212 = -3432*z for z.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 481*x + 69*x + 18611 + 3939 for x.\nAnswer: -41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-890)\/(-105) - (-6575)\/(-789)?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 2, 0, 0.173, -2, -3\/2, -0.03776?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 96592, 96567, 96534, 96493, 96444, 96387?\nAnswer: 96322","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o = 20 - 8. Suppose 0 = -2*f + 3*f - o. What is the units digit of f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7\/(((-1)\/5)\/((-9)\/(-45)))?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = l**3 - 3*l**2 - 14*l + 5. Let x be u(5). Let z(t) = 2*t**2 + 23*t - 30. Is z(x) a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 456 minutes before 4:20 PM?\nAnswer: 8:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = 0 - 3 - 2*b**3 - 2*b + b. Let j(a) = -4*a**3 - 2*a - 5. Let y be 2\/4 + (-7)\/2. Give y*j(n) + 5*q(n).\nAnswer: 2*n**3 + n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d - 3*j + 17 + 45 = 0, j - 58 = -4*d. Suppose 146 = d*s - 92. What are the prime factors of s?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**(12\/7)\/(i*i**(-6\/17)) assuming i is positive.\nAnswer: i**(127\/119)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3580995459.\nAnswer: 3, 449, 2658497","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q + 16 = 7*q. Suppose -q*l = -16, 3*f = 5*l + 9129 + 2677. Is f\/22 - 8\/44 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = 2*q**2 - 2*q. Let c be x(2). Let b be 30\/c*28\/21. Solve 0*r - b = 5*r for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = h - 2. Let m = 9 - 12. Let k be (-9)\/3 + (-1 - m). Let s be -1 - 3\/k - 0. Calculate j(s).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -a**3 - 16*a**2 - 25*a + 55. Let t be i(-14). What is the nearest to 2 in -3, t, 1, -0.2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 35 (base 12) in base 5?\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u + 4*g - 113 = 2*g, 0 = -4*g + 16. Solve 33*z + u + 12 = 0 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 63 + -316\/5. Is 0 not equal to v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -h**3 + h**2 - h - 13. Let y be k(0). Let a = 18 + y. Solve a*p + 41 = -5*v + p, 4*p - 9 = 5*v for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -52564*g - 4415372. Calculate j(-84).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-45)\/25)\/((-21903)\/2450 + 9\/(-2)*-2).\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -5*z**2 + 7*z - 3. Let o(j) be the second derivative of -j**4\/3 + j**3 - j**2 + 169*j. Determine 3*o(y) - 2*u(y).\nAnswer: -2*y**2 + 4*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*m**4 - 2*m**4 + 4*m**4)*(3 - 4 + 2 - 2 - 3 + 3 + (-4 - 2 + 4)*(4 - 4 + 1) + 1 + 0 - 3 + (11 + 11 - 10)*(-3 + 0 - 1))*(-4*m + 10*m + m).\nAnswer: -742*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u + 4*o - 6 = o, 4*o = -3*u + 5. Suppose 0 = -u*f + g - 73, -g + 5 = 4*g. Let t = 6 - f. Does 15 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1997293 (base 10) in base 8?\nAnswer: -7474755","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1481 to the power of 1\/9, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3760 - -3759.99997887. Round m to 5 decimal places.\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 660 minutes after 9:24 AM?\nAnswer: 8:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 1144536799?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 98 and 14938?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 367336 is divided by 923.\nAnswer: 905","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 54 - 58. Let y(u) = 42*u - 1340. Let w be y(32). Sort 6\/17, w, v in increasing order.\nAnswer: v, 6\/17, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 4\/16 + 19\/4. Differentiate x*u - 7 + 8*u - 17*u + 5*u wrt u.\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-3564)\/(-16) - (-27)\/(-36).\nAnswer: 2, 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1095543878*c**3 + 2*c**2 - 90*c + 359518 wrt c?\nAnswer: 6573263268","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2 (b) 0.062 (c) 0.03\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -8 - -9. Let z = 1 + a. Solve -5*v + 29 = z*l, 2*l = -v - l + 11 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2683 is divided by 22.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 35775 and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -c**6 + 531*c**5 - 3*c**2 + 6015*c?\nAnswer: -120*c**3 + 31860*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -28\/127 and -3\/1084?\nAnswer: 137668","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 1057, 8945, 30641, 73141, 143441, 248537, 395425?\n\"Answer: 1166*j**3 - 92*j**2 + 2*j - 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -j**3 - 9*j**2 - 9*j - 11. Let a be g(-8). Let u be (-64)\/(3\/a)*2. Suppose -5*r = -u - 32. Does 13 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = 6*k**2. Let n(x) = 8*x - 5. Let c(w) = w - 1. Suppose -5*b = m + 7, -4*b + 2*m - 17 + 3 = 0. Let h(j) = b*n(j) + 10*c(j). Calculate h(p(u)).\nAnswer: -36*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**30\/h)\/h**(-32))**(-31) assuming h is positive.\nAnswer: h**(-1891)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 219282 is divided by 9133?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 120 and 160.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 40555 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 43 - 42. Let l(v) = v**3 - v**2 + v. What is l(r)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1020001212222 (base 3) to base 5\nAnswer: -131312130","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = 19*w - 14. Let m be i(4). Let k = 143 - m. Does 9 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -k**2 + 1102*k**3 - 1104*k**3 + k**2.\nAnswer: -2*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 4547 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-51 - -46 - (0 - -12)) + 5.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6813 is divided by 756.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00322 to 4 decimal places.\nAnswer: -0.0032","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 13, d: 6}. Give prob of sequence ld.\nAnswer: 13\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -14 + 4. Let a = 18 + v. Let o(r) be the second derivative of r**5\/20 - 3*r**4\/4 + 4*r**3\/3 - 3*r**2\/2 + 9*r - 107. Determine o(a).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 - 5 = -2*r - l, 17 = 4*r + 3*l. Suppose -3*a + r*x = -10, -5*a - 5*x = -2*a - 17. Let j be a\/10 + 27\/(-5). Let i(z) = z + 2. What is i(j)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 times -459255\nAnswer: 459255","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve t + 438*c + 6 = 436*c, -3*t - 2*c - 2 = 0 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -6041 - -8837. Is 35 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(75))**2*3 + 6*(sqrt(75) + -2) + sqrt(75).\nAnswer: 5*sqrt(3) + 216","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1715*x + 107136 = -110*x + 290106 for x.\nAnswer: -114","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 40153?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert -155 (base 16) to base 10.\nAnswer: -341","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000038062 to 7 dps.\nAnswer: 0.0000038","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.9331 and 0.409.\nAnswer: -0.3816379","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out -62888 - -800.\nAnswer: -62088","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28*t + 49*t = 126. Solve 0 = -3*p + p - 5*w - 11, -3*w = p + t for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -13 + 11. Let z be (-2)\/(((-4)\/8)\/(-1)). Sort 3, h, z, 5 in decreasing order.\nAnswer: 5, 3, h, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (9167\/6386)\/(2 + -3 + 2). Let w be 2 + (1 - 91\/31). Let u = w + z. What is the smallest value in 1, -5, u?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -9064 + 14983. What are the prime factors of b?\nAnswer: 3, 1973","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -52 - (27 + (-85 - -22)).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3\/8 + 1\/2*i + 1\/8*i**2 = 0 for i.\nAnswer: -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -81*v**3 - 36*v**2 - 132*v + 46*v + 2 + 86*v in the form d*v**3 + x*v + w + u*v**2 and give x.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -90, -58, -38, -36, -58?\nAnswer: -110","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 39\/((136\/24)\/(-17)). Which is bigger: 5 or g?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-12 - -10)\/(1 + 1)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -4 divided by -80\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 472 minutes before 11:00 AM?\nAnswer: 3:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.094? (a) 2\/3 (b) -0.1 (c) 9\/2 (d) -6 (e) 0.01 (f) 0.68\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*p**5 - 128*p**4 - 930*p**3 - 1924*p**2 - 1120*p = 0. What is p?\nAnswer: -56, -5, -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -1112*s**2 + 6*s - 4. Suppose 0*d - 2*d = -12. Let o be v(d). Round o to the nearest one hundred thousand.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z = 2*i - 50, -i = -5*i + 4*z + 92. What is the third derivative of -9*r**2 - i*r**4 + 29*r**4 + 3*r**2 - 18*r**4 wrt r?\nAnswer: -240*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h = -2*k + 35, 3*k + 2*h = -2*h + 70. Let d = k + -33. Let t be (-8)\/(-6)*(-6)\/(-4). Which is the closest to -2\/5? (a) t (b) -1 (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + 2 + sqrt(320) + -3 + sqrt(320) + 2)**2.\nAnswer: -128*sqrt(5) + 1296","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = 5*i**2. Is 17 a factor of d(4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*u**2 + 0 - 5 + 7 in the form y*u + k*u**2 + j and give j.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (27\/6 - 2)*2. Let w(m) = 5 - g - 133*m. Is w(-1) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z + 4*w + 7 = 31, -5*w + 14 = z. Let s be (z + -20)*(1 + -2). Let k be ((-36)\/(-16))\/(6\/s). Solve -2*b = -0*b - k for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -19951, -19327, -18703, -18079, -17455?\n\"Answer: 624*d - 20575","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -154*t**2 + 2*t + 8. Let z(i) = -307*i**2 + 6*i + 19. Give 5*p(h) - 2*z(h).\nAnswer: -156*h**2 - 2*h + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26*o + 31*o + 345 = 0. Let k = o + 67. Let d = 0.1 - 0. Which is the closest to d? (a) 3 (b) k (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zdzzpzpzzzzddzpzdz. Give prob of sequence dpz.\nAnswer: 11\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Are 25878\/781 and 33 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) be the third derivative of -r**6\/360 - r**5\/15 - r**4\/3 + r**3\/3 - 11*r**2. Let s(j) be the first derivative of w(j). Give s(-7).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4 (base 6) to base 13.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 147202*y**2 - 49070*y**2 - 49065*y**2 - 49065*y**2.\nAnswer: 2*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7358 is divided by 7334?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v = 38*v + 693. Which is the third smallest value? (a) -2\/13 (b) v (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-156)\/18 - -8 - (-87)\/63. Let j = 6 + -6. Let r = 1.1 - 1. What is the nearest to r in t, j, -4?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 1, q: 2, i: 1, d: 4, p: 2}. Give prob of picking 2 q, 1 d, and 1 y.\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 4458 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: What is -0.759992 rounded to two dps?\nAnswer: -0.76","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1404?\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 844087 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x + 20 = 5*b - 2*b, 2*b = 8. Let k(s) = 0*s**2 + 4*s**2 + s**x. Let y(d) = 2*d**2 - 34 + 34. Give y(k(p)).\nAnswer: 50*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 67\/7064690 and 103\/83114.\nAnswer: 7064690","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 6293, 25185, 56675, 100763, 157449?\nAnswer: 226733","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*b - 44*u + 41*u = 9, -4*u - 18 = -b for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 302 minutes before 8:26 AM?\nAnswer: 3:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*b**3\/7 - 284*b**2\/7 - 4498*b\/7 - 4216\/7 = 0.\nAnswer: -124, -17, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 78 + -79. What is the nearest to -1 in d, -4\/5, 1\/2?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -32 (b) 4 (c) -751 (d) -0.58\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -i - 54. Let g be x(-15). Let m = g + 42. What is the least common multiple of ((-2)\/4)\/(m\/(-138)) and 11?\nAnswer: 253","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 4 + 3?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2458 - -2463. Solve 3*j + d*l + 5 = 0, 2*l = -3*j + 6 + 1 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 124 by 2.\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -1899885.396 rounded to the nearest one hundred?\nAnswer: -1899900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = n**3 - 2*n**2 + 2*n + 1961. Does 53 divide d(0)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = y**3 + 168*y**2 + 2445*y + 371. Calculate c(-16).\nAnswer: 163","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2 - 2 = -15*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*h + 5 + 20. Suppose -2*s = 5*z - 4*s - 17103, 3*z + h*s = 10268. Is z a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 34*g**2 - 840612*g - 98896 = 0. What is g?\nAnswer: -2\/17, 24724","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(sqrt(70)\/(sqrt(1210)*3))**2 - (5 + sqrt(7) + 0 + -4*(sqrt(7) + sqrt(28)))*3.\nAnswer: -16349\/1089 + 33*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 9.83 + -20.96. Let r = -11 - d. Let o = 3.13 - r. What is the second biggest value in -1\/4, o, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-170)\/(-5)*32\/(-64).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-66)\/4)\/(135\/90). Let k(m) = m**2 + 5*m - 9. Let u(x) = -x. Let q(d) = k(d) - 6*u(d). What is q(b)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = 8*o - 0*o. Suppose 4 = -4*q - 3*p + 57, -o*q + 2*p + 44 = 0. What is the remainder when q is divided by 7?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 5, k: 1, i: 1, t: 6, f: 1}. What is prob of sequence gfgi?\nAnswer: 5\/6006","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -13 - 2*p - 22 + 34. Let t be f(-1). Suppose -5*d + 4 = -t. Which is greater: d or -1\/9?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 2, i: 1, h: 2, l: 1, f: 2, k: 1}. What is prob of sequence kl?\nAnswer: 1\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:23 AM and 4:26 AM?\nAnswer: 243","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of k**3*s**3*z + k**3*s*z - 410*k**2*s**3*z**2 - k*s*z**2 - 6*s**2 - 2*s*z**2 wrt s.\nAnswer: 6*k**3*z - 2460*k**2*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*f - 3*f - 209. Calculate the highest common factor of 19 and f.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = 18*y - 138. Give o(8).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Determine l, given that 5*l**5 - 165*l**4 + 465*l**3 - 455*l**2 + 150*l = 0.\nAnswer: 0, 1, 30","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 44*p = 44 - 0. Does 6 = p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (10*u**3 - 2*u**3 - 60*u**3)*(3 + 4 - 12)*(2 - 1 - 3)*(0 - 1 + 2).\nAnswer: -520*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 139*p + 14887 = 6130 for p.\nAnswer: -63","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (sqrt(20)\/((sqrt(80) - (sqrt(80)*-3 - sqrt(80)))\/sqrt(8)) - (sqrt(450)*-2)\/sqrt(9)) + 1.\nAnswer: 1 + 51*sqrt(2)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 290902 to the nearest integer?\nAnswer: 539","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1\/(-3) + (-28)\/(-3). Let i = w - 8. Let y = i - -8. What are the prime factors of y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1a (base 13) to base 6\nAnswer: -35","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 51 = 5*y + 444*t - 442*t, -11*y - 123 = -4*t for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -384644 divided by 52\nAnswer: -7397","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.36161 micrograms in kilograms?\nAnswer: 0.00000000036161","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bbvvb. What is prob of sequence vv?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -2*w**3 + 10*w**2 - 10*w - 5. Let o be y(6). Let p = o + 132. Let n(k) = -k**2 - 5*k - 3. What is n(p)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -46.1 + 118871.092.\nAnswer: 118824.992","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2220 = -6*m + 10836. Suppose -1437 = -4*x - 3*k, -4*x = 4*k - 0*k - m. What are the prime factors of x?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v - 2*j + 697 = 0, -2*v - 211 = 2*j + 247. Let q = v - -435. What is the highest common factor of q and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 76.14473 grams in tonnes?\nAnswer: 0.00007614473","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1970\/(-394) - (3 - (-10)\/4)*2?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -331104 divided by -331104\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*i**2 - 1 + 1)*(i**2 - 5*i**2 + 2*i**2) - 2 + 2 - 2*i**4 - i**4 + 0*i**4 + 0*i**4 - 15*i**4 + 8*i - 8*i + (-3*i**3 + i**3 + 3*i**3)*(-2*i + 3*i + i).\nAnswer: -20*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + (sqrt(864) + sqrt(864) + sqrt(864) + -2*sqrt(864)*5)\/(1*sqrt(128)*-2))*-1.\nAnswer: -21*sqrt(3)\/4 - 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 17 + -9. Suppose 82 = 9*q + 19. Calculate the lowest common multiple of y and q.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1958605 and 44693.\nAnswer: 2629","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(-2 + sqrt(320)) - sqrt(320))**2 - sqrt(45)\/(sqrt(81)\/(sqrt(36)\/sqrt(4))).\nAnswer: -65*sqrt(5) + 336","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (2 + -1)\/(14\/7). Let p = -2\/101 + 216\/707. What is the nearest to s in -1\/3, p, -1?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-7)\/(-140)*2*5?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = 3*s. Let z(v) be the third derivative of 0*v + 1\/24*v**4 - 5*v**2 + 0 + 0*v**3. Determine g(z(d)).\nAnswer: 3*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.0473 and 253.\nAnswer: 253.0473","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 162 divide 851496?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) be the second derivative of -l**7\/189 + 4*l**6\/135 - l**5\/18 + l**4\/27 + 10*l. Factor p(u).\nAnswer: -2*u**2*(u - 2)*(u - 1)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*q - 19044 + 1196 = 0. Is q composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 14054 + -14052.37. What is the biggest value in 0, b, 0.13?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(sqrt(931)*-2)**2*2 + 2 - (sqrt(931) + (-1 + sqrt(931)*-1 - sqrt(931)) - (sqrt(931) + (2*sqrt(931)*-3 - sqrt(931))**2)).\nAnswer: 14*sqrt(19) + 23278","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1133 + 1686. Is j composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = 5*y. Let l(s) be the first derivative of -s**5\/20 + s**3\/3 + 11*s**2\/2 + 214. Let d(u) be the third derivative of l(u). What is m(d(o))?\nAnswer: -30*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 360587 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 383081807 to the nearest integer?\nAnswer: 726","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -2 - 33c050?\nAnswer: -33c052","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -66*m + 65 - 63 + 60*m + 8*m + 8*m.\nAnswer: 10*m + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 - 9 + 3)*(3*m - 5*m - 18*m).\nAnswer: 200*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 5, m: 2}. Give prob of sequence me.\nAnswer: 5\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fa when two letters picked without replacement from {b: 3, a: 1, y: 5, j: 1, o: 4, f: 1}.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -327160 or -329750?\nAnswer: -327160","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -51? (a) 0.2 (b) 4\/9 (c) -0.09 (d) -2146\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -5 (b) 3862 (c) -11\/26 (d) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -6 - -4 - (-1 + -1). Let w be (g + 5)*(-3)\/(-5). Solve -2*x**3 + 0*x**3 + 3*x**3 - w*x + 2*x**3 = 0 for x.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 11133 + 0?\nAnswer: 11133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dqliijlqllli. What is prob of picking 1 i and 1 j?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -k**3 - 15*k**2 - 36*k + 12. Does 14 divide p(-14)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 996638, 996637, 996638, 996641, 996646, 996653?\n\"Answer: c**2 - 4*c + 996641","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -5 + (-28)\/(-5) + 1502\/(-2570). Let a = 4156\/2827 - w. Are a and 0 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 75 divide 50878240?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(sqrt(2) - (sqrt(2) - (sqrt(32) + sqrt(32)*-1))) + 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 4\/(-30)*5\/(-12). Let a = -323 - -324. Is a at most as big as r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 5 + -1064534?\nAnswer: -1064526","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -19980001 + 55716001. Round w to the nearest one million.\nAnswer: 36000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7128 = 5288304*i - 5288466*i for i.\nAnswer: 44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -635 - -288. Let f = s - -408.6. Let l = f - 67. Round l to zero dps.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10204 plus -28.66?\nAnswer: 10175.34","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**1\/((w*w*w**9)\/w))**7)**(-17) assuming w is positive.\nAnswer: w**1071","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*d - 124*g - 3 = -123*g, 7*d = 5*g - 3 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = h**3 - 11*h**2 - 11*h - 3. Suppose 0 = 1031*s - 1034*s + 36. Give o(s).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (86940\/6160 - (205\/110 + (-18)\/12))*4\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*m + 4*a = 76, -9*a - 2053 = 2*m - 2169 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -626869*g**3 + 2*g + 120409.\nAnswer: -3761214*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -84902\/73 - -1163. Let t = 97\/584 + w. What is the closest to 0 in t, 3, -0.3?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 4667, 21943, 50733, 91037?\n\"Answer: 5757*c**2 + 5*c - 1095","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 73740 a multiple of 311?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 0\/(-1) + 1 - -2. Let c(f) be the first derivative of f**6\/360 - f**5\/60 - f**4\/12 + f**3\/3 - 3. Let w(y) be the third derivative of c(y). What is w(l)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -41*z + 2. Let l(j) = -j**2 + 40*j - 2. Determine -2*c(y) - 3*l(y).\nAnswer: 3*y**2 - 38*y + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 7693\/24 - 1987\/6. Find the common denominator of 111\/10 and v.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -5 and -67806?\nAnswer: 339030","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -993 - -1842. Is j composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -5.25 and -3788.468.\nAnswer: -3793.718","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*b, 2*f - 2*b + b - 456 = 0. Suppose 543 = 4*j + 4*t + 79, 0 = 2*j - 2*t - f. What are the prime factors of j?\nAnswer: 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 22 + -22.3. What is the biggest value in 0.1, 4, o, -2?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 66322 is divided by 1615.\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1.2 - 0.2. Let x = 14.8 - 14.76. Which is smaller: x or s?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8 = -5*o - j, -2*j - 11 = 33*o - 28*o for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) 0.1 (b) 15 (c) -0.3 (d) -4\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3073 is divided by 15.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve s + 11 + 55 - 66 = -7 for s.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o + 16 = 4*y, 2*y - o + 7 = -0*y. Let k be (-1 - (-3)\/y)*-2. What is the units digit of 9\/(2\/k*6)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -6551 + 0?\nAnswer: -6551","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 476857 and 6463?\nAnswer: 281","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 33368 and 94455496?\nAnswer: 4061586328","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -8, -7, -6, -5, -4, -3?\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 0 - -101100001000101010?\nAnswer: 101100001000101010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + 3*f = 15, 0*f - f = -3. What are the prime factors of (14 + 1 + k)\/1?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -91 times -67?\nAnswer: 6097","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = 2*x - 24. What is the remainder when 143 is divided by u(15)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h = q - 6*q - 20, 5*q = -h - 12. Let c(v) = -v**3 + 5*v**2 - 2*v + 4. Let x be c(5). What is the remainder when 29 is divided by (x\/q + -5)*-4?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -a**3*d - 658*a**3*v**3 + a**2*d*v**3 + 22*a*d*v**2 - 59*a*v**3 wrt a.\nAnswer: -6*d - 3948*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2175, -1379, -583, 213, 1009?\nAnswer: 1805","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -45953 + a?\nAnswer: -45947","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -54*p**2. Let l(c) = -8*c. Calculate l(q(o)).\nAnswer: 432*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -4*c**2 + 3*c + 1. Let p be 256\/18 - 12\/54. Suppose 2*i - p - 6 = 0. Let d = i + -15. Let m(l) = -5*l**2 + 4*l + 1. Determine d*m(a) + 6*j(a).\nAnswer: a**2 - 2*a + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -l - 4*u + 20 = -3*l, 0 = 3*u - 15 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 240785 is divided by 76297?\nAnswer: 11894","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 18766, 75926, 171182, 304528, 475958?\nAnswer: 685466","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-18)\/(-21))\/1*364\/(-78)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -r**3 - 36*r**2 + 1797*r + 90. Determine n(-64).\nAnswer: -230","meta":{"dup_signals":{},"source":"polynomials__evaluate_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: Let b = -230 - -230. Solve 3*g - 5 = -4*v, -5*g = -b*v + 2*v + 1 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 59\/30 or 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2591 = -h + 3751. Is h\/98 - 4\/(-14) a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 930730663 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 125*b**2 + 18 - 20 - 125*b**2 + 136*b**3.\nAnswer: 136*b**3 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 5 - 3. Let k = 2 - o. Let t = -1 - -1.5. What is the closest to k in t, 0.4, 2?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -14*z - 156. Let j(b) = -8*b - 91. Let l(r) = 5*j(r) - 3*u(r). Give l(-8).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -829525 or -1?\nAnswer: -829525","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.4, -1\/3, -929\/4, 0.2 in ascending order.\nAnswer: -929\/4, -0.4, -1\/3, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -97\/13 in -303, 0.04, 5, -0.3, 2\/5?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*f**3 + 63080*f**2 - 504880*f + 1009920.\nAnswer: 5*(f - 4)**2*(f + 12624)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 538138553?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3\/7*h**4 - 9\/7*h**3 + 0*h + 0*h**2 + 0.\nAnswer: -3*h**3*(h + 3)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 96 = -7*m - 5*m. Is m at least as big as 9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-25)\/(-3))\/(11\/(-33924))*-30. What is w rounded to the nearest 10000?\nAnswer: 770000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -102183*-3.3\nAnswer: 337203.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3c2 (base 16) to base 3.\nAnswer: 1022122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 4\/(-6)*9\/(-2). Suppose o - y*o = -60. Is o a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*h - 28*h = 4*h. What is q in 3\/5*q**4 + 7\/5*q**3 + 0*q**2 - 4\/5*q + h = 0?\nAnswer: -2, -1, 0, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -4 + 6. Let z = 2\/235 + 464\/705. Which is the nearest to 1? (a) z (b) x (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 52539 is divided by 249?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 18 and 144?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (3 - 3 - 1)*-1. Sort 2, f, -88 in ascending order.\nAnswer: -88, f, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 799\/((6\/1)\/6). Suppose -1281 = -4*b + g, 2*b + 171 = -2*g + s. What is the tens digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gn when two letters picked without replacement from sssgssssnsqss.\nAnswer: 1\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -5 - -11. Let m = -33 + k. Let q = -16.8 - m. Round q to the nearest integer.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 267, -19, -5 in decreasing order.\nAnswer: 267, -5, -19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.1 * 1876.\nAnswer: -187.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -13*g - 10. Let v(w) = 10*w + 10. Let h(i) = -3*j(i) - 4*v(i). Let o(m) = 4*m. Determine h(o(d)).\nAnswer: -4*d - 10","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*o - 2*o = 35. What is the remainder when o is divided by 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/10 of a litre in millilitres?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -14? (a) -144 (b) -6 (c) -9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 2669741891 to the power of 1\/2, to the nearest integer?\nAnswer: 51670","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7.326422km to micrometers.\nAnswer: 7326422000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1191 + -1188. Solve v*s - 2*s + 6 = f, -21 = -4*s - 5*f for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -31219299.1371965 + 4.1371965. Let j = v - -31219290.0000002. Let d = -5 - j. What is d rounded to six decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -908 - -972. Solve 12*u = 16 - s for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1262403?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -10*q**2. Let o(s) = s + 251 - 251. Determine j(o(r)).\nAnswer: -10*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2314872733.\nAnswer: 19, 151, 806857","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -10*f + 5. Suppose a = -0 - 4. Is 15 a factor of k(a)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -41, 0.06, -4 in descending order.\nAnswer: 0.06, -4, -41","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -g**3 - 15*g**2 - 25*g + 18. Let c be t(-13). Solve 3*y - 4*d = 16, c - 4 = -d for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = 5*m + 20. Let f = -89 + 89. Let o be g(f). Solve v - 6*v + o = 0 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 282\/26 + 22\/143. Suppose -5*m + j = -4. What is the smallest common multiple of 10 and m?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3 + -2.9. Let z be (-4 + (-8)\/2*-1)\/2. Let f be z + (-21)\/(-24) + -1. Which is the nearest to 1? (a) l (b) f (c) 2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -1095442*q**2 + 28*q + 240. Let s be m(14). What is s rounded to the nearest one million?\nAnswer: -215000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = k. Let r be w(1). Let h = r + 10. What is the least common multiple of 9 and h?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 88 - 56. Let g(c) = 4*c**3 - 2*c**2 - 3*c + 4. What is the lowest common multiple of z and g(2)?\nAnswer: 352","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -587.9 - -588. Let x = -292\/525 + 10\/21. Which is smaller: x or g?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 890145 divided by -5\nAnswer: -178029","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -x + 1. Let o = 63 - 58. Let d(n) = 5 + 0*n - 8*n + 0*n. What is o*i(f) - d(f)?\nAnswer: 3*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 621 - -278. Does 31 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(-1 + (((sqrt(130) + sqrt(130) + -2*sqrt(130) - sqrt(130))*-4)\/sqrt(10))**2 + 6*sqrt(1300)*-1 + 0).\nAnswer: -240*sqrt(13) + 828","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -7*d - 9*d + 48 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*x + 66 - 796. Let p = x - -378. What is the units digit of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 - 2 - 1 + (-1 - 6 + 4)*(172 - 125 + 200) + 0 - 4 + 2)*(n - 2*n - n).\nAnswer: 1480*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 346 - 244. Let i = 77 - c. What is the units digit of (15\/i + (-56)\/(-10))*13?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/3? (a) -1 (b) -0.04 (c) -0.032 (d) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j and 1 d when two letters picked without replacement from tpdjxppxjttpphdh?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000194 to four dps.\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 + (17 - (8 + 0 - -5)).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 35 + -131. Let s = n - -119. Is s at least 23?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (1308\/18)\/(2\/3) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (23 - 22 + 27 - 2 + 7 - 1 + 0 + 0 - 1 + (2 + 0 + 0)*(0 + 4 - 3) + 2 - 4 + 3)*(-2*p + 10*p - 6*p - 3).\nAnswer: 68*p - 102","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 73065702903 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 8431 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q + 2*q - 365 + 353 = 0. Solve 0*s = -3*j + 2*s - 13, -q*s = -10 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -195*t - 3119. Let a be m(-16). Put -3, 75, 3, -5, a in ascending order.\nAnswer: -5, -3, a, 3, 75","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) be the second derivative of -x**5\/20 - 5*x**4\/12 - x**3\/2 - x**2 + 4*x. Calculate f(-4).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -623*n**2. Let q(v) = 100*v + 48. Let j(g) = 6*g + 3. Let k(s) = 16*j(s) - q(s). What is r(k(x))?\nAnswer: -9968*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4120, -32177, -108430, -257011, -502052, -867685?\nAnswer: -1378042","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 53482032 and 73996.\nAnswer: 5692","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express 10*t + 7 - 4 - 3 in the form y*t + r and give y.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -53 + 47 = -2*m - 2*f, -3*m - 4*f + 14 = 0 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-2\/29)*g*g*g\/(((g\/(g*g**(-8)))\/g)\/g)*g*(g**2)**(13\/4))**23 assuming g is positive.\nAnswer: g**(5911\/58)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = o**2 - 3*o - 1. Let p be n(3). Let m = 0.087 + -0.187. What is the biggest value in 10, m, p?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 200779 to the power of 1\/2, to the nearest integer?\nAnswer: 448","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h\/(h\/h**1))\/h**(2\/5)*h**(-15)\/((h**(2\/15)\/h)\/h) assuming h is positive.\nAnswer: h**(-188\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6 + 0 - -3) + 1 + 8?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 91844 - 91839. Let h(w) = 4*w**2 + w + 1. What is the remainder when h(-3) is divided by a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1486167*s - 1486167*s - 10159*s**4)*(-1 - 2 + 1).\nAnswer: 20318*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8.246138kg to nanograms.\nAnswer: 8246138000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k - 3*k - 40 = 0. Let h be (6\/5)\/((-2)\/k). Let f be (-20)\/(-2) + (-25)\/20*-4. Solve i - h*i = f for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.6878445l in millilitres?\nAnswer: 687.8445","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -6 + 9. Suppose -y + 6 = -h. Calculate the highest common divisor of y and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6439.\nAnswer: 47, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) be the second derivative of 5*t**4\/12 + t**3\/6 + t**2\/2 + 120*t. Let c be (-4)\/10 + (-6)\/10. Let y be l(c). Solve -y*n + 0*n = 20 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-2 + 6 + -7)\/(-5 - -2). Suppose 16*y = 15*y + 212. Sort g, 4, y in descending order.\nAnswer: y, 4, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -186878 rounded to the nearest 1000?\nAnswer: -187000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -2861 (base 10) to base 11\nAnswer: -2171","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 11973?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 2.5*-2495.798\nAnswer: -6239.495","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-55)\/(-22))\/((-2)\/(-4)). Suppose -96 - 199 = -s*f. Is f prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (34\/(-5))\/((-29)\/((-7250)\/(-100))).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = 3*g - 6. Let x be i(2). Let j(v) be the third derivative of -v**2 + 0*v**3 + 0 + 0*v + x*v**4 + 1\/240*v**5. Suppose j(r) = 0. Calculate r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 264270077?\nAnswer: 264270077","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -260 in -2\/53, 1\/3, -0.1, 0?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -s - 4. Let j(i) = i**2 + 8*i + 1. Determine j(s).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*t = 3 + 24. Let c be 4\/1 - (11 + t)\/2. What is the remainder when 73 is divided by -2*c\/(-6)*-31?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -3*s - 1. Let g(n) = 779*n + 246. Let l(u) = -5*g(u) - 1230*q(u). Let a(z) = -3*z**2. Determine a(l(y)).\nAnswer: -126075*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -20, -30, -40?\nAnswer: -50","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is seven eighths of a litre in millilitres?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*k - 21 = -5*o, 3*k - k + 5*o - 11 = 0 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4 + -1 + sqrt(1300)*-1 - ((sqrt(1300) + (-5*sqrt(1300) + sqrt(1300))*2 + sqrt(1300) - sqrt(1300)) + 1)) + 3)**2 + 0.\nAnswer: -360*sqrt(13) + 46809","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 168 is divided by 80.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2 or -8131\/4189?\nAnswer: -8131\/4189","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-r**2 - 10*r**3 + 14501*r - 14501*r + 2)*(1 + 1 - 1).\nAnswer: -10*r**3 - r**2 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oct when three letters picked without replacement from cbcbozbbtozc.\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (3\/(-9)*-2)\/(40\/(-15))\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -116 - -118. Let j(g) be the second derivative of -7\/6*g**3 + 0 - 5\/2*g**2 - a*g. What is the derivative of j(i) wrt i?\nAnswer: -7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(((1*sqrt(480))\/sqrt(12))\/(sqrt(96)\/(1*sqrt(12))))**2 + (sqrt(40)\/sqrt(32) - sqrt(20) - -5*(sqrt(60)\/sqrt(3))**2)*5.\nAnswer: -15*sqrt(5)\/2 + 505","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) be the third derivative of -47*a**5\/30 + 85*a**3\/6 + 53*a**2. Differentiate l(y) with respect to y.\nAnswer: -188*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = 3*f**2 + 7*f + 6. Let u(c) = 7*c**2 + 13*c + 12. Let z(r) = -5*k(r) + 2*u(r). Let i be z(-7). Let v = 136 - i. List the prime factors of v.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1034965000 to the nearest one million.\nAnswer: 1035000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 1881103268 to the nearest integer?\nAnswer: 208","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -0.8, 94\/3, 19, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l - 2*l - 124 = 0. Let x be (1306\/42 - 0) + (-1278)\/13419. Let d(u) = l*u**2 - 40*u**2 - x*u**2 - 40*u**2. Let v(w) = w. Calculate d(v(m)).\nAnswer: 13*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -204*n = -109*n - 94*n + 20 for n.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -b**3 + 3*b**2 + 2*b - 3. Suppose -9*u - 16 = -61. Let c = 8 - u. Let s be l(c). What is the highest common divisor of s and 27?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1394*x**2 - 46*x.\nAnswer: -2788","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 7 - -44. Let h = -31 + i. Suppose -4*v + 4 = -h. What is the units digit of v?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -h**3 - 19*h**2 + 64*h - 42. Let a be x(-22). Let u(g) = 16 + 17 - 32 - g. Determine u(a).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 18258.\nAnswer: 2, 3, 17, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 9) to base 8\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.3 and 821523.\nAnswer: 246456.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, -160, -0.1, -0.07 in increasing order.\nAnswer: -160, -6, -0.1, -0.07","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -75*k - 1391. What is b(-14)?\nAnswer: -341","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put -10.2, -695, -4.5, 4 in decreasing order.\nAnswer: 4, -4.5, -10.2, -695","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 23 and 11?\nAnswer: 253","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2197?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -w**2 + 18*w - 10. Let j = -100 - -116. Let q be z(j). Solve 5*l + o = -q, 5*l + o + 18 = 2*o for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 272 + -272.4. What is the nearest to 2\/11 in u, -2\/9, -11?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7240184 a multiple of 28?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 388127 = 95*h - 3368. What are the prime factors of h?\nAnswer: 13, 317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 148501\/100 + -1485. Let i(x) be the third derivative of 0 + x**2 - 1\/350*x**7 + 0*x + 1\/200*x**6 - 1\/40*x**4 + o*x**5 + 0*x**3. Factor i(n).\nAnswer: -3*n*(n - 1)**2*(n + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 156 and 3300.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 288040867*l - 1.\nAnswer: -288040867*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*m = 84 - 480. Is 6 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 898\/7 + -128. Suppose 3*l + 12 = 0, -14 - 17 = 3*b + 4*l. Let o = b + 6. Is o != d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -35\/624 and 71\/39444?\nAnswer: 2051088","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 24389 + -16018. Is 175 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4960318 divided by -46?\nAnswer: 107833","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.2723 to two decimal places.\nAnswer: -0.27","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -79*j**2 - 2*j - 30. Let l(v) = 27*v**2 + v + 11. Give 3*d(o) + 8*l(o).\nAnswer: -21*o**2 + 2*o - 2","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 298394377.\nAnswer: 298394377","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4 in -3\/151, -0.5, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) be the second derivative of -f**3\/6 + f**2\/2 + 25*f - 1. Calculate d(7).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 168 is divided by 31?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.15846183 to 2 dps.\nAnswer: 1.16","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 33\/5 of a litre in millilitres?\nAnswer: 6600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -k + 1. Let o(j) = -6*j + 4. Let w(h) = o(h) - 2*s(h). Let u be (1\/3)\/((-85)\/765). What is w(u)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.2, 0.1, 3, -1\/28 in descending order.\nAnswer: 3, 0.1, -1\/28, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t = -l - 4*l - 25, 20 = 4*t - 4*l. Suppose p - 2*i = -3*i + 7, t = -4*p + 5*i + 28. What are the prime factors of p?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1095 divided by 365?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -1*10 - 0\/2. Let b = 23 - -38. Let x = b + -69. Is x smaller than t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -60*h - 34. Let i be o(-5). Suppose -4*j = 3*j - i. Calculate the highest common factor of j and 38.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 292 minutes before 10:31 AM?\nAnswer: 5:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = 8*f + 48 - 65 + 9*f - 14*f**2. Let i(t) = -5*t**2 + 6*t - 6. Determine 6*g(y) - 17*i(y).\nAnswer: y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 281689815?\nAnswer: 3, 5, 11, 155201","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = r**3 - 2*r**2 + 3*r - 1. Let y be i(2). Let t be (-79)\/316 + ((-3)\/(-2))\/(-3). Which is the nearest to 1\/4? (a) y (b) t (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gvxevvxvettvtvetv. Give prob of picking 2 e.\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 130 = -z + 6*z. What is the remainder when z is divided by 7?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 4 - 1)*(c + 2*c - c) - 2*c - 2*c - c.\nAnswer: c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = 2*r - 3*d, 9*d = 9*r + 11*d - 24. Solve k = -g - r, -3*g - g + 3*k + 13 = 0 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*p - 1 = f, -p - 1 = -0*f + f for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 1, z: 1, l: 1, g: 3, t: 2, i: 5}. Give prob of sequence zr.\nAnswer: 1\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 267580 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3490 + 5200. Suppose 5*n + s = 5095. Let j = -210 + n. Is j a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -108403 or -2710104\/25?\nAnswer: -2710104\/25","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + -5 + 5 - (-9 - -15).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 23869 times -404\nAnswer: -9643076","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 31273 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 - (7 + -6)) + (-15 - -26).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 2.8774773 minutes?\nAnswer: 0.001998248125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = 28345303*j**2. Let b(i) = -i**2. Determine v(b(n)).\nAnswer: 28345303*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) be the second derivative of 10*u**3\/3 - 9*u**2\/2 - 10*u. Is k(4) a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1164988 by -20086.\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 115 minutes before 10:50 PM?\nAnswer: 8:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (t - 3*t + t)*(t**3 - 6*t**3 + 4*t**3) + 2*t**4 + 3*t**4 - 3*t**4 + 24 + 1089*t**2 - 1089*t**2 - t**4 + (1 + 3 - 2)*(-3*t**3 - 2*t**4 + 3*t**3).\nAnswer: -2*t**4 + 24","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 9.599523 centuries?\nAnswer: 0.9599523","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 28383 to the power of 1\/10, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 4093 + -232?\nAnswer: 3861","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ljh when three letters picked without replacement from ldldddddjhdljddjhdhd?\nAnswer: 3\/760","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-x**3 + 2*x**3 - 3*x**3)*((-5 + 3 + 1)*(-5*x - 3 + 3) + (5*x - 3*x - 3*x)*(-1 - 3 + 2) + 2*x + 0 + 0).\nAnswer: -18*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Add -13 and 26790493659358.\nAnswer: 26790493659345","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -19 - 6b376?\nAnswer: -6b391","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.386 + 1.214. What is the closest to 2\/5 in -1, o, -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 1677193 from -3177.\nAnswer: -1680370","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f = 31 - 187. Let t be (3\/(-9))\/((-2)\/f). Suppose 507*g - 18 = 510*g + 3*d, 5*g + 3*d + 12 = 0. Solve -2*y = t - g for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 0 - 0 - (30 - (4 + -2)). What are the prime factors of -4*(1267\/v + -2 + 5)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-59800)\/2576*(-80)\/500?\nAnswer: 26\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 14363813 to the nearest integer?\nAnswer: 243","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 132567 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -39, -68, -155, -330, -623, -1064, -1683, -2510?\nAnswer: -3575","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -19504 + 81435. What is the thousands digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1.1, 3\/5, 2285, -2, -3, -1\/2 in ascending order.\nAnswer: -3, -2, -1\/2, 3\/5, 1.1, 2285","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = p - 6*p + 6*p. Let i(s) = 7*s. Let q(n) = -8*n. Let h(m) = 6*i(m) + 5*q(m). Determine h(y(d)).\nAnswer: 2*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 97 a factor of ((-36)\/(-90))\/(8\/(-20))*-6693?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 699109.4 millimeters to kilometers.\nAnswer: 0.6991094","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 4678639209 to the power of 1\/9, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*b - 362 = -271. Solve 5*a - 3*p = 6*a - b, 23 = -3*a + 2*p for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/3? (a) 1\/29 (b) 0.04 (c) 4 (d) -1\/54\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express (-6*t - t - 6*t)*(-4*t - 2*t + t + t - 37 + 37 + (-4 + 4 - 4*t)*(3 - 1 - 1) + (0 + 0 + 2*t)*(0 + 0 - 1)) in the form i*t + z*t**2 + h and give z.\nAnswer: 130","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -16047022*w**3 - 10969290.\nAnswer: -48141066*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: What is next in -10, -100, -346, -826, -1618?\nAnswer: -2800","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = 2*t**2 + t + 1. Let q be z(-1). Is 2\/(-4) - (-111)\/q composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*w**3\/9 - 22148*w**2\/9 - 44302*w\/9 - 7384\/3 = 0.\nAnswer: -1, 11076","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -2*r**2 + r**3 - 4*r**2 + 5*r**2. Let l(b) be the third derivative of -b**6\/24 + 7*b**5\/60 - b**3\/3 - 9*b**2. Give -l(d) - 6*v(d).\nAnswer: -d**3 - d**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = 7*i. Let b be q(4). Suppose 0*f - 4*f = -b. Which is smaller: 4 or f?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.032 - -0.014. Round o to 2 dps.\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -44.471755 rounded to two dps?\nAnswer: -44.47","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 463 + -1128. Let h = d - -935. List the prime factors of h.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 160526.\nAnswer: 2, 80263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 499 (base 15) to base 8.\nAnswer: 2024","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 h when two letters picked without replacement from {h: 2, c: 4, f: 3, q: 3, y: 3, i: 1}?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 223253046.0000336 - 223252887. Let z = w - 159. Round z to five decimal places.\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.3471 and 14823.\nAnswer: -5145.0633","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 321566?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Are 0 and -11115\/28088 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1477, 11870, 40083, 95026, 185609, 320742, 509335?\nAnswer: 760298","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.5 and 70.87.\nAnswer: 35.435","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 40423 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 v when three letters picked without replacement from {h: 1, v: 5, b: 4, q: 1, d: 3}.\nAnswer: 5\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**(-26)*m*m**(-16) assuming m is positive.\nAnswer: m**(-41)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -5 (b) -0.04 (c) 0.1 (d) 4 (e) -2\/269\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -9.5 + 9.42. Let y = -0.63 + 0.33. What is the nearest to n in y, 1, -0.5?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 451470*b**4 - 35*b**3 + 31676161 with respect to b.\nAnswer: 1805880*b**3 - 105*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 1*-763.7498\nAnswer: -763.7498","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express 107 - 214 + 263*s + 917*s + 107 in the form f + y*s and give y.\nAnswer: 1180","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a + 20 - 1 = -3*o, -10 = -5*o + 5*a. Let n be (o*(-8)\/(-9))\/(-1). Solve -2*r**4 + 4\/3*r + n*r**2 - 4\/3*r**3 - 2\/3 = 0 for r.\nAnswer: -1, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(7) - sqrt(7)*1*-1)*-6.\nAnswer: -12*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + ((-13 - -11) + -11 - -12)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (((-648)\/20)\/3)\/((-9)\/(-30)). Suppose 0 = -a + 3*a + 20. What are the prime factors of (b\/a)\/(-1 - 168\/(-165))?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -57*v = -2*z - 59*v + 8, -3*z - 2*v + 10 = 0. Solve -3*o - 5*d - 20 = 0, -4*o - 5*d - z = 23 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q = -4*b - 2542, b + 9719 = 4*q - 479. Let l be (-3)\/((7\/q)\/7). What is l rounded to the nearest ten thousand?\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2598.3 + -0.60513\nAnswer: -2598.90513","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 14 - 12. Solve -n + 6 = b*n for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 88378, 176785, 265212, 353665, 442150?\nAnswer: 530673","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -36, -16, 3 in descending order.\nAnswer: 3, -16, -36","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2.363 - 0.007. Let v = p - 0.63. Which is the nearest to -0.07? (a) v (b) 2 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = y**2. Let x(h) = -5*h**2 + 6*h + 6. Let u(j) = 4*j**2 - 5*j - 5. Let v(z) = -6*u(z) - 5*x(z). What is f(v(t))?\nAnswer: t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 28 + -26. Let n = 7 - 11. Let u = 3.5 + n. Sort k, -2, u.\nAnswer: -2, u, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -z. Let d(u) = 5*u + 44. Let i(v) = -8*v - 45. Let h(o) = -4*d(o) - 3*i(o). What is h(y(p))?\nAnswer: -4*p - 41","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.548 + 0.0564?\nAnswer: 5.6044","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -33*y + 763. Let r be g(23). Let p(b) = b**3 + 7 - 4*b**2 - 2*b - 1 - 4*b. Give p(r).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1114*k + 38725 = 1139*k. Does 34 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 114 - 45. Let v = -71 + t. Let k = -22 - -19. Put v, k, 0.6 in increasing order.\nAnswer: k, v, 0.6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = 4*c**2 - c - 9151. Let r(i) = -11*i. Determine v(r(l)).\nAnswer: 484*l**2 + 11*l - 9151","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c + 0*c = -2*u - 26, -5*c = -4*u - 37. Suppose -1 - c = -2*f. Let g = 4 - 3. Which is smaller: f or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) be the first derivative of 2*q**3\/3 - q**2 - 2*q + 2. Let x(k) be the first derivative of d(k). Give x(2).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11758 is divided by 128.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h - 2 = -s + 14, -3*s = -4*h + 2. Calculate the smallest common multiple of s and 9.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*p**4 - 72*p**3 + 2*p**2 + 72*p.\nAnswer: -2*p*(p - 1)*(p + 1)*(p + 36)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = n + 0*n + 1 + n**2 - 1 - 3. Let i be u(-3). Solve 12 = 3*b - i, -b + 6 = p for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -22653 divided by -7551\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 223*z = 229*z - 48 for z.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -62 + 63. What is the second biggest value in 0.2, 2\/13, c?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1303 to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -36269 or -36270?\nAnswer: -36269","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zxjvxvxxxxzx. Give prob of sequence xj.\nAnswer: 7\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 5 + 120*r**6 - r**2 + 2 + 18*r - 16*r**6 - 7 wrt r.\nAnswer: 12480*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + 0 + sqrt(312)\/sqrt(6) + (sqrt(1872)*-4 - sqrt(1872))**2.\nAnswer: 2*sqrt(13) + 46804","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 110011001001111111001001 + -1000110?\nAnswer: 110011001001111110000011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-179*y + 640*y + 2432*y + (3 + 2 - 6)*(0*y - 3*y + y) - y - 3 + 3)*(3 + 4 - 5).\nAnswer: 5788*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 39 divided by -3?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -p - 1. Let c(a) = -5 - 8*a - a**2 - 1 + 0*a**2 + 2*a. Let l(f) = -c(f) + 6*g(f). Let x(m) = -3*m. Give l(x(o)).\nAnswer: 9*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 882?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 70, 68, 66, 64?\n\"Answer: -2*d + 72","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c - 4 = 2*q + 1, 2*c + 2*q - 16 = 0. Let n(b) be the first derivative of 1\/3*b**c + 2*b - 1 + 0*b**2. What is the first derivative of n(p) wrt p?\nAnswer: 2*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.05 in 3, -1, 4, 24?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 937*p + 9754 - 1354 = 1112*p for p.\nAnswer: 48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 775 + 1770. What are the prime factors of b?\nAnswer: 5, 509","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = 12*r**2 + 21*r - 48. Let v be x(2). Calculate the greatest common factor of v and 20370.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 33220843?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert -9570e (base 15) to base 2.\nAnswer: -1110011101111101001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 2, 20\/9, -5, -0.5 in increasing order.\nAnswer: -5, -0.5, 2, 20\/9, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*r - 12 - 2 = 0 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -a + -30ec42?\nAnswer: -30ec4c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3069.\nAnswer: 3, 11, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 295*g - 9*g - 629 - 801. Let r(z) = -z**2 + 17*z + 6. Give r(g).\nAnswer: 66","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 27 and 296.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*b + 42*s = 45*s + 29, 19 = 5*b + 2*s for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2725 and 750.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -14 + 8 + (3 - -39) + 2 + 14.\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2108?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 46\/1602403 and 47\/396.\nAnswer: 57686508","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*q**2 - 34*q + 34*q - 6*q**2 + 866134 - 866164.\nAnswer: -10*q**2 - 30","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 463 divide 3237296?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = l**2 + 18*l - 7. Determine s(-16).\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*m - 22*m + 1380. What is the units digit of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 8483, 8491, 8487, 8465, 8419?\nAnswer: 8343","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = 6*h - 54. Give k(9).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 s, 1 g, and 1 v when four letters picked without replacement from jsvjjjsgjjgjjggggggj?\nAnswer: 8\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2\/15 + 7\/60. Suppose 2*r - 9 = -1. Let m be 5\/(-150) - (-2)\/10. Sort w, r, m in ascending order.\nAnswer: m, w, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (14\/21)\/((-761)\/(-2283))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 19398555 and 33?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3092 - 132*y + 133*y + 391 + 1101 - 2181 to i + k*y and give k.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: What is 211650024 to the power of 1\/4, to the nearest integer?\nAnswer: 121","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*g = -4*g + 5*k - 77275, -3*k = 2*g - 30917. What are the prime factors of g?\nAnswer: 2, 1931","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2441*b**2 + 4776*b**2 - 2333*b**2 + 1 + 1284*b to the form n + k*b**2 + i*b and give n.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -2*n**3 + 6*n**2 + 11*n - 7. Give q(4).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -17\/113 in -0.4, -0.04, -6, -0.5, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from omtoohmnmttmohhorho. Give prob of sequence th.\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 37155556 and 692.\nAnswer: 692","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2000 is divided by 77?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1846*l**2*s**3 - 2052*l*s**3 wrt l?\nAnswer: -3692*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 5068590 to the nearest integer?\nAnswer: 172","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 114471 divided by 12719.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = 37*a - 259. Let z be l(10). Factor 4*b**3 - b - 10*b - 97*b - 105 - z.\nAnswer: 4*(b - 6)*(b + 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15365229?\nAnswer: 3, 11, 17, 61, 449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find d such that -26*d**2 - 389458*d\/3 - 19972\/3 = 0.\nAnswer: -4993, -2\/39","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*f*h*m + 529*f*m**2 + 69*h*m**2 - 534*h*m - 4*h wrt m.\nAnswer: 1058*f + 138*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -53\/20 and -83\/20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-4)\/8*(3 - (18 - -1)). Sort j, -3, 3, 4.\nAnswer: -3, 3, 4, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -10*n + 7. Let p be z(-8). Let c = p - 151. Let a = -30 - c. Does 17 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 0 (b) 309 (c) 7\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Work out -291 * -197.83.\nAnswer: 57568.53","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 300*n + 1082 + 418. What is the second biggest value in n, -2\/9, -2\/13, 0.06, 1?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10034712?\nAnswer: 2, 3, 46457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p and 3 e when four letters picked without replacement from {u: 1, e: 8, p: 4}.\nAnswer: 224\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 390, 812, 1266, 1752, 2270, 2820, 3402?\nAnswer: 4016","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2114 by -131.\nAnswer: 2114\/131","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1293 by 3.\nAnswer: 431","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 10230?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*x**2 + 0*x**2 - 5*x**2)*(-2*x + 1 - 1) + 2*x**3 + 2 - 2 + 8*x**3 - 7*x**3 + 12*x**3 + (-x - 2*x + 4*x)*(225*x + 75*x**2 - 225*x).\nAnswer: 94*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*y - 5982 = -3*i, 8*y - 7*y - 10054 = -5*i. What is the tens digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (-2*(sqrt(1700) - (1*sqrt(1700) + 4 - sqrt(1700))) + 5 + 2 + sqrt(1700)*2)**2 + 0.\nAnswer: 224","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -5*d + 3*x - 3, -5*d + 5*x = 0. Let m be (-2 - -5) + (2 - 2). Let a be (-30)\/d*(m - 1). Solve 21 = 5*g + 2*h, a - 4 = 4*g - 3*h for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4075462 by 2.\nAnswer: -2037731","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 378133 to the nearest integer?\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + 14 + (15 - 3) + -14?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -38 - -537387.23385?\nAnswer: 537349.23385","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-2)\/5)\/(8\/(-10)). Let p be 4\/4 + -3 + (-264)\/(-154). What is the nearest to p in -0.1, -5, s?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = 4*u**2 - u - 2. Let m(i) = 6*i**2 - i - 3. Calculate -5*m(h) + 7*q(h).\nAnswer: -2*h**2 - 2*h + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one eighths of a millimeter in micrometers?\nAnswer: 2625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -365 - 160 = -25*u. Is (-5 - (-91)\/u)*9795\/(-2) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -4438 * -0.07.\nAnswer: 310.66","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert -51 (base 13) to base 15.\nAnswer: -46","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u + 18 = 2*j - 3, -5*u = 5*j - 45. Suppose 15*m = j*m. Solve 4*l + m = 12 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 88571 - 48462. Is n composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 686192470 to the power of 1\/2, to the nearest integer?\nAnswer: 26195","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10932947?\nAnswer: 101, 108247","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 20\/(-2)*2\/4. Let g be (-1)\/(-2) + i\/10. Solve g = -3*x + 2*j - 10, 2 + 14 = -3*x - 4*j for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4227, 9116, 14017, 18930, 23855?\nAnswer: 28792","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find n such that n**2 - 6968*n + 12138256 = 0.\nAnswer: 3484","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 133060 and 16.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3894 - 1401 - 7408 - 983)*(-2*c**2 + 2*c**2 + 2*c**2).\nAnswer: -27372*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11110101 + -11011010011?\nAnswer: -11111001000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 65*v - 2*d + 21 = 62*v, -5*d + 20 = -v for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2944053*d**5 - d**4 + 2*d**3 + 231426*d**2 + 6?\nAnswer: -176643180*d**2 - 24*d + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -43\/2265 and 25\/63.\nAnswer: 47565","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 38, 67, 132, 251, 442, 723, 1112, 1627?\n\"Answer: 3*d**3 + 8*d + 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 1671300 to the nearest one hundred thousand.\nAnswer: 1700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2 (b) -1115 (c) -2 (d) -5 (e) 7 (f) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = d**3 + 199*d**2 - 1516*d - 49895. Calculate k(19).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -q - 3*q - 4880000. What is q rounded to the nearest one hundred thousand?\nAnswer: -1200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -71\/122360 and -121\/5520?\nAnswer: 734160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 14 and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2256 and 87956?\nAnswer: 49607184","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8*(-28 - (26790\/(-418) - -36)).\nAnswer: 8\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 112 and 720.\nAnswer: 5040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*s**2\/3 - 553147760*s - 57369833323690800 = 0. Calculate s.\nAnswer: -207430410","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1742)\/(-201))\/((6\/(-18))\/(2\/(-22)))?\nAnswer: 26\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-24)\/(-7))\/(1\/14). What is the highest common divisor of 6 and c?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = 4*h**3 - 3*h**2 + 4. Let n(d) = -21*d**3 + 15*d**2 - 20. Determine 2*n(u) + 11*o(u).\nAnswer: 2*u**3 - 3*u**2 + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + (1 + sqrt(1216) + sqrt(1216) + 1 + 1)*-4)**2.\nAnswer: 1280*sqrt(19) + 77924","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z - 2 = 6*z. Let d be 63\/36 - z\/4. Suppose d*o - 487 = 307. Is o prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4523 in 60, -0.5, -2.7?\nAnswer: 60","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 964 in 2\/9, -0.2, -2\/7, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-120)\/(-28) + (-5 - -1).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -27*n - 141. What is the remainder when k(-8) is divided by 21?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 63*q - 105*q = -546. Suppose 14*l - q*l - 5 = 0. Solve -22 = -3*x - l*y, -4*x + 0*x = -2*y + 14 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = 5 + 7*i**3 - 13*i**2 + 8*i**2 - 4*i**3 - 1 + 3*i - 2*i**3. Give b(3).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = 5*c - 8*c. Suppose -c = 4*d + 5. Suppose 4*g = 7*g - 9. Put g, d, 2 in ascending order.\nAnswer: d, 2, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 1129 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 192398?\nAnswer: 2, 96199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of -1 + 9\/3 + -3 + 69.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = g. Let q(a) = 1730927*a**2. Calculate q(u(h)).\nAnswer: 1730927*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*r**2 - 2168190*r + 10841075.\nAnswer: -5*(r - 5)*(r + 433643)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = 25*p**2 - 8*p + 80. Let x(o) = -3*o**2 - o - 10. Let m(y) = -k(y) - 8*x(y). Let s(r) = -1 + 1 - 3*r**2. What is s(m(u))?\nAnswer: -3*u**4 + 96*u**3 - 768*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**6)**(3\/5)\/(l**(6\/11)\/(l*l**(-4\/5)*l)))**21 assuming l is positive.\nAnswer: l**(4914\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 17 - 14. Let d(r) = -g + 0 + 3 - 5*r. Suppose -2*b + 33 = 11. Let f(z) = -9*z. What is b*d(w) - 6*f(w)?\nAnswer: -w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 56632 is divided by 157?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = q**2 - 30*q + 117. Let z be i(5). Let l(b) = b**2 + 2 - 6*b - 2*b**2 + 3. Let d be l(z). Is -11 at most d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -22*x + 22*x + x**2 + 13*x - 16 + 5*x + 12*x to the form l*x**2 + p*x + z and give l.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.19 + 0.29. What is the third smallest value in 2, w, -0.2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1309 a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -71\/110 and -113\/880.\nAnswer: 880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -91\/138 and 127\/30930.\nAnswer: 711390","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 246470?\nAnswer: 2, 5, 7, 503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*j + 46 = -128. What are the prime factors of j?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00632 rounded to 4 decimal places?\nAnswer: -0.0063","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 237436625 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 + -5 + (10 - (12 - -8))?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -n**2 + 12*n + 2905. Determine s(61).\nAnswer: -84","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2 - 2. Suppose 2*u - 4*x - 20 = l, -u + 0*u - 2 = 2*x. Solve -r - 12 = -3*s, -2*s = -0*r + u*r - 8 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -15 and -0.2.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = b**3 + 3*b**2 + 19*b - 758. Let w be v(0). Is -2270\/3 > w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1365149 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 28691, 57305, 85919?\n\"Answer: 28614*n + 77","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -376561530*m**3 - 61913*m + 385?\nAnswer: -2259369180*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = 2*m + 4. Let y be g(3). Let o = -731 + 771. Calculate the highest common divisor of y and o.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1353 = 3*m + 4*u, -m + 84 + 368 = u. Suppose -557 = -4*h + m. Is h prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 168 + -1. Solve r = 9*n + 149 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -32220 divided by -30?\nAnswer: 1074","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*y = -2*v + 104, 2*y - 116 = -497*v + 492*v for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) be the second derivative of 0 + 3*g + 0*g**2 + 1\/6*g**3. Let p(w) = -2*w**2. Give p(j(i)).\nAnswer: -2*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 496549861?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x and 1 z when two letters picked without replacement from xxuzxxzxuzzz.\nAnswer: 25\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 2612309, 2612128, 2611947, 2611766, 2611585?\n\"Answer: -181*a + 2612490","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*t + 200 + 191 - 238 = -46*t for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 367*g - 400*g - 99 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 205425 divided by 82\nAnswer: 205425\/82","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u = -3*u. Let j(m) = -m**2 + 2. Does 2 divide j(u)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 151\/18 and -79\/2240?\nAnswer: 20160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 634911?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2*(-18)\/(-7))\/(165\/770))\/2?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (0 + 3)*(0 - -1)\/1. Solve -l*w + 3 = -0 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 24748281 is divided by 35?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of (48\/4)\/(-3) + 8 and 5.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*x - 660 = 4*x. Let o be x\/99 - 2\/9. Factor 2\/3*g + 0 - 2\/3*g**o.\nAnswer: -2*g*(g - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 3833\/14 - 274. Let q = 13\/28 + a. Let x = 4 - 4. Is q at most as big as x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine y so that -3*y**3 - 891*y**2\/4 - 8325*y\/2 - 4107\/4 = 0.\nAnswer: -37, -1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nqn when three letters picked without replacement from nnqnnnnnvnn?\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -45*q + 71*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.4 + -0.13. What is l rounded to 1 decimal place?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:30 PM and 4:11 PM?\nAnswer: 101","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -6571, -52584, -177497, -420766, -821847, -1420196, -2255269?\n\"Answer: -6576*k**3 + 6*k**2 + k - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1006 is divided by 965?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = 2*d**3 + 90*d**2 + 103*d + 4630. Give a(-45).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-1*(-157)\/(-2))\/(70\/(-9940)).\nAnswer: 71, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.29 - 141.6.\nAnswer: -141.31","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange l**4 + 17 + 13 - 7*l**4 + 13 + l - l**3 + 4*l**4 to the form k*l**3 + w*l**2 + x + t*l**4 + v*l and give w.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -4.2037 - -4.2. What is t rounded to three dps?\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 66.364*-6\nAnswer: -398.184","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22 = 4*m - 6*m + 2*y, 0 = 3*m - 2*y - 31. Solve 0 = 7*u - m*u - 2 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -37 in 0.1, 0.06, 5\/3?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -19 + 3*n - 23*n**2 + 14 + 7*n + 6 + 2*n**3 to the form f*n**2 + z + y*n + a*n**3 and give f.\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 4\/33187 + -3021\/33187. Let g = -6 + 6.1. Which is the nearest to u? (a) g (b) 1\/3 (c) -5 (d) -0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 4.2 + -37.2. Let f = a + 33.58. Round f to one decimal place.\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -5*h. Let l(t) = -30*t**2. Give l(s(g)).\nAnswer: -750*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = 2*o**2 - 455*o. Let z(f) = -81*f. Determine z(s(q)).\nAnswer: -162*q**2 + 36855*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b (base 13) to base 3\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = 773*a**2 - 47*a - 4. Let r be o(9). Suppose 0 = m + 3*y - 205009, -142808 - r = -m + 2*y. What is m rounded to the nearest 100000?\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1855848866 to the nearest integer?\nAnswer: 1229","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -300877 divided by 17?\nAnswer: -300877\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -179*x**3 - 212*x**3 + 392*x**3.\nAnswer: x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: ((-10)\/(-6))\/((-160)\/1440)\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v = -2*b + 3, -v + 3*b + 5 + 8 = 0. Solve 0 = -3*i - v + 1 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y + o = 16, 3*y + 2*o - 2 = 5*y. Suppose 4*q = y*q. Let b(d) = -d**2 + d + 2. What is the lowest common multiple of b(q) and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -3*l**3 + 5*l**2. Let u(w) = -w + 0 + 3 - 4. Let t be u(3). Let d(f) = 2*f**3 - 4*f**2. Let z = 0 + -5. What is t*g(x) + z*d(x)?\nAnswer: 2*x**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = 2*o**3 - 2*o**2 - 2*o + 3. Let t be c(3). Let g = -4 + 5. What are the prime factors of g\/9*3*t?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 68640 to the nearest integer?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s + 2*x + 17 = 5*s, -3*x + 41 = 5*s. Suppose 0*j = 3*j - 15. Suppose 3*t - 1 = 14. Solve 2*n = 3*q + s*n - 2, -j*n = t*q for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -714 = 4*u - 2*o, o = 2 + 1. Let a = -117 - u. What is the greatest common factor of a and 210?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*z - 3*z + 6*z)*(-35 + 28 + 40)*(0*z**2 - 2*z**2 + z**2).\nAnswer: -99*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-15996)\/558)\/(-43)*(-5)\/(15\/576).\nAnswer: -128","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -8634 + 9058. What is the lowest common multiple of l and 636?\nAnswer: 1272","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = 2*z. Suppose 4*o - 55 = -o. Let v(n) = -15*n**2 - 6*n - 5*n + o*n. What is v(i(a))?\nAnswer: -60*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + ((sqrt(2016)*1 - sqrt(14))\/(2*sqrt(200)) - (6*(-1 + sqrt(7) - sqrt(7))*5*-3)**2).\nAnswer: -8098 + 11*sqrt(7)\/20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -62, -168, -364, -692, -1194, -1912, -2888, -4164?\nAnswer: -5782","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3\/2 - 3\/2*n**2 + 11\/4*n + 1\/4*n**3.\nAnswer: (n - 3)*(n - 2)*(n - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 3871.933 weeks?\nAnswer: 2341745078400000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -1 - (-7 - -4) - 4. Let h = 15 + o. Suppose -3*a + 4*l + 5 = -2, 1 = -a + 2*l. What is the lowest common multiple of a and h?\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j*j**(2\/21))\/j*(j\/(j**4*j))\/j)**(1\/13)*(j*j**(-1))**(2\/105)\/((j**2\/j*j)\/j)**(2\/85) assuming j is positive.\nAnswer: j**(-9301\/23205)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1320 - 1450. What is the smallest value in -3\/4, -5, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4714 is divided by 124?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -19 (base 12) to base 11\nAnswer: -1a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 68*f**2\/9 - 28*f + 16.\nAnswer: 4*(f - 3)*(17*f - 12)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 41\/6 and 83\/54.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -2*p**3 - 2*p + 4. Let b(x) = -x + 4. Let k(q) = -1. Let l(j) = b(j) + 3*k(j). Calculate i(h) - 4*l(h).\nAnswer: -2*h**3 + 2*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 557 minutes before 1:16 AM?\nAnswer: 3:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 121356, 121354, 121350, 121344?\n\"Answer: -y**2 + y + 121356","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 6 - 2. Solve 1 - 27 = -3*d + 5*l, -l + 4 = a*d for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4855 rounded to 1 decimal place?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3546 + 937 + 869 - x**3 + 875 + 865.\nAnswer: -x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -n**3 + 34*n**2 + 35*n**2 - 69*n**2 - 24*n to x*n**2 + u + c*n + r*n**3 and give r.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in five eighths of a litre?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 4 - 2 + 12*l - 14*l wrt l?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 22\/(-7)*(-210 - 119\/(-17))?\nAnswer: 2, 11, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12445*q = -16959*q + 148962 for q.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = l**3 + 8*l**2 - 2*l - 4. Suppose 56 = -6*u - u. Let x be g(u). Suppose 4 + x = 2*d. Calculate the smallest common multiple of d and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = i**2 + 3*i - 2. Let z be g(-4). Suppose 0*m - z*m + 32 = 0. What is the units digit of m?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 minutes before 1:19 AM?\nAnswer: 1:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rrrrbbrrrrbrbrrrrr. Give prob of picking 3 r.\nAnswer: 91\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -15214*w - 181841. What is t(-12)?\nAnswer: 727","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -586 - -586. Let m(g) = -g**3 + g + 28. What is m(q)?\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine y so that -28*y**3\/5 - 9515516*y**2\/5 + 20390512*y\/5 - 2718736\/5 = 0.\nAnswer: -339842, 1\/7, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*-2*sqrt(1728) + sqrt(1728))\/(sqrt(20)\/(2*sqrt(5))*4).\nAnswer: -18*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*m**2 + 5*m**3 + 138 - 2*m - 2*m**2 - 2*m.\nAnswer: 5*m**3 + 9*m**2 - 4*m + 138","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -y**2 + 4*y. Suppose 56 = t - 0*t - 5*g, -5*t + 2*g = -234. Let s(a) = 8*a - t*a**2 - 3*a + 45*a**2. Give 4*s(r) - 5*x(r).\nAnswer: r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (420\/90)\/(2\/(-3)) + -1?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand w**3 + 0*w**3 - 4*w**3 + (15*w + w**2 - 2*w**2 - 23*w)*(0*w + 6*w - 2*w).\nAnswer: -7*w**3 - 32*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.9512 + -4.9512. What is the smallest value in -0.5046, w, -0.2?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -114 - 106. Let s(f) = f**3 - 2*f**2 - 3*f - 2. Let w be s(3). Let l be w\/6 + t\/15. Round l to the nearest ten.\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = 16*p - 78. Let s be v(5). Let f(r) = -199 + 5*r + 199 - s*r. Let t(y) = y - y - 3*y. Calculate t(f(k)).\nAnswer: -9*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -342964, -685918, -1028918, -1371988, -1715152, -2058434, -2401858?\nAnswer: -2745448","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**(-2\/9)\/w)\/((w\/(w**(-11)\/w)*w)\/w))**(-48)*(w**(-6)*(w*w*w**4)\/w)\/(w**1\/w)**(1\/3) assuming w is positive.\nAnswer: w**(2045\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -28377244 divided by -14434?\nAnswer: 1966","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -48, -109, -188, -297, -448, -653?\n\"Answer: -2*q**3 + 3*q**2 - 56*q + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-144)\/(-2))\/((-1074276)\/(-12789))?\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 401195, 401211, 401231, 401255, 401283?\nAnswer: 401315","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1859869, 1859870, 1859871, 1859872?\nAnswer: 1859873","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -16*p**5 + 49*p**4 - 191*p**3 - 11*p**2 + 11. Let t(w) = 3*w**5 - 10*w**4 + 38*w**3 + 2*w**2 - 2. Let y(m) = -2*o(m) - 11*t(m). Factor y(b).\nAnswer: -b**3*(b - 6)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2577 a multiple of 181?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (d**2 + 2*d - 2*d)*(187*d + 348*d - 144*d + (-d + 5 - 5)*(1 - 2 - 1) + d + 0*d - 2*d).\nAnswer: 392*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 10212967?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2.0483 + -0.0483. Which is smaller: -56 or l?\nAnswer: -56","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 274 divide 188238?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s - 42 + 18 = 0. Suppose 0 = -r - 3*r + s. Suppose 3*c + r*n = c + 146, -4*c + 332 = -4*n. Is c a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 182*d - 87*d = 82*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 43 a factor of 3155297?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-3)\/(-6))\/(1*6\/(-24)). Sort k, 0, -3, 7.\nAnswer: -3, k, 0, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-14)\/4*180\/420\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v and 2 n when three letters picked without replacement from {n: 4, v: 16}?\nAnswer: 8\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 24.759582 seconds in minutes?\nAnswer: 0.4126597","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.5 and 0.8735.\nAnswer: 0.3735","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 55 + -115. Let m = 9382 - 9322.53. Let z = f + m. What is z rounded to one decimal place?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 123884409 to the power of 1\/9, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h + 9 = 7*h. Suppose 0 = -5*c + 4*o + 13, -4*c - h*o + 26 = -o. Solve 0 = q + 3*i - 11 - c, 4*q + 3*i = 28 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -499*t - 6. Determine r(0).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 5\/8 of a tonne?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 5 (b) -0.7 (c) -7 (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 334989 greater than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from smudujy. Give prob of sequence mdsj.\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 8119 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h*h\/(h\/(h*h\/((h*h**3)\/h)*h))*h)\/(h\/(h*((h**(-12)*h)\/h)\/h)))**(-46) assuming h is positive.\nAnswer: h**506","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (4\/6)\/((-6)\/(-126)). Let d = s + -11. Solve q = d*q + 2 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.07197, -2, -11, -1, 3\/4 in increasing order.\nAnswer: -11, -2, -1, 0.07197, 3\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 21\/5 of a centimeter?\nAnswer: 42000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5150542?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -8*k - 10. Let p = -4 - 0. Let f be u(p). Let w = -23 + f. Put w, 13, -4 in descending order.\nAnswer: 13, w, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u = -3*j - 25, 4*j + 16 = 4*u - 12. Suppose 0 = -4*t + 12, 2*p - u*t + 5 = 1. Solve -2 = l - p for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*c**4\/3 + 1294*c**3\/3 + 6782*c**2 + 97370*c\/3 + 123676\/3 = 0 for c.\nAnswer: -631, -7, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -1 + 1 + -44*(-3)\/(-12) + -9\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x - 39 = -4*m, 27 + 5 = 3*m - 2*x. Suppose 65 = m*l - 45. Suppose -3*i - 2 = -l. What is the closest to -1 in 0.1, i, -12?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 236, 571, 1130, 1913, 2920, 4151, 5606?\n\"Answer: 112*k**2 - k + 125","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 8028328 and 8624.\nAnswer: 616","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 872965.7 nanometers to millimeters.\nAnswer: 0.8729657","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j - 2*m - 596 = -0*m, j - 167 = -4*m. Let n = 131 - j. Let q = n + 219. What is the hundreds digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 7*3\/6*-2. Let m be b\/(-2)*(1 + 21). What is the greatest common divisor of 7 and m?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -284403.465 rounded to the nearest one hundred?\nAnswer: -284400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 19 + -19.7. Let v = 1.7 + j. What is the closest to v in -1, 2\/11, 5?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1045, -8, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3 + 2*o**4 + 3 + (12*o**3 - 2*o**3 + 3*o**3)*(-2 + 2 - o) - 3*o**4 + 3*o**4 + o**4.\nAnswer: -10*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 675808?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 3\/(-4) + 1\/(-4). Calculate the common denominator of 63\/2 and q*((-111)\/6)\/1.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jpqqfssqq. Give prob of picking 2 s.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/10 of a gram in milligrams?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4434.\nAnswer: 2, 3, 739","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Add -3447173982 and 170.1.\nAnswer: -3447173811.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 2 + 2)*(0 + 1 - 4)*(-2*k + k - k).\nAnswer: -12*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 20, -1, 36, -4 in descending order.\nAnswer: 36, 20, 5, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (1\/(-2))\/((-3)\/(-210)). Let m = g - 21. Let u be 6\/15 + m\/(-10). Solve 0 + u = -2*f for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = 4*k - 11. Let q = 25 + -14. Let i(m) = 1 + 2*m - 3 - 4. Suppose 4*o - 9 = -3*w - 42, 4*w = -5*o - 42. Give o*b(j) + q*i(j).\nAnswer: -2*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -73602 divided by 261.\nAnswer: -282","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1)\/((-7)\/4))\/(993\/(-2317))?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000183656 rounded to 6 decimal places?\nAnswer: 0.000184","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 173 = 71*a - 6 - 2022 for a.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express (50*v - 21*v + 18 - 30*v)*(-5 + 0 + 3) - 4*v + 3*v + 4*v in the form z*v + c and give z.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -25 (base 8) to base 4\nAnswer: -111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*x + x + x)*(x - x + x) - 649*x + 649*x - 3*x**2 - 2*x**2 - x**2 + x**2 + (-1 + 2 + 1)*(3*x**2 + 2*x**2 - 6*x**2) to n*x**2 + b + v*x and give n.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -4*v. Let d(m) = -44*m**2 - 6. Calculate d(k(l)).\nAnswer: -704*l**2 - 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -56*-186.8284.\nAnswer: 10462.3904","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -14639 - -14681. Calculate the greatest common divisor of 1974 and b.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 65 = 83*g + 2*d, -272*g + 73 = -271*g - 8*d for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10\/4*(-80)\/300.\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 2 + 3)*(-23*a + a**5 + 23*a + a**3) - 2*a**5 + 0*a**5 - a**5 + (-1 + 1 - 3*a)*(2*a**3 - 8*a**4 - 2*a**3).\nAnswer: 25*a**5 + 4*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 - (5\/(15\/(-9)))\/((-3)\/15).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 34 and 2548606.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 7481295 and 7248?\nAnswer: 453","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = 8*c**3 - 20*c**2 - 3*c + 1. Let h(y) = 3*y**3 - 14*y**2 - 4*y + 1. Determine -3*h(z) + 2*p(z).\nAnswer: 7*z**3 + 2*z**2 + 6*z - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 526\/(-10) - (-9 - -6) - ((-13572)\/195 + 68).\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-8)\/(1 + 1))\/(98\/(-21)).\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 150119 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 176472?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5549 is divided by 5094.\nAnswer: 455","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (10 - (-3 + 9)) + 90\/2. Suppose w*p - 141365 = 14*p. Is p prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = 4*i**2 - 41*i - 1169. Calculate t(23).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = 2*i**2 - 3*i + 5080. Let y be x(0). Round y to the nearest one thousand.\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*m**3 - 12*m - 2*m**3 + 3 + 12*m to c + t*m**3 + k*m**2 + h*m and give c.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -28606 - -28605.9600016. Let m = -0.04 - p. What is m rounded to six dps?\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2.09 + 0.09. Which is the third smallest value? (a) 3\/8 (b) s (c) -1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(132)\/sqrt(108) + 1 + sqrt(396).\nAnswer: 1 + 19*sqrt(11)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 4004076697 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 48*f - 69*f + 2751. Let x be (-214)\/4*22\/9. Let h = f + x. Which is the second biggest value? (a) 1\/2 (b) 0.1 (c) h (d) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2802714, -5605450, -8408202, -11210976, -14013778, -16816614?\nAnswer: -19619490","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -552*u**2 + 227*u**3 + 552*u**2 + (4*u + 4*u + 4*u)*(-1 + 0 + 3)*(-4*u**2 + 0*u**2 + 6*u**2).\nAnswer: 275*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2839 is divided by 899.\nAnswer: 142","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 174294763.\nAnswer: 829, 210247","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -13097006 divided by -503731\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put 75, -5, 0, 8, 5 in ascending order.\nAnswer: -5, 0, 5, 8, 75","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -2*c + 1. Let p(t) = 3*t**3 - 4*t**2 + 4. Let s be p(2). Suppose 0 = 5*u - s - 3. Let o be r(u). Which is smaller: o or -4?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = h**3 + 25*h**2 + 32*h - 55. Let m be y(-24). Let w = -242 - m. Solve -4*t = -3*t + w for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 3 + 5)*(-306*n**4 + 75*n**4 + 80*n**4).\nAnswer: 151*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 179617085 a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/5 of a milligram in micrograms?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is z in -z**5 - 663*z**4 - 126859*z**3 - 5698773*z**2 - 96383200*z - 560872704 = 0?\nAnswer: -304, -21, -17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 561160?\nAnswer: 2, 5, 14029","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 92 and 9286526.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (o + 3*o + 0*o + (0 + o + 0)*(-2 + 1 + 4))*(-4*o**3 + 4*o**3 + 8*o**3).\nAnswer: 56*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) be the second derivative of 71*h**3 + 106*h**2 - 5*h + 32. What is the first derivative of w(a) wrt a?\nAnswer: 426","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lfuf when four letters picked without replacement from {u: 5, f: 4, s: 2, k: 3, l: 5}.\nAnswer: 25\/7752","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 47 a factor of 85?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express -6*k**2 - 3 - 31*k**2 - 3*k**2 + 16*k**2 in the form c*k + h + b*k**2 and give b.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -3*v**2 - 84*v - 210. Let n(o) = -o**2 - 5. Let z(d) = -h(d) + 6*n(d). Suppose z(s) = 0. What is s?\nAnswer: -2, 30","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-328)\/451*55\/(-70)?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k = -5*z + 37, 0*k = 2*k - z + 29. Let o be ((-4)\/(-12))\/(1\/k). Let i be 4\/(-10) + (-4)\/(-10). Put o, 1, i in decreasing order.\nAnswer: 1, i, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 124969389 * 0.1\nAnswer: 12496938.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11397.\nAnswer: 3, 29, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -v**3 + 23*v**2 + 26*v - 38. Let l be 28 + (-30)\/12*(-24)\/(-15). Let a be g(l). Solve 2*x - 1 = -2*w + 9, a = 2*x for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.1 * 13.2.\nAnswer: 1.32","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2218319 - -4298440. Is i composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hhhhrrhtrtqhqyqjhht. Give prob of sequence hyh.\nAnswer: 28\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (-35)\/147*3962\/8490?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*(sqrt(70) + (sqrt(70) - sqrt(70)*2)))\/((sqrt(1210)*1 - sqrt(1210)) + sqrt(1210)))**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*v = -7*v + 3. Let l(x) be the first derivative of -x**3\/3 - x**2 + x - 4033. Determine l(v).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 7 - 15 - 2*q - q**3 + 10 in the form p*q**2 + a*q + f*q**3 + r and give r.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3068 is divided by 603.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 42263 + 30313 = 24*g. What is the tens digit of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4\/7, -0.4, 1.262.\nAnswer: -0.4, 4\/7, 1.262","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 55*l - 56*l - 1, 2*x + 5*l = 31. Solve 10*k - 28 = -x for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 times 0.8?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14*m - 17 + 90 - 27 - 35 - 6*m.\nAnswer: 8*m + 11","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 7, 3, -140 in decreasing order.\nAnswer: 7, 3, -140","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-f**3 - 2 + 2)*(0 + 4 - 3) + 2 - 2 - f**3 - 4*f**2 + 3*f**3 + 4*f**2 - 224*f**3 - 104 + 104 to the form x*f**2 + i*f + j + z*f**3 and give j.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*t - 52 = 28. Let d = -6 - t. Solve -s - 3 = d*l + 4, -2*l - 3 = 5*s for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 344 - 199. What are the prime factors of p?\nAnswer: 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -2 - 80*c**3 - 6*c**2 + 42*c**3 + 37*c**3. Determine z(-6).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-14)\/4)\/((-16)\/32) + -3. Suppose -b + l = n, -b = 2*n - 0*n - 4. Let o be 10\/(30\/6) - (0 + b). Sort -3, o, -58 in descending order.\nAnswer: o, -3, -58","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 132660?\nAnswer: 2, 3, 5, 11, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*i + 20 - 0. Let m be (i - 2)\/((-3)\/(-168)). What is m rounded to the nearest ten?\nAnswer: -340","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1426*d - 1423*d - 9186 + 9186 + 2853*d.\nAnswer: 4*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -36 + 51. Suppose 4*x - 3*x - t = 0. Does 18 divide 3\/(-1*x) - 1578\/(-15)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -2*g**3 - 3*g**2 + 3*g - 1. Let v be q(-3). Let w = 26 - v. Suppose 5*y - w = 6. What is the units digit of y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4129839?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:26 PM and 2:54 PM?\nAnswer: 88","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.08399 and 3444122.1.\nAnswer: 3444122.01601","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3775 is divided by 31?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 68 - 36. Factor 4*q**3 + 32 - w*q**3 + 2*q**4 - 49*q - 31*q + 2*q**4 + 72*q**2.\nAnswer: 4*(q - 2)**3*(q - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19*n**2 + 137*n**2 - 13*n**2.\nAnswer: 143*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 52344.17mg to grams.\nAnswer: 52.34417","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 12 + -84. Find the common denominator of (-8)\/(-36) - (-547)\/h and 53\/22.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 213?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 2841961 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/(-2))\/((-668)\/(-2338))*10\/(-7)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:08 AM and 6:39 AM?\nAnswer: 331","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ag when two letters picked without replacement from gggggagcag?\nAnswer: 7\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 6.2 in -0.1, -4\/7, -3\/7, -2\/3?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 3822587, 15290355, 34403301, 61161425, 95564727?\n\"Answer: 3822589*q**2 + q - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 142116420 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/((z\/z**(1\/3)*z*z)\/z)*z**7)**24\/((z\/(z*z\/z**0))**3*((z\/(z\/(z**(2\/7)*z))*z)\/z)**(-35)) assuming z is positive.\nAnswer: z**200","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 - (7 + -1 + -1 + -12 + 6).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2593\/8 + -322. Let a = -1\/520142 + 1411405321\/2080568. Let b = a + -689. Calculate the common denominator of b and c.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1690348330?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = 823349*x + 6. Let m be i(-5). Let l = m + 6266739. Round l to the nearest 100000.\nAnswer: 2200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10001000101100 - 11?\nAnswer: 10001000101001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l - 2157 = j, 16*j - 13*j - 2169 = -5*l. Let w = l + -419. Calculate the smallest common multiple of 39 and w.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -251\/9 - -28. Let b = 12 - 8. What is the closest to b in x, -0.1, -1?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*w**4 + 0*w**4 + 4*w**4)*(6 + 2*w - 3*w + 25) - w**5 - 2*w**2 + 2*w**2.\nAnswer: -2*w**5 + 31*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/7 in 296.68, -4, 3, -6?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4? (a) 20 (b) 0.3 (c) -109 (d) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**28*q\/(q\/q**(-10)) assuming q is positive.\nAnswer: q**18","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -662811270 divided by -311179?\nAnswer: 2130","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.027 plus -191?\nAnswer: -191.027","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -2*(-2)\/8*(9 + -9). Suppose 421 = 2*l - j, z*j = l + 5*j - 183. Let -102*q**5 - 108*q**5 + 4*q**2 + 2*q + l*q**5 - 4*q**4 = 0. Calculate q.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 110 + -110111?\nAnswer: -110001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*t - 6 + 6 - t**2 + t in the form j*t**2 + i + g*t and give j.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o + 5 = -3*m, 20 = -4*o - 0*o - 4*m. Let n(b) = 2*b - 2. Let h be n(3). What is the nearest to -1\/5 in o, -3, h?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 4 - 14\/2*-16. Suppose 0 = -d - 3*d + c. Is d a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -76 = -4*c + 3*c. Suppose 2*u + 2*m - 20 = 0, -4*u + c = 3*m - 8*m. What is the second derivative of -17*v + 4*v + v**5 + u*v wrt v?\nAnswer: 20*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = t + 1. Let j(m) = -10*m**2 - 40*m - 40. Give -j(w) - 40*o(w).\nAnswer: 10*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u = -5*d - 70, 2*d = 5*d - 3. Let g be -2*(4 - (-6)\/(-3)). Let j = g + 31. Calculate the remainder when j is divided by u.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -398 - -399. What is the closest to b in -0.1, 0.5, -0.112?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2420.\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -2120300241 (base 5) to base 8\nAnswer: -21013753","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) be the second derivative of b**5\/20 - b**4\/12 - b**3\/3 - 3*b**2\/2 - 2*b. Let x be s(-5). What is the remainder when 3\/12 - x\/4 is divided by 19?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 54458080 and 9199.\nAnswer: 54458080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*d - d = 2086. Suppose d + 446 = 8*z. Is z even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine g so that 22*g**5\/9 - 460*g**4 - 11854*g**3\/9 + 2204*g**2\/9 + 5608*g\/3 - 3056\/9 = 0.\nAnswer: -2, 2\/11, 1, 191","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 24089.12ug to grams.\nAnswer: 0.02408912","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 187924?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 3767708 a multiple of 98?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-10)\/(-8)*(5 - -3). Let j = -8 + w. Let z be (3 - 1) + 0 + j. Solve 4*r + 4 = z*a + r, 0 = -4*a - 4*r + 32 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -3, 3, 26 in increasing order.\nAnswer: -3, 2, 3, 26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -17 - (28 + -16 + -26)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (4 + 2 + -3)\/(-1). Let o be (-2 - v)*(-5)\/(-10). Find b, given that 7\/4*b + 0*b**2 + o - 9\/4*b**3 = 0.\nAnswer: -2\/3, -1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2 and 68?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*w + 0*w - 4*w)*(-2 + 5 - 4)*(486 - 13*w - 486)*(-3 - 5*w**2 + 3).\nAnswer: 130*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m = m - 30. Suppose -m + 10 = h. Solve -2 = -3*s - h*l, -s - 5*l + 5 + 3 = 0 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*c + 5 = j - 4*c, -5*c + 5 = j for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 2, m: 3, g: 4}. Give prob of sequence nm.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -699, -703, -707, -711, -715?\n\"Answer: -4*g - 695","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Are -31246029 and -31245989 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 26683733 to the power of 1\/9, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-9)\/(-6) + 6\/(-12). Suppose -5*f = -6*f + 4*t - d, -3*f + 4*t - 3 = 0. Let j be (f\/3)\/((-7)\/(-903)). Which is greater: -44 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k = -4*j + 13 + 3, -5*j = 5*k - 30. Suppose 0*f = 3*w - 2*f - 55, k*f + 68 = 4*w. What is the highest common factor of 3 and w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -93*t**3 + 39*t**3 - 171*t**3 - 20*t**3.\nAnswer: -245*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -0.3, -6, 1, 5.4, -2\/13?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nk when two letters picked without replacement from {m: 1, k: 2, o: 4, n: 1}.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 16 - 10. Suppose t = s + 1. Suppose 0 = -q - 9*n + 41, 156*q - 151*q - 4*n = 9. Solve 3*u - 14 = q*l, -16 = s*l - 2*l + 2*u for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = r - 1. Let z(w) = 15*w - 104. Let k be z(7). Let f(q) = 7*q - 3. What is k*f(g) - 4*b(g)?\nAnswer: 3*g + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2 + (11 - 15) + 3*(-152)\/(-12). Solve 0 = 24*x - 108 - h for x.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (80\/(-72) - -1)*1. Sort n, -1, 1\/3, -0.2 in ascending order.\nAnswer: -1, -0.2, n, 1\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 - (-1 - (-3 + 1)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.139173 rounded to three decimal places?\nAnswer: 0.139","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1)\/(-68))\/((126\/(-168))\/(9\/6))?\nAnswer: -1\/34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*j**3*r**2*z**2 + 65673*j**3*r*z**2 + 5753*j**2*r**2*z - z**2 wrt j?\nAnswer: 12*r**2*z**2 + 394038*r*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 4220676 a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 6168863?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of u**2 - 420490*u - 47175 wrt u?\nAnswer: 2*u - 420490","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = 11635*l**3 + 7200*l**2 + 20*l + 5. Let h(p) = -5817*p**3 - 3599*p**2 - 8*p - 2. Let j(s) = 2*a(s) + 5*h(s). Find the third derivative of j(r) wrt r.\nAnswer: -34890","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s - 19 - 7 = -4*x, 5*s + 25 = 5*x. Let f(t) = 2*t**3 + 11*t**2 - 8*t - 9. Let w be f(s). Solve l - 1 = -w for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kjrrjokrrjrujirri. What is prob of sequence kki?\nAnswer: 1\/1020","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3485.\nAnswer: 5, 17, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.1, 296, 0.6, 2, -1\/6, -2\/11 in ascending order.\nAnswer: -2\/11, -1\/6, 0.1, 0.6, 2, 296","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00002721514672 to six dps.\nAnswer: 0.000027","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 1d8b02 (base 14) in base 5?\nAnswer: 232430332","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 5 (b) 0.64 (c) 1 (d) -3\/349\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (31\/((-409479)\/(-74)))\/(-3*(-2)\/(-42))?\nAnswer: -2\/51","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 28*m - 4 - 82*m + 56*m + 2 + 0.\nAnswer: 2*m - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 282497*p = 282481*p - 576 for p.\nAnswer: -36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 9 divided by 12\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d, 1 z, and 2 f when four letters picked without replacement from cddcufffudzddczz.\nAnswer: 9\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (5 - 20)\/(13\/7 - 2). Let a = 63 + z. What is the greatest common factor of 63 and a?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w**2\/4 + 807*w\/4 - 803 = 0. What is w?\nAnswer: 4, 803","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is j in 2*j**3\/3 + 1396*j**2\/3 - 1402*j\/3 - 932 = 0?\nAnswer: -699, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 49\/4 - 359\/28. Let p = -2 - -8. Let w = p + -6. Which is greater: l or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve k**4\/3 - 2*k**3\/3 - 7*k**2\/3 - 4*k\/3 = 0 for k.\nAnswer: -1, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -143125 (base 6) in base 11?\nAnswer: -a29a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7183 is divided by 397.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -757 - -1013. Calculate the greatest common factor of f and 320.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*s**2 + 0*s**2 + s**2)*(3*s - s + 0*s)*(4 + 1 + 0) to l*s**2 + a*s + n + q*s**3 and give q.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h, 1 x, and 2 p when four letters picked without replacement from huuhpxpupvxuv?\nAnswer: 12\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 262285763 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 110220 + -11?\nAnswer: 110202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n + 10 = 6*n. Let x = 0 - -15. Let i = -69\/5 + x. What is the smallest value in i, 1\/6, n?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 l and 1 p when three letters picked without replacement from {i: 2, p: 7, u: 1, l: 2}?\nAnswer: 7\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (22\/(-165))\/((-2)\/(-3)). Which is greater: d or -21?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 208658 - -1?\nAnswer: 208659","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -198122*p + 13*p**2 + 98950*p + 99172*p.\nAnswer: 13*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + (-6 - (2 + -7)) - 12 - 5.\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1062 in 0, 2\/15, 3, -6, -2\/7?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from lmmmmljjlmml. What is prob of sequence mmjj?\nAnswer: 1\/198","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1\/(-2 + (-14)\/4). Let o = 3.3 - 7.8. Let g = -5 - o. What is the third biggest value in g, s, 0.4?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 2 + 0)*(-3*r + r + 3*r) + (-1 + 2 + 1)*(-2*r + r + 3*r) - r + 0*r + 0*r + 267 - 267 + 256*r.\nAnswer: 260*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 minutes after 5:14 PM?\nAnswer: 5:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -5 - 30?\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 3b13 + 11?\nAnswer: 3b24","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 33669?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) be the second derivative of -f**3\/3 - 2*f**2 + 10*f. Let h be n(-4). Solve h*z = z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 55 a factor of 1134?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s = -58 - 38. Calculate the greatest common factor of s and 512.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r = 3*s - 226, 0*r - 57 = -s + 3*r. Suppose -3*m = m - s. Is m smaller than 18?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -244 - -180c?\nAnswer: 1598","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-115221)\/2702)\/(-597) - (2862\/28)\/3.\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = 2*u**2 + 3*u - 2. Let i be (((-6)\/6)\/(-2))\/(3\/(-18)). Calculate c(i).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 34323 is divided by 14.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 2531779 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -f*o + 12379226*f*z**2 + 3262*f + 5*o*z**5 + 4*o - 180*z wrt z?\nAnswer: 24758452*f + 100*o*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -539799, -1079610, -1619421, -2159232?\nAnswer: -2699043","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 8135 + -8137. Let s(c) = -7*c. Let d be 8\/(-6)*-3*1. Let w(j) = 5*j + d*j + 6*j. Calculate p*w(y) - 5*s(y).\nAnswer: 5*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let -v**2 - 106*v - 2184 = 0. Calculate v.\nAnswer: -78, -28","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 86 + -84. Suppose -8 = -v - 3*v. What is the highest common divisor of v and y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 4 + 0)*(3*o**2 - 75 + 73 + o**2).\nAnswer: 8*o**2 - 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 60 + -14. Let w(n) = -n**3 - 7. Calculate the lowest common multiple of i and w(-3).\nAnswer: 460","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3\/5 in -2\/19, 1\/6, 0.1, -5?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 112, -1\/7, -1 in ascending order.\nAnswer: -1, -1\/7, 112","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 1164 divided by -829\nAnswer: -1164\/829","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -4145*c**3*i**3*x - 2719*c**3*i**3 - 4*c**3*i**2 + 2*c**2*i**3*x wrt x?\nAnswer: -4145*c**3*i**3 + 2*c**2*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 2.87, 43402, 18 in decreasing order.\nAnswer: 43402, 18, 2.87","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**(-4)\/r*r*(r*r**(-1\/7)*r)\/r*(r**(-3)*r)\/((r*r**(-1\/4))\/r) assuming r is positive.\nAnswer: r**(-137\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one eighths of a microgram in nanograms?\nAnswer: 2625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -582*u**4 + 156*u**4 - 417*u**4 + (-2*u**2 + 2*u**2 - u**4)*(2 + 0 - 1) to x*u**3 + h*u**2 + j*u + t*u**4 + w and give t.\nAnswer: -844","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7766643 is divided by 349.\nAnswer: 346","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*u + 14*u + 627. Let a(z) = -881*z + 338. Is a(u) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -18 + 19 + -7 + 12 - (-4 - 11)?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -1000, -3827, -8554, -15193, -23756, -34255, -46702?\n\"Answer: -2*m**3 - 938*m**2 + m - 61","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = 32*n**3 + 11*n**2 + 55*n + 23. Determine o(-4).\nAnswer: -2069","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7379*n + 7378*n + 4*n**3 - 14757*n.\nAnswer: 4*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e and 2 j when three letters picked without replacement from ejjeeejqjjjeeejjjej?\nAnswer: 120\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.028 - 0.008. Let l = 3.05 + -3.05. Which is smaller: l or x?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1502 a factor of 98646245?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -19*p**3 + 3*p + 2. Let z be q(-1). Let y(t) = -t**2 + 17*t + 23. Let i be y(z). Solve -3*v - 10 = -i*v for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 38*q - 123*q - 98*q + 15*q to i*q + k and give i.\nAnswer: -168","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) be the first derivative of -13*n + 58 - 2*n**2 + 90 - 187 + 71. Calculate r(-9).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19527666 a multiple of 478?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 384411641 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 247152 is divided by 182?\nAnswer: 178","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:07 AM and 7:07 PM?\nAnswer: 660","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -23.4 rounded to the nearest integer?\nAnswer: -23","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 10 - 6. Let y be 327\/15 + 225\/(-125)*1. Solve -z - r*z = y for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1304 divide 142954912?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 2549 a factor of 15989877?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -9*i - 14. Let o(w) = -4*w - 7. Calculate -2*g(m) + 5*o(m).\nAnswer: -2*m - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3145.\nAnswer: 5, 17, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 216797 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1.5 - 5.5. Let i = u + 6.6. Let y = -113\/4 + 29. Which is the nearest to 0? (a) i (b) 1\/2 (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 344 - -5122?\nAnswer: 5466","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 353*o - 4*g = 341*o + 1 - 153, 3*o - 4*g + 53 = 0 for o.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) be the second derivative of 1\/2*c**3 + 5\/6*c**4 + 4*c - 1\/20*c**5 + 0 - 9\/2*c**2. Is k(10) a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2 - -4. Suppose a*d + 8 = -2*s - d, 9 = -5*s - 2*d. Let z = 1 + s. Solve -2*r = -z*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 8612, 8611, 8610?\n\"Answer: -m + 8613","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -44 + 47. Let z(w) be the first derivative of -2\/7*w**2 - 4\/21*w**f + 0*w + 2. What is q in z(q) = 0?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-9)\/1 - (-9 - (-2 - 187338\/(-93660))). Is k at least as big as -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*h**3 - 2*h**3 - 2*h**3)*(h - 2*h - h) - 75*h**3 - h**2 - 40*h + 77*h**3 + 2*h**4 + h**4.\nAnswer: 7*h**4 + 2*h**3 - h**2 - 40*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express 6*k - 6*k - k**2 + 0*k - 3 as m + j*k**2 + p*k and give m.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 899230?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -w - 4. Let p be h(-5). Suppose -5*a + 3*r = -20, 4*r = 2*a + p - 9. Suppose a*u = 4*f - 2*f + 70, 25 = u + 2*f. Are u and 20 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 111, 1133, 2873, 5331, 8507, 12401?\n\"Answer: 359*r**2 - 55*r - 193","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -5013220 (base 6) in base 13?\nAnswer: -83148","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Are -139 and -2388\/17 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 440711 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rgmmpprporggrro. Give prob of sequence pmg.\nAnswer: 3\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*t**5 - 99*t**4 + 117*t**3 + 1194*t**2 + 1224*t = 0 for t.\nAnswer: -17, -2, -3\/2, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 36\/(-192) + (-6 - (-64024)\/128). Sort -3, 4, g, -5 in descending order.\nAnswer: g, 4, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/5 of a litre in millilitres?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1562882?\nAnswer: 2, 173, 4517","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -202343024201 + 1?\nAnswer: -202343024200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 3592176 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (7\/((-105)\/(-216)))\/((-18)\/(-60)) is divided by 11?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -11 divided by -1149\nAnswer: 11\/1149","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 10300 - 10298. Let d(z) = -4*z**2 + 3*z + 3. What is d(m)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -9024, -18166, -27316, -36474, -45640?\nAnswer: -54814","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 142566298417 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 759 and 39583.\nAnswer: 1306239","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*c = 4*c + 176. Let s = 3317 + -3272. Let z = s + c. Are z and -1\/43 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 609 = b - 3*x, -5*b + x + 3*x = -3078. Suppose -16 + 4 = -4*u. What is the common denominator of (u\/4)\/(27\/b) and 29\/6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1179.\nAnswer: 3, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 6 - 12. Let r = l + 6.04. Let j = -0.06 - r. Are 3\/5 and j equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 18564660 divided by 515685?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*q = -z - 31, 2*z + 23789 = 4*q + 23751 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29*u + 2884 + 2836 = 55*u. What is the remainder when 412 is divided by u?\nAnswer: 192","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 8892 and 258552.\nAnswer: 3361176","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1\/13, -2\/3, 1?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 42806 + 57259 = 2211*m - 10485 for m.\nAnswer: 50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 423813?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 4 - 1. Let o be 100\/8 - 1\/(-2). Is -2 + 6\/z + o a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*k = -5*y - 2*k + 100247, 4*k = 4*y - 80192. Is (50\/75)\/(2\/y) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.17 + 0.57. What is the nearest to 1\/3 in -1, v, 3?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*l + 78 = -2*n - 2*l, -2*l = 26 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 11606 and 174.\nAnswer: 1009722","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + -16 + -26 + 18 + 44.\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 87 a factor of 10353?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 902, 1802, 2698, 3590, 4478, 5362, 6242?\nAnswer: 7118","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -r**3 + 10*r**2 + 11*r - 3. Let y be v(11). What are the prime factors of ((108\/16)\/(-9))\/(y\/456)?\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 7917938?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*b + 2*b + 3*b)*(1 + 0 - 3) - 2 + 2 - 2*b - 55644 + 55644 + 451*b.\nAnswer: 447*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = 2*z - 2 - 3*z - 3 - 5. Let g be v(-8). What is the smallest value in -2\/9, g, 3?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seven thirds of a hour in seconds?\nAnswer: 8400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 3\/10 - 1107\/(-10)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2 + -6 + 2)*(-60)\/9. Suppose -4*k + s = 4*q, -4*k + 2*k + 3*q = -25. What is the highest common divisor of k and 77?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 5 - 2. What is the units digit of a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) be the second derivative of i**2 - 3*i + 0 + 5\/6*i**3. Let j(r) = -r. Let f = 4 - 10. Give f*j(z) - d(z).\nAnswer: z - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 27\/2 of a litre in millilitres?\nAnswer: 13500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Add -5588 and 458.61.\nAnswer: -5129.39","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 110 - 115. What is the common denominator of -68\/9 and (-122)\/(-16)*(60\/27)\/k?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -2857, -2843, -2819, -2779, -2717, -2627, -2503?\n\"Answer: l**3 - l**2 + 10*l - 2867","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1083283\/794478 - 6\/7789. Calculate the common denominator of 67\/21 and b.\nAnswer: 714","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -237*s + 162*s + 113*s + 352*s + 355*s.\nAnswer: 745*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000298306 rounded to 6 dps?\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.0558 + -0.056123. What is n rounded to four decimal places?\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -9*l - 1 + 10*l + 6*l. Determine m(1).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -5*y + 77. Let b be o(18). Let h = 2 + -5. Put b, -1, h in decreasing order.\nAnswer: -1, h, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -z**4 + 1 - 1 + ((-4*z**2 + 4*z**2 - 2*z**2)*(-2 - 1 + 5) - 2*z + 2*z - z**2)*(-z - z**2 + z).\nAnswer: 4*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p - 3644 = w, -4*p + 0*w + 5*w - 2921 = 0. Let r = -332 - p. Is r a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 101 a factor of 4717171?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 16*4111.2307\nAnswer: 65779.6912","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-16*i - 14*i - 17*i)*(-i - 2*i + 2*i)*(0*i - i - i).\nAnswer: -94*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 438681839?\nAnswer: 1021, 429659","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 372 minutes before 7:18 AM?\nAnswer: 1:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6\/5, -18, -2\/21, 2.4 in descending order.\nAnswer: 2.4, -2\/21, -6\/5, -18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -688.3 - -688.8. Let w be -2 - 1\/((-462)\/915). Put 2, -1, w, t in descending order.\nAnswer: 2, t, w, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 89464?\nAnswer: 2, 53, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 3\/12*-3 - 300\/(-16). Suppose 5*y + 2*o - 53 = 0, y = -0*y - 2*o + 17. Calculate the greatest common factor of f and y.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = 12*m**2. Let n(q) = 4*q**3 - 2*q**2 - q + 1. Let k be n(1). Let t(v) = 4*v**2 + 0*v**k - 13*v**2. Calculate t(d(a)).\nAnswer: -1296*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = w**2 - 122*w - 1036680. Calculate m(1081).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = 4923*n**3 - 3*n + 5*n**2 - 2466*n**3 - 2459*n**3 - 4. Let m(f) = 2*f**3 - 5*f**2 + 4*f + 5. Calculate 4*b(p) + 3*m(p).\nAnswer: -2*p**3 + 5*p**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1455 and 1255.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 436510 to the power of 1\/7, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 1, b: 13, p: 1, q: 2, k: 1, o: 2}. Give prob of sequence yqb.\nAnswer: 13\/3420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*i - 932 + 74 = 0. What is the highest common factor of 11 and i?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -6*s*u**3 + 144*s*u**2 - 9*s + u**3 - u**2 - u + 96 wrt u.\nAnswer: -36*s*u + 288*s + 6*u - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2588713?\nAnswer: 47, 55079","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 15 (base 6) in base 10?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -2 divided by -248\nAnswer: 1\/124","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = 4*o + 5. Suppose q - 2 = -3*d, -9 - 1 = -5*q + 5*d. Let c be -2 - -13 - q*-1. Let v(s) = 9*s + 11. Calculate c*b(y) - 6*v(y).\nAnswer: -2*y - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 333842 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*h + 3 - 49 = -3*w + 4*w, -3*w = -5*h - 86 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 11068, 13920, 16774, 19630, 22488, 25348, 28210?\nAnswer: 31074","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 47452 - 22307. Let g = -176338\/7 + v. Let z = 46 + g. Which is the second biggest value? (a) 0.4 (b) z (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1433420617 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) be the third derivative of -7*u**4\/24 + 10*u**3\/3 + 14*u**2. Let y(n) = -22*n + 59. Let p(t) = -8*d(t) + 3*y(t). Differentiate p(q) wrt q.\nAnswer: -10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 6713 - -6543. What is the tens digit of r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l + 0*q - 5 = -2*q, -5*q = -5*l + 25. Let m be -12 + 5 + -3 + 0. Let o be 4\/m - (-2)\/10. Sort o, 0.5, l in descending order.\nAnswer: l, 0.5, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9380.604 litres in millilitres?\nAnswer: 9380604","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 891 - 565*h - 236*h + 87*h + 495 wrt h?\nAnswer: -714","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -13*n - 1. Let v(i) = -2*i**2 - 27. What is c(v(x))?\nAnswer: 26*x**2 + 350","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 bigger than 1369\/238?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -9*r**2 - 15 + 2*r + 12 + 2*r. Let a(t) = 5*t**2 - 2*t + 2. Give -5*a(q) - 3*d(q).\nAnswer: 2*q**2 - 2*q - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1263*z**3 + 0*z - 2 + 1266*z**3 - 2*z + 2*z**2 to the form b*z**2 + i*z + v*z**3 + q and give q.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k - k = -8. Let l = k + -2. What is the derivative of -b**2 + 1 + 0 + 0*b**l wrt b?\nAnswer: -2*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 2.792 to 2 decimal places.\nAnswer: 2.79","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t + 42 = 3*m, 5*m - 3*t + 28 = 98. Suppose m*a = 29*a - 15. Which is smaller: -1\/32 or a?\nAnswer: -1\/32","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 31*c**2 - 1940 + 3160 + 3280 - 33*c**2 to the form m + t*c**2 + s*c and give t.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 64*((-88)\/(-16))\/11. What is the highest common divisor of 864 and g?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 149\/18 and 59\/3114.\nAnswer: 3114","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*v**2 + 18*v - 24.\nAnswer: -3*(v - 4)*(v - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1826?\nAnswer: 2, 11, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1\/5 - (-1692)\/15. Let t = -21 + h. What is the tens digit of t?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 53060?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 18 and 174?\nAnswer: 522","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 1548 + (-17)\/(340\/360) a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 - g)*(3*g - 7*g + 0*g) + 2*g**2 - g**2 - 2*g**2.\nAnswer: 3*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 4552154040 a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 719 minutes before 12:03 AM?\nAnswer: 12:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor 8*u**3 - u**4 + 16*u**2 - 32*u - 3*u**4 + 3*u**4 - 3*u**4.\nAnswer: -4*u*(u - 2)**2*(u + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -451*g - 28 = -452*g. Differentiate -g*r**3 + 52 + 6480*r - 6480*r wrt r.\nAnswer: -84*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2856 = -56*q + 98*q. Calculate the highest common factor of 24 and q.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 - 1 - 3)*(-666*m + 12050 - 12050)*(-2 - 1 + 1) as i + x*m and give i.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -31 - 16160562799\nAnswer: -16160562830","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g - 116 = -31. Let b = g - -13. Let j(d) = -d**2 + d + 1. Let w(z) = z**2 - 5*z + 2. Let p(r) = -2*j(r) - w(r). Give p(b).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 447 + -436. Let s = 0.362 - -2.638. What is the nearest to 1 in s, k, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 11, m: 9}. Give prob of picking 1 m and 2 s.\nAnswer: 33\/76","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*w - 5*w - w)*(2*w + 29*w + 5*w + 2).\nAnswer: -36*w**2 - 2*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -179*r = -178*r - 2. Let t = -38 + 38. Solve r = -c - t for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 4) to base 10.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 12 = 2*q. Suppose 2*s = q*s. Solve s = 4*l - 0*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(3) + -2)*-6)**2 + 2*sqrt(108) + ((sqrt(27)*5)\/sqrt(9) - (sqrt(3) + sqrt(15)\/sqrt(5) + 0 - sqrt(3))).\nAnswer: -128*sqrt(3) + 252","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -7672 (base 15) to base 13.\nAnswer: -b555","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 92 minutes after 4:52 AM?\nAnswer: 6:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-2 + 10)\/(888\/349983) is divided by 41.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 5 * -4895.\nAnswer: -24475","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(4*sqrt(17) + sqrt(17))*4.\nAnswer: -60*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 7515355 - 3?\nAnswer: 7515352","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -5\/56 + 577\/112. What is the common denominator of l and ((-2)\/(-3))\/((-4)\/219)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1474 is divided by 82.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vktz when four letters picked without replacement from vkvsxztvvktktktkv.\nAnswer: 5\/2856","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 31, -2023, 1 in descending order.\nAnswer: 31, 1, -2023","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((m**0)**(-2\/75))**(-1\/9))**(-1\/18) assuming m is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 358599 to the nearest integer?\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1\/(-4))\/((-530)\/8480).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -128*i + 32. Let f be y(-11). Suppose -20*h + f = -15*h. Does 8 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -151 - -1. Let m = f + 176.9. Let c = m + -27. Sort -6, -2\/3, 1\/2, c.\nAnswer: -6, -2\/3, c, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) be the second derivative of -m**5\/20 - m**4\/3 - 2*m**3\/3 - 3*m**2 + 5*m. Let i be c(-4). Solve 0 = -4*l - 2*d + 18 - 2, 3*l - i = -d for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 37455, 37458, 37473, 37506, 37563, 37650, 37773?\nAnswer: 37938","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*d*d\/(d*d**29))\/d**9 assuming d is positive.\nAnswer: d**(-36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-724)\/18100)\/(6\/(-25)).\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -19*b**2*f**2 + 17080*b**2*l - b*f**2 + 4*f**2*l + 35*f*l - 42*f wrt b.\nAnswer: -38*f**2 + 34160*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0 (b) -1\/59 (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*c - 113 = 2812. Let d be ((-90)\/c)\/(-1 - (-2)\/10). What is the nearest to 2 in d, -5, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v\/v**(-4\/7)*v*v*v**0*v\/v**(-1)*(v**3\/v)\/v*(v**(1\/2))**17*(v**(-1))**(-14) assuming v is positive.\nAnswer: v**(407\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**(4\/5)*n*n**20*n**11\/n*n**(11\/2) assuming n is positive.\nAnswer: n**(373\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kh when two letters picked without replacement from whkxavx.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 29136 times 1\nAnswer: 29136","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 28353817 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*w**4 + 84*w**3 + 666*w**2 + 1860*w + 1275.\nAnswer: 3*(w + 1)*(w + 5)**2*(w + 17)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 35246 - 580?\nAnswer: 34556","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f - 12 = -5*f. Factor q - 24*q**2 - 4*q**f + 3*q**4 + 3*q**3 + 21*q**2.\nAnswer: -q*(q - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -5\/7 - -3\/7. Let b = 11.2 - 9.28. Let p = b - -0.08. Is r at most as big as p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -265907, -531806, -797691, -1063556, -1329395, -1595202, -1860971, -2126696?\nAnswer: -2392371","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 130890115.\nAnswer: 5, 157, 166739","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -46599997*z**2 - 15*z + 18. Let h be y(2). What is h rounded to the nearest 1000000?\nAnswer: -186000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 663680 and 9920?\nAnswer: 320","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -62\/55 and 19\/640.\nAnswer: 7040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 19.5 + -694311828\nAnswer: -694311808.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*j = 8 - 4 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (12 - (-140)\/(-10))*(-1 + 448). Let y = 156 - m. Does 50 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:01 AM and 12:33 PM?\nAnswer: 92","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 202 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.02426 - 0.1.\nAnswer: -0.07574","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (0 - 28)*-4 + 5 + -4. What is the third derivative of 14*x**2 + d*x**5 + 103*x**5 - 198*x**5 wrt x?\nAnswer: 1080*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:15 PM and 9:58 AM?\nAnswer: 703","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-23))**40*(y*y**(-4\/21)\/y*y)**(-1\/59) assuming y is positive.\nAnswer: y**(-1139897\/1239)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -20, -8, 3?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) be the third derivative of -t**5\/15 - 17*t**2. Let w(h) = h**2. Calculate w(x(s)).\nAnswer: 16*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.05 in 0.4, -2\/17, 6, -1, 0.05?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3515 + 17572\/5. Sort n, -2, -0.4 in decreasing order.\nAnswer: -0.4, n, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 11\/3 and 151\/2428278.\nAnswer: 2428278","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 890727.1 litres in millilitres?\nAnswer: 890727100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = 8*r**2 + 2*r - 2. Let i be l(1). Find the first derivative of 3 - 3 - i*v**4 + 1 wrt v.\nAnswer: -32*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/4 in -0.07, 0.0112, 2900?\nAnswer: 0.0112","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-3)\/9)\/(2\/3). Is -1 equal to g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-24)\/30*(-70)\/4. Let v = y + -7. Calculate the greatest common divisor of 28 and v.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -164*i**2*l**2*z - 8*i**2*l*z**3 + 82*i*l + 5*i*z**3 + i - l**2*z**3 + 2*l**2*z**2 wrt i.\nAnswer: -328*l**2*z - 16*l*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 4*(-4 + (-15)\/(-10)). Let g be 125069181\/4 + i\/40. Suppose 0 = 3*y + 2*p + 28499990, 3*y - 2767275 + g = 4*p. What is y rounded to the nearest 1000000?\nAnswer: -10000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y and 1 f when two letters picked without replacement from fylrl.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + 4 + 1 = 0. Let k be -31*4\/28 + 5. What is the nearest to -2\/5 in w, -1, k?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -20 + 431696?\nAnswer: 431676","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 162 + (-174 - -46) - -115.\nAnswer: 149","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -5, -4, 2, 9 in increasing order.\nAnswer: -5, -4, 1, 2, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + -1 - (-8 + 3).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -10.89 rounded to 0 dps?\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8458923?\nAnswer: 3, 11, 29, 8839","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*a**2 + 81*a + 78.\nAnswer: 3*(a + 1)*(a + 26)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 28896 and 9030.\nAnswer: 144480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) be the third derivative of z**5\/60 - 8*z**2. Let t(h) = -12*h**2. What is t(v(c))?\nAnswer: -12*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 679 minutes after 2:49 AM?\nAnswer: 2:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 135796 is divided by 11301.\nAnswer: 184","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = 15*j. Determine c(-1).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 164 + 47*u**4 - 164 + (0*u**4 - 4*u**4 - u**4)*(-2 + 5 - 2) - u**2 - 2*u**4 + u**2 + u**4 + 0*u**4 - 2*u**4 + (2*u**3 + 3*u**2 - 3*u**2)*(-2 + 2 + u).\nAnswer: 41*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -600.09 - -611. Let z = v + -11. Let k = -1.09 - z. Which is smaller: 0.1 or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2870 - 2868. Suppose -4*q + 4*t - 19 = 1, 0 = -q - 2*t + 7. Let u be 20\/(7 - v) + 1 + q. Are 2 and u equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1.04 (b) 3 (c) -3 (d) 7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6.328043 years to decades.\nAnswer: 0.6328043","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 88, 309, 770, 1591, 2892?\n\"Answer: 20*v**3 + 81*v - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -34*p + 207. Determine h(6).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 3\/35 (b) 2\/69 (c) -3 (d) -4 (e) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 72*l**3 + 78*l**2 - 203*l**4 - 72*l - 66*l - 512 + 207*l**4 - 150*l + 34*l**2.\nAnswer: 4*(l - 2)*(l + 2)**2*(l + 16)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dhc when three letters picked without replacement from {y: 1, h: 2, c: 1, d: 1}?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand -i + i + i**5 + (i**2 + 2*i**2 - i**2)*(0*i**3 + 2*i**3 - i**3) + 44*i**2 - 44*i**2 - 24*i**5.\nAnswer: -21*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -0.1, 0.4, 0.3, -8, 9\/38, -0.13?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*h**3\/4 + 78*h**2 + 588*h + 1152 = 0 for h.\nAnswer: -96, -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6 - (-2 + 0)) + (16 - 8)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -q = 2*c - 5, c + 0*c - 5*q - 19 = 0 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 3 times -35\nAnswer: -105","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 24\/(-42) + (-7215)\/(-10360).\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 180\/(-810)*(2 - 11484)*45\/10?\nAnswer: 2, 5741","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 24566882 is divided by 985?\nAnswer: 982","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 95735?\nAnswer: 5, 41, 467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3163421?\nAnswer: 101, 31321","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 30000 rounded to the nearest one thousand?\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36*f + 956 = -9736. Calculate the highest common factor of 165 and f.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -7 + 11. Suppose 2*x + 2 = o + b*x, -2*x = 4. Suppose -3*n = -3*f - 6, -2*n + o*n = 20. Let c(g) = g**2 - 4*g + 1. Calculate c(f).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = 225235 + 174*f - 225235. Let v(y) = 11*y. Determine v(w(r)).\nAnswer: 1914*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -y**3 - y**2 - y + 2. Let b be l(0). Let f = b - -3. Suppose f*c + 4 = -3*d - 1, -3*d = 2*c + 2. Which is smaller: -2\/11 or d?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 516\/(-32) + (-2)\/(-16). Is -17 <= n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*z**2 + 7*z**3 - 4*z**2 + 0*z**3 + z**3 + 1 - 1 + (z - 2*z + 3*z)*(-z**2 + 5*z**2 - 3*z**2) to f*z + o*z**3 + u*z**2 + g and give o.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*q - 82*c - 36*c + 113*c - 128 = 0, 0 = -2*q - 4*c + 100 for q.\nAnswer: 46","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 4038223 to the nearest integer?\nAnswer: 159","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14784 is divided by 147.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 992 a multiple of 32?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3 - -2.5. Let v = -1.32 - -1.12. Sort 3, v, p.\nAnswer: p, v, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 8 - 6. Let w = -683254.3 + 683254. What is the biggest value in -0.5, w, 3, q?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 46 + -44 + 1 + 5?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 560 minutes after 2:34 PM?\nAnswer: 11:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = 2*b**2 + 13*b + 2. Let q = 1 + -10. Is f(q) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -4 + 6*v**3 + 1 - 42*v**2 - v + 44*v**2 as u*v**3 + w*v + j*v**2 + b and give j.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -59\/50 and 125\/48?\nAnswer: 1200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g - 11 = 4*f - 47, -3*f = -g - 27. Suppose 8*y - f*y = -5. Solve y*t = 2*l - 6 + 21, -25 = -5*t for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = 2*o - 4. Let c be a(3). Find n, given that 13*n**c - 49*n**2 - 14*n - 2*n**5 + 10*n**3 + 6*n**3 + 24*n**2 + 12 = 0.\nAnswer: -3, -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = a - j + 4, j = 2*a - 4. Factor -1\/4*z**a + 1\/4 + 0*z.\nAnswer: -(z - 1)*(z + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.2 and 13.6.\nAnswer: -2.72","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -27*w**2. Let g be ((-8370)\/(-12))\/15 + 5\/2. Let d(c) = -g - 114*c + 49 + 116*c. Give d(s(h)).\nAnswer: -54*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*h - 2 - 18 = 0 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 + -2 - (-6 + 1 + -13 - -1).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3057764 by -694.\nAnswer: -4406","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2101269078?\nAnswer: 2, 3, 419, 278609","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 53\/8778 and 29\/66?\nAnswer: 8778","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 5891 (base 12) in base 5?\nAnswer: 304101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (60\/18)\/5*24\/(-32)\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find k, given that -5*k**3 + 135*k**2 - 895*k + 765 = 0.\nAnswer: 1, 9, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.07 - 6872.\nAnswer: -6871.93","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/4 of a tonne in kilograms?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -15669294 by -3.\nAnswer: 5223098","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6*n + 5*n - 4*n + 0*n - 4 to r + l*n and give l.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -5 + 1496b78?\nAnswer: 1496b73","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -s**2 - 26*s + 164. Calculate the remainder when 359 is divided by x(-31).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 15 - 14. Solve 0 = x - 5 + n for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + 1 + sqrt(208) + -3 + -6*(sqrt(208) + 3 + 5) + -3)**2.\nAnswer: 2200*sqrt(13) + 8225","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (48\/(-60))\/(180\/(-200))?\nAnswer: 8\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11855287?\nAnswer: 29, 408803","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dsisssisdiis. Give prob of sequence dd.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -3*d**2 - 50*d + 50. Let j(y) = -5*y**2 - 75*y + 75. Let t(b) = 5*j(b) - 8*n(b). Give t(24).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.69031 to one dp.\nAnswer: 0.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 15 + -4. Let v = r - 7. Let j be -1 - -1 - v\/(-1). Solve -u + 0*u + 18 = j*b, 35 = 5*b - 5*u for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -b**3 + 31*b**2 + 33*b - 22. Let n be r(32). What is the tens digit of 754 - -1 - (-6 - (n - 13))?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(102)*-5 - -4*(sqrt(102) + (sqrt(102)*1 - sqrt(102) - sqrt(102))))\/((1*-1*sqrt(294) - sqrt(294))*6).\nAnswer: 5*sqrt(17)\/28","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.4*988116.27.\nAnswer: 395246.508","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = c + 14. Let b be q(-8). Let o(x) = -x + 8. Let y be o(b). Let z(f) = 2*f**3 - 4*f + 3. Is z(y) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 3, -16, -61, -144, -277, -472, -741?\n\"Answer: -2*j**3 - j**2 - 2*j + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 3157017*h**2 - h - 609792 wrt h.\nAnswer: 6314034*h - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = -4*m, 2*x + 0*x - 29 = 3*m. What is the lowest common multiple of x and ((-40)\/(-16))\/(2\/8)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -2*a. Let t(d) = -9*d. What is c(t(m))?\nAnswer: 18*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -235 + 4*q + 189 - 41*q wrt q?\nAnswer: -37","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -104 = 3*j - 4*g - 136, -2*j - 2 = 2*g. Calculate the least common multiple of 6878 and j.\nAnswer: 13756","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 124 + -177. What is the tens digit of (n\/1)\/((-37)\/296)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.01 times -6633\nAnswer: -66.33","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*h**2 + 3*h**2 + 3*h**2)*(13949 + 13183 - 22187).\nAnswer: 9890*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 43611129, 87222268, 130833407, 174444546, 218055685, 261666824?\nAnswer: 305277963","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 37, 9.3, 21 in decreasing order.\nAnswer: 37, 21, 9.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven quarters of a meter in millimeters?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out 29.804 - 251997.4.\nAnswer: -251967.596","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 3025 and 333?\nAnswer: 1007325","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in 1\/2, -1\/2, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 52 - 32. Let c be ((-28)\/(-5))\/((-1 + -2)\/(-75)). What is the greatest common factor of c and j?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 16 - 11. Suppose -3*c + 7*d - 3*d + 52 = 0, -4*c + s*d = -68. Is c a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5)\/((-16)\/((-32)\/(-5))).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 6, v: 1, y: 1, z: 3, e: 2}. What is prob of sequence tt?\nAnswer: 5\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -m**3 - m - 4*m - 2*m**2 + m. Let c be 3 + -3 - 1 - 2. Let j(s) = s. Let b(v) = c*j(v) - i(v). Suppose b(k) = 0. What is k?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -4, -1\/3, 1, 0.06?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is j in -5*j**3 + 88350*j**2 + 441855*j + 353500 = 0?\nAnswer: -4, -1, 17675","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y, 1 d, and 2 f when four letters picked without replacement from ynfdffyff?\nAnswer: 10\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of x**3*y**2 + 296*x**3 - 113*x*y**4 + x*y**2 + 3*x*y wrt y?\nAnswer: 2*x**3 - 1356*x*y**2 + 2*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 9393160 divided by -8\nAnswer: -1174145","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(19) + 2)*-5 - ((sqrt(19) - sqrt(19)*-1) + 3).\nAnswer: -7*sqrt(19) - 13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u = 16, 1 = -5*g - 2*u - 1. Let o = g - 2. Let m(d) = -5*d + 4. Does 12 divide m(o)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 240, -18, -5, 0.218, 3.\nAnswer: -18, -5, 0.218, 3, 240","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 4, u: 3, j: 2, w: 1}. What is prob of picking 3 u and 1 j?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -27*s**2 + 839*s - 68. What is v(31)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 20*o - 73 - 47 for o.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let 6*h**4\/5 - 46*h**3\/5 - 106*h**2\/5 + 294*h\/5 + 108\/5 = 0. What is h?\nAnswer: -3, -1\/3, 2, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 161\/78 and 75\/438722.\nAnswer: 17110158","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0042609 rounded to three decimal places?\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-40*q + 67*q + 72*q)*(q + 3*q - 3*q)*(-3*q - q + 3*q) + (4 - 4 - 2)*(0 + 0 + q**3) to g*q + y + w*q**2 + m*q**3 and give m.\nAnswer: -101","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4900?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 + 4*d**3 + 4*d**2 - 5*d**2 + 2*d**2 - 3*d**3 in the form s*d + r + b*d**3 + f*d**2 and give f.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 59 divide 1624177?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 + 13*h**4 - 2373*h**2 + h**3 + 2375*h**2 - 1 - 17*h as w*h**3 + m*h**2 + n*h + s*h**4 + d and give m.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 48 and 260448.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4073?\nAnswer: 4073","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 104471?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 316538053?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 171 minutes before 3:33 AM?\nAnswer: 12:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -42*x + 1195 = -2039. Calculate the greatest common divisor of x and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 6486 and 19234233.\nAnswer: 3243","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 22345 to the power of 1\/2, to the nearest integer?\nAnswer: 149","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-496)\/(-6) + (-42)\/(-18). Let g be 0\/(2 + 0) - (-102)\/k. Factor 2\/5*a**2 + g*a + 2\/5*a**4 - 4\/5 - 6\/5*a**3.\nAnswer: 2*(a - 2)*(a - 1)**2*(a + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v\/(v*v*v**(10\/11)*v)*v**(-1\/37)*v**30*v*v*(v**36\/v)\/v assuming v is positive.\nAnswer: v**(25667\/407)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1\/((-23)\/8 - -3). Let q(v) = v**3 - 7*v**2 - 9*v + 10. Let d be q(k). Solve -d = 2*z + 2 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:54 AM and 8:03 PM?\nAnswer: 609","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*v - 78 = -20*v. What are the prime factors of v?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is six fifths of a litre in millilitres?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = a**3 + 107*a**2 - 1177*a - 974. What is s(-117)?\nAnswer: -155","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 12\/(-30)*(-1)\/2\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ekz when three letters picked without replacement from {x: 2, k: 2, f: 1, e: 2, z: 1}?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 m when three letters picked without replacement from {m: 3, e: 1, a: 1, d: 7}?\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*u + u - 2*u)*(-u + 5*u - 2*u).\nAnswer: 2*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 27*d + 29*d - 78*d - 19*d + 23*d + 20*d.\nAnswer: 2*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -2*d - 84585*d**2 + 84583*d**2 + 2*d. Let i(s) = -59*s**2. Give i(f(m)).\nAnswer: -236*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w = -w + 6. Solve -w*z + j = 8, 6*z - z = -3*j - 18 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 56, 115, 198, 317, 484, 711, 1010?\nAnswer: 1393","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -28 - -28. Suppose 4*n - 4*b - 172 = f, 4*b - 5 = 3*b. What are the prime factors of n?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 304 divide 2434351?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -20, -39, -58, -77?\n\"Answer: -19*v - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 15.1 - 14. Let w = 8.9 + s. Let f = w - 9.7. Sort 2\/5, 9, f in decreasing order.\nAnswer: 9, 2\/5, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 1\/8, 2, -0.3, 5?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = 7*v - v - 1 + 3*v. Calculate d(1).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 10 and 220?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/(-24)*(-2)\/(-3)?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -1555*12\/(-21) - (-30)\/70 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 599, 823, 1473, 2759, 4891, 8079, 12533, 18463?\nAnswer: 26079","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 - 6 + 2)*(-2*y - 2*y + 0*y) - y + 3*y - 4*y - 6*y + 10*y + 9*y to the form t + o*y and give o.\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 47 + -38. Let d be 24\/g*45\/(-20). Let c(y) be the second derivative of -y**4\/12 - y**3 - 3*y**2 - 2*y + 9. Determine c(d).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = x**3 - 3*x - 2*x**3 - 3 - 1 + 5*x**2. Let y = 752 - 749. Let d be f(y). Which is smaller: d or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 95, 85, 75?\n\"Answer: -10*b + 105","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -123*i - 3589 - 2006 = 222*i + 28*i for i.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -x**3 - 5*x**2 + 2*x - 6. Let g = 412 + -392. What is the smallest common multiple of g and u(-6)?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3359 rounded to the nearest one hundred?\nAnswer: -3400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 3*f**2 + 2)*(-86 + 930 + 2950).\nAnswer: -11382*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 333 or -68447?\nAnswer: -68447","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e and 1 o when two letters picked without replacement from eeo.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 6676 and 101338?\nAnswer: 338266244","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 3, e: 2, y: 4, g: 7, o: 1}. What is prob of picking 2 g?\nAnswer: 21\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in -3, -5, 4, -0.05?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s + 0*v - 9 = -4*v, s + 2*v - 3 = 0. Suppose c - 5*a = -s*c + 12, -5*c = -4*a - 24. What is the smallest common multiple of 7 and c?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -174 divided by -58.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1194715?\nAnswer: 5, 238943","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16853*q - 74875*q - 68889*q + 10 + 14571*q + 3*q**2.\nAnswer: 3*q**2 - 112340*q + 10","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (-5*(-24)\/30)\/((-3)\/3)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 10, 24, 48, 82, 126?\n\"Answer: 5*c**2 - c + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1218362 + -2772638. Round y to the nearest one hundred thousand.\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37 - 119 = -6*b. Suppose -6*h = -b*h + 2400. Does 10 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (8\/6)\/((-2212)\/(-84) - -24 - 7)\nAnswer: 2\/65","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express -63*c**3 + 35*c**3 + 3 + 71*c**3 - 5 in the form p*c**3 + b*c + n + u*c**2 and give p.\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (6\/(-10))\/(-3) + 5896\/11495. Let z = p - 9\/11. Which is the smallest value? (a) 2 (b) z (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -95, -211, -313, -395, -451, -475, -461?\nAnswer: -403","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 581197 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = x**3 - 5*x**2 - 8*x + 4. Let p(w) = 7*w**3 - 2*w**2 + 1. Let u = 253 + -252. Let s be p(u). Give z(s).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11.218362 months to years.\nAnswer: 0.9348635","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*a - a + 2*b + 12, 4*a + b - 18 = 0. Suppose 0 = -3*u - u. Solve -a*o + 23 - 3 = u, -2*r + 17 = 3*o for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -669 (b) -13 (c) -3 (d) 48\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 140 - 3079\/22. Let y = -6\/11 + z. What is the closest to 0 in y, 0.1, -4?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2916565 to the nearest integer?\nAnswer: 1708","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1 times 256905?\nAnswer: 25690.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m, 1 i, and 1 l when three letters picked without replacement from {x: 3, i: 1, l: 1, m: 1, q: 6}.\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -52 - -57. Let g = 0 + a. Solve g = -4*x + 13 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.4, -135, 1, -1, 18\/281?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -393.02 rounded to the nearest ten?\nAnswer: -390","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = 4*m - 1. Let q(i) = 7*i - 1. Give -11*g(u) + 6*q(u).\nAnswer: -2*u + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 39029 to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fxbpj. What is prob of sequence fb?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/9 in 0, -54, -20, 1\/10?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -15, -5, -4, 12, 0, -1\/4?\nAnswer: -15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -421 (base 8) to base 14\nAnswer: -157","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 123 - -280. Suppose z = 3*f - 143. Suppose -4*h + f = 46. List the prime factors of h.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 0 + (-2)\/((-48)\/(-308)) and (-4)\/3 - 3157\/(-231).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-5)\/2*(2 - 4). Suppose -g + 12 = -p*c, g = -2*c + 4*c + 6. Suppose 9 - 2 = g*w + 3*n, -2*w + 9 = n. List the prime factors of w.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 p when two letters picked without replacement from foopffpofppoffldf?\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 440918783 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 6*(9\/((-225)\/(-5)))\/(16\/(-5))?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1 and 57852?\nAnswer: -57852","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u = -3*g - 280 + 382, u + 178 = 5*g. Suppose -16*o = -2162 - 1678. What is the least common multiple of g and o?\nAnswer: 720","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 79\/29946 and -83\/5208?\nAnswer: 119784","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = 7*x + 35131 - 35132 - 9*x. Let w(o) = 3*o + 3. What is 5*d(v) + 3*w(v)?\nAnswer: -v + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express (c**2 - 7*c**2 + 2*c**2)*(-3 - 1 - 2 + (1 - 3 + 4)*(-6 - 2 + 1))*(4*c - 2*c - c) as b + u*c**2 + n*c + z*c**3 and give z.\nAnswer: 80","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.5555117 days in weeks?\nAnswer: 0.3650731","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -4*f**3 - f**2 - f - 1. Let i be d(-1). Let b(w) = -9*w**2 + 2 - 3*w**3 + 7*w + 2*w**i + 3*w**2. Is b(-7) a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine b so that 4*b**4 - 1516*b**3 - 207972*b**2 - 2326868*b - 6627040 = 0.\nAnswer: -97, -7, -5, 488","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u + 2*m = -m + 690, -5*m = u - 164. Suppose 8*p**3 - 2 - 2*p**4 + 34 - 32*p + u*p**2 - 174*p**2 = 0. Calculate p.\nAnswer: -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**(1\/9)*m**(-5))\/(m**(-1)*m*m\/m**(-2\/19)))\/((m*m**3)\/m**(1\/7))**(2\/55) assuming m is positive.\nAnswer: m**(-403859\/65835)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (sqrt(7) + -2)**2 + 0 - (-1*(sqrt(175))**2 + sqrt(7))*-3.\nAnswer: -516 - sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 10152 or 10462?\nAnswer: 10152","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*u + 5*u + u)*(u**3 - 4*u**3 + 2*u**3) - 4*u**4 + 8*u - 8*u + 4*u**4 - u**4 + 0*u**4.\nAnswer: -3*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 79 and 8.\nAnswer: 632","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*n + 9*n**3 - 5*n**3 + 3*n**3 in the form y*n**2 + b + q*n + p*n**3 and give y.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = p**2 - 10*p + 7. Let n be c(10). Let m(u) = 24*u - 6. Let a be m(n). Suppose -a = -5*o + 428. Is o a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -732*d - 175. What is the least common multiple of 2 and q(-4)?\nAnswer: 5506","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g = -4*g - 18. Suppose -2*w - 3*a - g = 2*a, 2*w + 14 = -4*a. Is 2 at most as big as w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2197 and 9529.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.3 in -14, 3, 2\/13, -8\/5?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 17482647.64296 and 0.5?\nAnswer: 17482647.14296","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1\/4, -5, 2, -1.1, 1\/6, -4137?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -6*a**4 - 3*a**4 + 17*a**4 + 1 - a**4 - 4*a**4 + 6*a**4 - 3*a**2 - 2*a**4 + 3*a**2 + (a - 4*a + 5*a)*(-3*a**2 + 3*a**2 - a**3) + a**4 + 2*a**4 + a**4.\nAnswer: 9*a**4 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -6 - -8. Let a be (-2)\/(-6) - 1\/3. Solve a*m = -4*m + l*k + 10, 2*m = 3*k - 5 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -9828, -9834, -9852, -9888, -9948, -10038, -10164?\nAnswer: -10332","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 7 (b) 2 (c) 0.85\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in seventy-four fifths of a milligram?\nAnswer: 14800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:22 PM and 3:21 AM?\nAnswer: 539","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j + 81 = -3*d - 9, -3*j + 62 = -5*d. Let w be (-3)\/6*9\/((-18)\/20). Solve 0 = -23*x + j*x + w for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, 2, -5, 1 in decreasing order.\nAnswer: 7, 2, 1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -498 - -100?\nAnswer: -398","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 1\/3346, -6, -5, 1.6, 0.5, 0 in increasing order.\nAnswer: -6, -5, 0, 1\/3346, 0.5, 1.6, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2314.\nAnswer: 2, 13, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 + (1 - -5) - (45 - (-23 + 8 + 9)).\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 - 3 - 2*w + (-4*w + 0*w + 3*w)*(2 - 2 + 2))*(-41930*w - 35064*w - 30195*w - 19518*w - 53802*w) to the form k + y*w + t*w**2 and give t.\nAnswer: 722036","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -r**2 + 6*r - 3. Let h be j(5). Suppose -3 = -2*i - h*y + 3, 2*y + 12 = 4*i. Is i composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -129*n**3*w + 2*n**3 + 3*n**2*w + 67*n**2 - 6*n + 1367*w wrt n.\nAnswer: -774*n*w + 12*n + 6*w + 134","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -u, 12*o - 7*o = 3*u. Solve o = w + 11 - 15 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u**4 + 148*u**3 - 284*u**2 + 140*u = 0. What is u?\nAnswer: 0, 1, 35","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((k*k**5)\/k)\/k)\/(k\/(k**(-3\/7)*k*k)*k))**27*(k\/(k*k**(-2\/9))*k*k*k**6*k)\/(k*k**0*k*k**0*k) assuming k is positive.\nAnswer: k**(6467\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -x**2 - 23*x + 1282. Let m be z(26). Solve -26 = -4*d - 3*a - 10, -2*d + m = -2*a for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3)\/36*-4)\/((-735)\/45 + 16).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n - 4 = r - 3, -n + 1 = 0. Factor -10\/9*u**2 + 8\/9*u + 4\/9*u**r - 2\/9.\nAnswer: 2*(u - 1)**2*(2*u - 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000037414 rounded to 7 dps?\nAnswer: 0.0000374","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1989955.\nAnswer: 5, 11, 97, 373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + -2*sqrt(80) + 1 + -1)**2 - (0 + sqrt(80) + -1 + sqrt(80) - (4 + (sqrt(80) - (sqrt(80) - (sqrt(80) + 2)))**2)).\nAnswer: -56*sqrt(5) + 425","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -65272 by 328.\nAnswer: -199","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 43\/149872 and -49\/82620?\nAnswer: 182094480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 66435 is divided by 1096.\nAnswer: 675","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + (-41 - (-35 + 29)).\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + -1*(1 + sqrt(5)) + -3)**2.\nAnswer: 18*sqrt(5) + 86","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence trt when three letters picked without replacement from rtrtgrrgg?\nAnswer: 1\/63","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0, -1, 30226?\nAnswer: 30226","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h + 58631 = 2*s, 17831 = -4*s - 5*h + 135168. Does 156 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of d**3*n**2 + d**3*n*v**2 - 58*d**3*v**3 + 2*d**2*n**2*v**3 + 2*d**2*v + 2*d*n**2*v**3 - 79*d*n**2*v**2 wrt d.\nAnswer: 6*n**2 + 6*n*v**2 - 348*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = 2*z**2 + 32*z - 22. Let n be k(-18). Suppose 16*m + 2 = n. Solve -m*i - 5*o = -2*o, -10 = -i + o for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 56077 is divided by 4671.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1877 - -28171\/15. Let j = g + -7\/5. Is 0 smaller than j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = 11*b - 10. Let d(a) = -a**2 + a + 1. Let l(o) = -3*d(o) - s(o). Let p be l(9). Round p to the nearest ten.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 6*b + 153 - 80 - 79 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express (18*s - 14*s + 7*s)*(5 - 3 + 4) + ((4 - 4 + 1)*(1 - 1 + 1) + 2 - 2 - 1 + 3 - 2 + 0 - 3 + 3 + 5)*(0*s + s - 3*s) in the form f*s + c and give c.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) be the first derivative of 62*v**3\/3 + 276. Let j(u) = -3*u**2. Calculate t(j(c)).\nAnswer: 558*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -2*k**2 + 11*k - 5. Let w be n(4). Suppose 3*d - 5 = w. Let -4*a**4 + 15 - 4*a + d*a**2 + 4*a**3 - 15 = 0. What is a?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*n + 2*n + 1077*n**3 - 6*n.\nAnswer: 1077*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*w - 418932 = -19*w. Find the second derivative of -w*z**3 + 32*z - 2 + 1 + 1 + 15619*z**3 wrt z.\nAnswer: 618*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d - 12 = d. Let p(u) = 2*u**2 - 11*u + 11. Let q(a) = -a**2 + 5*a - 5. Let t(i) = d*p(i) - 7*q(i). Let o be t(1). Which is smaller: o or -4\/11?\nAnswer: -4\/11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21478 to the power of 1\/10, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s + 6 = -2. Let b be (1\/(-2))\/(s\/(-4)). Calculate the remainder when 26 is divided by 10 + (b - (-1 - -1)).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -5, 2\/9, 2\/15, -1\/5?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*p**3\/4 - 159*p**2 - 1987*p\/4 - 93.\nAnswer: -(p + 3)*(p + 124)*(5*p + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is w in w**3\/4 + 156*w**2 - 3159*w\/4 - 4403\/2 = 0?\nAnswer: -629, -2, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 4252405 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - 475 = 4*p - 77, 3*p + 266 = 2*u. Calculate the remainder when u is divided by 63.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = 5*d - 7. Suppose -8 = 2*i + 3*c, -i + 10 = 3*c - 5*c. Let t be q(i). Suppose 2*y + t*h - 57 = 0, 5*h - 16 = -y + 23. What are the prime factors of y?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = 2*v + 62. Determine m(-32).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(110)*3)\/sqrt(10)*1.\nAnswer: 3*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.1 and -0.067?\nAnswer: 0.0067","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2 (base 11) to base 6.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 6\/(1260\/(-205)) + -2 and -31\/5?\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**6)**50*q**(2\/7)*q\/q**4 assuming q is positive.\nAnswer: q**(2081\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -5, -1\/3, 7, -4\/9, 3\/5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = h**3 - 16*h**2 + 19*h - 33. Let w be c(13). Let u = -285 - w. What is the greatest common divisor of 72 and u?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 89974486?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c and 1 s when two letters picked without replacement from {r: 6, c: 1, x: 3, s: 4, g: 3, m: 1}?\nAnswer: 4\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18*t**2 + 11*t**2 + 25*t**2 - 68*t**2 + 23*t**2.\nAnswer: 9*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 963486.8 litres to millilitres.\nAnswer: 963486800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.006108705 rounded to three dps?\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -c**2 - 7*c + 10. Let g be w(-8). Suppose -2*t = g*t - 12. Suppose -6*o + i + 113 = -o, t*i - 75 = -3*o. What is the tens digit of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-1)\/(-2)*16\/(-76). What is the closest to 1\/2 in 0, -2\/9, t?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n = -3*t + 114560 - 34766, -5*t + n = -133018. Does 17 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0 (b) -1 (c) 3 (d) -35\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (38 + 16*y + 21 - 61)*(4*y**4 - 3*y**4 + y**4).\nAnswer: 32*y**5 - 4*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 5, l: 1, g: 2, k: 1, i: 4, x: 2}. What is prob of sequence gi?\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -3*t - 1. Let q be x(-5). Let r = q - -5. List the prime factors of r.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -214, -425, -626, -811, -974, -1109, -1210?\n\"Answer: l**3 - l**2 - 215*l + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by 71659\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s + 4*d = 3*d + 10, 8 = 4*s - d. Let z be 38\/(-154) + 16\/(-88). Put s, 22, z, -0.3 in ascending order.\nAnswer: z, -0.3, s, 22","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 2244 divide 39090480?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 2*o**3 + 5*o**3 + 1)*(3 + 0 - 2) - 4*o**3 + 0*o**3 + 6*o**3.\nAnswer: 5*o**3 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 154*t**2 - 564*t**2 + 236*t**2.\nAnswer: -174*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 + 5 + (0 + -1 - 3).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -6740, -6755, -6786, -6839, -6920, -7035, -7190, -7391?\nAnswer: -7644","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 723432 - 97666102\/135. Let t = 704\/27 + p. Let h = 24\/5 - t. What is the biggest value in 5\/2, h, 3\/2?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b - 304 = 4*b. Let y = b + 44. Suppose -7 - 5 = -y*q. Solve 8 = -q*t, 3 + 16 = -3*u - 4*t for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -307\/29320 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is j in 2*j**3 + 40*j**2 + 88*j - 1120 = 0?\nAnswer: -14, -10, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 462 rounded to the nearest one hundred?\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (81\/(-198))\/((-45)\/(-120)).\nAnswer: -12\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -243 (base 15) in base 3?\nAnswer: -201000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -27.4527 - -15.4527. Let t be ((2\/18)\/(-1))\/(-1). Which is the second biggest value? (a) t (b) l (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 10, x: 2, e: 6}. Give prob of sequence axx.\nAnswer: 5\/1224","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = p**3 + 7*p**2 + 6*p - 11. Let g be n(-6). Let f(h) = -h**2 - 15*h + 4. Calculate the remainder when f(g) is divided by 25.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 - 3 = -q. Suppose -4*m + m + q = 0. What is the smallest common multiple of m and 1?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 24 - 19. Suppose -w*s - 1660 = 5*y + 3340, 0 = -5*s + 3*y - 5000. Round s to the nearest 1000.\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1481 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -19, -4, 2, 777, -1, -3 in decreasing order.\nAnswer: 777, 2, -1, -3, -4, -19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z\/(z*z*z**(-2)\/z*z))**(-33\/5)*(z**8*z)\/(z*(z*z**7*z)\/z))**(-3) assuming z is positive.\nAnswer: z**(99\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (21\/(-343)*-7)\/((-27)\/54).\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/(-2)*-3*(-10)\/25.\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 167232.172 + -165763. Let z = 1473 - l. What is z rounded to one decimal place?\nAnswer: 3.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -t - 0*t - 5. Let w = 8 + t. Let u(z) = 3*z - 2. List the prime factors of u(w).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 61070.89 kilometers in meters?\nAnswer: 61070890","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-4)\/(-3)*5643\/57. Which is greater: y or 127?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g + 226 = 56. Suppose -6*z + g = -z. What is the tens digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*o - 2*y = -15, 0 = -o - 0*y - y for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 23307, 21848, 20389, 18930?\n\"Answer: -1459*f + 24766","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 158 = -17*k + 141 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 181*o + 845 + 846 - 2541 + 849 - 536*o to u*o + l and give u.\nAnswer: -355","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 108170792 a multiple of 156?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 3\/1 + 7 + -3 + 5. What are the prime factors of (-1120)\/(d\/(-3)) + 3?\nAnswer: 283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1524646?\nAnswer: 2, 29, 97, 271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1\/5 (b) 2314 (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = 342*l**2 + 183*l + 4. Let o be p(2). Which is smaller: o or 1737?\nAnswer: 1737","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5.427 times -0.5\nAnswer: -2.7135","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) be the third derivative of -s**7\/420 + s**5\/30 + s**3\/3 + 3*s**2. Let k(l) be the first derivative of z(l). Find the second derivative of k(u) wrt u.\nAnswer: -12*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -174122 divided by -1?\nAnswer: 174122","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.03772354 to 4 decimal places.\nAnswer: -0.0377","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 26742060 a multiple of 97?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -9*i*v + 185*i - 383992*v + 11910 wrt v.\nAnswer: -9*i - 383992","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) be the first derivative of -13*f**2\/2 + 136*f + 347. What is s(10)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -198*b - 91*b = -7763 + 2561 for b.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kkc when three letters picked without replacement from ckk?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a + 133 + 27 = 0. Let h be (-104)\/a + (-6)\/10. Let v(r) = 13*r**2 - 25*r**h + 4*r**2 + 10*r**2. Let o(l) = -6*l**2. Give o(v(x)).\nAnswer: -24*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = 9*u + 263. Let l(a) = 20*a + 527. Calculate 4*l(m) - 9*t(m).\nAnswer: -m - 259","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 - (4\/(-4) + 4)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = 732*f - 257. What are the prime factors of l(5)?\nAnswer: 41, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-4)\/18 - 0 - (1736\/126 - 19). Solve -17 = -2*d + 3*j - 23, 4*j - 15 = l*d for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 11720?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -o + 1. Let v(z) = -5. Let q(k) = -2*s(k) - v(k). What is the remainder when 18 is divided by q(0)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-24)\/36)\/(1\/3*36\/(-81))?\nAnswer: 9\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-40)\/(-19) + (-6)\/57. Suppose c*g + 2*g = 2*w - 12, 14 = 5*w - 2*g. Solve -2*q = -8, i + 3*q = -i + w for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 32543, 65087, 97631, 130175, 162719, 195263?\n\"Answer: 32544*h - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 8 - -7. Suppose 2*d - 5*d - u = 0. What are the prime factors of (1 - (-7)\/(-5))*d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 347211 or 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = 2*p**2 - 1. What is b(-3)?\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -s**3 + 44*s**2 + 72*s - 35. What is the hundreds digit of d(45)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1463847195 a multiple of 305?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 151 + -87. What are the prime factors of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -6826 or -941?\nAnswer: -941","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c**2\/2 + 1566257*c\/2 - 783129 = 0. Calculate c.\nAnswer: -1566258, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*q**2 + q**2 + 6*q**3 + 2*q**4 - 2*q**2 - 4 - 6*q = 0. Calculate q.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nixwlwp. Give prob of sequence xlip.\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = s**3 + 11*s**2 + s + 15. Let q be i(-11). Let x(a) be the third derivative of -a**6\/120 - a**5\/10 - a**4\/4 + 2*a**2. Let y be x(-5). Is q at most y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -2*x**2 + 22*x - 6. Suppose 5*s + 0*s = -2*p + 131, -s - 69 = -p. Let g = -14 + p. Calculate the remainder when g is divided by t(10).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-13 - 2)*3\/(-9). Suppose 3*l + 2 = v, -5*d - 2*l + 22 = 0. Solve -4*u - 5*i = -12, -2*i = -d - 4 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3211 to the nearest integer?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) be the third derivative of -2*x**2 + 0 + 1\/24*x**4 + 0*x**3 + 0*x. Let l(s) = s**3 - 30*s**2 + 55*s + 32. Let d be l(28). Calculate g(d).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 34325 to the nearest 100.\nAnswer: 34300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -8.01 + -1.89. Let m = z + 4.5. Let n = -5 - m. Sort 5, n, -1.\nAnswer: -1, n, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 116 divided by 29.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 656 + 156 - 63*b**2 + 623 + 4*b + 5*b wrt b?\nAnswer: -126*b + 9","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.091753099 times 0.2?\nAnswer: 0.0183506198","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -3*n - 4. Let l(v) = -v. Let u = -131 - -132. What is u*q(r) - 5*l(r)?\nAnswer: 2*r - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1165*s = -1125*s - 614400. Which is smaller: s or 15359?\nAnswer: 15359","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) be the second derivative of -2*t**6\/135 + 17*t**5\/90 + 236*t**4\/27 + 361*t**3\/9 + 70*t**2 + 127*t + 29. Determine w so that o(w) = 0.\nAnswer: -10, -3\/2, -1, 21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -217 - -220. Let w be -7 + (3 + -2)*1. Let o = w - -8. Solve o*c + 4 = n*c for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (3 - 125)*2\/6*(15 + -18) is divided by 114?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(sqrt(147)*3 - sqrt(147))**2 + sqrt(24)\/(sqrt(72)*-4 - sqrt(72)).\nAnswer: -sqrt(3)\/15 + 1176","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/5 in -3\/7, 0.05, 2\/19?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 69*o**3 + 344*o**3 - 33*o**3 + o**3 - 4*o**3 + 4*o**3 + (-o**3 - 2 + 2)*(4 - 5 + 3) + o**3 - 2 + 2 + 3*o**3 + 3*o**3 - 7*o**3 + o**2 - o**2 - o**3.\nAnswer: 378*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 74\/3 - 24. Let l = -0.186 - 0.214. Which is the nearest to 0.1? (a) -2 (b) l (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -81 - 84 + 215 - 50 + 343*f**2.\nAnswer: 343*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 74144 to the nearest integer?\nAnswer: 272","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1809497?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -99a17a + -4?\nAnswer: -99a182","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1\/2 + 35\/(-110). Is 1 smaller than j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -503*s - 2. Let h be i(-9). Let n = 51525 - h. What is n rounded to the nearest 10000?\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16 = 15*i - 23*i for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 3058 a factor of 763630141?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 75049 to the nearest integer?\nAnswer: 274","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*n - 20 = -5*i + 20, 2*i = -2*n - 8 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 1570?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) be the second derivative of h**7\/840 + h**4\/4 - 8*h. Let b(s) be the third derivative of i(s). Let a(u) = -2*u**2. Calculate b(a(t)).\nAnswer: 12*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4416498?\nAnswer: 2, 3, 17, 283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = 7865*r. Let g(z) = z. Determine c(g(h)).\nAnswer: 7865*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3091182.\nAnswer: 2, 3, 677, 761","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -23*w + 9*w + 14*w - 41*w**2. Let t(m) = 3*m**2. What is t(x(h))?\nAnswer: 5043*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = g**2 - 2*g + 2. Let d be h(2). Solve -d = -2*w - 10, 0 = q + w + 2 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -317 + 673. Let c = -239 + o. What is the remainder when c is divided by 15?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 628*k - 121*k + 8 - 8 in the form q*k + w and give q.\nAnswer: 507","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand -l + 2*l - 11*l + (-15 - 11*l + 15)*(0 + 29 - 6).\nAnswer: -263*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = 26*d**2 + d - 2. Let o be x(1). Suppose 7 = 4*n + c, -5*n - c = -3*c - o. Solve -j + 7 = -n*m, j = -0*j + 5*m + 15 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 70371 + 126723. Let g = 14186513\/72 - o. Let t = 423\/8 + g. What is the common denominator of t and -11?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 489 is divided by 18.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 192578671 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = b**2 - 166752*b. Let c(v) = 3*v**2. What is i(c(x))?\nAnswer: 9*x**4 - 500256*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 120.1548 hours in days?\nAnswer: 5.00645","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 510 divide 95187002?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -12\/5 or -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = c**2 - 2*c - 7. Let t be p(5). What are the prime factors of -7*t\/20*-5?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from boobbbbb. What is prob of sequence obbb?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -21*o - 14. Let i be z(-4). Let t = -62 + i. Solve 4*y = 8 + t for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -96948 divided by 6\nAnswer: -16158","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express 27583 - 91*h**2 - 55167 + 27589 as b*h**2 + j + z*h and give z.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*v**33*v)\/v**12 assuming v is positive.\nAnswer: v**23","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c + 28*c + 11*c = -56461100. Round c to the nearest one hundred thousand.\nAnswer: -1400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 731 = -2*w + 5*t + 721, -2*t = 3*w - 4 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 613\/18, 15, 5 in ascending order.\nAnswer: 5, 15, 613\/18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m = 25, 0 = -2*b + 3*m - 8*m - 9. What is the closest to -2 in 0.4, -1\/2, b?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*m**2 - 31863*m + 159240.\nAnswer: 3*(m - 10616)*(m - 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -26*g - 27. Suppose 0 = -x + 4*x - 141. Let d = x + -66. Is m(d) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 230723 is divided by 839.\nAnswer: 837","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1.2177 - 1.0823. Which is the closest to -0.2? (a) i (b) -2 (c) -2\/7 (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f - 12 = 3*f. Let a be -3*4\/6 + 5. Suppose -c = c + f, -a*j + 5*c = -60. Calculate the highest common factor of j and 60.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 130248299?\nAnswer: 157, 593, 1399","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4996659?\nAnswer: 3, 67, 24859","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(2\/11)*u*u**6*u)**(1\/6) assuming u is positive.\nAnswer: u**(15\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 5 (b) 13\/4 (c) 15 (d) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**1\/n*n*n\/n**(-1\/8)*(n\/(n\/n**5))\/(n*n\/((n*n\/(n*n*n**(2\/3)))\/n*n)*n*n))\/(n\/n**(-1)*n**5*n*(n**7\/n)\/n**(-1\/4)) assuming n is positive.\nAnswer: n**(-283\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000097222 to six decimal places.\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3976*x = -3971*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 60005859 to the power of 1\/2, to the nearest integer?\nAnswer: 7746","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:09 AM and 12:04 PM?\nAnswer: 715","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + sqrt(363)*2 + sqrt(363) + (sqrt(363) - (-1 + sqrt(363))*-2)**2 - ((0 + sqrt(363) + 0 + sqrt(363))**2 - (-3*sqrt(363) - sqrt(363))*-3)) + 3.\nAnswer: 33*sqrt(3) + 1826","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -16753, -68112, -153697, -273502, -427521?\nAnswer: -615748","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -725866 by 2.\nAnswer: -362933","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -2*v - 2. Let m be r(-2). Suppose m*i + 0 - 2 = 0. Do -2\/29 and i have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 27657 to the power of 1\/3, to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -v**3 + 4*v**2 + v - 7. Determine p(2).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*x**2 + 5334132*x + 2371080349452.\nAnswer: 3*(x + 889022)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = 7*s**2 - 5*s - 21. Let f(t) = 3*t**3 - t**2. Let c be f(-1). Let i be a(c). Suppose 8*q - 81 - i = 0. What is the lowest common multiple of 7 and q?\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 34 is divided by 17?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-19)\/((-1729)\/(-168)))\/((-189)\/702).\nAnswer: 48\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (72\/7)\/((-6)\/(-28)) is divided by 13\/(0 + (-1)\/(-1))?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*x - x + 264586*f - 264590*f = -1, 3*x + 10*f - 13 = 0 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = 8*c**2 - 25*c - 166. Calculate the remainder when k(-6) is divided by 13.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3.156 smaller than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1971 = -17*y - 56*y. Is -113\/4 at least as big as y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -175*x**6 - 11*x**2 + 108*x**6 - 3*x + 6*x wrt x?\nAnswer: -8040*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 22080699?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3 + 3438*i**2 + 0*i - 3419*i**2 - 9*i**3 - 6*i + 0*i to the form z + t*i**3 + g*i + s*i**2 and give g.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10866 is divided by 59?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3 - (-2 + -5)) + 25 + -17.\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve h**2\/5 - 4572*h\/5 + 5225796\/5 = 0.\nAnswer: 2286","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1024*a + 2869*a + 2241*a.\nAnswer: 4086*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -k**3 + 11*k**2 - 8*k - 17. Let w be z(10). Suppose -3*m - 212 = -2*p, -w = 3*m - 9. What is the tens digit of p?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -115 - -163. What is the units digit of f?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -x**3 + x**2 + 35*x - 27. Give z(6).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 32720.682 rounded to the nearest ten?\nAnswer: 32720","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qiee when four letters picked without replacement from eheqiiheeqeehshe.\nAnswer: 1\/260","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 smaller than 0.11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -19*p + 4. Let l(h) = 18*h - 3. Give -5*f(j) - 6*l(j).\nAnswer: -13*j - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -4*1 - (-62)\/1. Let r = y + -61. Let n be (r\/(-2))\/((21\/6)\/7). Solve -2*x - 2 = 0, -4*x = n*g + 2*g - 16 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 12 + -8. Suppose -3*f = 2*f - 4*o + 70, -h*f - 4*o - 56 = 0. Let r be 2\/(4\/f) - -2. Do -5 and r have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16*i - 18*i - 49*i - 83 - 16*i + 6.\nAnswer: -67*i - 77","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1669 - 1037. Let h = y + 3685. Is h a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s - 89*c + 92912 = -88*c, 4*s - 74347 = 5*c. Is s prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 26 and 1079?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = 25*w**3 + 15*w**2 + 57*w - 853. What is the thousands digit of a(13)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.3 - -0.1. What is the third biggest value in h, 0.8, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14498023 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 18 and 16.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Determine w, given that 772\/7*w**3 + 0 + 178\/7*w**4 + 998\/7*w**2 + 204\/7*w + 8\/7*w**5 = 0.\nAnswer: -17, -3, -2, -1\/4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 197454 is divided by 112.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 595 + 2573?\nAnswer: 2b38","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 47846 to the power of 1\/2, to the nearest integer?\nAnswer: 219","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -13 + -2. Let a = -9 - d. Let i(w) be the third derivative of w**6\/120 - w**5\/12 - 3*w**4\/8 + 7*w**3\/6 + 5*w**2. Determine i(a).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 16778?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 22 (base 13) in base 11?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 16998 to the power of 1\/4, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m - 5 - 8 = 0. Suppose m = -0*s + s. Calculate the highest common divisor of s and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3369 to the nearest integer?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -423029698*n**2 + 360285850 wrt n.\nAnswer: -846059396*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 173*y + 4*q = 170*y + 8, -4*q - 4 = 0. Sort y, -12, -23 in descending order.\nAnswer: y, -12, -23","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (5243 + -1)\/((-14)\/7). Let l = y + 3743. Is l a multiple of 66?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -155 (b) -1 (c) -1\/15 (d) 3\/2 (e) 0 (f) -4 (g) 4\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*z**3 - 2 + 2)*(-2*z**2 + 2*z**2 + z**2) + 16*z**5 - 7*z**5 + 3*z**5.\nAnswer: 14*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/16 - (-15)\/(-200)*15?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 4, o: 1, b: 9}. Give prob of picking 2 b.\nAnswer: 36\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 0 - 5135443552?\nAnswer: -5135443552","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -15*-3*21\/27. Suppose v = -4*j - 53. Let d be j + 2*((-84)\/(-8))\/(-7). Is -25 > d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -15 (base 12) in base 14?\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -11*v + 11 + 35*v + 13 - 23 as x*v + c and give x.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f + 5 = 5*y, 5*y - y = 4*f + 4. Suppose 0 = -81*x + 52*x + 58. Solve f = x*l - 5*l + 9 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 126 + 2 + -112 + 81\nAnswer: 97","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fc when two letters picked without replacement from xxgcgfa?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (2\/(-3))\/(2\/15). Let n(v) = -v**3 - 5*v**2 + v - 1. Determine n(y).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -32 + 8. Let s(b) = -2*b**2 - 12*b + 8. Let t be s(-7). Let r be 7 + -2 + v\/t. Let d(j) = j - 8. Determine d(r).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 65 - 108?\nAnswer: -93","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 56*a + 4092 = -68*a for a.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*s - 2*s + 91 = 4*l, 5*s + 48 + 727 = 34*l - 236 for l.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = 12*a - 12. Let s be i(1). Let r be (-1 - s\/(-4)) + 4 + 1. Solve -r*x = -y + 17, 1 = -4*x - 15 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -3*h + 94. Let v be t(22). Solve -v*s - 2 = -29*s for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = h - 7 + 5 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 571 + 8*5\/(-10). Suppose -5*h + o - 112 = 0. Calculate the highest common factor of h and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = 38*r**2 - 22*r - 67. What is the units digit of h(-4)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 10 + -13. Let c = -423 + 423. Put 4, o, -1, c in decreasing order.\nAnswer: 4, c, -1, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 25 divide 875?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -87*x + 6 = -89*x for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1342*j + 2799*j - 869*j.\nAnswer: 588*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 18\/99*33\/3.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -10367\/10 + 1027. Find the common denominator of x and 1 + 0 - 234\/75.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h*h**(-5)*h*h)\/h)**(-5\/7) assuming h is positive.\nAnswer: h**(15\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11 + 22010*r**2 + 11 - 22012*r**2.\nAnswer: -2*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n = -2*l + 2318, -3*n + 7*n + 4*l + 4620 = 0. Let a = 787 + n. What is a rounded to the nearest ten?\nAnswer: -370","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2695 by 539.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 8610 divided by -1722?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -22879 + 22904. Solve -14*p = -z*p - 88 for p.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r + 28 = -2*r + 2*h, r = -2*h + 16. Suppose 2*s = 2*m - r, -s + 6 = m + 2*s. Suppose 2*l = -m*l + 25304. Is l a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 10 or -2092063?\nAnswer: -2092063","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 665810.1 less than 1.197?\nAnswer: -665808.903","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (8103\/(-438))\/((250\/20)\/25).\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 33600 to the nearest integer?\nAnswer: 183","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = 19*w**2 - 96*w - 8. Let t be m(5). Is t less than or equal to -6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 649549 and 23511?\nAnswer: 461","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-13)\/(-78))\/(1\/4)*3. Suppose -b*a = -a - 9. Suppose -4*y + y + a = 0. Is y bigger than 3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (h - 4*h + 2*h)*(-2*h**2 + 2*h**2 - 3*h**4) - h**5 + 0*h**5 + 4*h**5 + (h**4 - h**4 - 2*h**4)*(-h + 4 - 4) + 4*h**5 + 2*h**5 - 4*h**5.\nAnswer: 10*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 4, -5, -36, -95, -188, -321, -500, -731?\n\"Answer: -h**3 - 5*h**2 + 13*h - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1461480801 to the nearest integer?\nAnswer: 38229","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 34056 and 132.\nAnswer: 34056","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2683 - 2681. Let -32\/11 - 16\/11*d - 2\/11*d**g = 0. Calculate d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3151542029 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3 - o + 4*o - 4*o + (-6 - 14 - 6)*(3*o - 3*o - 2*o).\nAnswer: 51*o - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(16) - (sqrt(16) - sqrt(32)\/sqrt(2)))*-3)\/(sqrt(80)\/sqrt(40)).\nAnswer: -6*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8862.\nAnswer: 2, 3, 7, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -201, -153, -111, -75, -45?\n\"Answer: -3*b**2 + 57*b - 255","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 104.1 and -590.9?\nAnswer: -61512.69","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) -3 (b) -0.1 (c) 273.033\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in 0.4, -1\/4, 8\/7?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -7443570810 rounded to the nearest one million?\nAnswer: -7444000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4983?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + 2*o = -14800006, -3*y - 5*o - 29600015 = -7*y. What is y rounded to the nearest 1000000?\nAnswer: 7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1572\/10 + 11\/(-55) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-3 + 8)*(2 + 1 + -2). Let o be (11\/22)\/(2\/4). Let t = o - s. Let i(k) = -k**3 - 4*k**2 + k - 1. What is i(t)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.1674 + -0.1674. Let a = 15 - 5. What is the nearest to -1\/2 in a, u, -1\/8?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -78 + 71. Let d be ((-7551315)\/(-35))\/3 + 2\/b. Let l = 180617 - d. Round l to the nearest 10000.\nAnswer: 110000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 483996731?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = 2*b**3 + 18*b**2 - 5*b - 90. Calculate i(-9).\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1468 + 833. Let x = 928 + b. Is x a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) be the first derivative of 41*z**2\/2 + 870*z - 9212. Calculate y(-21).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -193490*d + 2*x - 69 = -193485*d, 5*d = 3*x - 101 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 10*(5 + -4)*3\/5. Suppose k = -3*j + u*k + 24, -5*k - 21 = -2*j. Suppose 228 = 4*m + 4*o, 0*o = -j*o - 9. Is 12 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*b**5 - 57*b**3*k + b**3 + 48*b**2*k - b**2 + 2 wrt b.\nAnswer: -120*b**2 - 342*k + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -3, 3, 2\/169, 6 in decreasing order.\nAnswer: 6, 3, 2\/169, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 5*0.019\nAnswer: 0.095","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -116868 - -514868. What is n rounded to the nearest one hundred thousand?\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -x**3 - 19*x**2 + 19*x - 17. Let n be c(-20). What is the nearest to -2\/3 in 19, 0.5, n?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is c + -12?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7 + -1 + 5 + -3 + 2.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (m + 5 - 5)*(190*m**3 - 225*m**2 + 225*m**2) + 13*m**4 - 23*m**4 + 8*m**4 in the form r*m + d*m**2 + c + a*m**3 + i*m**4 and give i.\nAnswer: 188","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -271, -4, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 5744*i**5 - 51*i**2 - 61*i + 18025 wrt i?\nAnswer: 114880*i**3 - 102","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(38) - (sqrt(418) - 2*sqrt(418))\/sqrt(11))*3)\/(-1*sqrt(242)*6))**2.\nAnswer: 19\/121","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -z**2 + 4*z - 1. Let v = -43 - -46. Give s(v).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1362 divided by 454\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = x**3 + 6*x**2 + 23*x + 103. Determine n(-5).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = 6*w**2 - 102*w - 1028. Calculate the remainder when l(-10) is divided by 103.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*p = 24*p - 5. Put -3, -9, p in descending order.\nAnswer: -3, p, -9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 74.78664ng to milligrams.\nAnswer: 0.00007478664","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -1515a (base 14) in base 12?\nAnswer: -263b8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 112 and 38709706.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*v + 2*v - 3*v + 2 + 0*v + 0*v + 5*v + (-3*v + 0*v + 5*v)*(1 + 2 - 1) - v - 3*v + 5*v + 2*v - 1 + 1.\nAnswer: 9*v + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 16409, 2, -1, 13 in decreasing order.\nAnswer: 16409, 13, 4, 2, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) be the first derivative of 34 + 0*r + 3*r**2 - 3*r**3 + 3\/5*r**5 + 0*r**4. Determine b, given that t(b) = 0.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor z**3 + 294*z**2 + 585*z + 292.\nAnswer: (z + 1)**2*(z + 292)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 4 + (-63 - -23) + 28\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 608420311.\nAnswer: 23, 47, 562831","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 10073, 80759, 272615, 646223, 1262165, 2181023?\nAnswer: 3463379","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1)\/136)\/(2020\/(-32320)).\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -924.07 + 924. What is the nearest to -1.9 in u, 5, 0.2?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -785*p + 65 = -389*p - 383*p. Let b = 15 + -11. Let x(j) = -j**2 - 5*j - 1. Let m be x(-2). Solve -5*l + p*v = -10, v - 14 = -m*l - b for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*p + 4*i - 158, -59 = -3*p - 5*i + 173. Sort -0.3, 0.3, p, 4 in decreasing order.\nAnswer: p, 4, 0.3, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 + 1 = -2*y, 2*h + 4*y + 30 = 0. Let q(b) = 32*b + 4 - 7 - 12*b - 12*b - 4*b. Let o(n) = 5*n - 4. Determine h*o(g) + 6*q(g).\nAnswer: -g + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -m - 1. Suppose 3 = x + 2*x. Let d(y) = 11*y - 6. Let r(f) = -5*f + 3. Let w(b) = -4*d(b) - 9*r(b). Determine x*w(z) - p(z).\nAnswer: 2*z - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.399261 to 3 decimal places.\nAnswer: -0.399","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2148 - 2148. Let a(j) be the third derivative of n*j + 0 - 15*j**2 + 0*j**3 - 1\/4*j**4 + 13\/60*j**5. Find the second derivative of a(d) wrt d.\nAnswer: 26","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 n when three letters picked without replacement from {n: 4, c: 5, d: 2}?\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.9 + 0.1. Let h = r + 3. Let p = -497.8 - -498. What is the smallest value in h, p, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-16)\/(-6))\/((-28)\/(-63)). Let g(w) be the second derivative of -3\/20*w**5 + 6*w - 1\/60*w**b - w**3 + 0 - 13\/24*w**4 - w**2. Factor g(o).\nAnswer: -(o + 1)**2*(o + 2)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 84 - 84. Suppose -5*y + r*y = -955. List the prime factors of y.\nAnswer: 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (0 + sqrt(2))**2*2.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = f**3 + 4. Let n be q(6). Let a = 407 - n. Is a composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 17 + -16.6. Let z = -1.6 - a. Let u be (-38)\/(-35) - (-3)\/(63\/(-6)). What is the biggest value in u, 1\/9, z, -0.4?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 61865, 35, -0.3 in descending order.\nAnswer: 61865, 35, -0.3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 2020 (base 7) to base 11\nAnswer: 587","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 264 and 4274952.\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -3*f**2 + 22*f - 5. Let s be h(7). Solve 0 = s*m + b + 9, 4*m - b + 3 = 2*b for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = 5*k - 2. Let q(r) = -11*r + 4. Let z(w) = 13*o(w) + 6*q(w). Determine z(3).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3 + -6. Let r = -2.1 + 0.1. Let x = 5.6 - 6. Which is the second biggest value? (a) x (b) g (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 58840.68 seconds to nanoseconds.\nAnswer: 58840680000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-6204)\/(-99) - ((-120)\/(-18) + -7). Calculate the highest common divisor of c and 51471.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 501763976?\nAnswer: 2, 7, 17, 527063","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1260 and 100.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find w, given that w**5\/3 + 10*w**4\/3 - 39*w**3 - 1018*w**2\/3 - 2428*w\/3 - 616 = 0.\nAnswer: -14, -3, -2, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 31279 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 0.015 + 17.00166597245\nAnswer: 17.01666597245","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*d**3 + 0*d**2 + 0*d**2 + (d**2 + 0 + 0)*(-12*d - 31*d + 8*d))*(63 - 130 - 61).\nAnswer: 4224*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*i**2 - 10864*i + 14753312.\nAnswer: 2*(i - 2716)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.12739 - -0.13739. Let b = -6.7 + 1.1. Let a = b - -0.6. Sort m, -2, a in descending order.\nAnswer: m, -2, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = 5*k**2 - 4*k + 2. Give q(2).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence br when two letters picked without replacement from ffrbbrbfrbbbb.\nAnswer: 7\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 3734 >= 3734?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*b - 8 = 4*b for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) be the first derivative of -1189*i**4\/4 - 1421*i - 981. Find the first derivative of a(q) wrt q.\nAnswer: -3567*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 11 and 24233.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 846081693776+2.14\nAnswer: 846081693778.14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vb when two letters picked without replacement from bbvcuc?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = v**3 - 5*v**2 - 5*v - 24. Determine a(7).\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1505, -4541, -0.4.\nAnswer: -4541, -1505, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = r**2 + 7*r + 10. Calculate q(-5).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 90 + -31. Suppose k - 218 - p = -3*l, 5*k + 2*l - 1320 = 0. What is the tens digit of k?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -2913, -5841, -8769?\n\"Answer: -2928*t + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -545*c = -532*c - 1092. Find the second derivative of -116*p - 135*p**2 + 67*p**2 - c*p**2 wrt p.\nAnswer: -304","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -32\/5 - -69\/10. Let b = -911\/10 - -91. Is b < i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-4)\/(-60))\/((-22)\/(-165)). Let c(q) be the third derivative of d*q**3 + 0 + 7*q**2 + 0*q + 1\/24*q**4. Calculate c(-6).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) be the second derivative of 2*o**5\/5 + 7*o**4\/12 + 2*o. Find the third derivative of d(j) wrt j.\nAnswer: 48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -4*v - o, 2*v + 4*o + 0 = -2. Suppose 3 - 1 = 2*y. Let n be y*(-2 + v - -1). Which is smaller: n or 1?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.3573 to the nearest integer.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:23 AM and 1:43 AM?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -2445 + -211220?\nAnswer: -214105","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n\/n**12)\/(n**(6\/11)*n*n)*n*n**(2\/7)\/n*n**5\/n assuming n is positive.\nAnswer: n**(-713\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -4*l + 3. Let t be ((-18)\/(-13))\/(-9) - 441\/91. Let d(a) = 2*a - 13. Let x(u) = -u + 9. Let i(h) = 5*d(h) + 7*x(h). Calculate t*y(c) - 7*i(c).\nAnswer: -c - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-65)\/(-10))\/((-3)\/(-6)). Let l = s + 11. Is l a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 896*w + 899*w + 898*w + 903*w - 3587*w.\nAnswer: 9*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 274585, 274293, 274001, 273709?\n\"Answer: -292*c + 274877","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1085\/2 + 7577\/14. Let d = 770551877\/20882 + -1954524\/53. Let n = d - -4\/197. Calculate the common denominator of n and m.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n\/n**14)\/(n*n**(-5\/3)*n))\/(n\/(((n*n**11)\/n)\/n)*n**(-4\/5)*n) assuming n is positive.\nAnswer: n**(-68\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2*((-16)\/24)\/(40\/6).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -u**3 + 10*u**2 - 11*u - 4. Determine d(8).\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 52\/(-2) + 959616\/36960?\nAnswer: -2\/55","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -u**3 + 2*u**2 + 9*u - 3. Let v be y(4). Let k(h) = 2*h**3 + 2*h**2 - 3*h + 2. Let g be k(v). Solve 3*n**2 - 2149 + g*n + 2149 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is c65c - 5?\nAnswer: c657","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -14759 or 264\/5?\nAnswer: -14759","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -6*k**2 + 11*k - 2. Let s(v) = -4*v**2 + 9*v. Determine 5*s(r) - 4*w(r).\nAnswer: 4*r**2 + r + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Determine a, given that 0*a**3 + 3\/2*a**5 - 3\/2*a + 3*a**2 + 0 - 3*a**4 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in 3\/2, 8, -0.03, -0.3?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5842567?\nAnswer: 5842567","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.553 - 74156033.\nAnswer: -74156032.447","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/4, -3, -1.\nAnswer: -3, -1, -1\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:37 AM and 9:57 PM?\nAnswer: 680","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + 1 + sqrt(320).\nAnswer: -3 + 8*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) be the second derivative of 1\/12*m**4 - 12*m - 4*m**2 + 1\/2*m**3 - 1\/20*m**5 + 0. What is the hundreds digit of h(-5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 86.92847 hours in milliseconds?\nAnswer: 312942492","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -112 + (-140 - -40) + 285?\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b - b = 2*h + 13, 2*b - h = 14. Find y, given that -b*y + 2*y + 16*y**2 - 3 + 52*y**2 - 8*y**2 = 0.\nAnswer: -1\/5, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4786?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = s**3 + 42*s**2 + 379*s + 38. What is k(-29)?\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -1436, -2974, -4512, -6050, -7588?\n\"Answer: -1538*i + 102","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -401 + -667?\nAnswer: -1270","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 19539102?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 916603?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/6 in 108, -645\/4, 4, 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -231 + 250. Solve -17*g = -x*g + 6 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.3 bigger than 130?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(2\/5)*j**(4\/3))**37 assuming j is positive.\nAnswer: j**(962\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -m**3 + 11*m**2 - 40*m + 229. Let f(w) = 308*w**3 + 2*w - 1. Let n be f(1). Let d = n - 219. What is the remainder when d is divided by h(9)?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2676 and 16?\nAnswer: 10704","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = k**2. Let a(p) = 4*p - 1. Let h be a(1). Suppose -h*s + 3*r + 3 = -0, -4*s - 4*r = -36. Let t(v) = s*v + 0 - 6*v + 0. What is b(t(g))?\nAnswer: g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 6\/23 + -88\/161. Sort 4, u, 3\/4 in decreasing order.\nAnswer: 4, 3\/4, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x and 1 g when two letters picked without replacement from xgnxjgg.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*l + 4*l = 2*y - 4, -3*l - 5*y = -4. Suppose 2*h + l*h - 40 = 0. Suppose -5*k = -25 - 15. Solve x - k = 2*z + 3*x, -3*z + x + h = 0 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.209 - -0.388936. Let d = 0.07 + 0.11. Let b = l - d. What is b rounded to five decimal places?\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*i**2 + 9332892*i - 9332889.\nAnswer: -3*(i - 3110963)*(i - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3888 and 1732064?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 15478 and 16132?\nAnswer: 218","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -189 (base 10) to base 13\nAnswer: -117","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -107*s**3 - 6*s**2 + s**2 + 5*s**2.\nAnswer: -107*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n = -2*l + 1780, -5*l - 7*n + 4457 = -3*n. What is the greatest common factor of l and 19?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 1325948, 1325978, 1326008, 1326038, 1326068?\n\"Answer: 30*i + 1325918","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*s = 2*s - 26. Let q = 13 - s. Suppose 0 = 4*r + 5*j - 6, q*j + j - 10 = -3*r. Calculate the smallest common multiple of r and 2.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (13 - 11)*(-5)\/2\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 12 and 6780702?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 + 6\/5*d**2 - 2\/5*d + 2\/5*d**4 - 6\/5*d**3.\nAnswer: 2*d*(d - 1)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7\/12*(85\/1785)\/(2\/(-3)).\nAnswer: -1\/24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 363 and 33.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = 48*n + 11. Give z(-2).\nAnswer: -85","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-28)\/8 + 3)*12. Let w = p - -8. Solve -k - w*k + 12 = 0 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) be the third derivative of b**7\/70 - b**6\/20 - b**5\/20 + b**4\/4 + 27*b**2. What is f in p(f) = 0?\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -67*q**3 + 43*q**2 + 43*q**3 - 1 - 46*q**2 to z*q**3 + r*q + h*q**2 + c and give z.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (10\/6 + 0 + 2)*15. Suppose -2*z + 59 = -q. Let k = z + -8. What is the units digit of k?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 1, l: 1, q: 1, w: 1, g: 2, r: 1}. What is prob of sequence blqw?\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -3b - 8?\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -23 or -30?\nAnswer: -30","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when -93*(4 + -1 - (-12)\/(-3)) is divided by 32?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.1, 1\/4, 0.1, -51, -3, 142?\nAnswer: -51","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1124 is divided by 75?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 54 - 52.1. Sort 4, a, 0 in decreasing order.\nAnswer: 4, a, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 3 (b) 2 (c) -100\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = 89*i - 22. Let h(u) = u + 3. Determine 14*h(l) + 2*x(l).\nAnswer: 192*l - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 37704369229 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 13727.2580024 - 13721.258. Let p = 6 - a. Round p to 6 dps.\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -42.05497 to one dp.\nAnswer: -42.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*u - 3*u + 0*u)*(2*u**2 + 2*u**3 - 2*u**2) - 9*u**4 + 10*u**4 - 5*u**4 to c*u**4 + s + l*u + r*u**3 + q*u**2 and give c.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00756683671 to 6 dps.\nAnswer: 0.007567","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -68\/15 or -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = 2*y + 18. Let i be k(-8). Put -4, i, 5 in decreasing order.\nAnswer: 5, i, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-seven fifths of a litre in millilitres?\nAnswer: 7400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p + 312 + 1236 = 3*y, 3*p = -4*y - 4696. Let f = p - -1562. Solve -3\/7*u**4 + 3\/7*u + 9\/7*u**3 + 0 - 9\/7*u**f = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 312 - 304. Suppose 0*j - j + 4*f = s, -3*j - 3*f = -51. What is the least common multiple of j and 90?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r, 1 o, and 2 k when four letters picked without replacement from {o: 5, r: 1, a: 1, k: 3}?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -2*o**2 + 6*o - 5. Determine z(3).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 39 + -39. Put -11, o, -2 in descending order.\nAnswer: o, -2, -11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -q + 0*q + 3 + q**2 + 6*q - 2*q. Give f(-3).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 548806 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 6\/(-16*(-16)\/288) - 42\/12\nAnswer: 13\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10186 is divided by 2541.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 510?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (-702852)\/15830*(-10)\/12?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 30231848 to the nearest integer?\nAnswer: 312","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ffs when three letters picked without replacement from {s: 1, f: 7}.\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/q**16*q**(1\/28)*q)\/(q**10)**(-33) assuming q is positive.\nAnswer: q**(8849\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o = u + 324 - 37, -4*o - 376 = -2*u. Let z = o + 181. Let a = z - 91. Let m(l) = l**2 + 6*l + 4. Determine m(a).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -6*z + 5*z - j, -2*j + 6 = 0 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -251, -3, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 23041.9099 + -1.662?\nAnswer: 23040.2479","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 22\/88*-20*4*12\/(-200)?\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4004?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -10\/27, 3\/2, 1\/7, 4\/7, 0.2 in increasing order.\nAnswer: -10\/27, 1\/7, 0.2, 4\/7, 3\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 2193159 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Are 130\/26569 and -1 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (-5 - -5) + 7 - (3 - 3)\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 937541\/60 + -15628. Calculate the common denominator of -109\/84 and v.\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 7975?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p + 2*p = 15. Let a be 0\/(4 - (-1 + p)). Suppose -2*t + 3*t - 4 = a. Solve 3*o - 9 - t = 2*q, 0 = -2*q - 4*o + 22 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) be the second derivative of 0 - 3*g - 3*g**2 - 11\/6*g**3. What is the first derivative of k(q) wrt q?\nAnswer: -11","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 divided by 42156031.\nAnswer: -5\/42156031","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -9*k - 5 + 5. Suppose 3*u = -4*d + 5, -3*d - 3 = -k*d. Suppose -2*g - 2*g = -4. Put u, g, 5 in descending order.\nAnswer: 5, u, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 174264?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express (-60*x**2 - 99*x**2 + 98*x**2)*(-64*x + 28*x - 2 + 34*x + 2*x**2) in the form b*x**2 + m + p*x + s*x**4 + h*x**3 and give s.\nAnswer: -122","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0 + 0.1. Let u = 205425\/273908 - -3\/136954. Which is the closest to -0.1? (a) l (b) u (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 344 + -32?\nAnswer: 312","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-19)\/(-152))\/((2\/(-2))\/1)?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -129 greater than -125?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*g - 144 = 4*v - 24*g, -5*v - g = -3*g + 96 + 144 - 213 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-1)\/((-10)\/4) - (-416)\/(-65). Let z be 0 - (a + 4) - -4. Find the third derivative of 9*n**2 + 0*n**2 - 10*n**z - 7*n**2 wrt n.\nAnswer: -1200*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -9 + 5 - 27*r**2 + 3 - 1 in the form t + l*r**2 + w*r and give t.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 120 minutes before 4:41 AM?\nAnswer: 2:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2275814 is divided by 120?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 0 times -0.2\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 73 a factor of 1314?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Total of -23.1 and -1.05.\nAnswer: -24.15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -3, 25, -9, -2, 42, -1 in decreasing order.\nAnswer: 42, 25, -1, -2, -3, -5, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -100*q**4 + 2220*q**3 - 9376*q**2 - 8592*q - 1792 = 0. What is q?\nAnswer: -2\/5, 7, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tizzizzttzizizzz. Give prob of sequence zi.\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-2)\/4 + 20\/8. Suppose 2*v + 12 = -m*v. What is the remainder when 44 is divided by 45*(10\/3 + v)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.53, 61, -0.8, -0.1, 0, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = 2275*n**3 + 61*n - 60. What is the least common multiple of g(1) and 48?\nAnswer: 27312","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2\/9 (b) 1.56 (c) -0.047 (d) -0.5 (e) 3\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 9, r: 10}. Give prob of picking 2 g and 1 r.\nAnswer: 120\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.19 - 9.2069.\nAnswer: -9.0169","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mvmmvvvk. What is prob of picking 2 v?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**7\/y)**(3\/50))**(1\/13) assuming y is positive.\nAnswer: y**(9\/325)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*k + 27*k = -48 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 17450686?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -41*t + 13*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = 5*b - 18. Determine k(-9).\nAnswer: -63","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k\/((k**(-4\/7)*k)\/k))**(-14) assuming k is positive.\nAnswer: k**(-22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -36*t**2 + 132*t**2 - 35*t**2 - 28*t**2 - 36*t**2.\nAnswer: -3*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -919*w - 371*w = 390*w - 99120 for w.\nAnswer: 59","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 (base 12) in base 14?\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9 - 9 - 8*g**2)*(0 + 0 + 2)*(3*g**3 + g - g)*(1 + 6 - 2).\nAnswer: -240*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = 3*h. Let i be 14 + (-75)\/6 + 13\/(-2). Let g(x) = 18*x + 35. Let a(t) = i*o(t) + g(t). Let k(l) = -l**2. What is a(k(q))?\nAnswer: -3*q**2 + 35","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.89 or -192?\nAnswer: -192","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -25*d - 2*d**5 - 29*d + 58*d wrt d.\nAnswer: -40*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 78, 139, 296, 591, 1066, 1763?\n\"Answer: 7*q**3 + 6*q**2 - 6*q + 71","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = 58*n - 7. Let p(r) = -14*r - 35. Let s be p(-5). Suppose -s = -5*g - 3*m, -2*m + 31 = 4*g + m. Is u(g) a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 194*h - 196*h = 20. Let t be (-12)\/h*45\/(-18). Sort 1, 16, t.\nAnswer: t, 1, 16","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*v - 12*q + 7*q = 0, -3*v - 32 = 29*q - 16*q for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 - -744.\nAnswer: 749","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6.704712 litres to millilitres.\nAnswer: 6704.712","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -16 - -13 - (-2 + 1)*187. Let j = u + -40. What is the remainder when j is divided by 17?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -w**2 - 2*w + 1. Suppose -17 = 3*f + 5*m - 0, -f = m + 5. Let y be (f\/(-8) + -1)*4. Determine g(y).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -209\/19026000 and -59\/1585500.\nAnswer: 19026000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -r**3 + 14*r**2 + 4*r + 37. Let g be f(14). What is the greatest common divisor of g and 31?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -456.4 - -496. Round u to zero decimal places.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 105*z + 12 = 99*z. Let l(r) = -r**3 - r**2 - r - 1. Let k(y) = -5*y**3 - 6*y**2 - 4*y - 1. Let o(q) = -k(q) + 3*l(q). Determine o(z).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:53 AM and 9:40 PM?\nAnswer: 587","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -7 - -6.5. Let k = 100 - 99.6. Which is the fourth biggest value? (a) -4\/3 (b) 4 (c) h (d) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 w and 1 e when three letters picked without replacement from {e: 2, z: 1, w: 2}?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -21939761, -21939736, -21939709, -21939680, -21939649, -21939616?\nAnswer: -21939581","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 203, 100, -157, -640, -1421?\n\"Answer: -12*n**3 - 5*n**2 - 4*n + 224","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 divided by -67226?\nAnswer: -5\/67226","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 1260, 1273, 1312, 1389, 1516?\n\"Answer: 2*a**3 + a**2 - 4*a + 1261","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = 2*p**2 - 51*p - 15. Let c(q) = -3*q**2 + 72*q + 22. Let d(f) = -5*c(f) - 7*h(f). Determine d(-5).\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 49*v = 120*v + 81*v - 304. Which is the closest to -1? (a) -0.5 (b) 0.5 (c) v (d) -0.08\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) be the third derivative of x**4\/24 + 4*x**2. What is the least common multiple of c(5) and 6?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 12273*n*y**6 - 19*n*y**5 + 471916*n*y**2 wrt y.\nAnswer: 1472760*n*y**3 - 1140*n*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -5615 + 48*b + 76*b + 1277*b**2 + 145*b**2 - 125*b + 331*b**2 wrt b.\nAnswer: 3506*b - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7111999 divided by 5\nAnswer: 7111999\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -1.23*-6\nAnswer: 7.38","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.8 and -4.11.\nAnswer: 3.288","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 10639 rounded to the nearest 1000?\nAnswer: 11000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = 2*t. Let u(o) be the third derivative of 11*o**4\/8 + 10*o**2. Give u(r(f)).\nAnswer: 66*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 159\/15 + 9\/(-15). Let g = c + 0. Is 8 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -m**3 - 14*m**2 + 16*m + 18. Let i = 26 + -26. Suppose i*r = -2*r + 82. Calculate the least common multiple of r and f(-15).\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -7507*f + 788. Is n(-9) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*k + 23*k + 1263 = -4*g, -3*k + 5*g = 3772. Let b = 1263 + k. Let t(o) = -o + 5. Let a be t(3). Solve 3*q = i + 3*i, -b*q = -a*i + 10 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-78)\/(-9)*(-42)\/182*(405\/(-6))\/(-3)\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 396\/108 + -1*(0 - -3). Put v, -2\/17, 9 in descending order.\nAnswer: 9, v, -2\/17","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 3365010 and 10300.\nAnswer: 33650100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 8 and 311204.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 59 + 10123\/(-159) + (-955)\/(-15).\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -91 + 95. Suppose 0 = 3*v - 13 + x. Solve -3*k = 4*t + 11, -5*t = v*k + k + 13 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 10631, 6122, -1387, -11890, -25381, -41854, -61303, -83722?\nAnswer: -109105","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 14 + -14. Is 0.1 at most o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p = -4*z + 16, 21 = 2*z + 3*z - p. Suppose 4*v - 7 = 4*w - 3, z*v = 10. What is the closest to w in -0.5, -2\/15, -3?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 201 - 103?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -11*x + 13*x - w + 3, -3*x - 12 = -4*w. Factor 3\/7*r**3 + 0 + 0*r + x*r**2.\nAnswer: 3*r**3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -2612, -10602, -23976, -42734?\n\"Answer: -2692*f**2 + 86*f - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -2 - 4 - 4*j + j. Let n(r) = 0 + 0*r - 1 - r. Let o(a) = a**3 - 11*a**2 + 9*a + 6. Let i be o(10). Calculate i*n(w) + g(w).\nAnswer: w - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -4*x**2 - 2*x + 1. Suppose -3 = -5*i + 2. What is d(i)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -b + 34. Let y(q) = 11. Calculate 2*n(t) - 7*y(t).\nAnswer: -2*t - 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = 3*n - 2*h + 13, -n = -3*h + 2. Let l be (n\/6)\/((-1)\/(-3)). Is (-54)\/(-2) + 8\/l composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -7528*m**3*p - 87*m*p - 4*p wrt m?\nAnswer: -45168*m*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i + 51 = -17. Let t = i - -17. Suppose -2*x - y = 3, t*y - y = x. Which is the closest to x? (a) -0.3 (b) 2\/7 (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 113 is divided by 58.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -92214 = -11178*f + 107653 - 639126 - 522049 for f.\nAnswer: -86","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f = -f - 2. Suppose 3*h = -2*h - 25, 3*p = -f*h + 3167. Let u = -632 + p. Is u composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.1 + 4135\nAnswer: 4134.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -99\/11765740 and 79\/434.\nAnswer: 11765740","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3823, -2701, -831, 1787, 5153?\nAnswer: 9267","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(343) + 1 + -3)**2 + 5 - (-1*(sqrt(847) + -2*sqrt(847) + sqrt(847)) + 0).\nAnswer: -28*sqrt(7) + 352","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = u**3 + 2*u**2 - 5*u - 2. Let w be y(-3). Suppose 3*l - 833 = -w*l. Is l composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*z + 2 = -f, z = -f + 4947 - 4937 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -j**3 - 80*j**2 - 166*j + 68. Calculate p(-78).\nAnswer: 848","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -17*q**2. Let b(k) = 18*k**2. Give b(d(m)).\nAnswer: 5202*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.351158mg in micrograms?\nAnswer: 1351.158","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 7 - 4. Suppose 5*u - a + 3 = h*u, -a = -4*u - 1. What is the units digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 42\/(-11) - (-26)\/(-143). Let u be (30\/20)\/(-1) - 6\/t. Solve -2*b + 2*p - 2 = -5*b, u = -3*b - 3*p - 3 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 293629 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -x - 2*o + 3, x - 5*o - 3 = 2*x. Suppose 25 = 3*p + x. What is the units digit of (p\/(-8) - 2\/8)*-41?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:57 AM and 2:07 PM?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 106351831?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.25 - 0.9. Let r = 0.45 + m. Which is the fourth biggest value? (a) 2\/11 (b) -8 (c) 1 (d) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4878 + 0.\nAnswer: -4878","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is -11148619 >= -11148621?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5)\/((-55)\/123) - 11.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 - (-4 - (-10 - (4 - 4)))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*r - 10*r + 44*r - 10*r.\nAnswer: 18*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*b + 2*b + 360 = 0. Is 46 greater than or equal to b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -62*n = -4*b - 57*n + 4, -b = 4*n + 20 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 4, q: 3, e: 1, d: 4, s: 2}. What is prob of sequence qzqd?\nAnswer: 4\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j = -0*j. Let v = j - -1. Let l(a) = 26*a**3 - 2*a**2 + a. Is l(v) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 972\/21 - ((-5)\/7 - -1)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = m**3 - 8*m**2 - 52*m + 13. What is the units digit of j(14)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 690 minutes after 6:36 AM?\nAnswer: 6:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1\/125 - 2359\/2000. Let l = 126829\/277376 - -8\/2167. Calculate the common denominator of l and y.\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1.0205 - -70.0205. Is x not equal to 4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -54*p**3 + 1 + 5*p**3 + 2 - 3*p + 19*p**3 + 20*p**3. Determine u(1).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -48*q**3 + 3*q - 2. What is z(1)?\nAnswer: -47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6)\/36 - 49\/(-105).\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 928 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1164\/(-873))\/((4\/10)\/(1014\/(-65)))?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 450*y - 868*y + 56*y**2 + 422*y - 3*y**3 as m*y**2 + f*y**3 + h + w*y and give m.\nAnswer: 56","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 3105\/(-690)*((-2)\/(-9))\/1*4\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 646 minutes before 7:04 AM?\nAnswer: 8:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -581600 rounded to the nearest one hundred thousand?\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -644 - -642. Let c = -2 + 3. What is the second biggest value in c, -5, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -15 + 707*q - 19 + 7 + 79 + 86 wrt q?\nAnswer: 707","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 12984 = 12992?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -x**2 + 1. Let k be j(1). Suppose h - 2*b - 45 = k, -2*h + 74 = -3*b - 12. Is h composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 + ((-9066)\/12)\/(1\/(-2)) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 13 - 12. Let c = 1.044 - t. Let u = -0.246 - c. Round u to one decimal place.\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-106)\/((-4)\/(-25)*14500\/1160).\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 117601148 a multiple of 116?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = h**3 + 6*h**2 - 13*h + 66. Let g be o(-11). Let c = -393 - g. Solve -4*l = -2*n + 8, -c*l = -0*l + 6 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 + 2*r - 3)*(-9 + 11 + 4 - 7 - 2 + 0 + 0 + 2 + 0 + (4 - 7 + 1)*(1 + 1 - 1)) as v*r + s and give v.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 149 + -108. Let x = y - -7. Let k = x + -48. Which is the nearest to -3\/4? (a) 1\/5 (b) 3 (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 196, 219, 240, 253, 252?\nAnswer: 231","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.4 from 10.78.\nAnswer: 10.38","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -42, -75, -130, -219, -354, -547?\n\"Answer: -2*n**3 + n**2 - 22*n - 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 + -30 - -41 - 73?\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*j - 15*j + 48*j - 14*j.\nAnswer: 11*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 3, e: 12, b: 2}. Give prob of picking 1 b and 1 x.\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 191 is divided by 48.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 19\/18 and ((-13)\/5)\/((-63)\/(-10)).\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 162 - 2*g**4 + 3*g**2 - 162 wrt g.\nAnswer: -48*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 60133361?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3*h**2*j**3 + h**2*j - 8*h**2 - h*j - 13*j**4 wrt j?\nAnswer: 18*h**2*j - 156*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t - 15 = -g + 4, -5*g - 2*t + 71 = 0. Let m = -8 + g. Let i(q) = -m*q - 9*q + q**2 + 14*q. Let s(z) = 9*z**2. Calculate s(i(d)).\nAnswer: 9*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) be the second derivative of 11*x**3\/6 - 7*x**2\/2 + 3*x. Let g(f) = -6*f + 4. Give -4*d(b) - 7*g(b).\nAnswer: -2*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 53559 or 53016?\nAnswer: 53016","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 6? (a) 1 (b) 2\/7 (c) 7 (d) -0.06\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2357*a - 52643 - 95553 = 7366 for a.\nAnswer: 66","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o = -v - 103, -4*o = 2*v - 4*v - 98. What is the tens digit of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2366*l**3 - 2*l + 919?\nAnswer: -14196*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -t**2 - 17*t - 12. Calculate the remainder when m(-11) is divided by 16.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-72)\/(-18))\/((-27)\/(405\/(-156))).\nAnswer: 5\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -8 in 2, 0.07, 29?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c\/c**10)\/c)\/(c**(-10)\/c)*(c\/c**4)**42 assuming c is positive.\nAnswer: c**(-125)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2253449 is divided by 75.\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 619442?\nAnswer: 2, 31, 97, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j + 2*j = 12. Suppose -4*w = t - 48, -t = 3*w - 57 + j. Suppose -5 = 5*c, 0*a + 4*c = -2*a + t. What is the tens digit of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 63*w + 4 = 2*y + 62*w, -3*y + 6*w = 21 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 3 (b) 1\/7 (c) -1793\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 33\/293978800 and 83\/2280870.\nAnswer: 2645809200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -161561697.84 rounded to the nearest 10000?\nAnswer: -161560000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -18*4\/(-12)*1. Suppose -3*i = g - 6*i - 10, v = 3*g - i. Is g equal to 2\/705?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -t**2 - 9*t - 16. Let r be u(-7). Let b = r + 4. Let c be (-12)\/15*(-8 - b). What is the highest common divisor of c and 20?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 8, z: 1, q: 5, f: 1, e: 2}. What is prob of sequence zqfq?\nAnswer: 1\/2856","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 23*((-15)\/(-12))\/(((-168)\/560)\/((-24)\/(-20))).\nAnswer: -115","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2145290 to the nearest integer?\nAnswer: 1465","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*v + v = -2*h + 12, 20 = -5*h for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -3*d**2 + 148*d - 277. Determine m(48).\nAnswer: -85","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.1882669 or 4.3?\nAnswer: 0.1882669","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 4638 + -4638.58548. Let i = x + 0.8848. Let v = i - 0.3. What is v rounded to four decimal places?\nAnswer: -0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence okoq when four letters picked without replacement from wopttpwkqppqoo?\nAnswer: 1\/2002","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1098 and 1647?\nAnswer: 3294","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 120 divide 20483?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 329 divided by -99.\nAnswer: -329\/99","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 114*r = 121*r - 63. Suppose -3875 - 7150 = r*t. Round t to the nearest one hundred.\nAnswer: -1200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 i and 2 a when four letters picked without replacement from eaaeeaaeieiaeee.\nAnswer: 2\/273","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -191*s**3 - 13*s**2 + 14*s + 35. Is g(-11) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (10\/15)\/(155\/51 + -3). Suppose 5*u + 2 = d. Sort -3, 0, -5, u in ascending order.\nAnswer: -5, -3, 0, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.048 and 665.3782874.\nAnswer: 665.4262874","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = 1. Let c(y) = 5*y - 2*y + 6 + 3. Let t(r) = -c(r) + 5*s(r). What is the derivative of t(o) wrt o?\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -m**3 - 2*m**2 - m. Let f be o(-2). Let a(q) = -f + 0 + q**2 + 3 + 2 - 6*q. Let h be a(6). Which is greater: h or 2?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 122120122 (base 3) to base 14.\nAnswer: 4955","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3717, 7652, 11587, 15522, 19457?\nAnswer: 23392","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -507, -852, -1197, -1542, -1887?\n\"Answer: -345*w - 162","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-78)\/(-6) + -11 + 60\/(-29) + (-3832)\/(-58).\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 5\/3 - 61\/33. Let u = 0.7 + -3.7. Let t = 3.1 + u. What is the biggest value in t, l, -0.5?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 5, 0.5, 1\/4, -205?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) be the second derivative of -253*c**6\/30 + c**4\/12 - 220*c**3\/3 + 2*c + 134. Find the second derivative of d(s) wrt s.\nAnswer: -3036*s**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 15418.2 - 15418. Let z = 22.2 + 5.8. Which is smaller: f or z?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -142*z**2 - 564*z + 4. Let b be h(-4). Let g(v) = v**3 + 8*v**2 - 43*v + 45. Determine g(b).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 418 and 24354?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 699, 312, -1173, -3756, -7437, -12216?\n\"Answer: -549*h**2 + 1260*h - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((f\/f**(5\/3))**(-43))**(-1\/18))**18 assuming f is positive.\nAnswer: f**(-86\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 13.74 - 13.4. Let a = -0.14 + r. Let m = -5 - -4. Put m, 10, a in descending order.\nAnswer: 10, a, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 4\/5, 6, -2.8, -6 in decreasing order.\nAnswer: 6, 1, 4\/5, -2.8, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 73168 and 271252?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (5 + 4 + 617)*88\/16?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 14 and 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 214 + -221 - (69\/14)\/((-3)\/4). Which is the second biggest value? (a) -1 (b) -1\/3 (c) 66 (d) p (e) 5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -411*w + 88. Is y(-13) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19*t + 97*t + 314*t + 19600 = 0 for t.\nAnswer: -50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 4\/(-10) + (-52)\/(-130). What is the third biggest value in 2, 3, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1\/(-2)*(-15 + 14 + -1). Let h = -5 + 7. Let w = 4.8 - 0.8. What is the smallest value in n, w, h, 3?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9253 divided by -14520?\nAnswer: -9253\/14520","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -271466 (base 8) to base 10\nAnswer: -95030","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 63 and 4893?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let 10*j**3 + 29816*j**2 + 14597592*j - 5843808 = 0. Calculate j.\nAnswer: -2364, -618, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 i when three letters picked without replacement from ivivvi?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*u**3 + 7*u**2 - 7*u**3 - 2 + 2.\nAnswer: -10*u**3 + 7*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 53 - 47. Suppose -s*b + 4*b = -218. What is the tens digit of b?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (10\/16)\/(-5) + 65\/8 + -7. Sort -2, -25, l, 7\/3.\nAnswer: -25, -2, l, 7\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10142011 (base 5) to base 3\nAnswer: -11021020100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 9*k**2 - 95*k**2 + 1219*k**2 in the form l*k + o*k**2 + u and give l.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1109*d**2 + 4*d**2 + 1141*d**2.\nAnswer: 36*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**(2\/5)\/(s**(3\/4)\/s))**(-50))**27 assuming s is positive.\nAnswer: s**(-1755\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -4*y + 2*y. Suppose o = -y*o + 60. What is the tens digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -642441*q**3 - 4911*q**2 - 2*q - 1?\nAnswer: -3854646","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*v + 3 = -5*z, -7*z = -12*z + 5*v for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**(-31)\/c**5*((c\/c**(-9))\/c)\/c*c\/c**(-6\/17)*c assuming c is positive.\nAnswer: c**(-436\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor -176358605*j**3 + 75307143595*j**2 - 862229800*j + 2468060.\nAnswer: -5*(j - 427)*(5939*j - 34)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 41744714?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1075381785?\nAnswer: 3, 5, 31, 293, 877","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*r**2 - 58902*r.\nAnswer: 2*r*(r - 29451)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 - (-3 + 5 - (15 + -10))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 103898167 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 7\/45 and 29\/5070.\nAnswer: 15210","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1\/3, -0.5, 3\/4, -2?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-2576)\/92*(-1 + (2\/4 - 0)). Solve -i - 4*p = -2*p - 7, 4*i = -p + j for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -191 + 581 - 50*v - 196 - 189 + 0*v + 5*v - 4*v + (-1 - 1 + 4)*(-v + 0*v + 3*v) - 2*v - v + 4*v.\nAnswer: -44*v + 5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 69102\/5 + -13820. Sort 0.19, l, -1, -0.4 in descending order.\nAnswer: l, 0.19, -0.4, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -2*c**2. Let k = 8 - 6. Suppose 3*g - 2*g + 13 = 4*h, k*h - 3*g - 19 = 0. Let n(x) = 2*x**h + 0*x**2 + 4*x - 4*x. Give y(n(u)).\nAnswer: -8*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) be the third derivative of l**5\/40 + 11*l**3 - 175*l**2. Let k(n) be the first derivative of j(n). Let m(a) = a - 4. Calculate m(k(g)).\nAnswer: 3*g - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cjj when three letters picked without replacement from {j: 3, s: 1, c: 1}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1, -25112, -0.4, -1\/4, -5, 2?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = 23*t**2 - 9*t + 3. Suppose -2*w + 18 = -n - n, 13 = 3*w + 4*n. Is u(w) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -6*z + t - 7, -z + 348 = 3*t + 346 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3610?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.022903 and 2141.\nAnswer: -49.035323","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -3 - -2719?\nAnswer: 2716","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -125? (a) 0.3 (b) 6 (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3*8\/360*-3.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 6 and 4 - 5 - (-4788)\/(4 - 0)?\nAnswer: 3588","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7444 is divided by 207.\nAnswer: 199","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 122 - 39. Let x be (-4)\/6*1 + 109\/(-3). Let h = x + l. List the prime factors of h.\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 54\/4*(-16)\/(-6). Let l be 66\/(5\/120*4). Calculate the greatest common divisor of l and h.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 - ((2 - -4 - 6) + -5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h + 3*x - 22 = 0, 4*h + 10 - 24 = x. Let p be h\/12 + 29\/3. Factor -p*k**2 - 3*k**3 + 6*k**2 - 7*k**3 + 6*k**3.\nAnswer: -4*k**2*(k + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 329 (base 11) to base 13.\nAnswer: 244","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 2, x: 2, l: 1, s: 1}. Give prob of picking 1 s and 2 x.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1280 divided by 256.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2527919 is divided by 390?\nAnswer: 329","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 6, -4\/5, -2, 0.4?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 3.86 and 4?\nAnswer: 15.44","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*x - 6*x - 5*x + 15*x.\nAnswer: -3*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*j**3 + 701*j**2 - 5*j**4 + 2 - j**4 - j - 703*j**2 in the form x*j**2 + z*j**3 + f*j + b + p*j**4 and give x.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n and 2 l when three letters picked without replacement from {n: 5, l: 15}.\nAnswer: 35\/76","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-112)\/(-52) - 6\/39. Solve -h*v = 2*l + 12, 4*l = 2*v - 5 - 13 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*k**2 + 8*k**3 + 2*k - 2 - 5*k + 0*k**2 - 6*k**3 to g + i*k**2 + y*k + s*k**3 and give y.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-3)\/(-2) - 130\/(-20). Suppose s - 4 = -o. Let l(h) = -h**3 - 5*h**2 - 6*h. What is l(s)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1058071 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ttttztttzzzzztzzzt. Give prob of picking 2 t.\nAnswer: 4\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = 3006*k + 21018. Determine i(-7).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 31 - -30?\nAnswer: 121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 56659 is divided by 9298?\nAnswer: 871","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 26272939 to the power of 1\/2, to the nearest integer?\nAnswer: 5126","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qqqinqnnqinqnqn. Give prob of picking 3 q.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 68026463357 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + 0 - 2 = 0, 3*m = 5*w + 16. Let l be m*(-3 - -1)*(-4 + 3). Suppose 0 = -l*r - 18874 - 93926. Round r to the nearest ten thousand.\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 3 - -42512552?\nAnswer: 42512555","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -149 - -151. Let q be -4*(-2 + 5\/4). Suppose -5*b + 17 = 3*o - 2, -q*o = -3*b + 21. What is the third smallest value in -1, l, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -60, -87, -114, -141?\n\"Answer: -27*s - 33","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1 + 2. Let y(r) be the first derivative of -r**3\/3 + 10. Let g be y(x). Sort 3, g, -3 in decreasing order.\nAnswer: 3, g, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b - 2 = -22. Let s be 1*5\/(10\/6). What is the smallest common multiple of b and (s*(-10)\/(-15))\/2?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*t + 3*l - 42 = 0, 29*l - 31*l + 4 = 0 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -137 (base 14) in base 5?\nAnswer: -1440","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 + -21 + (-7 - (7 + -22)).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/3 in 0.2, -2, 3\/4?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*i + 0*i + i)*(13 - 3 + 5)*(i - 2*i**3 + 1 - 1)*(-4*i - 2*i + i).\nAnswer: -300*i**5 + 150*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 85954828?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -q - 2*q**2 + 2 - 2. Let m(y) = y**4 + 5*y**2 + 3*y. Let x = -9 + 14. Let o(v) = x*l(v) + 2*m(v). What is the second derivative of o(k) wrt k?\nAnswer: 24*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 u when three letters picked without replacement from uuiui?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + 5 = 0, 408 = 2*l + 2*v - 8182. Suppose -8*p + l = 2*p. What is the greatest common factor of p and 39?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -54 (b) 4 (c) 2\/13 (d) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + (-53 - (13 + -7)).\nAnswer: -59","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = 3*v - 2*v. Let s be (8\/v)\/(22\/33). Suppose g - 10 = 2*p, 0 = -3*p - 0 - 15. What is the nearest to g in 0.5, s, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -37\/2104 and -37\/265893.\nAnswer: 2127144","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-20)\/(-210)*6\/4. Suppose x - 3 = -4. Which is the biggest value? (a) x (b) -1\/5 (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 18535*l**5 + 35458*l**2 wrt l.\nAnswer: 1112100*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = y - 2*y. Suppose y = -5*i - 45 - 5. Let o = 14 - i. Is o a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 373335441 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -975 divided by 5623\nAnswer: -975\/5623","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -24*h**3 + 68*h**2 + 53*h**3 - 21*h**3 - 68*h**2.\nAnswer: 8*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*q - 15 - 27 = 0. Let f be -3 - (2\/q)\/((-21)\/(-171)). Let y = 0.2 - -0.2. Which is the smallest value? (a) f (b) 0.5 (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1664, 3243, 4822, 6401, 7980?\nAnswer: 9559","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -73*h**2 - 6*h - 454. Determine j(3).\nAnswer: -1129","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0*g - 2*g + 4*g)*(0 + 4 - 5) + 2*g - 2*g + 6*g)*(0*g**3 - 2*g**3 - g**3).\nAnswer: -12*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -34*r + 33*r + 2 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1598209 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: Which is smaller: 613.755 or 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-157 - 156 + 326)*(-3*a + 3*a + 2*a).\nAnswer: 26*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = 6*b + 3. Let x be p(3). Suppose -5*g + 2*g + 42 = 0. Let s = x - g. Calculate the highest common divisor of s and 49.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -b**2 + 10*b + 994. Let n be y(-27). Let c(p) = p**3 + p**2 + p - 1. Let g(a) = 7*a**3 + 5*a**2 + 34*a - 5. Give n*c(l) + g(l).\nAnswer: 2*l**3 + 29*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 416285660?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2074 + 2088. Suppose 2*u + 2*y = -5 + 3, -4*y = 16. What is the remainder when (-4)\/6 + 164\/u is divided by t?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = 8*s**2 - 8*s + 3. Let c(m) = -2*m**2 - 2*m. What is 3*c(k) - l(k)?\nAnswer: -14*k**2 + 2*k - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 12797 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h - 3*h = 5*g + 32, 2*h + 2*g + 16 = 0. Let i be 44\/(-33)*3\/(-2). Let o = i - h. Calculate the highest common divisor of 10 and o.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 35369 take away 826452?\nAnswer: -791083","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 3\/(-2)*(-4 + -16). Suppose -3*n = -n - c. What is the units digit of n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.5 and -81.\nAnswer: 40.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*p + 2*v - 20, -p + 2*v - 2 = -7. Suppose p*j = 3*a + 23, -j + 3*j = -3*a + 5. Calculate the lowest common multiple of -2 - -4 - (2 - 3) and j.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*q**4 - 2428*q**3 + 392620*q**2 - 7211316*q.\nAnswer: 4*q*(q - 293)**2*(q - 21)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 0.2 * -14665\nAnswer: -2933","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -14 in 0.1, -19.19, -9, -3.8, 1?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -k**3 - 5*k**2 - 5*k - 4. Let p be b(-4). Differentiate 1 - 3 - 4*n + p*n + 3*n with respect to n.\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (13 + (-954)\/72)*(-40)\/(-12) - (-53)\/42?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-8 + 14)*4\/6. What is the third derivative of w*m**4 - 4*m**2 - 8*m**4 + 0*m**2 wrt m?\nAnswer: -96*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -28864 - -28858. Let b(q) = 25*q + 17. Let r(m) = -6*m - 4. Give t*b(a) - 26*r(a).\nAnswer: 6*a + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 x, 1 j, and 1 r when four letters picked without replacement from {x: 4, j: 1, b: 1, r: 2}.\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2894?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -38607 or -38713?\nAnswer: -38713","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 158916 a multiple of 323?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 282406, 564814, 847222, 1129630, 1412038, 1694446?\nAnswer: 1976854","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 226683 + 732753 = 36*d. Is d a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -2*p + 7. What is the remainder when 313 is divided by n(-19)?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 less than 18?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*s**2\/8 + 11331*s\/8 + 22758 = 0.\nAnswer: -16, 3793","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 4201 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.0479976 - 0.048. What is k rounded to seven dps?\nAnswer: -0.0000024","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 33 and 214379?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1 - 7. Let u = 16 + p. What are the prime factors of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 789.6974mm?\nAnswer: 789697.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -4*b**4 + 4*b**3 - 5*b. Let u(f) = 8*f**4 - 7*f**3 + 10*f. Let o(c) = 4*u(c) + 7*z(c). What is the second derivative of o(t) wrt t?\nAnswer: 48*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 3120.3429 to 0 dps.\nAnswer: 3120","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o*o*o*o\/((o**(-4)*o*o*o)\/o*o)*o*o)**(-6)*o*o\/o**(-14)*o**(-8)\/o assuming o is positive.\nAnswer: o**(-35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21005 = -71*x - 35058 - 6133. Sort x, 4\/7, 2\/11.\nAnswer: x, 2\/11, 4\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 48 and 156.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Product of 31333 and -1765.\nAnswer: -55302745","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find u such that 2*u**5 - 454*u**4 - 456*u**3 = 0.\nAnswer: -1, 0, 228","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 27149*h**2 + 2*h + 2868160 wrt h?\nAnswer: 54298*h + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -20.457 * -0.15\nAnswer: 3.06855","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -95404*g**4 + 2*g**2 - 167444 wrt g?\nAnswer: -381616*g**3 + 4*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 4153800 rounded to the nearest one million?\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 0.6471761 millennia?\nAnswer: 7766.1132","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -646\/15 - -27853\/645. Calculate the common denominator of 6\/29 and s.\nAnswer: 1247","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 28393220 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c*c**(1\/3)*c**(-2\/19)*c**(-2\/7)*c**(-5)\/c*(c**(-4)\/(c*c**(-1\/3)))**(-8\/13) assuming c is positive.\nAnswer: c**(-11338\/5187)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 5*h**3 + 29*h**2 + 757559*h + 1015929125 wrt h.\nAnswer: 15*h**2 + 58*h + 757559","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 88975?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 + -2 + (0 - 23) + -92 + 83.\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) be the third derivative of 2*s**4 + 7\/20*s**5 + 0*s - 20*s**2 + 6*s**3 + 1\/40*s**6 + 0. Factor i(w).\nAnswer: 3*(w + 2)**2*(w + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(792) - -2*sqrt(792)) + sqrt(792))\/(-6*-1*sqrt(11)))**2.\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*o + d - 5, -4*o = -3*d + 2*d + 5 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = t**3 - 62*t**2 - 1130*t + 11628. Determine n(75).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g - 4*o = -3, -4*o + 4 = -3*g - 19. Put g, -1405, -4, -1, 5 in descending order.\nAnswer: 5, -1, -4, g, -1405","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 286 = -164*x + 1926 for x.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d - d = 56. Let u = 20 - d. Let f = 15 - u. Does 23 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -257863 or -1\/8?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 1, 75 in descending order.\nAnswer: 75, 1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 0.33639 + 0.52913\nAnswer: 0.86552","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 207\/15 + (-3)\/(-15)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(2\/7))**(-3\/37)*j**(-3)*j\/j**(-2\/3) assuming j is positive.\nAnswer: j**(-1054\/777)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i - 7 = 3*x, -3*x = 2*i - 0*x + 13. Let z = 269.5 - 269. What is the closest to i in z, 1, 3?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 423 minutes before 2:54 AM?\nAnswer: 7:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f and 1 w when two letters picked without replacement from ffwffafffafffw.\nAnswer: 20\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 6\/5, 0.5, -9\/4, 2, -176 in ascending order.\nAnswer: -176, -3, -9\/4, 0.5, 6\/5, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) be the second derivative of -3*o**4\/2 - o. Let j(z) = -194*z. Let w(q) = -427*q. Let c(d) = -11*j(d) + 5*w(d). Give c(y(i)).\nAnswer: 18*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -m**3 - 26*m**2 - 38*m - 113. What is the units digit of t(-26)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1, -10, -25, -46, -73, -106?\nAnswer: -145","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = 2*h**2. Let v(c) = 2 - 7 - 24*c + 5. Give t(v(x)).\nAnswer: 1152*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = 23*h**3 - 2*h**2 + 8*h - 8. Let m(j) = 24*j**3 - 2*j**2 + 9*j - 9. Let o(z) = 6*f(z) - 5*m(z). Is o(2) a multiple of 37?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u*u**(-1\/11)*u*u\/((u*u**6)\/u)*u*(u**1\/u)**35*(u**0\/(u*u\/(u**(6\/11)*u)*u))\/(u**(2\/5))**(-4) assuming u is positive.\nAnswer: u**(-107\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*b = 3*z + 26, -b - 116 = -964843*z + 964863*z - 3*b for z.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Total of -292822702626567 and -5.\nAnswer: -292822702626572","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 4463.6 to the nearest one hundred.\nAnswer: 4500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*k - 192*n = -191*n + 57, 5*k - 95 = 5*n for k.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*y - 3*h - 138 = -167, -5*y + 14 = -2*h for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*d + 2*q + 80 + 6, -2*q + 4 = 0. Let o be 1\/d*-2*12. Suppose -5*k + 9*k = 0. Which is the nearest to -1\/4? (a) k (b) o (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -6\/5 or -0.47?\nAnswer: -0.47","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = 2 - 4 + 15*n - 1 + 1 - 16*n. Give t(-14).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -617 + 616.511. Let l = -0.089 - h. Which is greater: l or 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 336 and 54544?\nAnswer: 163632","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.001175661683 to seven dps.\nAnswer: -0.0011757","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -5*x + 2. Let y be o(5). Let u = y - -64. Let m = -8 - -22. Calculate the remainder when u is divided by m.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100110110 - -11001000111110011?\nAnswer: 11001000010111101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00180551557 to 4 decimal places.\nAnswer: -0.0018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 85, 132, 243, 448, 777, 1260, 1927?\n\"Answer: 5*o**3 + 2*o**2 + 6*o + 72","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 177035 a multiple of 1137?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1564, -6244, -14020, -24886, -38836, -55864, -75964, -99130?\nAnswer: -125356","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -59*p + 60*p = 24. Suppose 4*q + 30 = 2*o - 0, -4*q = 4*o + p. Let a = q + 9. Solve -a*b = -2*w - 6, -2*w + 15 = 4*b + b for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = u**3 + 3*u**2 - 2*u. Let a be t(2). Let k = -10 + a. Suppose -k - 86 = -4*s. Is s a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*w + 0*w - w)*(-5*w**3 + 3*w**3 + 3*w**3) + 2*w**3 + 447*w**4 + 8*w**2 - 493 - w - 449*w**4 + 496 to g*w**2 + b*w**4 + d*w**3 + f*w + c and give b.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u = -2*k - 13 - 4, 3*u + 3*k + 3 = 0. Solve -13 = -u*c + 2 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(117)*6)\/(-3*sqrt(36)\/sqrt(4)).\nAnswer: 2*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 3 + 3 + (0 + 1 - 2)*(-3 - 4 + 4))*(-2*o - o + 2*o) + 10*o - o + 14*o.\nAnswer: 21*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -48 - 43*m**2 + 40*m**2 + 28 + 20.\nAnswer: -3*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence eyyy when four letters picked without replacement from eyyyyyeyy?\nAnswer: 5\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 15 - 15. Suppose l + 5*y - 113 = d, 0*y + 284 = 3*l + 4*y. Let m(j) = 12*j**2 + j. Let v be m(-1). What is the highest common factor of l and v?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = 3*v**2. Let u(p) = -473704*p. Determine o(u(y)).\nAnswer: 673186438848*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 48\/12*98\/14?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-15)\/(-45))\/((-14)\/6)?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**(3\/10)\/(q**5*q)*(q\/q**(-7))\/((q**6\/q)\/q*q) assuming q is positive.\nAnswer: q**(-27\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-4)\/(-1) - (49 + -52). Solve -6*p = 31 - n for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -5*p + 7. Let l be (-882)\/(-180) - (-1)\/10. Let o = -369 - -354. Sort l, p, o in increasing order.\nAnswer: o, p, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/(y\/(y**(-2\/3)\/y))*y*y\/y**(11\/3))\/(y**(1\/3))**(-2\/63) assuming y is positive.\nAnswer: y**(-628\/189)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -31\/18 - -17\/9. Factor 0 - w*z**4 - 1\/6*z**2 - 1\/3*z**3 + 0*z.\nAnswer: -z**2*(z + 1)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.4 times 367995.6\nAnswer: -147198.24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (w**2 - w**2 - 4*w**2)*(-1 + 0 + 3 + (2 - 2 - 2)*(-4 - 1 + 4) - 4 + 5 + 0 + 20 + 9 - 19)*(w - 4*w + 5*w).\nAnswer: -120*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 42 + 62. What is the tens digit of n?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1 (b) -11\/4 (c) 2 (d) 0.5 (e) 16 (f) 11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*a**4 + 0*a**4 - 5*a**4 + (-a**3 + a**3 - 2*a**3)*(-3 - 3*a + 3))*(-17 + 7*a + 17)*((2 + 0 - 3)*(-2 + 1 + 0) + 0 + 0 + 2).\nAnswer: 84*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w = -2*w + 84. Let d = 20 - -25. Let f = d - w. List the prime factors of f.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 7, e: 2, w: 3, a: 7}. What is prob of sequence wwa?\nAnswer: 7\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ox when two letters picked without replacement from {x: 4, z: 3, p: 1, u: 6, o: 2}?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -o**2 - 10*o - 6. Calculate f(9).\nAnswer: -177","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence otm when three letters picked without replacement from mfoimtx?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 106*i - 31*i - 59*i.\nAnswer: 16*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 346473358?\nAnswer: 2, 7, 11, 2249827","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -90a - 44?\nAnswer: -94e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4137 by 128.\nAnswer: -4137\/128","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express ((3 - 6 - 1)*(5*u + 4*u - 5*u) + 7*u - u - 2*u - 20*u + u - 5*u)*(-7 - 6*u**2 + 7) in the form v*u + m + l*u**2 + w*u**3 and give w.\nAnswer: 216","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -142375941 divided by 3?\nAnswer: -47458647","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 0 - -121020110?\nAnswer: 121020110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = s - 4*s. Which is the closest to 2? (a) 0.2 (b) s (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 33220 (base 16) to base 8.\nAnswer: 631040","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*z - 2*n + 15 = 16*z, 5*n = 3*z - 15. What is the third biggest value in z, 1\/5, -31, -0.5, 1\/2?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -28 - ((-222 - -210) + (4 - (4 + -11))).\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 4503357.9 milliseconds?\nAnswer: 1.25093275","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1084.\nAnswer: 2, 271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -g**3 - 1509*g**6 + 135*g**4 + 1117*g**6 - 35*g**2 - 70*g**4 + 36 - 65*g**4 wrt g.\nAnswer: -47040*g**3 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -3*p + 4*p + 4*p + 3. Let u(a) = -a**2 - 4*a + 1. Let s be u(-3). Let q(j) = -4 + 6*j - j - 7*j - s*j. Determine 3*q(l) + 4*y(l).\nAnswer: 2*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5685 (base 12) to base 16.\nAnswer: -2585","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 480 and 3.\nAnswer: 480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 4820155 to the nearest integer?\nAnswer: 169","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -17910628 divided by 2\nAnswer: -8955314","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*m**2 + 1 - 1 + (m + 0*m - 2*m)*(0 - m + 0) - m**2 - m**2 + 3*m**2 - 22*m**2 - 18*m**2 + m**2 + (2 - m - 2)*(5*m + 2*m - 5*m).\nAnswer: -37*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*t = -z + 6, 149*t - 656*z + 659*z - 304 = 0 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 250 + -25?\nAnswer: 22b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = 183*t + 1. Let g(v) = -10*v. What is u(g(n))?\nAnswer: -1830*n + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24 + 18 = -3*r. Suppose 5*a - 354 = -r*u - u, -4*a + 590 = 5*u. Is u a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 32096210?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -67*s - 934. Let k be h(-14). Solve k*u - u = 47*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10037 to the power of 1\/4, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 + 0 - 1 - 5*o**2 + 1 in the form v*o + f*o**2 + t and give f.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 3, w: 9, h: 1, m: 3, c: 2}. What is prob of sequence chwd?\nAnswer: 1\/1360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.090226 rounded to 2 decimal places?\nAnswer: 0.09","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 1130528 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 37 - -69. Let y = -94.2 + k. Let p = 12 - y. Is p at most -0.3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vad when three letters picked without replacement from {d: 1, v: 3, a: 1}?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i\/(i\/i**(-3\/5))*i**(-1\/7)*((i*i\/i**(-2))\/i)\/i**(-4) assuming i is positive.\nAnswer: i**(219\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -25\/2? (a) 2 (b) 0 (c) -1\/5 (d) -0.19\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) -3 (b) -1 (c) 1\/6 (d) 2\/9 (e) 1 (f) 366.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (33 - -1) + -1 - (-9 + 28 + -8)?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 285066033 and 366513471?\nAnswer: 2565594297","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -45*z - 6*q + 2*q = -46*z, -2*z + q = 0 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (1 + 5\/10)*2. Suppose 57 = -m*b + 2*b. Let z = b - -133. Is 38 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*k - b - 3 = 0, 6*b = 2*b + 8 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 5, -47, -99, -151?\n\"Answer: -52*d + 57","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -92576379*i**2 + 5854571*i wrt i?\nAnswer: -185152758","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in three fifths of a millennium?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 17\/((-4)\/(-14) - (-20)\/28). Suppose r*x - 19*x + 56 = 0. Is 2 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w + 3*x = 72, -3*w - 3*x - 96 = -7*w. Let m = 26 - w. Suppose m*h = -14 + 114. What is the lowest common multiple of 4 and h?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = 41*y**2. Let a(m) = -144*m**2. Let b(g) = -5*a(g) - 18*t(g). Let f(j) be the third derivative of -j**5\/60 - 1575*j**2. Give f(b(p)).\nAnswer: -324*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express 41 + 37 + 214*r - 79 + 56 - 189*r as q + n*r and give n.\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 177*g*o**3*r + 7*g*o**2*r**2 + 2*o**3*r**2 - 70*o**3*r + o**2*r**2 - o*r**2 wrt g.\nAnswer: 177*o**3*r + 7*o**2*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 35985215.\nAnswer: 5, 7, 1028149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 47505489?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 378083 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 10542089137 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -1*(3 + 0 + (-5 - -2)). Let d(k) be the first derivative of n*k**2 - 1\/5*k**5 + 0*k**4 + 3 + 0*k + 1\/3*k**3. Find the third derivative of d(a) wrt a.\nAnswer: -24*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -10 - -9. Let g be -1*((2 - 3) + d). Solve 3*i = -1 - g for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*n = -3*b + 11*n + 2786, 2758 = 3*b - 2*n. Let o = b - 917. Sort -5, o, 2, 3 in descending order.\nAnswer: o, 3, 2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) be the second derivative of 51*a**8\/8 - 17*a**4 - a**2\/2 + 280*a. What is the third derivative of r(f) wrt f?\nAnswer: 42840*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in seven eighths of a gram?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) be the second derivative of g**7\/2520 - g**6\/360 + g**5\/180 - g**3\/6 - 10*g. Let x(d) be the second derivative of u(d). Solve x(z) = 0.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -2201210 - -13?\nAnswer: -2201131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence blb when three letters picked without replacement from lfpbb?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4\/5, 51, -71.\nAnswer: -71, -4\/5, 51","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -54*p + 90. Does 48 divide r(-33)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -113*p**2. Let u(b) = -92*b - 2. What is u(k(v))?\nAnswer: 10396*v**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.057956 rounded to 4 dps?\nAnswer: 0.058","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1458 - 1447. Solve -15 = x - k for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 11278?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Product of -4 and -0.05.\nAnswer: 0.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -132449140405 from -2.\nAnswer: 132449140403","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 396 is divided by 50.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence brr when three letters picked without replacement from {q: 4, s: 5, r: 1, b: 5}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 11221.54 rounded to the nearest ten?\nAnswer: 11220","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -v**3\/3 - 6178*v**2\/3 - 348779*v\/3 + 722278\/3.\nAnswer: -(v - 2)*(v + 59)*(v + 6121)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l = -15, -q + 5*l - 17 = -2. Suppose -i + 41 = -4*f, q*i + 15 = 3*i. Sort -4, f, -3\/4.\nAnswer: f, -4, -3\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-76 + 49 - 532)*(1 - 1 - 2)*(0*z + 3*z + 4*z) + 5*z - z - 2*z.\nAnswer: 7828*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: ((-4)\/2)\/(63\/(-252))\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -16720, -16726, -16750, -16798, -16876?\n\"Answer: -s**3 - 3*s**2 + 10*s - 16726","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 232 and 43703.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 61558348?\nAnswer: 2, 1753, 8779","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -12418738, -12418716, -12418682, -12418630, -12418554, -12418448, -12418306, -12418122?\n\"Answer: v**3 + 15*v - 12418754","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -9*s**2 + 11*s + 5. Let v = 42 + -37. Let g(j) = -13*j**2 + 16*j + 7. Determine v*g(a) - 7*p(a).\nAnswer: -2*a**2 + 3*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (sqrt(78) - sqrt(78)*-2)\/sqrt(6)*-1 + -4.\nAnswer: -3*sqrt(13) + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (0 - 1\/(-15))*83\/(747\/108). Which is smaller: 420 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (3 - 6) + (14 - 10)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*(v\/((v*v*v**7)\/v*v))\/v*v)**40*v**(-3)*v**(7\/4) assuming v is positive.\nAnswer: v**(-1125\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hhhhuu. What is prob of sequence uh?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 83681.\nAnswer: 13, 41, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -100153 + 1254?\nAnswer: -54455","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*((sqrt(931)*-3)**2 - sqrt(931))*-4 + 0 - (2*(-3 + (sqrt(931) + -4 - sqrt(931))**2) + 3).\nAnswer: -56*sqrt(19) + 67003","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -2815 + -2408?\nAnswer: -5223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 104\/24 + 4\/6. Let h = 7 - d. Suppose -u = -h*u. Which is smaller: u or 2?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-878 - 1515 - 556)*(-5*k + 3*k - k).\nAnswer: 8847*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -129 = -12*g + 255. Let c = 35 - g. What is the smallest common multiple of c and 85?\nAnswer: 255","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.4 (b) -58609 (c) 1 (d) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b and 1 y when two letters picked without replacement from {w: 2, b: 1, z: 2, u: 2, y: 4, g: 1}?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18*v**2 + 943*v - 943*v + 4 - 1.\nAnswer: -18*v**2 + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -193 + 91 + 102 + 2514*y to x*y + d and give x.\nAnswer: 2514","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = z - 3*z + 14. Let b(v) = 165*v - 157*v**2 - 153*v**2 - 180*v - 13 - 155*v**2 + 470*v**2. List the prime factors of b(z).\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine b, given that 4*b**2 - 624206520*b + 24352111225656900 = 0.\nAnswer: 78025815","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2.156 or -51\/2?\nAnswer: -2.156","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -3*a. Suppose -4*q = -2*y - 7 - 1, 20 = 3*q + 2*y. Let z(u) be the third derivative of 0*u**q + 0*u + 0 - 1\/60*u**5 + 0*u**3 - u**2. What is p(z(b))?\nAnswer: 3*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 445.4075 millilitres to litres.\nAnswer: 0.4454075","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2735*o - 2399*o + 5673*o + 139.\nAnswer: 539*o + 139","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 3\/4 at least 13.61?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*r - 6, -s + 14478*r - 14616*r = -271 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 665 (base 8) to base 9\nAnswer: 535","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -4367*m - 8746. What is d(-2)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -10? (a) 0.5 (b) 1 (c) -1\/16 (d) 0.6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b and 3 u when four letters picked without replacement from {b: 2, u: 6, x: 1, l: 1, q: 4, f: 1}?\nAnswer: 8\/273","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (-6)\/(-42)*16\/16*1\/(-1)\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*m = m - 7. Suppose -6 + m = i. Which is smaller: i or 1\/19?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 28240291 and 1306?\nAnswer: 653","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*v**4\/3 + 200*v**3\/3 + 3782*v**2\/3 + 6064*v - 7392 = 0.\nAnswer: -77, -12, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -78*f - 84. Calculate j(-1).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 407.\nAnswer: 11, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*y**3\/11 + 222086*y**2\/11 + 444178*y\/11 + 20190.\nAnswer: -2*(y - 111045)*(y + 1)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1668 is divided by 813.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4327 is divided by 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 32334300 - -32?\nAnswer: 32334332","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -9253, -9108, -8963?\n\"Answer: 145*f - 9398","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -231220 (base 7) to base 14\nAnswer: -11080","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -10*u**3 + 3*u**2 + 5*u. Suppose -2 + 4 = -d. List the prime factors of r(d).\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 501 is divided by 24.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*s + 5*d - 37, 3*s + d = -4*d + 7. Let w be (-16)\/s + (-2)\/3. Suppose 0 = w*u + u. Solve u = -0*z + 3*z + 3 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -f + 2*f**2 - 293*f**2 + 3*f - 2*f to l*f + u*f**2 + x and give u.\nAnswer: -291","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = o**3 - 20*o**2 + 37*o - 188. Determine n(19).\nAnswer: 154","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 8 - 6. Suppose x = q*x. Solve -2*m + 7*m - 2*z - 1 = 0, -3*z - 9 = x for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -44 + -13. Let k = 240 + -152. Let w = j + k. Is w prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -142*u - 80. Let g(q) = 68*q + 1. What is 6*g(p) + 3*s(p)?\nAnswer: -18*p - 234","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 98.8536 years to millennia.\nAnswer: 0.0988536","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1939 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 + 1 - 8)*(1 + 0 + 0)*(-1 + 1 - q) in the form a*q + b and give a.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 2, u: 6, w: 1, b: 2, q: 4, h: 2}. What is prob of sequence xhx?\nAnswer: 1\/1020","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1053) + sqrt(1053) + 5 + -5 - 6*(sqrt(1053) + (sqrt(1053) - (sqrt(1053) + 5 - sqrt(1053)) - sqrt(1053)))**2) + 2.\nAnswer: -6466 + 558*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) be the first derivative of -13*i**5\/60 + 5*i**4\/24 - 17*i**3\/3 - 24. Let o(m) be the third derivative of x(m). Find the first derivative of o(r) wrt r.\nAnswer: -26","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -m**2 + 4*m + 4. Let a(v) = -4*v + 5. Let r be a(0). What is n(r)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/11, -65, 0.09 in increasing order.\nAnswer: -65, 0.09, 2\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -22 and -0.31148.\nAnswer: 6.85256","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1071*q + 252487 = 3634*q - 76770 + 98712 for q.\nAnswer: 49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o = -7 + 1, -5*o - 189421 = -s. Is s a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w = 2*w + 27. Let g = 17 - w. Calculate the least common multiple of g and 12.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 6291, 16091, 29401, 46227, 66575, 90451, 117861?\n\"Answer: h**3 + 1749*h**2 + 4546*h - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1553661533 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + 45 = 3*t, -8*t - 5*d = -9*t + 3. Suppose -5*u - 2*i = -t, i - 5 = 6*i. Let h = 0.5 - 0.8. Put 4, -2, h, u in increasing order.\nAnswer: -2, h, u, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:16 PM and 9:52 PM?\nAnswer: 456","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (i - i - i**2)*(0*i + i + i) - 15*i + 15*i + i**3 + (-6*i + i + 2*i)*(-8*i**2 - 6*i**2 + 9*i**2).\nAnswer: 14*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*y**2 + 3*y**2 + 0*y**2 + (-4 - y + 4)*(4*y - y - y) + 18*y**2 + 23*y**2 + 40*y**2.\nAnswer: 80*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*h**3 + 86*h**2 + 1038*h + 2394.\nAnswer: 2*(h + 3)*(h + 19)*(h + 21)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) be the second derivative of z**4\/12 + 2*z**3 + 11*z**2\/2 - 3*z. Let l be n(-9). Calculate the common denominator of ((-732)\/l)\/(3\/1) and 95\/18.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1023 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 896 is divided by 21?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -2736030 to the nearest one hundred thousand.\nAnswer: -2700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = 2*j - 9. Let r be v(12). Solve 0*d - 4*k + r = d, 0 = -2*d + 3*k - 3 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 141 is divided by 46?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*b + 175405*g + 8 = 175412*g, b = -5*g + 7 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-14*v + 14*v + 10*v**2)*(13*v - 20*v - 11*v + (-v + 1 - 7 + 1)*(-4 + 0 + 5)).\nAnswer: -190*v**3 - 50*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, -3, 5, -701 in increasing order.\nAnswer: -701, -6, -3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = i**4 + i**3 - i - 1. Let x(k) = 6*k**4 + 4*k**3 - 9*k**2 - 16*k - 9. Let p(t) = -x(t) + 5*y(t). Factor p(l).\nAnswer: -(l - 4)*(l + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (-2*(sqrt(637) + 6*-4*sqrt(637) + sqrt(637))*-6*4*2)**2.\nAnswer: 2841366529","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -686471*f**2*m**3 - 4*f**2*m**2 + 6768609*f**2 wrt m.\nAnswer: -2059413*f**2*m**2 - 8*f**2*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (55\/((-6930)\/(-36)))\/(10\/(-56))\nAnswer: -8\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1.5239 - 1.92336. Let l = c + 0.4. Round l to 4 decimal places.\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -t**3 - 9*t**2 - 26*t - 12. What is m(-7)?\nAnswer: 72","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = 0 + 76*z - 8 - 2*z**2 - 83*z + 0*z**2. Determine t(-3).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8388401 - 0.135?\nAnswer: 8388400.865","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -30052905687 - -3?\nAnswer: -30052905684","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*l**3 + 2046*l**2 - 16176*l = 0. Calculate l.\nAnswer: 0, 8, 674","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -6*s**3 - 2*s**2 + 2*s + 34. Let a be h(-7). Suppose a = 2*d + d. Suppose -5*u + d = 5*m - 2*u, 3*m + 4*u - 396 = 0. Does 44 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*x + 3 - 3)*(4 + 2 - 4) - 4 - x + 4 + (x + 2*x - x)*(1 + 1 - 7).\nAnswer: -17*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*o - 114768 = 95166. Let k = o - -1166369\/50. What is the common denominator of 61\/20 and k?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 29 and 3538.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 33131 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 848.674 decades?\nAnswer: 101840.88","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1.3 - -1. Let p(y) = y + 5. Let l be p(0). Which is the closest to w? (a) -0.1 (b) 4 (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 34\/24 - (-1120)\/480. Let u(h) be the first derivative of 1\/2*h**2 + 28 + h + s*h**4 + 1\/3*h**3. Determine u(-1).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 247 - 84. Let u = -85 + x. Is u a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5167110950 to the power of 1\/9, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -25*b**3 + 11*b**2 + 11*b + 11. Let q be 4\/(-18) + (-260)\/(-117) + 0. Let h(u) = 5*u**3 - 2*u**2 - 2*u - 2. What is q*c(a) + 11*h(a)?\nAnswer: 5*a**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 8\/(-2) - (-13 - 140) a multiple of 30?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -3*t**3 + 3*t**2 - 6*t - 4. Let m = -22 + 27. Let f be z(m). Is (f\/(-8))\/((-9)\/(-252)) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 47773551?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 29\/2 of a litre in millilitres?\nAnswer: 14500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 514 is divided by 6.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/l**4*l*l*l**(-5))\/(l**(3\/14)*(l*(l\/(l*l**(3\/13)))\/l)\/l) assuming l is positive.\nAnswer: l**(-907\/182)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -a**3*b*i**2 - a**3 + 45*a**2*b*i**2 + 13*a*b*i - 3*b*i - 2*b wrt i?\nAnswer: -2*a**3*b + 90*a**2*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -144*o - 144*o + 289*o. Let x(j) = -729 + 729 - 158*j**2. Determine i(x(b)).\nAnswer: -158*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 46 is divided by 30.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 3532635 (base 10) to base 2\nAnswer: 1101011110011101011011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 d when four letters picked without replacement from dvdddvdddvdvdvdddd?\nAnswer: 143\/612","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*j**2 - 1418*j + 12924 = 0. Calculate j.\nAnswer: -718, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (l + 3 - 3 + (3 - 5 - 1)*(101 + 29*l - 101))*(-14*l**2 + 8*l**2 + 5*l**2).\nAnswer: 86*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 296142*s**2 + 2*s + 2310765 with respect to s.\nAnswer: 592284*s + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c and 1 y when two letters picked without replacement from {v: 4, c: 2, p: 1, y: 1}.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = 86*c**2. Let b(z) = -205*z**2. What is b(v(a))?\nAnswer: -1516180*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qn when two letters picked without replacement from ibrnnggrrgq.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*s = -357 + 354, 4*g = -4*s - 48 for g.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 1, n: 1, h: 1, f: 1, w: 4}. What is prob of sequence fn?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*q + 4*j = 0, -4*q + 49*j - 6 = 51*j for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.01 - 5.01. Let w = -2.5 - -3.3. Let j = -1.8 + w. Which is the third smallest value? (a) 0 (b) i (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.55 - 311.35. Let b = 311 + f. What is the second smallest value in 1\/2, 0.026, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 62 - 57. Suppose a*x - b - 2*b = -30, -5*b = -25. Put 0.5, x, 2, 5\/4 in increasing order.\nAnswer: x, 0.5, 5\/4, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 553.\nAnswer: 7, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in 49856, -1\/4, -3, -4?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 30216479?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand -9*z**3 + 32*z**3 + 3*z**3 + (-z - 3*z**3 + z)*(7 + 2 - 2) - z - z**3 + z.\nAnswer: 4*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Product of -2.091 and -10682.\nAnswer: 22336.062","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 72 is divided by 11?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*sqrt(85)\/sqrt(5) + sqrt(17) - (sqrt(2057) + 0 + sqrt(2057)).\nAnswer: -17*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 125502647?\nAnswer: 125502647","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1559?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) be the third derivative of -i**6\/140 - i**5\/30 + 4*i**3\/21 + i**2. Determine g, given that n(g) = 0.\nAnswer: -2, -1, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 7, u: 2, e: 1, z: 2, v: 8}. What is prob of picking 1 e, 1 v, and 2 u?\nAnswer: 8\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) be the second derivative of -r**4\/12 - 11*r**3\/6 - 4*r - 11. What is j(-13)?\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (1\/3)\/(11\/16401). Suppose 26*r - 19*r = j. What is the units digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1.9 - -2. Let u = 0.9 - j. Let y = u + -0.7. Which is smaller: -1\/2 or y?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1569235.6 rounded to the nearest one thousand?\nAnswer: 1569000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = w - 12. Let r be j(8). Let n be -4 + 3 + r + 16\/4. List the prime factors of (0 - n)*0 + -1 + 76.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 303 is divided by 63?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 175424180 divided by 35084836\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1379 = 4*z + i, 27*z = 24*z + 4*i + 1020. List the prime factors of z.\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = p**2 + 23*p + 91. Suppose -4*h = -2*d - 4, -14 = -d + 24*h - 20*h. Calculate c(d).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 f when four letters picked without replacement from {v: 2, f: 1, q: 1, m: 3, o: 6}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*n - 441 = -25*n. Let w = -425 - -596. Calculate the greatest common divisor of w and n.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ffcf when four letters picked without replacement from {f: 3, c: 4}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = d**2 + 7*d - 2. Let r be h(-9). Let k be 1\/4 - 36\/r. Sort 5, 1, k.\nAnswer: k, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 17409*104\/90636 - 20.\nAnswer: -2\/83","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g and 1 w when two letters picked without replacement from gnwyqrrw?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -81810 (base 11) in base 14?\nAnswer: -31754","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (10\/8)\/(2\/8). Suppose -f - 7 = 4*v. List the prime factors of ((-2)\/4)\/(v\/42).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -91 + 60 - 6447\/(-210)?\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iimihwwiiiwiimimmicw. Give prob of picking 1 i and 1 h.\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/5, 7, -7, -5.\nAnswer: -7, -5, -2\/5, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -5.8552618 from 11054.\nAnswer: 11059.8552618","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**7*b*b**16*b)\/((b*b**(1\/5))\/(b**(-3)*b*b)))**(-1\/36) assuming b is positive.\nAnswer: b**(-19\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(-3 + sqrt(19)) - -5*sqrt(19)*1.\nAnswer: -15 + 10*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -387 + 412. Let p = g - 24.998967. What is p rounded to four decimal places?\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = 1109*u + 341593. Calculate c(-308).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) be the first derivative of 10*r**6\/3 + 15*r**2\/2 - 23. What is the second derivative of t(q) wrt q?\nAnswer: 400*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 17238037?\nAnswer: 79, 113, 1931","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1782 and 110.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1876466?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 621.\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-11 - (-146)\/10)*(-50)\/(-45). Solve 9*v = 13*v + 2*b - 6, 4*v + 4*b + z = 0 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 divided by -16899238\nAnswer: -1\/16899238","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*y + 5*y + 271 = h - 10*y + 19*y, 2*h - 12*y = 650 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) be the second derivative of v**4\/4 - v**3 + 7*v**2\/2 + 14*v. Let z(d) = d**2 + 1. Let p(r) = c(r) - 2*z(r). What is p(6)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) be the second derivative of -v**4\/12 - 4*v**3\/3 - 3*v**2 + 6*v. Calculate d(-6).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = 23*g - 16. Determine w(1).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) 3 (b) -5 (c) -1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y + 0*x + 4*x - 12 = 0, -5*y - 3*x = -23. Suppose -y = -4*t + 4. What is the lowest common multiple of 4 and (t\/1)\/(3\/12)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -o**3 - 2*o**2 + 10*o + 14. Let f be z(-4). Find the third derivative of 0*t**5 + 86*t**f - 83*t**6 - 23*t**5 + 20*t**2 wrt t.\nAnswer: 360*t**3 - 1380*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-39)\/(-11) - 390\/715. Let o(c) be the third derivative of 0*c**p + 7*c**2 - 1\/12*c**4 + 0*c + 0. Let g(q) = 2*q**2. Calculate g(o(u)).\nAnswer: 8*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -7*x - 3. Let s be w(-4). Suppose -416 - 34 = -9*i. Calculate the highest common divisor of s and i.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 896 is divided by 271.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1.9, 0.1, 0.3?\nAnswer: 1.9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 3\/(-12)*8\/(-6)*1. Let x = 13 + -15. Let m = 1509\/11 + -137. Sort m, t, x in increasing order.\nAnswer: x, m, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 - 145176.\nAnswer: -145170","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 40\/(-54)*402\/268?\nAnswer: -10\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 106 a factor of 1312386?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -713*a + 2735 = -3682 for a.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:06 PM and 1:37 AM?\nAnswer: 211","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 21979 is divided by 22?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f, 2 n, and 1 w when four letters picked without replacement from wjnarfn.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = 679*h**2 + 16*h - 11. Let u(m) = -679*m**2 - 20*m + 13. Calculate 5*a(p) + 4*u(p).\nAnswer: 679*p**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.2931 - 0.2531. Which is the nearest to -0.15? (a) -4 (b) 0 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 253237448 to the power of 1\/7, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence iw when two letters picked without replacement from {w: 7, i: 9}?\nAnswer: 21\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8549, -4, 0.5, -1.\nAnswer: -4, -1, 0.5, 8549","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b*b\/(((b\/(b\/(((b\/(b\/(b**(-8)\/b))*b*b)\/b)\/b*b))*b)\/b)\/b*b))\/(b**(5\/4)*b) assuming b is positive.\nAnswer: b**(31\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -198 + 179. Let h(k) = k**2 + 6*k - 2. Let t be h(-7). Put 2, d, t in descending order.\nAnswer: t, 2, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = o**2 + o - 17. Let s be i(-5). Which is the second biggest value? (a) s (b) -2\/19 (c) -4 (d) 1\/6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 + 2 - 8*i + 0*i - 1.\nAnswer: -8*i + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -2\/15, 3, -0.05, -308, 1\/3, -0.4?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*g + 4*f + 12, 0 = -10*g + 5*g + 4*f + 18. Suppose -4*y + y = -g. Suppose -4 = -2*c + y. What is the remainder when 4 is divided by c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2\/3, 1, 9\/7, -0.2, 3\/7?\nAnswer: 9\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8, 12, -9 in increasing order.\nAnswer: -9, -8, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find l, given that -3*l**3 - 36*l**2 - 108*l = 0.\nAnswer: -6, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (2\/8 + 0)*(-171 + 170). Which is the third biggest value? (a) 0.078 (b) 0.4 (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 7908479?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (23*b**4 + 104*b - 104*b)*(-2*b + 3*b + 0*b) - 4*b**5 + b**5 + b**5 - b**5 + 0*b**5 - b**5.\nAnswer: 19*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 23*h - 40*h**3 - 13*h**2 - 8*h + 13*h**2 wrt h.\nAnswer: -240*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y = 3*v - 8, 16 = 2*v + 3*y + y. Let a be 1\/(-7) - (-26)\/(-14). What is the third smallest value in -5, v, a?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 343571650 to the power of 1\/2, to the nearest integer?\nAnswer: 18536","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 397 - 785 = -95*w + 3222 for w.\nAnswer: 38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i - 165 = -11*i - i. Calculate the highest common factor of 235 and i.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -p. Suppose 5*z = 5*w - 35, -27 = -55*w + 52*w + 4*z. Let m(k) = 48*k. Let s be (-1128)\/(-28) + (-2)\/7. Calculate s*a(c) + w*m(c).\nAnswer: 8*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (15\/(-30))\/(1\/(-46)). Let r = 53 - a. Let v = -44 + r. Is -13 smaller than v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 543 minutes before 5:16 PM?\nAnswer: 8:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (244 + 61*n - 244)*(28 - 56 + 30)*(2*n**2 - n**2 + n**2).\nAnswer: 244*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (30\/6*69\/(-414))\/(-15).\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9856 - 9856 + v**3.\nAnswer: v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = 3*u**2 - 9*u + 7. Determine f(7).\nAnswer: 91","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 2\/3 (b) 2\/61 (c) 8 (d) -10 (e) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 + 1280*t**3 - 2556*t**3 - 1 + 1278*t**3.\nAnswer: 2*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4 in 6, 111.5, 21?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -206 + 206. Solve 3*r = -2*g - 5, -g - 2*r - 4 = -z*r for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = 3000*c**2 + 73*c + 70. What is the remainder when u(-1) is divided by 999?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) be the third derivative of -q**5\/60 - q**4\/24 - q**3\/6 - 818*q**2. Let l(u) = -5*u**3 + 6*u**2 + 7*u + 6. Give 6*f(b) + l(b).\nAnswer: -5*b**3 + b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-40)\/64)\/((-1)\/16)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = 336*w - 209. Determine f(1).\nAnswer: 127","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2.03 - 0.03. Let q(s) = -2*s**2. Let o be q(-1). Let m = -3367\/13452 - -1\/3363. Which is the nearest to m? (a) o (b) -5 (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1 and -4850.\nAnswer: 4850","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -253116 to the nearest 10000.\nAnswer: -250000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*h**2\/9 + 13341956*h\/9 - 22250973738242\/9.\nAnswer: -2*(h - 3335489)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -186362.316006438+-2\nAnswer: -186364.316006438","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 302 is divided by 145.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = 2*u**2 + 25*u - 16. What is the lowest common multiple of f(-16) and 120?\nAnswer: 480","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 16*g**3*y - 57*g**3 + 5*g**2*y wrt y.\nAnswer: 16*g**3 + 5*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -13 (base 13) in base 6?\nAnswer: -24","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*d**3 + 326*d**2 + 1580*d.\nAnswer: 2*d*(d + 5)*(d + 158)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 31557889277 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -780, -1366, -1950, -2532?\nAnswer: -3112","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + -24 + 221 + -201?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -x**3 - 7*x**2 - 209*x + 3789?\nAnswer: -3*x**2 - 14*x - 209","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 31507 and 245.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -469.7 + 468.7. Which is the nearest to -1\/3? (a) k (b) -5 (c) 0.7 (d) 1\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.02826087396 rounded to 3 decimal places?\nAnswer: 0.028","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 213764 is divided by 53434.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -q**2 + 13*q - 10. Let z be x(10). Suppose 5*f = -0*f + z. Solve 1 = -f*y - 11 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 5.63 + -5.4. Let t = 0.058 + 0.172. Let f = l - t. Which is the closest to f? (a) -0.5 (b) -4 (c) 3\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 909419 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 574182514*r**3*s + 2*r**2*s - 2*r**2 + 787*r*s - 12*r + 312*s - 1 wrt r?\nAnswer: 3445095084*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 11, 1, -2.\nAnswer: -2, 1, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in -6, -20, 3.1, 0, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -5311 and -5.\nAnswer: 26555","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -240 - -244. Suppose -11*i = d*i + 15. Let g(v) = -26*v**3. Give g(i).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16765104 divided by 4191276.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 105\/(-22) + 1 - 0 and (-3032)\/(-480) - 2\/3?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -35*t**3 - 2284*t**2 + 751*t**2 + 755*t**2 + 778*t**2.\nAnswer: -35*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/5, 18421, 4, 8, 0 in increasing order.\nAnswer: -2\/5, 0, 4, 8, 18421","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 184\/(-138)*(-9 - 3). Solve -10 - z = -13*y for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -20949\/7 - -2987. Calculate the common denominator of q and 61\/12.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 600585046.\nAnswer: 2, 300292523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*y + 2*y + 60. Suppose -y*i + 8*i = -96. Suppose 4*t + 4*g - i = 0, -3*t + g + 3 = -3. What is the least common multiple of 6 and t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 100742?\nAnswer: 2, 17, 2963","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -8.393 take away -0.27?\nAnswer: -8.123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -783.7269 - 285517.\nAnswer: -286300.7269","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -540*p**3 + 6169*p**3 - 2*p + 2*p.\nAnswer: 5629*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c = 2*q - 101, 0 = -2*c + 3 - 5. Suppose -53*o + q*o = -1215. Is 47 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = 17*q**3 - 4*q**2 + 4*q. Let z(y) = -120*y**3 + 27*y**2 - 27*y. Calculate -27*n(v) - 4*z(v).\nAnswer: 21*v**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Total of 13.3 and 23.\nAnswer: 36.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -906503 - -906506. Find d, given that 0*d**2 + 0*d + 0 - 1\/5*d**y + 1\/5*d**4 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1496\/279297 > 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*o + 4*s - 11, -7*s + 8*s + 16 = 5*o for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 50 + -27. Solve -f = -4*x - 3 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*a**2 - 3724*a + 3728.\nAnswer: -4*(a - 1)*(a + 932)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(264) + (sqrt(264) - (-1*sqrt(264)*5 - sqrt(264))) + 2*sqrt(264)*-3)\/(3*sqrt(726)*1*3))**2.\nAnswer: 16\/891","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6469?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(sqrt(405) - sqrt(405)*2) + 1 + ((sqrt(250)\/sqrt(5))\/sqrt(10) + sqrt(5))**2 + sqrt(20)\/(sqrt(4)*-1).\nAnswer: -19*sqrt(5) + 21","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 13232 by 2526.\nAnswer: 6616\/1263","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -39*a**2 - a - 48*a**2 + 7 + 88*a**2 to the form i*a**2 + q + j*a and give q.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 30934, 31297, 31902, 32749, 33838?\n\"Answer: 121*d**2 + 30813","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 671925 divided by 2\nAnswer: 671925\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 986 - 861. Suppose 0 = -2*h + h + 109. Let j = m - h. Is j a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 11011111 and 1121?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1497 is divided by 371.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -372*z**5 - 2*z**4 + 92*z**3 + 391395*z.\nAnswer: -7440*z**3 - 24*z**2 + 552*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 1, b: 2, k: 2, v: 1, w: 1}. What is prob of sequence wb?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-19)\/(-76))\/(1\/8). Suppose 4*u + 74 = 98. Suppose 0*w - u*w = w. Put w, 1, f in increasing order.\nAnswer: w, 1, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = z**3 - 24*z**2 + 165*z + 121. What is g(22)?\nAnswer: 2783","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -335024, -1340272, -3015748, -5361452, -8377384, -12063544?\nAnswer: -16419932","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/8*2\/(-4)?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 30*j**4 + 99185*j**3 + 109312890*j**2 + 40166412300*j + 6691366040.\nAnswer: 5*(j + 1102)**3*(6*j + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide 71799 by -7.\nAnswer: -10257","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (-5 - 713\/62) + 26\nAnswer: 19\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*a**2 - 65*a**3 + 2*a**2 - 3*a**2 + 69*a**3.\nAnswer: 4*a**3 + a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from cmccccmmccccccc. Give prob of picking 4 c.\nAnswer: 33\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -21*h - 337. Give m(-16).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 54958435 to the power of 1\/7, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put -148, 229943, 1\/4 in ascending order.\nAnswer: -148, 1\/4, 229943","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 1883390351 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -45, -30, 7431.\nAnswer: -45, -30, 7431","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1875*v**2 + 55303 - 55303.\nAnswer: 1875*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = 2*l**3 + 105*l**2 + 155*l + 542. Let x be o(-51). Solve -x*h + 105 = -455*h for h.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*g + 140 = -12*g for g.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(-3 + sqrt(288) + 1)**2 + 5 - ((sqrt(6) - (-1*sqrt(66))\/sqrt(11)) + sqrt(6))\/(sqrt(12)\/sqrt(4)*5).\nAnswer: -1747 + 1437*sqrt(2)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 65*m - 27*m - 330*m + (-3 + 0 + 8)*(-2*m + 0*m + 0*m) - 3 + 3 + m to the form u + l*m and give l.\nAnswer: -301","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*k**2 - 29015*k - 87090 = 0 for k.\nAnswer: -3, 5806","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 8730732 to the nearest integer?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + -7 + 2 + (2 - -1).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve o + 0 - 3 = 0 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = 4*j**2 + 5*j - 5. Suppose -3*h + 20*z = 19*z - 1, 3*z - 6 = 0. Calculate v(h).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c, 1 l, and 2 y when four letters picked without replacement from {y: 11, l: 1, i: 4, c: 3}?\nAnswer: 55\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((x**7*x)**(-36))**(1\/26))**(-2\/29) assuming x is positive.\nAnswer: x**(288\/377)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -3*t, -3*w - 2*t = -0*t - 3065. List the prime factors of w.\nAnswer: 1019","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -c**3 + 5*c**2 + 50*c - 9. Suppose 33 - 263 = -23*h. Determine w(h).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 390401 is divided by 324?\nAnswer: 305","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5 - -2) + -3 + 1 + 0.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 47617922 to the power of 1\/2, to the nearest integer?\nAnswer: 6901","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -5*v + 3. Let j(l) = 6*l - 2. Let g(d) = -3*j(d) - 2*x(d). Let w(p) = -p**2. Give w(g(n)).\nAnswer: -64*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -25, -14, 1, 20, 43, 70, 101?\n\"Answer: 2*f**2 + 5*f - 32","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.03 - 0.1. Let z = 0.03 - w. Which is the biggest value? (a) 4 (b) z (c) -1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 14294\/3 - 4765. Which is the third biggest value? (a) h (b) 3.5 (c) -0.6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -4224*v. Let r(t) = -2*t**2. Give p(r(n)).\nAnswer: 8448*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 172019 is divided by 11464.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18*c + 14*c + 11*c - 355*c**2 - 17*c + 353*c**2 - c.\nAnswer: -2*c**2 + 25*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -102652.2 to the nearest 10000.\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -34.9518611 and -5?\nAnswer: 29.9518611","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*b + 11*v + 16, -621*b - 3*v = -616*b - 2 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Work out -114.5364695 - 0.01.\nAnswer: -114.5464695","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*(sqrt(112) + sqrt(112)*2) + -2 - (6*sqrt(112)*-2 + sqrt(112) - 3*sqrt(112)*-2))*-4)**2.\nAnswer: 1024*sqrt(7) + 28736","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 77653, 155606, 233559, 311512?\nAnswer: 389465","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ouyoyxd. What is prob of picking 1 y and 1 o?\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -229*x + 87*x**2 + 31 - 96*x - 32 wrt x.\nAnswer: 174","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1738 (base 15) to base 12\nAnswer: 2a8b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**(-47)\/((g\/(g*g*g**(-39)*g))\/g) assuming g is positive.\nAnswer: g**(-83)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -v - 18. Let l be p(-11). Suppose -c + 4 = 0, 3*c = r + 5 - 1. Let u = l + r. Solve -u - 5 = 2*k for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine t, given that 3\/5*t**2 + 30*t - 153\/5 = 0.\nAnswer: -51, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-3\/2))**48*v**(-10)*v**(-11\/5) assuming v is positive.\nAnswer: v**(-421\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -32 - ((-2086)\/(-38) - (-350)\/3325).\nAnswer: -87","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3 - 0. Let q be 1\/m + (-3)\/(-9). Suppose -v - 19 = 5*w, 3*v = -q*v - 5*w - 7. Solve r - v*r - 25 = 0 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 164?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1100101011 (base 2) to base 6.\nAnswer: -3431","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 1346, 2768, 4286, 5948, 7802, 9896, 12278?\n\"Answer: 8*t**3 + 1366*t - 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*r + 12 = -j, -326*r = -328*r + 4*j + 24 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 6823 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 30256?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does -1924 = 2.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 20 + (21 - 43) - (0 + 6).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:13 PM and 4:49 PM?\nAnswer: 36","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 5599.638l?\nAnswer: 5599638","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -22 take away 26?\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express (12*h**2 - 6*h**2 + 6*h**2)*(-4*h**2 + 2*h**2 - 2*h**2) + h**2 - 2 + 2*h**4 + 2 as q + f*h**4 + r*h**3 + n*h**2 + b*h and give f.\nAnswer: -46","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 56 and 364.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -6*y + 134. Let w be x(22). Let u(p) be the first derivative of 5*p**4\/2 + p**2 + p - 1. Is u(w) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 4*b**3 + 4 + 0*b**3 + 2*b**3 with respect to b.\nAnswer: 18*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.762 times -4?\nAnswer: 3.048","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 64153.\nAnswer: 64153","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 584058979.\nAnswer: 7, 11919571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.01 (b) 0 (c) -1.08 (d) -2\/7 (e) -3 (f) -18\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r + 4 = -3*r. Factor -o - r*o**2 - 4*o**4 + o**3 - 2*o**2 - 7*o**3 - o**5.\nAnswer: -o*(o + 1)**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = h**3 - 4*h**2 - h + 11. Is n(5) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 21\/2 + -65\/6. Let f(g) = -6*g**2 - g. Let z = 3 - 4. Let j be f(z). Is j bigger than b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 279, -5, -12\/5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -4 + -39?\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -64*g**3 - 259*g**2 - 25*g + 12. Calculate j(-4).\nAnswer: 64","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = 5*j**2 - 13*j - 2. Let b(k) = k**2 - 3*k + 1. Calculate 4*b(z) - s(z).\nAnswer: -z**2 + z + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = s**3 - 8*s**2 + 14*s - 39. Calculate the lowest common multiple of 10 and v(7).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 38*t - 36*t + 1 = u, 3*t = 4*u + 11 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 110d - 461db?\nAnswer: -450cc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -1, 23, -3 in ascending order.\nAnswer: -3, -1, 4, 23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3278375, 6556738, 9835101, 13113464, 16391827?\nAnswer: 19670190","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -172 - -173. Solve 7 = -4*i - n for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 5 - 1604. Which is smaller: x or -1596?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -49 - -83. Suppose 3*u = f - 7. Solve 3*v + u = 3 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*k - 5*i = 6, 10*k - 5*i = 15*k + 30 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:13 PM and 3:19 AM?\nAnswer: 546","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 3, t: 9}. Give prob of sequence trt.\nAnswer: 9\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 9, 2, -1 in increasing order.\nAnswer: -1, 2, 4, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 191*t = 283*t - 1582308. Does 7 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 44683789 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -20021102 + 210121?\nAnswer: -12110211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (14 - 0) + (5160 - 5171) + 0 + (-45 - -2)?\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 49342 (b) -1 (c) 4 (d) 51\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w - 4 = 4*o - 21, o - 2*w = -4. Suppose 9*m + o*h = 4*m + 6, -8 = 4*h. Let b(g) = 3*g**3 - 4*g**2 + 2*g + 1. Determine b(m).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 180825019?\nAnswer: 43, 4205233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -2, 3, 10, 19?\n\"Answer: c**2 + 2*c - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -16 - (-2 + -24)*1. Calculate the greatest common factor of 164 and y.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -25 (base 7) to base 12.\nAnswer: -17","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12 = -3*x + 5*r, 4 = -2*x - r - 1 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -x**3 - 10*x**2 - 3*x - 10. Let y(w) = 3*w**3 + 29*w**2 + 10*w + 29. Let a(f) = 11*v(f) + 4*y(f). What is a(-5)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -23141 - -23685. Calculate the highest common factor of d and 1312.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g - 210 = y - 4*y, 2*y = -5*g + 146. Calculate the remainder when 264 is divided by y.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 46 a factor of 9325?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 742.3102l?\nAnswer: 742310.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -62*y**3 - 4*y**2 + 4*y + 1. What is a(1)?\nAnswer: -61","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 1, 0.2, -1, 3034, 0, 186, 2\/5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -4*b + 6. Let g be (-2 - 1) + 4 + 4. Calculate q(g).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -i**2 - 6*i - 3. Let w = -5 + 0. Let t be g(w). Find a such that 32\/3*a**3 - 22\/3*a**t + 4\/3*a - 14\/3*a**4 + 0 = 0.\nAnswer: 0, 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z + 2*g = -1187, -5*g = -5*z + 8*z - 737. Is 16 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 699692611 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l and 3 b when four letters picked without replacement from {u: 1, b: 5, l: 9, f: 1}.\nAnswer: 9\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (11\/(-3))\/(4\/(-12)). Suppose -5*u + 5 = 0, 4*w - u + 0*u - r = 0. Let v be 6 + (8\/(-2))\/2. Solve -6 = -v*g + x + x, -w*x - 9 = -4*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 896 to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 336376 to the nearest integer?\nAnswer: 580","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 182 is divided by 37?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 943?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -61\/16121 and -15\/3248.\nAnswer: 7480144","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 51.11064 weeks?\nAnswer: 357.77448","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = 50*y - 3. Is s(10) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (5 - 3 - 4 - (13 - 46)) + -2\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -195f - 1d?\nAnswer: -197c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1979 = -348*c + 457 for c.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 1 + -1bed7a?\nAnswer: -1bed79","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from sssssgg. Give prob of sequence sg.\nAnswer: 5\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 52523 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o*(o\/(((o**(-1\/3)*o)\/o)\/o*o))\/o)\/o)**(-9)*(o*o**(-1\/7))**40 assuming o is positive.\nAnswer: o**(219\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1288838565?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 1540?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 638598.6 rounded to the nearest ten thousand?\nAnswer: 640000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from oeoeoovevvv. Give prob of picking 4 v.\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -18347 or -18345?\nAnswer: -18347","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1090548327?\nAnswer: 3, 11, 43, 269, 2857","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i = 2*x, 10*i - 5*x = 9*i - 13. Let u(q) be the second derivative of 1\/6*q**4 - 1\/10*q**5 + 0*q**i - 6*q + 0 + 0*q**3. Let u(p) = 0. What is p?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence eeyz when four letters picked without replacement from {e: 10, y: 4, z: 2}.\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 21866 is divided by 911?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 345 - 209. Suppose -188 = -4*w + l. Let n = -161\/2 + w. Which is the biggest value? (a) -1\/4 (b) 0 (c) -4 (d) n\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -19 + 61. Let w = 73 - j. List the prime factors of w.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1 + 7. Let d = k - 8.00000015. What is d rounded to 7 dps?\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 1 and -2306\/76481 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000051297 rounded to five dps?\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 4\/3, -4, 3, -2\/95, -2, 0.06?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -26140 divided by 5.\nAnswer: -5228","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (39 + -39 - (-2)\/(-8)) + 58\/8. Let q be (-2)\/4*(-1 - 1). Calculate the highest common factor of m and q.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 - (-5 + 10 - 8) - (9 - (-15 - 85)).\nAnswer: -101","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1090\/11 - 99. Let v = -0.2308 - -0.3308. Which is the closest to v? (a) z (b) -0.2 (c) 3 (d) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*x**3\/5 - 6292*x**2\/5 - 2518*x - 6296\/5.\nAnswer: 2*(x - 3148)*(x + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 5123, 10258, 15405, 20570, 25759, 30978, 36233?\n\"Answer: n**3 + 5128*n - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = j + 22. Let b = 41 - 52. Let p be r(b). Suppose -4*f - p = -s, -2*f - 14 = 5*s + f. What is the third smallest value in s, 10, 0?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-330)\/(-231))\/((-15)\/(-63)).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 u when two letters picked without replacement from {n: 5, u: 2}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (6\/10)\/(-12*(-2)\/80). Let t be (-3 + v)\/(-3 + 25\/8). Let j be (0 - t\/6)*18\/4. Solve -j = n + 2*n for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -83438856 divided by -20859714.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 50864 is divided by 64?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = 13*a + 24. Let m(o) = -22*o - 47. Give -5*i(v) - 3*m(v).\nAnswer: v + 21","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1720795*n**4 + 9506100*n**2.\nAnswer: 41299080*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = 41*g**2 - g - 3. Suppose 10 = -2*j - 3*j. Is n(j) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = y**2 + 3*y - 15. Let h be g(3). Solve 0 = v + 2*v + h*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + -2 + -3*(sqrt(252) - -6*(0 + sqrt(252))) + -1*(sqrt(252) - -4*(sqrt(252) + 1*sqrt(252) - sqrt(252))))**2.\nAnswer: 1248*sqrt(7) + 170368","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Are -14873 and -14868 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 12 + -10. Let j be ((-12)\/10)\/(6\/(-15)). Let c be (-1)\/r*(-1 + j). Are c and 1 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) be the second derivative of i**4\/12 + 7*i**3\/6 - 29*i**2\/2 + 6*i - 4. Is 5 a factor of z(14)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (8\/(-6))\/((-8)\/(-12)). Put 5, b, -4 in descending order.\nAnswer: 5, b, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4)\/14 - (-6 - 47\/(-7)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 65428357 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -84*x + 293*x - 90*x - 102*x.\nAnswer: 17*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 3007 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*j**2*s**3 + 4*j**2*s**2 - j**2*s + 13119*j**2 - 18*j*s - 1481*s**3 wrt j?\nAnswer: -4*s**3 + 8*s**2 - 2*s + 26238","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pf when two letters picked without replacement from pfpffppfpfpfpfpffp?\nAnswer: 9\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - 4 = 2*k - x, 4*k - 20 = -5*x. Let r(i) = i**2 - 96. Let d be r(k). What are the prime factors of 0 + 1 - (d - (2 - 1))?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1.37 - -0.07. Let i = 0.9 + j. What is the nearest to -0.2 in 3, i, 0.1?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -2.44 and -0.1.\nAnswer: 0.244","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -5 - 158?\nAnswer: -163","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 840 minus 869.49?\nAnswer: -29.49","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 7, b: 12}. What is prob of picking 1 g and 1 b?\nAnswer: 28\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 48806?\nAnswer: 2, 23, 1061","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/18*30483\/9032\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6 - (5 - (19 - 14)) - (-1 + 4).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 54*(2\/4 - 1). Let n = m + 32. Suppose 5*b + 19 = u, 0*u + 211 = n*u + 4*b. Calculate the lowest common multiple of 10 and u.\nAnswer: 390","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 130.1634238 rounded to the nearest integer?\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 132885*d**4 + 2*d**2 + 9*d - 633 wrt d.\nAnswer: 3189240*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5\/(-3) - 5355\/(-4590).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*j - 4*g - 10, 3*g + 15 = j + 2*j. Solve 5*k = x - 27, 3*k = j*x - 14 - 11 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 148 plus 0.25?\nAnswer: 148.25","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = p**3 - 3*p**2 + p + 4. Let o be n(3). Let g be o*2 - (-3 + 2). Suppose -33 = -4*j + g. Solve -7 = -a - 2*a - 4*u, 0 = 3*u - j for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 415 is divided by 13.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dnida. Give prob of sequence ani.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2 + -1. Let j(b) = 9*b + 1. Let f be j(q). Calculate the greatest common divisor of f and 50.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7 - (-7 - -7 - 21).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -b**5 + 827*b**4 - 3292*b**3 = 0.\nAnswer: 0, 4, 823","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*w = -7*w + 5 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1114 - 1109. Put 0, 4, 32, y in increasing order.\nAnswer: 0, 4, y, 32","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*sqrt(720)*1 + sqrt(720))\/(2*sqrt(100) + (sqrt(4) - (sqrt(16) + sqrt(16)*-2 - sqrt(16)))).\nAnswer: -6*sqrt(5)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -m**2 - 6*m + 1. Let k(y) = -y**2 - 7*y + 1. Determine -4*f(u) + 3*k(u).\nAnswer: u**2 + 3*u - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 + 2*a + 1)*(-5 + 2 - 2) - 2 + 29*a - 64*a + 32*a in the form q*a + d and give d.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.34087 and -1634.\nAnswer: 556.98158","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -19*g**3 - 2*g**2 + 6*g - 1. Let y(b) = 56*b**3 + 6*b**2 - 16*b + 5. Determine 8*n(r) + 3*y(r).\nAnswer: 16*r**3 + 2*r**2 + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -28.65 - -29. Let v = 0.15 - u. Let n = 4.959 - -0.041. Sort 12\/5, n, -5, v.\nAnswer: -5, v, 12\/5, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 27 + -28. Let i = p - -1.4. Which is the nearest to 6? (a) i (b) 4 (c) 1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -12 (b) 2 (c) -1372\/363\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (2\/7 + 76\/28)*1. Suppose 107*u = 104*u + h. Which is greater: u or -1\/79?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.09 + 0.91. Let h be 5 + (1 - (1 + 2)). Suppose 18 = -2*y + 2*j, -h*y + 3*j = 2*j + 17. Which is the closest to r? (a) 0.5 (b) y (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) be the first derivative of 674*z**5\/5 + 17*z**3\/3 - z**2\/2 + 12*z - 445. What is the third derivative of n(d) wrt d?\nAnswer: 16176*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 j when two letters picked without replacement from {j: 2, x: 1}?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 141\/340 + -1\/68. Let u = 6 - 3. Suppose 2*w - 9 = u*z + 9, -5*z = -4*w + 32. Which is the closest to 1? (a) z (b) -0.2 (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 385 + 208. Suppose -w = -4*f + y, -2*f - 3*f + 4*y = -744. Does 3 divide 2\/(-7) + f\/28?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -s + 19 = 15 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 - 12 - 5)*(2*i - 3*i + 4*i + (0*i - 3*i + 2*i)*(-3 + 1 + 3) + 2*i + 0*i - i) in the form l + s*i and give s.\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 11670 and 25212?\nAnswer: 49037340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 506 - 470. What is the least common multiple of z and 164?\nAnswer: 1476","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -g**3 + 19*g**2 + 400. Let q be m(20). Put q, -884, 1 in decreasing order.\nAnswer: 1, q, -884","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3027.7 - 3027.6979987. What is o rounded to four dps?\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y = -5*s + 25, 3*s - 11*y + 6*y + 1 = 0. Solve d = s*n - 5 + 3, 2*d - 18 = -5*n for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*b + 0*b + 2*b.\nAnswer: 5*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*f = -20*f - 1288. Let n = 97 + f. Suppose p - c - 2*c = 18, -5*p = n*c - 70. What is the remainder when p is divided by 7?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -36\/12035 - -12143\/36105. Suppose 0*d**2 - i*d**3 + 4\/3*d + 0 = 0. What is d?\nAnswer: -2, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express ((-4 + 4 + 4)*(-2 + 0 + 3) - 1 + 5 - 5)*(-3 - 3 + 4)*(-13*i + 2*i - 11*i)*(0 + 0 - 1) as n + g*i and give g.\nAnswer: -132","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 5*d - 7 = -2*i, -2*i - 12 = -3*d. Let t be (-2 - -44)*(-2)\/i. Calculate the highest common factor of t and 28.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*k - 11*k + 5267 - 13*k - 3*k + 2*k - 5267.\nAnswer: -19*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 6812661*c**3 + 2*c**2 + 169719*c + 1.\nAnswer: 40875966","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 0.0417 - 8\nAnswer: -7.9583","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 44\/14728491 and 137\/2031516.\nAnswer: 58913964","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -3 + 8. Suppose -c*i - 5*l + 15 = 0, -i + 5*l = -0*l - 15. Suppose 4 = 3*s - i. Solve -w + 2 = 3*o - s, 0 = -4*w - 5*o - 1 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 54614 and 83.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (sqrt(7200)*2 + 4 + sqrt(7200) - ((sqrt(7200)*-1 - sqrt(7200)) + 5)**2).\nAnswer: -28821 + 1380*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 88 + 87 = 5*p - 5*v, -176 = -5*p + 4*v. What is the smallest common multiple of 18 and p?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -610*u = -609*u - 388. What is the remainder when u is divided by 17?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t - 3 = -0*t. Let s(y) = -y**3 - 2*y**2 + 1. Let u be s(-2). Sort u, t, -4 in descending order.\nAnswer: t, u, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 177451?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 7 + -1. Suppose -p - 30 = -v*p. Let t be 98\/6*p\/2. Calculate the highest common factor of 7 and t.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 23 - 25. Let q be 216\/3*(-23 + p). What is q rounded to the nearest 1000?\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 329, -613, -1543, -2455, -3343?\nAnswer: -4201","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1025 - 986. Calculate the remainder when 153 is divided by y.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide (-9)\/2*(-64)\/(-48) + 4492?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 8.70347 and -0.428.\nAnswer: -3.72508516","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + (-1 + 3 - 3) - 1?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1449400891 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 126.1158*-0.259\nAnswer: -32.6639922","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*x - 37737*o + 37739*o - 3, -3*o - 12 = 2*x for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -40, -82, -126, -172, -220?\nAnswer: -270","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3199 by -4.\nAnswer: -3199\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1254 - 92*h**3 + 90*h**3 - 5*h**2 + 7*h**2 to g*h**2 + j + k*h + q*h**3 and give q.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 3 + 4*2\/4. Let o be 3 - 3 - 4 - (-8 + 1). Solve 0 = 5*s + h*v, o*v - 6 = s - 2 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -231745 at most 58?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) be the first derivative of -f**5\/60 + f**4\/4 - f**3\/2 + 5*f**2\/2 - 19. Let h(u) be the second derivative of d(u). What is h(6)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (-6*(sqrt(385) + (sqrt(385)*-1 - sqrt(385)))\/sqrt(11))\/(1*(-1*sqrt(1008) + sqrt(1008) - sqrt(1008) - sqrt(1008))).\nAnswer: -3 - sqrt(5)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 21\/5 of a millimeter?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -k**3 + 88*k**2 + 133*k + 4234. Determine j(90).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 32719 to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.109 - -0.391. Let m = 13 - 4. Which is the nearest to m? (a) w (b) -3 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2737.\nAnswer: 7, 17, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 461 is divided by 12.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -c**2 + 16*c + 5. Let j be s(16). What is the greatest common factor of 2 and j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -175*u - 4. Let w be t(-4). Suppose 0 = -4*x + w + 380. Suppose -2*p = 6, -4*f + 5*p = 2*p - x. List the prime factors of f.\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -57*h**3 + h**2 - 2*h + 2. Let f = 25 - 24. Let y be s(f). Let j = y - -60. Solve 0 = -2*x - 4*n + 4, 4*x = 3*x + 4*n - j for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -48 - -48. Let p = -2.1 + 0.1. Which is bigger: p or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o = 4*z - 34, -2*o = -5*z + 3*o + 40. Suppose -z*a + 2*a = -4*r - 152, 108 = 3*a - r. What is the highest common factor of a and 70?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 42224 and 4640.\nAnswer: 422240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1403.995148 + -1404. What is r rounded to 3 decimal places?\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 + 10 - 11 + 467214*i.\nAnswer: 467214*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 237 divide 9006?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 79327152.\nAnswer: 2, 3, 59, 9337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -318 (base 10) to base 6\nAnswer: -1250","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:02 AM and 12:13 PM?\nAnswer: 611","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t**(-4\/17)*t*t**(-2\/7)\/t*t assuming t is positive.\nAnswer: t**(57\/119)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -443 = -3*s - q + 5*q, 0 = -3*s + 3*q + 444. Is s composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a + 20 = 0, -2*n + 2*a = 84 - 1058. Let y = 948 - n. Is y a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 30\/(-10) - (-1 - -272). Let d = -472 - -1000. Let r = y + d. Is r a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 c when three letters picked without replacement from {q: 2, c: 1, g: 1, m: 2, n: 1}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-31)\/(-4)*(-2 - -6). Let q = 247 - 275. Let t = n + q. Solve 0 = t*g - 0*g - 12 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = f**2 + 16*f - 17. Let g be w(0). Find the common denominator of (1 + (-99)\/44)*g\/(-26) and 93\/16.\nAnswer: 208","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1143 = 5*g - 1277. Let d(o) = g*o + 484*o - 961*o. Let p(s) = 18*s. What is p(d(i))?\nAnswer: 126*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00394237787 rounded to 3 decimal places?\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = 6 - 2*b + 6*b**2 + 2*b**3 + 2 - b**3 - 5*b. What is the units digit of f(-7)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -i**3 + 10*i**2 - 13*i + 12. Let f be w(8). Suppose f = -2*r - r. Let x = r - -12. Let n(m) = m + 8. Calculate n(x).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 170728, 341456, 512196, 682954, 853736, 1024548?\nAnswer: 1195396","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**(-4\/7)\/((l*(l*l*(l**3\/l)\/l)\/l)\/l)*l*l\/(l*l\/l**(-2\/47))*l**(-14\/9) assuming l is positive.\nAnswer: l**(-12346\/2961)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 324967 is divided by 122?\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) be the first derivative of 4\/7*v**2 + 1 + 2\/7*v - 22\/21*v**3 - 13\/7*v**4 - 32\/21*v**6 + 128\/35*v**5. Suppose b(t) = 0. What is t?\nAnswer: -1\/4, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 121950, 121949, 121948?\nAnswer: 121947","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = 9*k**2 - 2*k - 655. Let w(t) = 10*t**2 - 3*t - 655. Give -3*a(n) + 2*w(n).\nAnswer: -7*n**2 + 655","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*n**2 - 4940*n - 136752 = 0.\nAnswer: -2442, -28","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(sqrt(88) + sqrt(88)*4) - (sqrt(88) - (sqrt(88) - 5*sqrt(88)*-2 - sqrt(88) - sqrt(88)) - sqrt(88)))\/((1*sqrt(32) + sqrt(8)*-2*6)*6).\nAnswer: 4*sqrt(11)\/15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4004*k + 60411 = -43434 + 166192 + 157873 for k.\nAnswer: 55","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-42)\/(-56) - (-2 + -1)*13\/(-39).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4)\/(((-30)\/(-24))\/(1\/(-16)))?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15435*p + 15325*p - 30653*p.\nAnswer: 107*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (275\/110)\/((-18)\/24).\nAnswer: -10\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 26844661.\nAnswer: 47, 571163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -355 + 952 = -d. Let u = -561 - d. Does 18 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x - 240 = -8*x. Let l be x\/(-12)*(-2)\/30. Factor 2\/9*h**4 + 2\/9*h**3 - 2\/9*h**2 + 0 - l*h.\nAnswer: 2*h*(h - 1)*(h + 1)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = n**3 - 65*n**2 + 185*n + 80. Calculate the remainder when 374 is divided by g(62).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v = -5*k - 25, 2*k + 5*v + 9 = -1. Suppose 3*g = -3*g + 42. Let w = k + g. Solve 6 = w*n + 2*i, -2*n + 9 = n + 5*i for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -441\/685 + 6\/137. Which is the third biggest value? (a) -38\/7 (b) 3 (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jeje when four letters picked without replacement from {s: 2, j: 4, e: 3}?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 53430427.\nAnswer: 53430427","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 55615164419 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:07 PM and 6:52 PM?\nAnswer: 345","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 534\/(-14) - 4\/(-28). Let a = 40 + t. Calculate the lowest common multiple of a and 18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 98574 is divided by 3942?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -16.244 - -9.144. What is the nearest to w in 3, 1, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-26 - -11 - 35) + 11?\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -6.47 - -6.469955. Round a to 4 dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**23*l**8*l*(l\/(l**(-9)*l))**(1\/54))**(-2\/33) assuming l is positive.\nAnswer: l**(-193\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 25, 9, -35, -119, -255, -455, -731, -1095?\n\"Answer: -2*n**3 - 2*n**2 + 4*n + 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*n + 2 = 0, 5*k + 4*n = 10 - 11 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -671*p - 8718. Determine x(-13).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) be the first derivative of -5*q**4\/2 + 214*q**3\/3 - 442*q**2 + 320*q - 6837. Let n(y) = 0. What is y?\nAnswer: 2\/5, 5, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11858044 - 22*b - 11858044.\nAnswer: -22*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.6 + 30064295?\nAnswer: 30064294.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -h**3 - 24*h**2 + 27*h + 52. Let k be f(-25). Let y(n) = 88*n + 3. Let c be y(k). Let r = 268 - c. Is r composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 674, 684, 706, 746, 810, 904, 1034?\n\"Answer: o**3 + 3*o + 670","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 537, 2035, 4527, 8007, 12469, 17907, 24315?\n\"Answer: -i**3 + 503*i**2 - 4*i + 39","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 9.14 + -9. Let z = i - 0.04. Which is the closest to -1\/3? (a) -0.3 (b) z (c) -2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = 5*z + 2. Let r(n) = -18*n. What is r(w(o))?\nAnswer: -90*o - 36","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -10 + -2024?\nAnswer: -2034","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -49.2 + -5.6944635\nAnswer: -54.8944635","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 3, 0.42, 9?\nAnswer: 0.42","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 3443 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 5, z: 2, i: 1, r: 4, a: 2}. Give prob of picking 1 i and 1 z.\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*d**3\/15 - 140*d**2 + 2792*d\/5 - 8368\/15.\nAnswer: 2*(d - 1046)*(d - 2)**2\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 49580 rounded to the nearest ten thousand?\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = 3*c, c - 5 = -5*q + 20. Suppose i = m + 33, i - m - 165 = -q*i. What is the highest common divisor of 11 and i?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p and 1 a when two letters picked without replacement from apypfyrf?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xnwffufuufjnfwfnww. Give prob of picking 2 n and 1 u.\nAnswer: 3\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40 = 2*z + 4*k, -2*z + 4*k + 18 - 2 = 0. Let u = 18 - z. Calculate the greatest common divisor of u and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hy when two letters picked without replacement from {h: 1, i: 5, e: 8, y: 1, s: 5}.\nAnswer: 1\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -1 - (-1 - (-5 + (7 - -1)))\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -292*u**3 - 24511*u + 24511*u.\nAnswer: -292*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 1032121, 2064259, 3096395, 4128529?\n\"Answer: -z**2 + 1032141*z - 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7094*q + 7125*q + 155 = 0 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1\/3 + 195\/9. Let n be i\/55 + (-56)\/190. What is the third smallest value in n, -1\/7, 0?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 1, a: 3, d: 3, h: 1, o: 1, u: 5}. What is prob of sequence uuuw?\nAnswer: 5\/2002","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = 10*y - 1. Let x be r(1). Let b be ((-1)\/(-3))\/(x\/(-18)). Let t = -12 - -8. What is the smallest value in -1, t, b?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 37 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 biggest value in 49, -1, 7, -0.1, -1.3, -3?\nAnswer: 49","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = 2*y**2 + 13*y - 11. What is w(0)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 498 and 3237?\nAnswer: 6474","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 8, k: 3, w: 5}. What is prob of picking 2 l?\nAnswer: 7\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -363 + 366. Let w = 60\/11 + -251\/44. Let l be 6\/(-15) - 26\/(-15). Put -2\/15, w, s, l in ascending order.\nAnswer: w, -2\/15, l, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*w = 3*r + 21, -3*r - 17 = 3*w - 4*w for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.1 >= -19\/2861?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r + 239 = 3*k - 277, 0 = -3*k + 11*r + 606. Solve -6*n = -36*n - k for n.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -1156, -1082, -958, -784, -560, -286?\n\"Answer: 25*r**2 - r - 1180","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3692150*r**5 - 29*r**2 - 59038*r wrt r?\nAnswer: 221529000*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000137330945 to six dps.\nAnswer: -0.000137","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -27*l = 60*l - 10*l - 1078. Solve -509 + 481 = -l*j for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = 128*b - 890. Let v be d(7). Let q(t) be the third derivative of -1\/15*t**5 + 0*t - 1\/2*t**3 - 17*t**2 + 0 - 1\/12*t**4 + 1\/120*t**v. What is q(4)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*d = d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 70522.\nAnswer: 2, 37, 953","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15 = -267*n + 786 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -24 - -34. Let o(d) = -d**3 - 4*d**2 + d + 6. Let j = -26 + 22. Let q be o(j). What is the highest common divisor of i and q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -104180, -104179, -104178?\nAnswer: -104177","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 251 - 3079 = 66*j - 848 for j.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 11 + (-1 - -3) + -67 + 22.\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 19 and 86392?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -625.00634 + 625. What is s rounded to four decimal places?\nAnswer: -0.0063","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = 2699*p + 9. Let k(t) = 7*t**2. Calculate k(w(z)).\nAnswer: 50992207*z**2 + 340074*z + 567","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u + 3 = 5, 2*d = 5*u - 5. Let a = 2 + d. Suppose -3*i + 17 = 3*f - 49, 0 = -4*i - a*f + 90. Is 4 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = h**2 + h + 1. Let f(l) = -l**2 + l + 1. Let a be f(0). Let j(p) = 4*p**3 + 6*p**2 + 8*p + 5. Let m(k) = a*j(k) - 6*n(k). What is m(1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -13065.29 + 4028495\nAnswer: 4015429.71","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -18*x**2. Let b(u) = 8629*u + 1. What is b(v(l))?\nAnswer: -155322*l**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.3 (b) -4 (c) 1\/41 (d) -31\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -33*o**2 - 3*o - 12. Let x be a(-8). Find the common denominator of 115\/6 and (x\/16)\/(-7) - -2.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d, 1 h, and 1 t when three letters picked without replacement from {d: 2, h: 1, u: 1, t: 2, i: 1}.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jw when two letters picked without replacement from {c: 4, j: 1, k: 2, w: 1}.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -40*t**3 + 3 + 2*t**4 + 40*t**3 + 3*t - 2*t**2 to i*t**3 + z + f*t**2 + p*t**4 + n*t and give p.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 624 is divided by 605?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -71 = -5*h - 6. Suppose -h = -4*l + 23. Calculate the remainder when 24 is divided by l.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 0.1, -25\/2, -392?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (2\/(-6))\/((-112)\/(-288))\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 826836758.83 and 19?\nAnswer: 826836739.83","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 3, r: 2}. Give prob of sequence xx.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -63 divided by -6\nAnswer: 21\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-11556)\/1605*(-60)\/(-16).\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i**3\/3 - 22324*i**2\/3 - 134160*i = 0. What is i?\nAnswer: -18, 0, 11180","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = q**2 + 4*q + 3. Let g be i(-3). Suppose j = -0*j + 2. Solve -j*d + g = -6 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1692.\nAnswer: 2, 3, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 144\/16 + (-14)\/2.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -36*b. Suppose 0*t - 20 = -5*t, 2*i - t = -6. Let u be o(i). Calculate the highest common divisor of u and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 12 and 215836.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1028, -1825, -2622, -3419?\nAnswer: -4216","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n + 5*n = 5*n. Suppose -7 = c + 3*w - 1, -20 = -2*c + 2*w. Solve n = -c*y + y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000109519405 to six dps.\nAnswer: 0.00011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -21*56\/490*5\/330*15.\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -162*g - 558*g = -20160 for g.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1677 is divided by 84.\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -t**3 - 7*t**2 + 236*t + 472. What is s(-18)?\nAnswer: -212","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: What is -11110101110 (base 2) in base 9?\nAnswer: -2624","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (43\/2)\/((-2)\/4). Let h = m + 131\/3. Is h not equal to 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (126\/609)\/((-3)\/(-5*(-60)\/200))?\nAnswer: -3\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 39508414.\nAnswer: 2, 11, 1795837","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3 + 13\/5. Let m = 13 + -8. Sort s, 0.2, m in increasing order.\nAnswer: s, 0.2, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -1573, -3, 0.3, 9?\nAnswer: -1573","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 1\/4 of a centimeter?\nAnswer: 2500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0004296 to three dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -146 + -227?\nAnswer: -36d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = 15*l - 23. Let j(s) = 15*s - 20. What is 6*j(n) - 5*x(n)?\nAnswer: 15*n - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.05, -8\/7, 87 in decreasing order.\nAnswer: 87, -0.05, -8\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -2042800 to the nearest 100000.\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3\/(3 + 6)*(-3)\/7.\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 81\/63380 and 35\/50704.\nAnswer: 253520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = 16*p. Let i(m) = m - 2. Suppose 8*v - 4 = 4*v. Let u(w) = 4 - 3 + 1 - 3. Let q(f) = v*i(f) - 2*u(f). What is c(q(t))?\nAnswer: 16*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 1, c: 2, n: 2, r: 1, q: 1, l: 2}. What is prob of picking 2 n and 1 r?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.3? (a) 90 (b) 0.2 (c) -1\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t + 21 = 3*t. Let x = t - -27. Calculate the highest common divisor of x and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from cccocooogcogoo. Give prob of sequence cocg.\nAnswer: 5\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = 5*f + 11. Let h be w(-13). Let d(g) = g**2 + 20*g - 1. Let a be d(-15). Let c = h - a. Is 11 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -77*z**2 + 149*z**2 - 8*z**3 - 72*z**2.\nAnswer: -8*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 6097 and 130851?\nAnswer: 469","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 6 + -2 + (-1 - 0)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1798, -1883, -1968, -2053?\nAnswer: -2138","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 247794651?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = t**3 - 2*t**2 - 9*t - 17. Calculate g(4).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4664375?\nAnswer: 5, 17, 439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = 20*n**2 - 6*n**2 - 12*n**2. Let z(p) be the first derivative of -p**3\/3 - 2. Determine v(z(d)).\nAnswer: 2*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*m - 12*m + 4*h + 172 = 0, 3*m + 258 = -2*h. Let k = -84 - m. Suppose 2*z - 183 + 35 = -3*l, 102 = 2*l + k*z. List the prime factors of l.\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1.17*-6\nAnswer: -7.02","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) 3 (b) -7 (c) 1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-26 - (-38 - 5)) + -30?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 19346017 and 818193?\nAnswer: 4471","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:42 AM and 8:48 AM?\nAnswer: 186","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5250\/15)\/50*1\/(-14).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 21\/35*(-7 + (-445)\/(-60)). Let w = 9 - 6. Sort w, -2\/55, p.\nAnswer: -2\/55, p, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 28*a - 29 + 0*a - 4*a.\nAnswer: 24*a - 29","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 10487 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = 5*a**3 - 3*a**2 - 14*a + 1. Let r(t) = -6*t**3 + 2*t**2 + 16*t - 1. Determine 7*k(p) + 6*r(p).\nAnswer: -p**3 - 9*p**2 - 2*p + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 252011.7 years in centuries?\nAnswer: 2520.117","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 91 and 22022?\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from spsvk. What is prob of picking 2 s?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-2)\/10 + (-78)\/(-15). Let y = -24 + 27. Suppose q = 2*b + y + 4, -d*q + 48 = 3*b. What is the units digit of q?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n, 1 f, and 1 e when three letters picked without replacement from pnejjneenjnnnoefoofo?\nAnswer: 4\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(240)*-5)\/(sqrt(12)\/(sqrt(9)\/sqrt(3))))\/(sqrt(3) + sqrt(54)\/sqrt(2) + (3*sqrt(12) + sqrt(12))\/sqrt(4)))**2 + 2.\nAnswer: 157\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -0.1+-16705201\nAnswer: -16705201.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 25\/2 of a tonne?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is fifteen quarters of a centimeter in micrometers?\nAnswer: 37500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 25\/54 and -119\/220462656?\nAnswer: 1984163904","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 3 - -1037620?\nAnswer: 1037623","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = 53*a**2 + 488*a + 9. Determine h(-9).\nAnswer: -90","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1735?\nAnswer: 5, 347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = z**3 - 101*z + 13. Suppose o + 26 = 3*j, 2*j + 5*o - 3*o = 28. Calculate n(j).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = 2*l**2 + 2*l - 2. Let z be j(-2). Suppose -q = z*q - 12. Solve -q*a + 5 + 3 = 0 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2716 is divided by 62?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 110 - 74. Let z = r - 26. What is the lowest common multiple of 6 and z?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 267 a factor of 7082652?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-78030)\/(-9741) + (-150)\/14325?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1240735 is divided by 74.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 13, 7, 10, 4 in decreasing order.\nAnswer: 13, 10, 7, 4, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 808*55.\nAnswer: 44440","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -65*s = 3*k - 61*s + 28, 5*k + 12 = 2*s for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = 3*q + 1 + 4*q - 4*q - q**2. Suppose c = 5*r + 13, -21*r = -23*r - 2*c - 10. Determine s(r).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 h when two letters picked without replacement from hjybhhoyh.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4516364, 9032729, 13549094?\nAnswer: 18065459","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1429937 is divided by 8360.\nAnswer: 377","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (24\/(-2))\/(-12)*1\/1?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = 2*j**2 - 28*j + 76. Let i be m(0). Calculate the highest common factor of 380 and i.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -2*r - 5. Let m be n(-6). Suppose 2*o - 38 = 5*l, -2*o - m = 3*l + 19. Let w = 4 - l. Solve g - 2*d = -2*g + w, -g + d = -4 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of -2 - (-3 + -152 + 1)?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -232017 = -13198*i - 654353 for i.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*q**2 + 3*q**2 + 15*q**2 - 5*q**2 - 3*q**2.\nAnswer: -2*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 4 (b) 0.102 (c) -1 (d) 5 (e) 1\/2 (f) 0.204\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 41170815317 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -20*j**2 - 4 + 0 + 5.\nAnswer: -20*j**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -826, -1234, -1642, -2050, -2458, -2866?\n\"Answer: -408*h - 418","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let -177*p - 2*p**4 + 2*p**2 + 15*p**2 - 135*p - 4*p**3 + 22*p**3 + 288 - 9*p**2 = 0. What is p?\nAnswer: -4, 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 182*k - 1764 - 10301 + 2237 for k.\nAnswer: 54","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = 103*b + 2807. Is 142 a factor of z(22)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h = 3*g + 46, h + 2*g + 3 = 12. Suppose 0 = -l + 2, l = 5*r - h - 26. What is the units digit of r?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 531390 is divided by 241.\nAnswer: 226","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 107933310?\nAnswer: 2, 3, 5, 44417","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/(25\/(-20) + 4 - 3)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 510533*z**5 - 590240*z wrt z?\nAnswer: 10210660*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 155*j - 1118992 = -89*j - 144700. Calculate the greatest common factor of j and 66.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve f - 12 = 2*z + 3*z, 4*f = -4*z - 24 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -100 - -1102212010002?\nAnswer: 1102212002202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = 4*m + 214. Let d be g(-53). Let t be (-1)\/5 - d*816\/(-160). Solve 4*u = t - 14 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 44073498719 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 2322 minus 161684701947?\nAnswer: -161684699625","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d - 25 = 0, 0 = -v + 4*v + 2*d + 7. What is the common denominator of (1\/1)\/(33\/(-141)) and -2 + v + (-41)\/(-3)?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -49603.715 + 53694.8. Let l = -4119 + u. Let z = l + 28. What is z rounded to 2 decimal places?\nAnswer: 0.09","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -21160 to the nearest 1000.\nAnswer: -21000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 149128769 is divided by 582?\nAnswer: 581","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*a**3\/11 - 60*a**2\/11 + 546*a\/11 - 1352\/11 = 0. What is a?\nAnswer: 4, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*k + 7*k = 3*w - 33, -k = -w - 3. Solve 9 = w*d + i, 4*d - 5*i = -4*i - 1 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2*9\/(-112)*-39*392\/(-6552)?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2295 + 6900 + 458*y - 3*y**2 - 2298 - 2304 as o*y**2 + m*y + v and give m.\nAnswer: 458","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -6*t. Let p(u) be the second derivative of u**4\/24 + 34*u**2 + 29*u. Let b(j) be the first derivative of p(j). What is o(b(w))?\nAnswer: -6*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -145*x**3 + 20*x**2 - 1?\nAnswer: -870","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -210*d + 288*d = -156 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 8994187451 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 75899897 to the power of 1\/3, to the nearest integer?\nAnswer: 423","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = 799*j + 14. Let i(r) = 425*r + 7. Determine 6*b(c) - 11*i(c).\nAnswer: 119*c + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.3 + -0.7. Let s = 1.14 - 0.14. What is the closest to t in -0.4, s, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (-3*sqrt(448)*-5)**2.\nAnswer: 100797","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (1 - 2) + 4\/4. Let u(z) = z + 3. Let f be u(b). Solve y = -4*r + 23, -2*y - 3 = -f*r + 6 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 594263 is divided by 30.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 224 and 32.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 - 57 = -5*g. Let b = g + 12. Suppose 32 = z - b. Calculate the highest common factor of z and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3.975 - 0.025. Let d = -0.19 + 4.19. Sort v, d, -1.\nAnswer: v, -1, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ueukekkkkhkkkh. What is prob of sequence uk?\nAnswer: 8\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -8*t + 20. Let n(y) = y - 16. Let u be n(19). Let f be z(u). Let h = -4 + 8. Put -5, h, f in increasing order.\nAnswer: -5, f, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4873 is divided by 103?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -115*n**3 - 8*n**2 + 16*n + 24. What are the prime factors of c(-6)?\nAnswer: 2, 3, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -953590, -1907072, -2860554, -3814036, -4767518?\n\"Answer: -953482*c - 108","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 22010021 + 11?\nAnswer: 22010102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = 4 - d**2 + 1 - 7*d - 2. Let b be t(-6). What is the greatest common divisor of b and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 35335 - 2?\nAnswer: 35333","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 3 - 5. Let u = -3 + 3. Suppose 2*m = -u*m + 8. Put m, 2\/13, b in descending order.\nAnswer: m, 2\/13, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -17694 (b) 2 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -8*v**2. Let m be (-4)\/(-14) - (-4 - 846\/(-21)). Let g be (-2030)\/(-18) - (-5 + (-172)\/m). Let x(p) = g*p - 113*p - p**2. Determine y(x(b)).\nAnswer: -8*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 90623276?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 13558953?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 4, 1338, 2, 5, -3, 0.4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(18)\/sqrt(3)*-2)\/(-2*sqrt(3)*-4).\nAnswer: -sqrt(2)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 188\/2303*(8 - 1). Let u(m) be the first derivative of 4\/7*m - 1 + 4\/21*m**3 + r*m**2. Find v such that u(v) = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -27*i**2 - 26 - 19*i**2 + 2*i - 23*i**2 + 67*i**2 - 1 as j*i**2 + a + o*i and give j.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*d = 840*x - 835*x - 10, 0 = 5*x - 4*d + 20 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = 5*d**2 - 1. Let r be g(-1). Suppose -2*z - 4*p - 364 = 0, z + 2*p - 718 = 5*z. Let u = 1262\/7 + z. Put r, 5, u in decreasing order.\nAnswer: 5, r, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-101)\/10 - 80\/(-800).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-1)\/110*4*-15. Do v and 1\/4 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((a\/(a\/a**2))\/((a**7\/a*a)\/a))\/(a**(1\/3)\/a**(3\/7)))\/(a**(2\/9)*a\/(a\/a**4)*(a**(-1\/2))**(-3\/5)) assuming a is positive.\nAnswer: a**(-5309\/630)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 10022082 and 11237?\nAnswer: 661","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 24 and 60?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 237455 less than 0?\nAnswer: -237455","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 11989 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-6)\/((-3)\/((-3)\/(-2))). Suppose 0 = -y*a - a + 12. Suppose -4*v = -11 + a. Solve -7 = -4*j - 5*q + 9, 0 = v*q for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 293?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -73*n = 173 - 611 for n.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = 2*x. Let r(m) be the first derivative of 6*m**2 - 19*m - 298. Give r(w(i)).\nAnswer: 24*i - 19","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 112 and 565823744.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1203983?\nAnswer: 11, 109453","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 32a4a32 (base 11) to base 14.\nAnswer: aa9d88","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 102 - 98. Determine w so that 6*w**3 + 48*w**2 + 81*w**f + 18*w**3 - 78*w**4 = 0.\nAnswer: -4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 80 + -116. Let x = r - -50. What is the smallest value in 0, x, -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 1312923?\nAnswer: 3, 437641","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1449*n**2 - 2890*n**2 - 2 + 1448*n**2 + 2.\nAnswer: 7*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 81053 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -59 + 62. Solve 4*n - 22 = -4*w + 2*w, z*w + 3*n = 21 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.6 + 1.4. Let i = -1.6 + 2.6. Let j = 1.1 - i. Which is the nearest to j? (a) 1\/8 (b) x (c) 8\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000001629 to six decimal places.\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -8*s + 7*s. Does 5 divide 128\/s - (-6)\/(-10)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 132196647 to the nearest integer?\nAnswer: 11498","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p, 1 h, and 1 w when three letters picked without replacement from aahnkwp?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.1 (b) -0.2 (c) -138\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 212 - (-7 + 7)*(1 + 0). Let g = 342 - j. Does 9 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d - q = 3, 6 - 15 = 2*d + 3*q. Does 17 divide (-90 + d)*(-1)\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -h**2 + h - 5. Let y = -353 + 357. Determine s(y).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*w + 4*w + 12 = 3*j, -3*w = j - 17. Suppose 0 = 11*m - j*m + 393. Let c = m - -136. Solve v + 4 = c*z - 6, 19 = 4*z - 3*v for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -194 + 106. Let v = x + 93. Suppose -v*w - 1025 = -10*w. What is the tens digit of w?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -57129, -114349, -171569, -228789, -286009, -343229?\n\"Answer: -57220*x + 91","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = t + 6. Let a be c(-4). Suppose -3*y = 2*y. Suppose l = -y*l. Solve 5*h + a*x = -x + 8, 2*h - 2*x = l for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 11 + -6. Suppose 3*w - i*w = -34. Suppose -n = -p - 2*n + w, -5*n = 4*p - 72. Is p composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1.8? (a) -1 (b) 5 (c) 12\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-6 - 0 - -10)\/((-1)\/(-1)). Solve -21 = -5*b - c - 43, -3*b + x*c - 4 = 0 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3153*a**2 - 13*a - 73 wrt a.\nAnswer: 6306","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 33 + -30. Let f(c) be the first derivative of 2*c - 1\/2*c**2 + 1\/3*c**3 - d. What is f(2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -6.3 - 0.7. Let n = 52 - 53. Which is the smallest value? (a) m (b) n (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -30330113 (base 5) to base 2.\nAnswer: -111011111110011010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) be the first derivative of -f**4\/4 + f**3\/3 + 13*f - 9. Let n be -1 - (-2)\/(-4)*(-4)\/2. What is w(n)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 139292 to the power of 1\/3, to the nearest integer?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -10*d + 3. Let o be 3*-2*2\/3. Is q(o) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -6564 at most as big as -564551\/86?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*v + 3*t = -459 + 453, -2*t = -4*v - 16 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 63253?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 28, -4, 2900, 53 in descending order.\nAnswer: 2900, 53, 28, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8\/(-100)*(-35)\/(-14)?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) be the first derivative of 5*v**4\/4 - 5*v**2\/2 - 11. Let g(o) = 0. Calculate o.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 570304\/42560 + (-16)\/(-10).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1880620 a multiple of 90?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 21228?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 4 (b) -1 (c) -5 (d) 1\/13\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 v and 1 r when four letters picked without replacement from {r: 3, v: 5}?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 623787 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 107 times 28\nAnswer: 2996","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -608 divided by -152\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2444692 is divided by 18.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 99*h - 179 + 1862 for h.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 115 or 116?\nAnswer: 116","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 3*(-2*30)\/(-3). Let o(w) = 7*w + 12. Let j be o(13). Let p = j + -23. What is the greatest common divisor of p and s?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 794 or 2.409?\nAnswer: 2.409","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 15589, 31179, 46769, 62359, 77949, 93539?\nAnswer: 109129","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 61007011.\nAnswer: 13, 4692847","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -2*v**3 + 15*v**2 + 477*v + 7. Determine m(20).\nAnswer: -453","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -310 - -305. Let r be -1 - (-8)\/4 - (6 + x). Solve r = -0*c + 3*c + 5*f + 22, 0 = -3*f - 15 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 331390.\nAnswer: 2, 5, 31, 1069","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -19 - (-60 - (30 + -62))?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 670, 665, 660?\n\"Answer: -5*f + 675","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = 124*p**2 + 1419*p - 128. Is v(-41) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 243+-2001979\nAnswer: -2001736","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -157.8 + 190. Let d = y - 32. Put d, 3, 5 in ascending order.\nAnswer: d, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 19\/5 + -223\/60. Let r(j) be the second derivative of 0*j**3 - w*j**4 + j**2 + 0 - 2*j. Differentiate r(l) wrt l.\nAnswer: -2*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -101344213 (base 5) to base 2\nAnswer: -1100110001101111011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4394858 - 7917816 - 21454575 = -469*j. List the prime factors of j.\nAnswer: 19, 2803","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = 2*n**3 + 18*n**2 - 3*n - 83. Calculate the remainder when j(-8) is divided by 26.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -7888*g**6*z**2 - 18*g**3*z**2 + 3*g**2*z**2 + 2*g**2*z - 2*g + 61391*z**2 wrt g.\nAnswer: -946560*g**3*z**2 - 108*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 392 + -391.9466. Let x = v - -0.00658. Let y = x - 0.06. Round y to four decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1064.9007 months in years?\nAnswer: 88.741725","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2628)\/(-264) - 19\/((-456)\/(-240)).\nAnswer: -1\/22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (303\/(-1010))\/(14\/(-35)). Factor 0*c**2 + 0 + 0*c + s*c**3.\nAnswer: 3*c**3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1.1 + 0.6. Let p = 3 - 3.4. Let l = 0.8 - 0.3. What is the third smallest value in b, p, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 472985\/6 + -78659. Let b = 337\/2 - s. Let a = 367\/3 - 120. What is the common denominator of a and b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-18)\/36 + 736002\/4. What is f rounded to the nearest 10000?\nAnswer: 180000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -m. Let g(n) = -3*n. Suppose -3*r + r = -10. Let u(h) = r*l(h) - g(h). Let t(q) = 7*q**2. Give t(u(b)).\nAnswer: 28*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1 - 3 - 3\/(-6)*30. Suppose -d*r + 64 = -11*r. Let 16*s + 0*s + 2*s**3 + r - 2*s**2 - 12*s**2 = 0. What is s?\nAnswer: -1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 2 + 1 + 7*x.\nAnswer: 7*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -0.6 times -90\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -2*g - 6. Let r be p(-4). Let a(w) = -5*w**3 + w. Let i be a(1). Put -1, i, r in increasing order.\nAnswer: i, -1, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 34 and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = 2*u**3 - 31*u**2 + 14*u + 54. Let d be p(15). Suppose -19*o = -d*o. Solve o = 4*s - 6*s - 8 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -n + 7. Let b be h(-3). Suppose 11*j - b*j = 10. Calculate the greatest common factor of 1 and j.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 4939 and 3592?\nAnswer: 39512","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 144, 143, 142, 141?\n\"Answer: -m + 145","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -i**3 - i**2 + 373*i. Let w(f) = 3*f**3 + 2*f**2 - 749*f. Give 7*b(u) + 3*w(u).\nAnswer: 2*u**3 - u**2 + 364*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = 4*t**2 + 15*t + 6. Let o(a) = -2*a**2 - 7*a - 3. Give 6*n(s) + 13*o(s).\nAnswer: -2*s**2 - s - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6*v - 8 + 37 - 3 to the form c*v + m and give m.\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11 (base 5) to base 16.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1016 and 1778?\nAnswer: 7112","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = 6*q. Let v(n) = n**2 - n - 106. Let j be v(11). Calculate l(j).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3137 = 29*l - 35936. Does 18 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = p**3 - 111*p**2 + 1956*p + 172. Calculate d(89).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2160 and 73804080.\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (155445\/(-86))\/((-18)\/48). Calculate the highest common factor of h and 20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -i**3 + 11*i**2 - 5*i + 9. Is t(9) a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2305 - -340. List the prime factors of s.\nAnswer: 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0 + 1. Let y(s) be the third derivative of -s**6\/30 - s**3\/6 + s**2. Determine y(p).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 12) to base 13.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 + 0 - 3)*(-2*u - 3*u - 12*u).\nAnswer: -34*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -w**3 + 9*w**2 - 6*w - 4. Calculate the remainder when 35 is divided by h(8).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 30001645 (base 7) to base 6.\nAnswer: 124545111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -12162336 (base 8) to base 9.\nAnswer: -5034271","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -135791, -131703, -127615, -123527?\n\"Answer: 4088*m - 139879","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -13 - 13?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 1, c: 1, e: 1, s: 1, k: 1}. What is prob of sequence ec?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i - x = -1 + 34, i = -x - 13. Let m be (-40)\/(-18) + (-2)\/9. Let k be (-24)\/i + m\/(-5). Solve -k*r - 12 = -2 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -34026 times -5?\nAnswer: 170130","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (3 - -3 - 1) + -12\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*d*r**3 - 26530*d*r**2 - 1050*d*r - 7*d - 65*r**4 + 181*r wrt r?\nAnswer: 12*d*r - 53060*d - 780*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sum 11376965077 and -6.\nAnswer: 11376965071","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -33\/11795 and -19\/35.\nAnswer: 11795","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1590*k = -2995 - 7532 + 217227 for k.\nAnswer: -130","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15390?\nAnswer: 2, 3, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) be the second derivative of m**3\/3 - 2*m**2 - m. Let x(p) = -p**2 - 130*p + 1707. Let b be x(12). Give t(b).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -55 = 2*t - 75. What is the highest common factor of t and 8?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 35*((-27)\/(-3))\/(-45).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -6350617\/85 - -74714. Let a = -1\/17 + p. Let r = 11 - 15. Sort 2, a, r in descending order.\nAnswer: 2, a, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is g in -2*g**2 - 7645648*g - 7306991667488 = 0?\nAnswer: -1911412","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) be the first derivative of c**3\/3 + c**2 - 17*c - 14. Let z be u(-8). Suppose 6*a - 19 = -z. Put -5, a, 7, 3 in descending order.\nAnswer: 7, 3, a, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -4.5947 < 16\/615?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2*w + 0*w + 3*w)*(14 + 9*w**2 - 10 - 2*w**2).\nAnswer: 7*w**3 + 14*w**2 + 4*w + 8","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 9204 and 4524.\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -100*t + 3499. What is the units digit of r(0)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence byrb when four letters picked without replacement from rvibbyg?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*k - 4 - 16. Calculate the remainder when 8 is divided by k.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-14)\/(x*x\/(x\/((x**17\/x)\/x*x))))\/((x\/x**(-2\/47))\/x)**(-1\/3) assuming x is positive.\nAnswer: x**(-4369\/141)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**0)**(-2\/21)\/(k**(-1)\/(k*k**(-10)\/k*k)) assuming k is positive.\nAnswer: k**(-8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*f**3\/9 + 274*f**2\/9 + 530*f\/3 + 262.\nAnswer: 2*(f + 3)**2*(f + 131)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 78, 57, 36, 15, -6?\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = d + 9. Let g be j(0). Let z be (0 + (-60)\/g)\/((-4)\/(-54)). Let n = z + 127. What is the tens digit of n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8\/(-1)*(-324)\/35424*1681\nAnswer: 123","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -39 > -3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1094 - 1088 - 1092 + 3274 - 33*v**2.\nAnswer: -33*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/3*(-9)\/(-9)*156*22\/88?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 260883342 and 7776.\nAnswer: 486","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5546*n + 2*n**3 + 6*n**3 + 10*n**3.\nAnswer: 18*n**3 + 5546*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-12)\/(-8)*40\/15. What is the units digit of -1 + w - (-11 + -1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 + 2*g + 2)*(515*g + 300 - 300) + (-2 + 2 - 3*g)*(-2 + 2 - 2*g) in the form h*g**2 + r*g + y and give h.\nAnswer: 1036","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 13*z + 4*z + 2*z + 5*z.\nAnswer: 24*z - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 2245908667 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 15 or -0.075?\nAnswer: 15","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9794 is divided by 426?\nAnswer: 422","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 858865 to the nearest integer?\nAnswer: 95","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 8788236 + -2410569\nAnswer: 6377667","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 31785*o = 30355*o + 5720 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6*(-9)\/(-324))\/((-2)\/4).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -1838 equal to -1837?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.116876775 to four dps.\nAnswer: 0.1169","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: Factor -j**5 - 5*j**4 + 47*j**3 - 39*j**2 - 90*j.\nAnswer: -j*(j - 3)**2*(j + 1)*(j + 10)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -11 - b77?\nAnswer: -b88","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence llo when three letters picked without replacement from olclolcl.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 30602357 to the power of 1\/2, to the nearest integer?\nAnswer: 5532","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 62335?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.11 + 0.110026. What is m rounded to five dps?\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 464, 448, 4 in descending order.\nAnswer: 464, 448, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 690 and 100.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -166*j**2*r**5 - 35*j**2*r**2 - 14*j*r**3 - 6*j*r**2 wrt r?\nAnswer: -9960*j**2*r**2 - 84*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 - 25263*b + 1 + 25145*b.\nAnswer: -118*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) be the third derivative of 13*k**5\/60 + k**4\/24 - k**3\/6 + k**2. Let h(z) = z + 1. Let n be h(0). What are the prime factors of x(n)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -y. Let o be r(-5). Suppose c + 14 = 5*z + 2, 4*c + 23 = -o*z. Let n(l) = -2*l + 8. List the prime factors of n(c).\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*f - 15*b - 87 = 0, -35 - 34 = -f - b - 70 for f.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 g when four letters picked without replacement from {g: 4, s: 2}.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -781.9 + 782. Let a = -0.34 - 0.06. What is the fourth biggest value in a, -0.1, x, -1\/7?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b*b**(-1\/3))\/b*b)**(-7\/4) assuming b is positive.\nAnswer: b**(-7\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -41\/2340 and 79\/79092.\nAnswer: 395460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1 + 2*a - 1 - 4*a + 2*a + 4*a + 4*a - a - 4*a + (2*a + a - 5*a)*(0 + 2 - 4) + 0 - a + 0 - 38 + 3*a + 38.\nAnswer: 9*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 17887*b*h**3 - b*h - 2*b - 6*h**3 - 21*h**2 - h - 6836 wrt h.\nAnswer: 107322*b*h - 36*h - 42","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.4, 0.1, -4, 57\/16, 1?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) be the first derivative of -12*a**2 + 2995. Let t(o) = -24*o**2 - 3*o. Determine u(t(b)).\nAnswer: 576*b**2 + 72*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.5 - -0.1. Let v be (-125 - -129)\/(2*4). Which is the nearest to 2? (a) p (b) 6 (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -39*j + 2064 = 4*j. Let a(d) = d**3 - 27*d**2 + 26*d + 3. What is the lowest common multiple of a(26) and j?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 23464215 to the power of 1\/8, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express -18 - 3 + 21 + 0 + 10740*v in the form k*v + y and give k.\nAnswer: 10740","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -4858 - -44591. Is f composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 3852656787?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -399 + 361 - 1067 - 2290*s - 1723 - 521*s wrt s.\nAnswer: -2811","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = 3*s**3 - s**2. Let a(u) = 17*u**3 - 10*u**2 - 21. Determine a(m) - 6*b(m).\nAnswer: -m**3 - 4*m**2 - 21","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) be the second derivative of k**3 + 3*k**2\/2 + 4*k. Let q be (-258)\/4*200\/(-60). Suppose q = 5*o + 225. Determine y(o).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -4 - -4. Suppose -f + 3*f - 230 = y. Suppose 2*t + f = 3*t. Is t composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2110, 4293, 6456, 8593, 10698, 12765?\nAnswer: 14788","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*v - 1 + 1)*(-4*v - 10*v + 32*v).\nAnswer: 36*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 97 minutes after 4:42 AM?\nAnswer: 6:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10\/10*(5\/1)\/(-5).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -106626 or -108591?\nAnswer: -106626","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -20611*p - 12*p**3 + 61829*p - 20610*p + 2*p**3 - 20608*p.\nAnswer: -10*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 142133222.\nAnswer: 2, 7, 11, 131849","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -432*t + 2996. What is u(7)?\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 474 minutes before 2:10 PM?\nAnswer: 6:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 624 minutes after 12:26 PM?\nAnswer: 10:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/35*(-30)\/(-45)*(-180)\/(-4).\nAnswer: 12\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -152796847 divided by -30359?\nAnswer: 5033","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -58.27465 rounded to the nearest integer?\nAnswer: -58","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 80716631 and 18770?\nAnswer: 807166310","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express -3409 + 1720*t + 1706 + 1701 as z*t + m and give m.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1\/378957 or -1?\nAnswer: 1\/378957","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 10 (base 13) to base 3\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 4 + -1 - 2\/(-2). Suppose y*x - 2*x - 252 = 0. Let v be (-1*3*-2)\/(-5)*132020\/(-1886). Calculate the highest common factor of x and v.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -4986*h - 109. What is the remainder when w(-1) is divided by 271?\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(13)*2 - (-1 + sqrt(117) - sqrt(13)))**2.\nAnswer: -12*sqrt(13) + 469","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -19*y + 33. Give s(-1).\nAnswer: 52","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b\/b**(3\/4))\/b**(-5))\/(b\/(b*b\/b**(-1\/6)*b)*((b**(1\/6)\/b)\/b)\/b)*(b**(1\/3))**(-50)\/(b**(3\/2)*b**(-2)\/b) assuming b is positive.\nAnswer: b**(-59\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 6977380 rounded to the nearest 1000000?\nAnswer: 7000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -m**2 + 2*m + 2. Let z(k) = -44*k**2 + 43*k**2 + 1 - 1. Let h(b) = 3*b**2 + 2*b + 2. Let r(l) = -h(l) - 4*z(l). Calculate -5*r(p) - 6*s(p).\nAnswer: p**2 - 2*p - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 70.8939mm to kilometers.\nAnswer: 0.0000708939","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -6d7a + -118e?\nAnswer: -8019","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.141 (b) -1 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = 12*i**3 + i**2 + 2*i. What are the prime factors of c(2)?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 67461 + -17379. Is n a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1605 divided by 1605.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve z + 13 = -2*w - 2, -w - 25 = 4*z for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 38509?\nAnswer: 97, 397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 310 - 315. Let y(q) = 215*q**2 - 128. Let g(a) = 216*a**2 - 130. Let v(l) = p*y(l) + 4*g(l). Differentiate v(b) wrt b.\nAnswer: -422*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from htttththttthttthhtt. Give prob of sequence htht.\nAnswer: 65\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 18352 and 160580?\nAnswer: 642320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 1 times -0.150226\nAnswer: -0.150226","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in four sevenths of a week?\nAnswer: 96","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -365165 times 0.014\nAnswer: -5112.31","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1\/(((-2)\/8)\/(-1)). Suppose 6*c = 2*c + 56. Let h be d\/c - 82\/(-7). Round h to the nearest ten.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 58014828 a multiple of 1602?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*r - 5648 + 5648.\nAnswer: 3*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h = 4*z - 1032, 4*h + 4*z = 2*z - 836. Let v = h + 219. Solve 0 = 5*y - 9 - v for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i - 16 = -4*r, 0 = -4*r - 2*i + 3*i + 1. Let d be (-13 + 2)*1*r. Calculate the highest common factor of 66 and d.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -133.1304 - -0.04233.\nAnswer: -133.08807","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 3 (b) 3\/8 (c) 0.07 (d) -0.04\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-1)\/((-1)\/142*-2). Let y = -484 - -395. Let m = d - y. Does 6 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = t**2 - 12*t + 52. Let b be j(5). Let i(q) = -18*q + 18*q**2 - q**3 + 5*q - 2 + 10. Does 6 divide i(b)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 8773808?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 15*r**3 - 71*r**3 - 31*r**3 - 79*r**3 + (-r**2 - r + r)*(0*r + 4*r - 2*r) to the form l*r**3 + p*r**2 + x + z*r and give l.\nAnswer: -168","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide (-5 + 17)\/4 + 1278\/9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**(1\/23))**19)**(2\/83) assuming z is positive.\nAnswer: z**(38\/1909)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = p**2 + 2*p + 1. Let m be a(-3). Let w be 116\/(-10) + m\/(-10). Is ((-690)\/w)\/(1\/2) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-24)\/(7380720\/29115) - 4\/(-34) and 43\/357?\nAnswer: 47838","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 22 and 364.\nAnswer: 4004","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 45, 109, 165, 219, 277, 345, 429?\n\"Answer: x**3 - 10*x**2 + 87*x - 33","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 122618696?\nAnswer: 2, 347, 44171","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(-1))**(-30\/11))**14 assuming x is positive.\nAnswer: x**(420\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -345? (a) 4413 (b) 4 (c) 2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 9 + -4. Let x(o) = o - 2. Let t be x(g). Calculate the highest common divisor of 12 and t.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mssm. Give prob of picking 2 m and 1 s.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 8956789?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -8\/6619 and 11\/3.\nAnswer: 19857","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zlllllzz. Give prob of sequence zzlz.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 816063?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -39 + 99. Let b be 6*(-4)\/z - 353\/5. Which is greater: b or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l and 2 h when three letters picked without replacement from hepeeevvepeevlphlhvv?\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*i**3 - i + 567972*i**2 - 3*i - 567972*i**2 + 4*i.\nAnswer: 5*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -390*h - 3545. Give g(-9).\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*u**2 + 86*u + 81*u - 2*u**3 - 174*u - 2 + (3*u + 0 + 0)*(-3*u + 3*u - u**2) to the form z*u**2 + j*u**3 + v + d*u and give d.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = 14582*p**2 + 16516*p - 7. Let f(j) = -4862*j**2 - 5507*j + 2. Let c(v) = 7*f(v) + 2*o(v). Find the second derivative of c(l) wrt l.\nAnswer: -9740","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is h in 1734*h**4 - 2186540*h**3 + 8683688*h**2 - 9899540*h + 2415954 = 0?\nAnswer: 1\/3, 31\/17, 1257","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -7119 + 7252. Calculate the least common multiple of s and 2774.\nAnswer: 19418","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8, -2, -421, -1, 4, -30, -4.\nAnswer: -421, -30, -8, -4, -2, -1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 258*q**3 - 86*q**3 - 86*q**3 - 84*q**3.\nAnswer: 2*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = 2*v - 4*v + 0 + 2 + v. What is k(3)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (4\/6)\/((-1)\/(-3)). Suppose 0 = i + 3*a - 20, -h*a - a = -6. What is the highest common factor of i and 56?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) be the first derivative of 1\/4*y**4 + 3*y + 2*y**2 + y**3 + 30. Give j(-2).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -5*a**2 + 4*a + 0*a**2 + 3*a**2 + 7*a**2 + 1. Let l(s) = 4*s**2 + 5*s. Let w(g) = -4*l(g) + 5*v(g). Differentiate w(x) with respect to x.\nAnswer: 18*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -11902 - -761663\/64. What is the common denominator of -137\/144 and f?\nAnswer: 576","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -89, -180, -271, -362?\nAnswer: -453","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 139 minutes after 3:00 PM?\nAnswer: 5:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1900\/16 + (-6)\/8?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 72859 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*f**4 + 201204394*f**3 + 576720246*f wrt f?\nAnswer: 24*f**2 + 1207226364*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 388*g**3*k*w - g**3 + g*k*w - 2*g*w - 82*g + k*w with respect to k.\nAnswer: 388*g**3*w + g*w + w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2927.\nAnswer: 2927","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(3 + sqrt(720) + -1 - (sqrt(720) - ((sqrt(720) - (sqrt(720) + 0) - sqrt(720))*-1)**2))*-4 + 5.\nAnswer: 17333","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 8\/(-6) - 633241\/(-21). Let i = -14674 + o. Is 56 a factor of i\/46 + (-1)\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:14 PM and 6:16 PM?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + 0*k = 5*o + 8, 5*o + 5 = 0. Let l = 0.5 + -5.5. Let c = -0.01604 - -0.21604. What is the nearest to c in 2\/9, k, l?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 38608.41l in millilitres?\nAnswer: 38608410","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 42, -1, -4, -61, -36 in increasing order.\nAnswer: -61, -36, -4, -3, -1, 42","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 0.125 - 163750082\nAnswer: -163750081.875","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 957900?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -15 - -10.5. Let h = -2.6 - p. Let a = 2516 - 2519. What is the second smallest value in -4, a, h?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 45716.6 millilitres in litres?\nAnswer: 45.7166","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(19) + sqrt(19) + sqrt(2736) + 0)**2 + 5 + 3 - (sqrt(76) - (sqrt(76) - (sqrt(76) - (sqrt(76) + 1*sqrt(76)*-4))))\/((sqrt(24)*-1)\/sqrt(6)).\nAnswer: 4*sqrt(19) + 3732","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 50135987 divided by 1\nAnswer: 50135987","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + -3*(2*sqrt(245) + sqrt(245) + -4) + (0 + sqrt(245))*-4 + 2*1*sqrt(245))**2.\nAnswer: -2464*sqrt(5) + 29901","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -189024 to the nearest 1000.\nAnswer: -189000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Work out -34.32 * -205.\nAnswer: 7035.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -18940 + 11682. Let s = c + 195941\/27. What is the common denominator of 68\/297 and s?\nAnswer: 297","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -6.3 + 1.3. What is the biggest value in d, 5\/3, -3?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*z**2 - 4 + z**2 + 0 - 5*z**2 in the form x*z**2 + d*z + r and give r.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*a**2\/3 - 20*a - 418\/3.\nAnswer: -2*(a + 11)*(a + 19)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 999121.1 millilitres?\nAnswer: 999.1211","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -10\/27 and -59\/4302.\nAnswer: 12906","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 231122.\nAnswer: 2, 115561","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 + 35 = 6*n. Let y(q) = -q**3 + q**2 + q + 26. Calculate the remainder when y(0) is divided by n.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2197215*v**3\/4 - 1098609*v**2 + 3*v = 0. What is v?\nAnswer: 0, 2\/732405, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -u**2 + 7*u - 1. Let f be t(7). Let z = -124741\/12 + 10387. Find the common denominator of (67\/10 - f)\/(-1) and z.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + sqrt(475) + 2 - (sqrt(19)*-4*6 + sqrt(19) + 0).\nAnswer: 28*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*-6*-4*sqrt(225))\/(-6*2*sqrt(192)*3).\nAnswer: -5*sqrt(3)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*h**2 - 3*h**2 + 4*h**2)*(2*h - 4*h - 3*h) + 2*h**3 - 5*h**2 + 5*h**2 + 2*h to j*h**2 + n*h + s*h**3 + p and give n.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*m**2\/5 - 12*m\/5 - 3.\nAnswer: 3*(m - 5)*(m + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 48*o**4 + 21*o - 10*o**3 + 20*o**2 - 53*o**4 + 19*o = 0.\nAnswer: -2, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 24 - -23. Let x = r + -49. What is the tens digit of ((-2)\/2)\/(x\/170)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -253*f**2 + 127*f wrt f.\nAnswer: -506","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -53 - -61. Suppose j - 3 = z. Calculate the remainder when 43 is divided by z.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -24 + -1 - (-108 + 104 - -15).\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -j + 5*r = 2, -2*r - 3*r = 5*j + 10 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -70 = 676*r - 690*r. Solve -5*q - 5 = 0, 1 = r*b + 8*q - 9*q for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange c - c**4 - c + (3*c**4 - 4*c**4 + 2*c**4)*(-25 + 12 - 46) - 2*c**4 - 2*c**4 - c**4 to the form p*c**3 + y*c**2 + k*c**4 + l + n*c and give k.\nAnswer: -65","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 26871 and 4134.\nAnswer: 53742","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 14*l**2 - 2 - 10*l**2 + 3*l + 2*l**2 - 3*l**3 + 0*l**3 + 3 to the form p*l**2 + n + m*l + u*l**3 and give n.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-5)\/45)\/(5\/30). What is the closest to -1 in a, -2, -2\/13?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -3*s**3 - 3*s**2 + 6*s**2 + 4*s + 4*s**3 - 2*s - 2. Determine w(-2).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -12383 - -51?\nAnswer: -12332","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:30 AM and 4:28 PM?\nAnswer: 538","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from knnnoqqnonnnnoqoono. What is prob of picking 1 k and 1 q?\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 3 c when four letters picked without replacement from aaaccacaddd.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*u + 0 + 2 = 0 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 27 a factor of 343061?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -784*l = 202*l + 50207 - 3865 for l.\nAnswer: -47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*o + 3*j - 78 = 4*o, -3*o = 4*j - 49. Let r = 47 + o. What is the units digit of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = -3*k - 15. Let c(h) = -h**2 - 9*h. Let w be c(k). Suppose 2*g - 10 = 0, 5*g = 2*q + g + 16. Solve 2 = -q*d - w for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 w and 2 j when four letters picked without replacement from bwwjjxjwwwbbwj.\nAnswer: 90\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 16 and 2896.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 18015?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = t**3 + 18*t**2 + 13*t - 247. What is the remainder when 133 is divided by v(-16)?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(88)\/(sqrt(1152)*2) - (sqrt(1100) + 0 - (1*sqrt(33)\/sqrt(3) + sqrt(11))))**2.\nAnswer: 401291\/576","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 61 + -35. What is the highest common factor of d and 104?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.25905 + -0.05905. What is the second smallest value in -0.12, v, -3, 2, 0.1?\nAnswer: -0.12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 396 + 55*i - 15*i - 396.\nAnswer: 40*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -525.00000546 - -525. What is k rounded to 7 decimal places?\nAnswer: -0.0000055","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -46*l + 26*l**2 + 2*l**2 + 3 - 26*l**2 + (3 + 3 - 4)*(l**2 + 0 + 0).\nAnswer: 4*l**2 - 46*l + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -106259, -212478, -318697?\nAnswer: -424916","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11166529?\nAnswer: 11, 1015139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t**47*t**(-27\/5)\/t assuming t is positive.\nAnswer: t**(203\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -n**2 + 15*n - 26. Let y be c(12). Solve 6*p - y = 11*p for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 20 + 11?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -717 + 245. Let p be (3 - f\/(-164))*(-4)\/10. Let a be ((-1 - -2)*0)\/(-1). Which is smaller: a or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1169 and 25158?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -l - 8. Let s be i(-5). Let z(u) = u**3 + 4*u**2 + 2*u - 3. Let f be z(s). Suppose f = 5*y + 20 - 170. What is the units digit of y?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -45*b + 7*b + 1298 - 27*b - 1300.\nAnswer: -65*b - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -a**3 + 5*a**2 + 4*a + 4. Let c(t) = t**3 + 24*t**2 - 55*t - 867. Let g be c(-25). Let l be -1*6*(-112)\/(-6). Let h = l - g. Give k(h).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3569 (base 14) to base 15.\nAnswer: 2b55","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 21327 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 27 and 873?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 2, j: 11}. Give prob of sequence ddjj.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 84 - ((-119 - -28) + 25)?\nAnswer: 150","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Total of 1492 and 19.769559.\nAnswer: 1511.769559","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 128594 (base 11) in base 3?\nAnswer: 101020122222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 28.7, 2, 6, -6?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -6*i + 70. Let n = -3.056 + 0.056. Which is the closest to i? (a) -5 (b) 1\/4 (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19 - 1 = -5*q for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) be the second derivative of -1\/231*i**7 - 56\/33*i**3 - 16\/11*i**2 - 43\/110*i**5 - 16 - 1\/15*i**6 - i - 73\/66*i**4. Solve v(h) = 0 for h.\nAnswer: -4, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1867*a - 884*a - 871*a + (3*a + 4*a - 5*a)*(-2 - 3 + 3) to the form n + j*a and give j.\nAnswer: 108","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (58\/(-87))\/((-14)\/(-6)). Which is the closest to q? (a) -0.1 (b) 2\/5 (c) -0.04 (d) -0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -3*u. Let q(s) be the second derivative of s**3\/6 - 43*s. Let k = 18 - 20. Determine k*v(i) - 5*q(i).\nAnswer: i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3245 is divided by 756.\nAnswer: 221","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 315 and 14309505?\nAnswer: 315","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) be the first derivative of -4*t**6\/15 - 616*t**5\/25 + 947*t**4\/10 - 2068*t**3\/15 + 479*t**2\/5 - 32*t - 168. Let a(y) = 0. Calculate y.\nAnswer: -80, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-2)\/(70\/(-15) - -4). Solve 4*f + 1 = d*f for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 1, s: 1, h: 2, v: 1, q: 1, g: 1}. Give prob of picking 1 s and 1 h.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-2)\/(-3) - (-23)\/(-3). Let g = f + 12. Suppose 0 = -b - 5*i - 3, 0 = i - 0*i + 1. Solve b*t - t + g = 0 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -k**3 - 29083*k**2 + 0*k - 2*k**3 - 1 + 5*k**3 - 9*k + 29093*k**2 as w*k + m*k**3 + j*k**2 + g and give w.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 28727924 is divided by 41?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x*x**(-6\/7)*x*x**18*x*x\/(x**(1\/14)*x)*x**(-28) assuming x is positive.\nAnswer: x**(-111\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 - 1\/3*w**2 + 1\/6*w**5 - 1\/6*w**3 + 1\/3*w**4 + 0*w.\nAnswer: w**2*(w - 1)*(w + 1)*(w + 2)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (0 - -4 - 5) + 195. Let k = z + -191. What is the nearest to 2\/5 in -0.5, k, -4?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l - 3 = -15. Suppose 54 = l*k + k + 2*z, -2*z = 2*k - 26. Let x(g) = -16*g - 38. Let a be x(-5). Calculate the highest common divisor of k and a.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -2*v**2 + 17*v + 8. Let j be s(8). Solve -5 + 13 = -2*z, 0 = 4*g - 2*z - j for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5901500 divided by 1073\nAnswer: 5500","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 1\/839 and -87\/4.\nAnswer: 3356","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 11734 and 11734?\nAnswer: 11734","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2740*b = 2648*b - 184 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2 or 311\/206?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 + -20 + (20 - -19).\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k + 0*s + 3*s - 5 = 0, 2*k + 5*s - 10 = 0. Let l = 1.986 - 2.905. Let j = -0.081 + l. Which is the closest to 1.8? (a) k (b) 0.5 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y\/(y*y*y\/(y\/(y**(-8)*y)))*y*y\/y**(9\/5)*y**2*y*(y\/y**15)\/y assuming y is positive.\nAnswer: y**(-29\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e and 1 j when two letters picked without replacement from {j: 4, d: 1, e: 2, l: 2}.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -2*i**2. Let w(f) = -2*f**2 + 16*f + 3. Let n be w(8). Let b be (1 + n)\/(-4)*1*-7. Let a(u) = -7 - 15*u + b. Calculate a(p(h)).\nAnswer: 30*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -8.78 and 0.1.\nAnswer: -0.878","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) be the third derivative of -g**5\/6 - 307*g**2. Let b(k) = -64*k. What is x(b(d))?\nAnswer: -40960*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = 15583*u**2. Let c(f) = f**2. Determine a(c(l)).\nAnswer: 15583*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 33 and 552?\nAnswer: 6072","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -d**3 + 91*d**2 - 2042*d + 60. Determine w(51).\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:32 PM and 8:12 AM?\nAnswer: 520","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 43037 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 19156*b*w - 8*w - 11481 wrt b.\nAnswer: 19156*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -27024, -26751, -26306, -25689, -24900, -23939, -22806?\n\"Answer: 86*y**2 + 15*y - 27125","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 735?\nAnswer: 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 695 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -197*q = 256*q - 51642. What is the lowest common multiple of q and 91?\nAnswer: 10374","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -l**3 + 15*l**2 - 15*l + 9. Let g = -240 + 254. Determine b(g).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -224*j = 91*j + 58*j - 6341. Solve -3*f + 8 = -a, 2*a + 8*f - j = 3*f for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (118\/4)\/((-81)\/90 + 1) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*l + 16 = 2*k, 3*k = -4*l + 3*l + 8 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1386592, 1386593, 1386594?\nAnswer: 1386595","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Are -1022977 and 261 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2237 is divided by 706.\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a + 71 = s, -2*s - 2*s + 4*a + 320 = 0. Suppose -9*b + 52 = -s. Calculate the remainder when 58 is divided by b.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3*6\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 91980429193 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 31 + 0 + -3 + 48\/(-12). Solve w = -2*q + 32 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 667348?\nAnswer: 2, 11, 29, 523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 292.1794 millilitres to litres.\nAnswer: 0.2921794","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 12623467 to the power of 1\/3, to the nearest integer?\nAnswer: 233","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2\/3, 1, -0.4, 5, -4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 5 - 9. Let b be (15\/2)\/5*f. Let r be ((-1)\/(-2))\/(b\/4). Are -1\/2 and r nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.167336ng to micrograms.\nAnswer: 0.000167336","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 12614000 to the nearest one hundred thousand.\nAnswer: 12600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 7\/(7\/(-2)) + 27 a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -277.07 rounded to the nearest 10?\nAnswer: -280","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -24, -3, 13 in descending order.\nAnswer: 13, -1, -3, -24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 0.023 times -146189\nAnswer: -3362.347","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 36 - 10. Suppose 5*o + u + 53 = 3*u, 2*o = 2*u - g. Calculate the least common multiple of (-57)\/o + 10\/15 and 13.\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -98, -107, -114, -119, -122?\n\"Answer: b**2 - 12*b - 87","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 147 + -146.51. What is the third biggest value in -3\/5, f, 2?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: c6 (base 14) to base 16\nAnswer: ae","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 83577?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*h = -15*h - v - 426, -5*h + 2*v = -712. Calculate the remainder when h is divided by 63.\nAnswer: 14","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 gggygyggygyggg?\nAnswer: 20\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -16*j. Let c be (-1)\/6 + (-49)\/(-6). Let p = 10 - c. Let v(b) = p*b - 10*b + 7*b. Determine d(v(s)).\nAnswer: 16*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1 - 3. Let n = -244\/7 - -35. Sort n, 3\/8, f in descending order.\nAnswer: 3\/8, n, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 25213\/5460 - 60\/13. Let c(p) be the third derivative of 0 + 0*p + 0*p**3 - 1\/210*p**5 + 0*p**4 - x*p**6 - 9*p**2. Solve c(z) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 10778476 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 102 + -3?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) be the second derivative of y**7\/42 - 28*y**6\/15 - 15*y**4\/4 + 44*y. Find the third derivative of l(t) wrt t.\nAnswer: 60*t**2 - 1344*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 512?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 8\/28*7\/(-3). Which is the second smallest value? (a) -2\/7 (b) v (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -d**3 - 11*d**2 - 4*d - 2. Let p be q(-13). Let w = -219 + p. Suppose 5*s - n - 190 = 2*n, -n = 4*s - w. List the prime factors of s.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 349*b - 61*b**2 - 94*b - 89*b - 94*b - 72*b.\nAnswer: -61*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is -2 != -8215?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (28\/119)\/((-10 - (0 + -1))\/((-405)\/(-270)))?\nAnswer: -2\/51","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -31002 (base 5) to base 12\nAnswer: -11aa","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 17 is divided by 5.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -9.847 + 11.847. What is the biggest value in 0.0436, -0.2, d, 1?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (3 - -4)\/(-21) + 2156\/6 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ppapzkpzzgg. What is prob of picking 2 p, 1 g, and 1 z?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a - 15 - 129 = -d, -4*a = 12. Let y = 262 - d. Find the second derivative of -111*i + 10*i**5 - y*i + 220*i wrt i.\nAnswer: 200*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4*g**3*u - 2*g**3 - 87*g**2*u + 2733*g*u wrt g.\nAnswer: 24*g*u - 12*g - 174*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11 + 6 + 15 + o + 44.\nAnswer: o + 54","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 3769 - -40?\nAnswer: 37a9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 8 + -20. What is the third smallest value in 1\/2, y, -5?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 53487613 to the power of 1\/3, to the nearest integer?\nAnswer: 377","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 3\/(-6)*0 + (-2 - 2). Sort -5, 1, f.\nAnswer: -5, f, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1580)\/(-3792))\/(2\/(-12))*4\/(-245).\nAnswer: 2\/49","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3*6\/243)\/((-3)\/(-18)).\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = k**3 - 2*k**2 + 6*k + 1. Let b be w(5). What is the least common multiple of 2 and (-6)\/(-15) - b\/(-10)?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 694919?\nAnswer: 694919","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/12*(0\/17)\/(-13)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = 758*s - 2 + 2 + 270*s - 4*s. Let p(n) = -2*n**2. Give p(r(o)).\nAnswer: -2097152*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -192 + 759\/4. What is the common denominator of 59\/7 and w?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 66 and 36.\nAnswer: 396","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) be the first derivative of -c**4\/8 + 5*c**3\/6 - c**2 - 13. Let s(r) = 0. What is r?\nAnswer: 0, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2b1 (base 14) in base 11?\nAnswer: -458","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*m**5 + 6*m**5 - 2*m**5 + 0 + m**5 + 0 + (2*m - 2*m + 2*m**2)*(5*m**2 - 5*m**2 - 2*m**3) - 2*m**5 + 3*m**5 - 5*m**5.\nAnswer: -5*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -73 - ((-1338)\/(-2230) - 83\/5)?\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 98756.46 hours to days.\nAnswer: 4114.8525","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + 0*x - 2*i + 20005 = 0, 2*i = x - 6679. Suppose -271 = k - x. Suppose -m - k = -3*m. What is m rounded to the nearest one thousand?\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = i**3 + 41*i**2 + 89*i - 50. What is the least common multiple of n(-38) and 300?\nAnswer: 900","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 27 in -21, 0, -2\/7, 1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-118)\/118*(-1391)\/(-78)*-6.\nAnswer: 107","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 9}. Give prob of picking 2 b.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -11\/17536 and 7\/238972.\nAnswer: 1047653248","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -7*j**3*m*v + 10639266*j**2*m*v - j*m*v + j*m - 3*j*v - j - 5*m*v + 228*m - 105*v wrt j.\nAnswer: -42*j*m*v + 21278532*m*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -104865.2554 rounded to the nearest one thousand?\nAnswer: -105000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ksbblbzqsssk. What is prob of sequence qsqk?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -2300000*h - 2. Let r be g(-2). Suppose 0 = x + 3*t + 2299994, -2*t = 2*x - t + r. Round x to the nearest one million.\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = -4*f, -f - 6 = -2*x - 2. Suppose -y + 5*y = -x. Calculate the common denominator of 58\/27 and 3\/(55 + y)*(-1683)\/(-15).\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -6.9, 4, 3\/2, -4\/9, 0?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2506576 by 4.\nAnswer: 626644","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand -s**5 - 9*s**5 + 12*s**5 + (-4*s**2 + 2*s**2 + s**2)*(9*s**2 - 9*s**2 - 5*s**3).\nAnswer: 7*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3810.749 - 3830.74900085. Let r = -4.6 + -15.4. Let c = k - r. What is c rounded to 7 dps?\nAnswer: -0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2 (base 16) to base 12.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i - 7*i - 20 = 0. Let t be (2\/i)\/(-1 + 2). Let r = 0.9 - -0.1. Is t at most as big as r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -100000100101000 (base 2) to base 14\nAnswer: -6116","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -6*b - 16. Let v(y) = -2*y - 33 - 9*y + 3*y - 4*y. Let k(t) = -13*i(t) + 6*v(t). Find the first derivative of k(f) wrt f.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1212634?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 69553?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2 = -k + 2*j - 3, -4*k + 2*j - 10 = 0 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 5\/((-10)\/(-4)) - -7. Suppose -3*k = 51 + h. Let z = k + 37. What is the tens digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -5*a - 4. Let b(r) = 7*r + 6. Let z(k) = -k - 1. Let n(w) = b(w) + 3*z(w). Let m(h) = 2*j(h) + 3*n(h). Calculate m(4).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 27128 is divided by 13517.\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -11144 (base 5) to base 13\nAnswer: -496","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -139 - -109 - (-2 - 43)\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-4)\/5 - (-4)\/((-40)\/(-8438))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 l when three letters picked without replacement from lklkkklkklk?\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1110 + -111?\nAnswer: 333","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -107781620 divided by 26945405?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -u**2 - 30*u - 96. What is d(-6)?\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 539*i**3 + 4*i + 8*i**2 + 1613*i**3 - 2*i.\nAnswer: 2152*i**3 + 8*i**2 + 2*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -3, 4, -17, 19, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1067 by 38.\nAnswer: 1067\/38","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express -2055*a**2 + 6160*a**2 - 10 - 2052*a**2 + 13*a - 2051*a**2 in the form n*a + r + v*a**2 and give r.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in fifty-nine quarters of a micrometer?\nAnswer: 14750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -4*g**3 - g**2 - g. Let q be p(-1). Let z(o) = o**2 - q + 5 + o**2 - 2 - 5*o. What is the tens digit of z(4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x - 2*x = -20. Suppose r + 29 = x*o - 75, 0 = -5*o + 2*r + 133. Let y = -8 + 17. What is the remainder when o is divided by y?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 1\/9386150 and 1\/39300.\nAnswer: 56316900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = u**3 - 4*u**2 + 5*u + 2. Let j be s(2). What is the greatest common divisor of j and 28?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p*p**(-18)\/p)\/p)**(-1\/12)*((p*p\/(p*p*p\/(p\/(p\/p**(10\/11)*p))))\/p)\/p**(-5\/3) assuming p is positive.\nAnswer: p**(51\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -9 + (-5 + 4 - 9) + (6 - 2)\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 22377570?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 6848?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = j**3 + 849*j**2 - 696817*j - 7679. Calculate w(512).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(12) + (sqrt(972)*-2 - sqrt(972)))\/sqrt(6).\nAnswer: -26*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(((-2*sqrt(65))\/sqrt(5))**2 + ((sqrt(52))**2 + sqrt(13))*-3 - (2 + (sqrt(1300) + 5 - sqrt(13)))).\nAnswer: -333 - 36*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) be the third derivative of g**4\/24 + 3*g**3 - 4*g**2. What is the lowest common multiple of y(-8) and 16?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = 15*t**2 + 3*t. Let m(n) = 4*n + n - 2*n + 6*n - 4*n + 30*n**2. What is -5*f(w) + 3*m(w)?\nAnswer: 15*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 183187 a multiple of 222?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 246131 to the power of 1\/8, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u**3 - 81180*u**2 - 162348*u = 0. Calculate u.\nAnswer: -27058, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, 20, 9, -2, 0, -5 in descending order.\nAnswer: 20, 9, 6, 0, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 85955?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -35\/3051 and -32\/108141?\nAnswer: 973269","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3 - -10. Let u(x) = x**3 + 15*x**2 - 5. Let n be u(-15). Calculate the remainder when ((3 + n)*1)\/((-1)\/18) is divided by l.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*-5*5 - 139\/((-5838)\/252).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 21441301 - 4?\nAnswer: 21441242","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.004518319428 rounded to 5 decimal places?\nAnswer: -0.00452","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-13)\/((-351)\/18) + -18124*28\/(-12).\nAnswer: 2, 5, 4229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 526119417 and 306?\nAnswer: 153","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: ((-48)\/6 + 7)\/(2\/4)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = 6*o + 7. Let r be b(-6). Let p = r + 130. List the prime factors of p.\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3486401 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 21.9804 and -1108552?\nAnswer: 1108573.9804","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 46, 63, 92, 139, 210?\nAnswer: 311","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -50a87 (base 13) in base 6?\nAnswer: -3033250","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -8, -9, 1537?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is -39\/1039 at least as big as 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 629752.\nAnswer: 2, 223, 353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -143283, -286676, -430071, -573468?\nAnswer: -716867","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1a02c (base 13) to base 8.\nAnswer: 142611","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 3\/(1*2\/(-6)). Let m = n + 14. Suppose -m*w + 23 = 4*u, -u = -4*w - 1 + 11. Solve 2*s - 13 = 2*d - 7*d, -w*s = -3*d + 12 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 times 0.22\nAnswer: 0.88","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -2 + (3 + -1 + -4 - -3). Let k be (a\/3)\/(9\/(-189)). Let g(i) = -i**3 + 8*i**2 - 9*i - 7. What is g(k)?\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-4518)\/(-11295))\/(2\/60*2)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*s - 4*s + 4*s)*(3*s**2 - 8*s + 8*s) + 2*s**3 - 5*s**3 - 5*s**3.\nAnswer: -14*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -62 + 22. Let y(u) = 25*u**2 + 40*u. Suppose 6*t + 6*t + 57 = -7*t. Let j(w) = -2*w - 2*w - 2*w**2 + w. Give m*j(p) + t*y(p).\nAnswer: 5*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 226 - 205. Does 21 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1734)\/(-238) - 4\/14.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*q = -23*q + 96. Let i be (-504)\/(-51) + (-8)\/(-68). Let d = q - i. What is the units digit of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1753\/4 in 0.5, 0, 3\/4, -12?\nAnswer: -12","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-188)\/2*(-15)\/5*1. What is the greatest common factor of x and 3243?\nAnswer: 141","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1799 + -1793. Solve -104*g + 101*g - t = 0 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.07 + 0.99. Let f = 0.06 - z. Suppose -3*v - 15 = -0*v. What is the nearest to f in v, -2, 1\/3?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-8)\/(-2) - 4)*1. Suppose -3*p + u + 9 = 0. Let i be 3\/(-5) - (-2)\/(-5). Sort p, -5, i in descending order.\nAnswer: p, i, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = 2*m + 2. Suppose 0*j - 10 = 5*j. Let f = -5 - -10. Let k(s) = s**2 + 5*s + 5. Let o(r) = f*z(r) + j*k(r). Let t(i) = 2*i. Determine o(t(l)).\nAnswer: -8*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*((-2*(sqrt(187) + (-2*sqrt(187) - sqrt(187)) + sqrt(187)) - sqrt(187))\/sqrt(11))**2.\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -59*r - 1444*r**2 - 315*r + r**3 - 293*r - 2*r**3 + 0*r**3 wrt r?\nAnswer: -6*r - 2888","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -58 + (-741)\/(-62 - -23)?\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2*-10*(-8)\/(-32)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.010427 to 5 dps.\nAnswer: 0.01043","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 divided by 3790509.\nAnswer: -4\/3790509","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert -660 (base 8) to base 4.\nAnswer: -12300","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -5*s. Let v be j(-6). Suppose 0 = -3*k - 3*t + 21, -5*t = -3*k + k + 42. Let o = k + v. Is o a multiple of 28?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 575 and 15.\nAnswer: 1725","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -5523 + 5528. Solve -3*q - w = 5*d + 7, 4*q = 4 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = 59*l + 199. Calculate n(-3).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = 12*y. Let a(q) = -175 + 353 + 13*q - 178. Give a(t(b)).\nAnswer: 156*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 19 minutes after 9:05 PM?\nAnswer: 9:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = 25*i - 2. Let a(m) = 1919*m. What is v(a(l))?\nAnswer: 47975*l - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = 6*p**2 - 455*p + 403. What is h(75)?\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 328018947 divided by -109339649.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0\/1)\/(14\/(-7)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2*(-1)\/2*7. Let x = d + 11. Let p(n) = 3*n**2 + 6*n - 3. Let z(m) = -m**2 - 3*m + 2. Let j(g) = 2*p(g) + 5*z(g). Determine j(x).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24979853 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1)\/(-10))\/(264\/(-440))?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1.1053 + 1.2434. What is t rounded to zero decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.09128305 rounded to 4 decimal places?\nAnswer: 0.0913","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3182524 by -478.\nAnswer: 6658","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 5038560 to the nearest integer?\nAnswer: 171","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 7\/8 of a millennium?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 1572173, 1572174, 1572175?\n\"Answer: p + 1572172","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**8\/((n**6*n)\/n)*n**23*n*n*n*n\/n**14 assuming n is positive.\nAnswer: n**15","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = 6*u**3 - u**2 - 1. Let i(a) = a**3 - 4*a**2 - 3*a - 8. Let j be i(5). Calculate c(j).\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = 14*k**2 + 2*k + 1. Let v be b(-1). Let n be 197\/3 - (-2)\/6. Let d = n - v. Is d prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -k**3 - 11*k**2 - 9*k + 9. Let p be s(-10). Let y be (1 + 12\/(-9))\/p. Which is the biggest value? (a) y (b) 0.5 (c) 6\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dncddddslrlsdddddd. What is prob of picking 1 r and 1 l?\nAnswer: 2\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*n - 12 - 15 = 0. Suppose 0 = -9*g + 87 + n. Calculate the greatest common factor of g and 70.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 826\/10 + -5*8\/(-100) is divided by 12?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + ((-4 + (sqrt(637) + -1 - sqrt(637)))*3)**2 + 3)*-4.\nAnswer: -904","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3596*f**2*z**2 - 2477*f**2*z wrt z?\nAnswer: 7192*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1.25 + -1.75. Which is the second smallest value? (a) -69 (b) k (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 386 minutes before 8:47 AM?\nAnswer: 2:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-192)\/(-108))\/((-16)\/(-72)).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6.81781 kilometers to micrometers.\nAnswer: 6817810000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 1\/5, -28, -0.0468 in ascending order.\nAnswer: -28, -0.0468, 1\/5, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3439992?\nAnswer: 2, 3, 143333","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (20 - 9 - 31) + (5 + 3 - -41)\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-11252)\/485 - 4\/5. Which is the closest to 0? (a) s (b) 1\/2 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(4500) - sqrt(4500))\/((sqrt(90)*3)\/sqrt(10)).\nAnswer: 10*sqrt(5)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = a - 9. Let w be q(12). Suppose 0*u = w*u - 9. Solve 4*l + 1 - 15 = -u*n, -l - 5*n - 5 = 0 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 241760 is divided by 17?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -10745 + 10823.77. Let r = 77.31 + 1.69. Let b = j - r. What is b rounded to 1 dp?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -3*l + 9. Let q(p) = -1. Let k(b) = -h(b) - 12*q(b). List the prime factors of k(3).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*h**5 - 22*h**3*x + h**2*x - 160*h - 2*x wrt h.\nAnswer: 40*h**3 - 132*h*x + 2*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -0.03*0.8169924\nAnswer: -0.024509772","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -20 (b) 1\/4 (c) -151.2 (d) 2\/17 (e) -1\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = s**2 + 2*s - 3. Let i be d(-3). Let b be i\/(1 - (-6)\/(-2)). Which is greater: b or -1\/2?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -111316, -445284, -1001892, -1781134, -2783004, -4007496?\n\"Answer: f**3 - 111326*f**2 + 3*f + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -78*-0.74.\nAnswer: 57.72","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3.1 + -1.59. Let j = -0.51 + k. Let t be ((-3)\/(-15))\/(-1 + 2). Which is the smallest value? (a) j (b) 1\/2 (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1106150586 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*y - u + 193, -64 - 20 = 2*y + 2*u. Let n = -42 - y. Suppose -14*a = -n*a - 27. Solve -a*d - 2*d + 10 = 0 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 2, v: 4, p: 1}. Give prob of picking 3 v.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*f**4 - 1540*f**3 - 9144*f**2 - 18224*f - 12128.\nAnswer: -4*(f + 2)**3*(f + 379)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 21*g + 25*g - 44*g + 8.\nAnswer: 2*g + 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 26722\/(-120249) - ((-2)\/5)\/(18\/10).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (-51 + 5 - -46) + 37\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -a**2 - 988*a. Let r(p) = -2*p. Give r(o(w)).\nAnswer: 2*w**2 + 1976*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = c**2 - 7*c + 8. Let t be s(5). Let x be (t\/(-6))\/(14\/168). Let b(g) = g - 4. Let a be b(7). Solve i - w + 2*w = 0, x*i + a*w = 0 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*c + 5*v + 35, 4*c + 4*v - 21 - 31 = 0. Which is smaller: c or 12?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*i - 3*x - 61 = -55, 0*i + 3*i - 8 = 4*x for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: Factor 2*o**3 + 60*o**2 + 208*o.\nAnswer: 2*o*(o + 4)*(o + 26)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 5 and 50?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -x - 753*u - 23 = -749*u, -2*x = -11*u - 49 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -28 + 2*u + 50 - 20. Let j(h) = -3*h - 3. Give 5*b(i) + 4*j(i).\nAnswer: -2*i - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2205 and 990?\nAnswer: 48510","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-4\/11)\/g**(-3))**14 assuming g is positive.\nAnswer: g**(406\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 43 is divided by 17.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 285 = 3*f + p + 10, 4*f + 4*p - 380 = 0. Let s = -73 + f. What is the third derivative of -16*l**2 - s*l**5 + 15*l**2 + 2*l**5 wrt l?\nAnswer: -900*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 350211 to the nearest integer?\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*s**2 + 53192*s - 353673608.\nAnswer: -2*(s - 13298)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -25*f**3*y - 4886*f**3 + f**2*y - 161*f - 7930*y with respect to y.\nAnswer: -25*f**3 + f**2 - 7930","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 - (8 - (-5 - -3) - 10)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*n + n - 2*n + (3*n + 3*n - 5*n)*(-8 + 7 - 17).\nAnswer: -16*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00232398 to four decimal places.\nAnswer: 0.0023","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in m + 5270*m**2 - 608*m**2 + 0*m.\nAnswer: 4662*m**2 + m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + 2*j + 116 + 288 = 0, 4*j = -3*a + 578. Does 33 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 47 - 33. Let g = -79131 - -79141. Is g <= d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-o + 3 - 3)*(o**2 + 0*o**2 + o**2)*(-17*o + 219 - 219) to t*o**4 + u*o**3 + f*o**2 + w*o + m and give t.\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3541 = 3*q - 4*a, -2*q + 3*a - 2362 = a. Let f = -7069\/6 - q. What is the common denominator of 25\/6 and f?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*m - 5*p = 2*m - 45, 0 = -4*m - 3*p - 1. What is the common denominator of 68\/15 and (-5)\/90*19*(-21)\/m?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3 by 3.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*x - 2*x - 2*x + 2*x.\nAnswer: -5*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 80343264 to the nearest integer?\nAnswer: 432","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*l = -5*b + 18, 0 = -4*l + 19 - 43 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 46252.0052 - 46221. Let w = t + -31. What is w rounded to 3 decimal places?\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = 3*n - 0. Let j = n + 4. Which is bigger: 4 or j?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 + 0 + 3306*b - 3288*b + 3.\nAnswer: 18*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = 40*g**2 - g. Let j be c(1). Let a(h) = -h**2 - 9*h - 9. Let s be a(-8). Let u be (-2 - s - 3) + 17. Calculate the greatest common divisor of j and u.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -341 + 725. Let x = r + -383.99892. Round x to 4 decimal places.\nAnswer: 0.0011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*t**4 - 21*t**3 + 9*t**2 + 69*t + 42.\nAnswer: -3*(t - 2)*(t + 1)**2*(t + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 66, 140, 264, 438, 662, 936, 1260?\n\"Answer: 25*l**2 - l + 42","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 134587729 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 + v**3 - 2 + (-4*v + v + 2*v)*(5*v**2 - v**2 + 0*v**2))*(2 + 4 - 4) to y*v**2 + h + x*v + l*v**3 and give l.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-4)\/8)\/(10\/(-8)). What is the closest to a in -5, 1, -4\/7?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/160 in 5, -0.2, -1\/24, 83?\nAnswer: -1\/24","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 51 or 1152\/23?\nAnswer: 1152\/23","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 6.2 to 0 decimal places.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((y**(-2\/13)\/y)\/y)\/y)\/y)**(15\/7)*y**(-2)\/y**(2\/19) assuming y is positive.\nAnswer: y**(-19030\/1729)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3 - 2.8. Let f = -455\/1852 - 2\/463. Which is the third biggest value? (a) x (b) f (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1 - 7. Let p = r + 7.7. Let b = -0.04 - 1.96. Put 2, p, b in descending order.\nAnswer: 2, p, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36 = -4*w - 12. Calculate the lowest common multiple of w and (928\/40 - 7) + (-1)\/5.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2a86 (base 11) to base 4\nAnswer: 331332","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u + 50*g - 1494539 = 45*g, 0 = 2*g - 12. Is u composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**(-2)\/y)\/y)**(-42\/11)*((y**1\/y*y)\/y)**(-21) assuming y is positive.\nAnswer: y**(168\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 390, 338, 286?\nAnswer: 234","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = o**3 + 5*o**2 + 9*o + 4. Let m be k(-6). Let c = 132 + m. Is c prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 125.9733 and 0.\nAnswer: 125.9733","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 162285 is divided by 46.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 1206 a factor of 52014780?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-4)\/(-5) + (-276562)\/(-10). Let o = 1548847\/56 - m. Calculate the common denominator of 109\/14 and o.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2352831*o**3 - 10*o**2 + 3489565?\nAnswer: 7058493*o**2 - 20*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.5 and -1896.\nAnswer: -948","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (6\/4)\/(((-135)\/(-372))\/(-3)). Let o(j) = 4*j + 131. Let p be o(-36). Which is bigger: m or p?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4\/14 - (-124)\/7.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -8225 + 8228. Let o = 1.94 + 0.06. Let j = -0.3 + 0.7. Which is the nearest to 0.3? (a) o (b) r (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 32232 (base 5) to base 10\nAnswer: 2192","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (5*-1)\/((-6)\/6). Suppose -o - 7 = j - 22, a*j - 18 = -2*o. Solve -17 = -2*c + 3*c + 4*b, 2*c + o = -5*b for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.088 and 10004?\nAnswer: 10004.088","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 36608?\nAnswer: 2, 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 30\/(-80)*1848\/(-2541).\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (-l**3 - 2*l**3 + 4*l**3)*((2 + 0 - 1)*(3*l + 0 + 0) - 5*l + 2*l + 5*l) in the form q*l**2 + n*l**4 + r*l**3 + f*l + b and give n.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.126, -1\/6, -5, 26\/5?\nAnswer: 0.126","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 108 by -21209.\nAnswer: -108\/21209","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (-7684)\/(-374) - (-108)\/(-198)\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mmmiiimmmmimmmimmmm. What is prob of picking 3 i and 1 m?\nAnswer: 35\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -171 - -16. Let y = 171 + a. Solve 5*u = -q, 4*q + 5*u = u + y for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:39 AM and 7:26 AM?\nAnswer: 107","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 9, v: 4, a: 3}. Give prob of picking 2 v.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 2120013 (base 4) in base 9?\nAnswer: 14316","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 73\/7 - (-1020)\/(-714). Solve 19*f + i = 16*f for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) be the second derivative of 2\/5*y**5 + 5\/4*y**4 + 0 + 0*y**3 - 2*y + 0*y**2. What is the third derivative of c(w) wrt w?\nAnswer: 48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o*(o\/(o**(-3\/10)*o)*o)\/o*o*o)**32*((o**(-29)\/o)\/o)\/(o**(-13)*o) assuming o is positive.\nAnswer: o**(433\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 26119, 26121, 26125, 26131?\nAnswer: 26139","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 74791\/9 - 8302. Let i = 43551 + -11278958\/259. Let k = i - -9\/37. Find the common denominator of j and k.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 1750210690?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**(-2\/49)\/b)\/b)\/(b**(1\/4)*b) assuming b is positive.\nAnswer: b**(-645\/196)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a = 2*h - 1 + 3, 10 = 5*a - 5*h. Solve 0 = -4*j + a*m - 4, 1 + 1 = 2*j + m for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1 + 28. Suppose 7 = 2*u - a. Let c = -2 - -4. What is the least common multiple of u and c?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(48))\/sqrt(4))\/(sqrt(44)\/(1*sqrt(11))).\nAnswer: -sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 85\/4 of a milligram in micrograms?\nAnswer: 21250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r - 62 = -10. Let f = r - 61. Let k = 32 + f. Does 22 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 6*a**2*x**3*y + 224*a**2 - 12*a*x**2*y - 7*a + 6*x**3 wrt a?\nAnswer: 12*x**3*y + 448","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -217*n + 1284 = -235 for n.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6097133066.\nAnswer: 2, 23, 271, 489101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2532?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -41 = f + 4*w, -f + 3*w = -2*w + 32. Let c = f - -48. What is the remainder when 50 is divided by c?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 48*c + 1599 = -83*c + 8*c for c.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1756?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 36 + -28. Factor 5*k**4 - 9*k**3 + k + 7*k**2 + o*k**5 - 9*k**5 - 3*k.\nAnswer: -k*(k - 2)*(k - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*w = -k - 16, -3*k + 4*w = 34 - 43 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*v - 11*v + 48. Let c be (-2)\/(-6) - (-5)\/(-15). Solve v = f - c for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3923687516 to the power of 1\/3, to the nearest integer?\nAnswer: 1577","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8887823 is divided by 6.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = 98*k - 64. Is 23 a factor of l(10)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 93980, 187960, 281942, 375926, 469912?\n\"Answer: x**2 + 93977*x + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.02? (a) -3 (b) 2\/3 (c) 3\/7 (d) -0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 152044405 to the nearest integer?\nAnswer: 534","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -o**2 + 5*o + 2. Determine n(6).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-1062)\/54 + ((-4)\/(-6) - 1). Let a(w) = -2*w + 26. List the prime factors of a(y).\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o - o = -0*o. Let h(l) = l**2 + 3*l + 3. Let p be h(-2). Sort o, 5, p in ascending order.\nAnswer: o, p, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*z + r + 87 - 71 = 0, -3*z + 4*r - 11 = 0 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 13232.556 months?\nAnswer: 110.2713","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -266 + 398. What is the remainder when p is divided by 36?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 908466?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2\/49957 - 58649524\/149871. Let f = -18907\/48 - v. Find the common denominator of f and 9\/16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(49)\/(sqrt(7) + sqrt(567)*2 + sqrt(567)) + 1 + (sqrt(168)\/(sqrt(3) - sqrt(12)\/sqrt(4) - sqrt(3)))\/(sqrt(968)*1 - sqrt(8)).\nAnswer: -9*sqrt(7)\/140 + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: What is 92584009 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: Suppose -3*b + 4*o - 3 = 0, 2*b - 3*b + 9 = 2*o. Suppose -63 = -0*i - b*i. Let w = -13 + i. What are the prime factors of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 982 - 13?\nAnswer: 96b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -921*s = -880*s + 82. Sort 1, s, 0, -231 in decreasing order.\nAnswer: 1, 0, s, -231","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 90*f**5 + 1128*f**4 - 402*f**2 - 3*f - 2?\nAnswer: 5400*f**2 + 27072*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -1, -11, -1.4?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -2124*-8.4\nAnswer: 17841.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-11 - -8)*(-2 - -1). Let r be (-2)\/2*l\/(-27). Let p = -10 + 9. Sort r, p, 1\/5 in increasing order.\nAnswer: p, r, 1\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 20 minutes after 12:27 PM?\nAnswer: 12:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2736)*1*6 - 6*2*sqrt(2736))**2 - (sqrt(76) - -1*(sqrt(76) - (sqrt(76)*-2 - sqrt(76))) - sqrt(76))\/(3*(sqrt(4) + 2*sqrt(4))).\nAnswer: -4*sqrt(19)\/9 + 98496","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-12)\/(-216))\/(((-2)\/8)\/(-1)). Which is the closest to -1\/4? (a) p (b) 1\/3 (c) -9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 16 + -4. Suppose 3*u = -u + m, s = -5*u + 18. Solve 2*b = -3*p + 2, s*b - 8 = 2*p + 2*b for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + sqrt(1300)*-1 - (2*sqrt(39)*-1)\/sqrt(3) - (-6*(sqrt(208) + -5 + 1 + sqrt(208)) + -4))**2.\nAnswer: -2000*sqrt(13) + 21425","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1240538 and 18278?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from sssshsh. What is prob of sequence sss?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2058377675?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -56*s - 9. List the prime factors of n(-48).\nAnswer: 3, 19, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = 3*b**3 + 4*b**2 + 4*b + 4. Let o(p) = 2 + 5*p + 1 + 2 + 4*p**3 + 7*p**2 - 2*p**2. Let m(v) = -4*o(v) + 5*s(v). Factor m(a).\nAnswer: -a**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3445*s**2 - 7459*s**2 + 10911*s**2.\nAnswer: 7*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 1018\/3 at most 2\/29?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:08 PM and 1:20 AM?\nAnswer: 132","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 571457, 570703, 569951, 569201, 568453, 567707, 566963?\nAnswer: 566221","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 9*u**2 - 1 - 371 - 1320*u**3 + 1302*u**3 wrt u?\nAnswer: -54*u**2 + 18*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1190\/(-17136)*621\/(-805)\nAnswer: 3\/56","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7 = -4*w - h, 14 - 1 = -2*w + 5*h for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 206725?\nAnswer: 5, 8269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 40 a factor of 1499800?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = p + 5*q + 20, -q + 4*q = 3*p - 12. Suppose 7*c + 7 = 8*c. Suppose -21 = -u - 3*f, -10*u = -c*u + 5*f - 47. Solve u = -3*s - p for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(33)*1)\/sqrt(3) + -4)*-6.\nAnswer: -6*sqrt(11) + 24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r = -2*h + 18, -3*h + 11 = -5*r + 3*r. Suppose -12 = -2*t - r*t. Suppose -1 + 25 = 3*u - t*g, 3*g = -15. What is the units digit of u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000134 rounded to 5 decimal places?\nAnswer: -0.00013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/8 of a day in hours?\nAnswer: 15","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-2\/11))**15*(k*(k*k**(-5\/4)*k)\/k*k*k*k*k)**1 assuming k is positive.\nAnswer: k**(89\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.036734 rounded to two decimal places?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -7*m**3 - 3*m + 3. Let w(s) = s**3 + s - 1. Determine 2*a(g) + 6*w(g).\nAnswer: -8*g**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9907 is divided by 989.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 3505 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z - 7932 = -5*u, 6 = -4*z + 2. Suppose -11*i = -u - 1339. Is 19 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) be the third derivative of 0 + f**2 + 0*f + 1\/40*f**5 + 9\/4*f**3 - 3\/8*f**4. What is t in n(t) = 0?\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.411 + -0.215. Let s = -0.696 + n. Let q = 3.8 + 0.2. What is the second smallest value in s, q, -5?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + 212 = s. What is the remainder when s is divided by 14?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 122 is divided by 45?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -0.2, -18, 3\/4, 2, 1.1, -256\/5?\nAnswer: 1.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 9304 * -0.11\nAnswer: -1023.44","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 297*p = 5317 + 3440 + 3123 for p.\nAnswer: 40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -k**2 - 7*k - 10. Let h be s(-4). Let b(l) = h*l**2 + 5*l**2 + 5*l**2 + 8*l**2. Let z(o) = 0 + 8 - 8 - o**2 - o**2. Give z(b(n)).\nAnswer: -800*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -h**2 + h + 114. Let j be k(0). Suppose 5*y = 2*l - 484, 2*l - 4*y - 602 = -j. Does 28 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1303, -1324, -1345, -1366, -1387, -1408?\nAnswer: -1429","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 102730 to the power of 1\/2, to the nearest integer?\nAnswer: 321","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 763824?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = 10*r + 137*r**3 - 311*r**3 + 15 - 6*r**2 + 175*r**3 - 4*r**2. Determine k(8).\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 106\/27 - -661\/540. Let n = 1028 + -515. Let c = n - 16411\/32. Find the common denominator of o and c.\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 226416 and 48.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -200*p + 199*p - d + 243, 2*p - 426 = 3*d. Let o = 1 + -5. Let r be (-290)\/(-14) - o\/14. Calculate the highest common divisor of p and r.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -1375 + 3?\nAnswer: -1372","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (-1 - 3)*4\/104\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4427332 millilitres in litres?\nAnswer: 0.0004427332","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -17 - 61991*i**3 + 62012*i**3 - 9 in the form m*i**3 + y*i + v + q*i**2 and give q.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -93.2 - -93.7. What is the nearest to 20 in -1, k, -0.48?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 346903 is divided by 282.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 715636493.\nAnswer: 11, 13, 5004451","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-8)\/14)\/(271\/9485). What is the fourth smallest value in 1, -0.2, 35, c?\nAnswer: 35","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -5 and -213808471519?\nAnswer: 213808471514","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 4854, 9698, 14484, 19182, 23762, 28194, 32448?\n\"Answer: -5*m**3 + m**2 + 4876*m - 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4 (base 13) to base 12.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 182 divide 517972?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*n - 0*n - 2*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 13266?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n - 3 = -3*n + f, 9 = -2*n - f. List the prime factors of (-1 - -2) + 930 - n.\nAnswer: 3, 311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8207 is divided by 10?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1344 and 3?\nAnswer: 1344","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - h**3 - 1)*(-423141 - 1199*h + 423141)*(-3 - 2 + 4).\nAnswer: -1199*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 416 - 261800*r**3 - 416.\nAnswer: -261800*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1.543 + 2.543. Suppose w + w - 6 = 0. Sort -1, w, g in increasing order.\nAnswer: -1, g, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x + 37 + 93 = 0. What are the prime factors of x?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (150\/45)\/((-5)\/2)*(-9)\/114?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 358411.\nAnswer: 17, 29, 727","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -1715, -4125, -6523, -8903, -11259, -13585, -15875?\n\"Answer: j**3 - 2417*j + 701","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = k**3 - 18*k**2 - 88*k + 4. Let m be h(22). Solve 0 = -6*u + 10 - m for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = 11*f**5 - f**4 - f**3 + 2*f**2 - 3*f - 1. Let c(a) = -10*a**5 + a**4 + 2*a**3 - 2*a**2 + 2*a + 1. Let k(s) = -7*c(s) - 6*p(s). Solve k(w) = 0 for w.\nAnswer: -1, 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 797 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = s**2 - 4*s - 5. Let y be c(5). Suppose -5*r + 16 - 1 = y. Suppose -7*g + 2*g = 3*b - 21, 4*b - 28 = 5*g. Solve -b = -r*q + 8 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 30085\/1430 - (-16)\/(-416).\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -2*(1 + 6\/(-4)). Let a = s + 0. Suppose -4*n = -3*n - a. What is the greatest common factor of n and 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3387683 = -5*s + 4*a, 17*a - 677552 = -s + 20*a. Is s a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 37 + -19. Does 3 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in twenty-one fifths of a milligram?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 237 - 476 + 239 + 3*k.\nAnswer: 3*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from muumcmmucucuumcu. Give prob of picking 3 u.\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 45 - 42. Solve 0 = h + v for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = 4*q, -3*q - 52 + 7 = -2*h. Suppose a = 4*p - 21, 0*a - 3*a = -5*p + h. Solve p*k - 2*k = -8 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.156 - -0.3\nAnswer: 0.456","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*h**4 + 6*h**3 - 4*h**2 - 24*h - 16.\nAnswer: 2*(h - 2)*(h + 1)*(h + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 824 is divided by 12.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) be the first derivative of -8*z**2 - 2. Let x(a) be the third derivative of a**4\/24 + 399*a**2. Calculate c(x(m)).\nAnswer: -16*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = 238*c - 24. Let p(v) = 10*v - 1. Let h(y) = 24*p(y) - s(y). Let d(i) = 2*i**2 + 539*i + 1. Determine d(h(z)).\nAnswer: 8*z**2 + 1078*z + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (48\/28 + -2)\/(((-12)\/35)\/(-12))\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/y**(-2\/39))\/(y\/y**(5\/2))*(y*(y*y\/y**(1\/9))\/y)\/y**19 assuming y is positive.\nAnswer: y**(-3407\/234)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-a**2 - a**2 + 0*a**2)*((1 + 2*a - 1)*(-a - 1 + 1) + 4070*a**2 + 1826*a**2 - 1511*a**2).\nAnswer: -8766*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 134063?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 19188 + -19182. Let a(d) = 9*d**2 - 5*d + 4. Let s(c) = -19*c**2 + 11*c - 9. Let r = -25 - -38. Calculate i*s(g) + r*a(g).\nAnswer: 3*g**2 + g - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -7*c + 176. Let l be a(22). Solve j = -l*z + 23*z + 1, 5 = -5*j for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = 1 + 7 + 0*m + m - 4. Let q be i(-2). Which is the closest to -1? (a) 0.2 (b) -5 (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p = 3*i - 5*i + 44, -5*i + 2*p = -142. What is the smallest common multiple of i and 2?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2.2 + -2. Let i be (14\/28)\/(-2*(-2)\/(-8)). Which is the nearest to -13? (a) 5 (b) f (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 86 is divided by 820\/28 - 4\/14?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -101\/582 and 39\/1067?\nAnswer: 6402","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = i**2 - 17*i + 3. Let w = -789 - -805. What is j(w)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15 = 4*h + 8*f - 5*f, 2*h + 5*f = -11 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 2368\/12473 at least 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -69 + 102. Let y = 12 - b. Let r = y + 66. Is 14 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 8, -2\/23, 1\/12, 63\/26, 0.1?\nAnswer: 63\/26","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*f - 65*f + 6638 = 2750. Calculate the greatest common factor of f and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 6.968 to one dp.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-18*l + 4*l - 1 - 4*l)*(-3 - 1 + 0).\nAnswer: 72*l + 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1 (b) -0.3 (c) 2 (d) -1.5 (e) -1\/4 (f) -18394\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*f - 25*f - a = -13, -85 = 2*f - 19*a - 32 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -16 (b) -0.2 (c) -40 (d) 131\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ikyyiiklik. What is prob of picking 2 i and 2 y?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -586 - -586. Let u be ((-3)\/2)\/((-2)\/4). Let a = 5 - u. Solve a*v - 2 - 6 = s for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -26, -86, -186, -326, -506, -726?\n\"Answer: -20*i**2 - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n - 78 = 57. Let f = n + -1. List the prime factors of f.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 478 divided by 21611.\nAnswer: 478\/21611","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -2*i**2 - 2*i - 1. Let k = -6 + 6. Suppose 6*r - 5*t = 2*r - 5, 2*r + 2*t + 16 = k. Let v(y) = 4*y**2 + 5*y + 2. Give r*x(j) - 2*v(j).\nAnswer: 2*j**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -8*b - 1 + 7 - 6*b - 7*b. Calculate the remainder when f(-2) is divided by 26.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o = -8, 6*o = -2*c + 7*o. Which is greater: c or 2\/1091?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 300776.7 kilograms in grams?\nAnswer: 300776700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 6*6\/(-63)*-7. Suppose 0 - h = 2*y. Let t(s) = -17*s - 3. Is t(y) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.034 + 0.434. What is the third biggest value in -2, v, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -99.7210964 less than 696.4?\nAnswer: 796.1210964","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*g - 56 = 24. What is the second derivative of -g*x - 15*x**2 - x**2 - 8*x**2 - 3*x**3 + 0 + 5 + x**3 wrt x?\nAnswer: -12*x - 48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -2\/7 and -762 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1517*a + 709*a + 30100 = -784*a for a.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 770 + 13. Let t = c - 779. Calculate the remainder when 41 is divided by t.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 divided by -9051563\nAnswer: 2\/9051563","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-14*p + 8*p - 3*p)*(108*p + 26*p + 4*p)*(1 - 1 - 3).\nAnswer: 3726*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.64, -5, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 94 - 1708 = -3*m. What is the remainder when m is divided by 77?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) be the third derivative of 5*n**4\/3 + 2*n**2. Suppose 0 = -5*z - 5, -6*s - 5*z - 7 = -7*s. Let a(v) = -265*v**s + 529*v**2 - 267*v**2. What is j(a(p))?\nAnswer: -120*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*q - 1 + 1)*(0 + 3 - 4) - q + 2*q - 2*q + 102*q - 131 + 133 + 18*q to the form i + w*q and give i.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 52\/11 - 490\/99. Which is the second smallest value? (a) j (b) -0.2 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 130 minutes before 12:19 AM?\nAnswer: 10:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 45706 is divided by 4146.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 26381488?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/7 in 2, -3\/139, 1?\nAnswer: -3\/139","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 219 is divided by 35.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3 - 3 = 10*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 - 4 = -5*s + 2*z, -4*s + 6 = 2*z. Solve -25 = -4*w - 3*f, 3*w - s*f - 3 = f for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*j**3\/7 - 1338640*j**2\/7 + 2677286*j\/7 - 1338644\/7.\nAnswer: -2*(j - 1)**2*(j + 669322)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: ((-363)\/(-1573))\/((6\/(-65))\/(-6))\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -869 + 981. Calculate the remainder when c is divided by 39.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 90\/(-240) - (-76)\/32. Let w(x) = -x + 1. Let t(a) = a**3 + 3*a. Determine d*t(s) + 6*w(s).\nAnswer: 2*s**3 + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 458.099 milligrams in grams?\nAnswer: 0.458099","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (7 + 0 - 3) + 1. Let s = -24.2 - -121.2. Let w = s + -95. Which is the closest to -0.1? (a) w (b) v (c) -2\/69\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -715305822 by -526.\nAnswer: 1359897","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (1\/6*-2)\/(4\/12). Let z be (7 - 4)*r - 4. Which is smaller: -10 or z?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 47941884?\nAnswer: 2, 3, 1331719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 19 - 18. What is the second biggest value in -1, 0.4, b?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -144, -544, -1218, -2172, -3412?\nAnswer: -4944","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 27335*c**5 + 96*c**3 - 15831252*c wrt c?\nAnswer: 546700*c**3 + 576*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/(z*z**(1\/4)*z)*z**4)**(-2\/17) assuming z is positive.\nAnswer: z**(-11\/34)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*z + 5827 + 8681 = 0. Find the common denominator of z\/(-155) + -1*1 and -31\/7.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = c + 10. Let n be b(0). Let r = n - 7. Suppose -r*s = -5*f + 9, 3*s = -2*f + 4*s + 4. What is the units digit of f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -413, -431, -463, -509?\n\"Answer: -7*k**2 + 3*k - 409","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8210 = 4*x - 3*a, -3*a + a + 6149 = 3*x. Let r be (-400)\/(1 - x\/2050). Suppose -y = 4*y - r. What is y rounded to the nearest ten thousand?\nAnswer: 160000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -7*a**2 + 4*a**2 - a**2 + 17*a**6 - 2*a**2 wrt a?\nAnswer: 2040*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*g + 8 + 10. Let y = -8 + g. Sort 4\/3, y, 0.3 in ascending order.\nAnswer: 0.3, y, 4\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 - (-1 + (-3 - -5) - 4)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -3 + 5. Let m(r) = 7*r + 2. Let y be 3\/2*(-4)\/(-3). Let j be m(y). Solve c*h - j = 4*o, -2*h + 6*h = 2*o + 14 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3 - (0 - (7 + 2))) + -3?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 1 - 9)*(382*x + 134*x + 90*x).\nAnswer: -6060*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 4, -1140, 5, -5, 95 in descending order.\nAnswer: 95, 5, 4, -3, -5, -1140","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*f = -0*z - 3*z + 9, -f = z - 1 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*sqrt(1617) - -4*sqrt(2112))\/((sqrt(432) - (sqrt(432) - -5*sqrt(432)*1)) + sqrt(432) - (sqrt(432) + -4*(sqrt(432) - -1*sqrt(432)))))**2.\nAnswer: 1331\/1296","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uu when two letters picked without replacement from {x: 3, a: 8, n: 2, u: 2, y: 5}?\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -63*l - 13 - 37 = -554 for l.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 1668 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3169 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 32*n = 12*n - 20 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) be the first derivative of -5*f**2 + 5*f - 494. Let n(z) = 8*z + 1. Let m(t) = -9*t - 2. Let x(p) = -3*m(p) - 4*n(p). Give 2*q(y) - 5*x(y).\nAnswer: 5*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) be the third derivative of v**6\/60 - v**3\/2 + 47*v**2. Let c(w) = -3*w**3 + 5. Calculate 3*c(a) + 5*z(a).\nAnswer: a**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 586.8693 + -0.08?\nAnswer: 586.7893","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = a**2 + 5*a + 3. Let g be z(-4). What is the remainder when 16 + g\/2*-4 is divided by 10?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = y**2 - y - 5. Suppose -2*f = -3*f - 68. Let i be (-3)\/12 - f\/16. Calculate the remainder when 19 is divided by l(i).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n\/(n\/n**(-2\/5)*n))\/(n*n**(-24)))**(-31) assuming n is positive.\nAnswer: n**(-3348\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = 5*b - 6. Suppose -b*h + 4 = -h. Suppose -3*a - 3*s + 42 = 0, -36 = -h*a - 8*s + 4*s. List the prime factors of a.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 21165252*k**2 + 59316433?\nAnswer: 42330504*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 14 + -17.5. Let f = -3 - n. What is the smallest value in f, -0.2, -1\/7?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 697592 to the power of 1\/2, to the nearest integer?\nAnswer: 835","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 498 and 42.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = 113*x**4 - 158*x**3 + 39*x**2 + 4*x - 3. Let q(j) = 114*j**4 - 159*j**3 + 39*j**2 + 3*j - 3. Let f(r) = 6*a(r) - 5*q(r). Find v, given that f(v) = 0.\nAnswer: -1\/4, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = m**2 + 11*m + 12. Let j(n) = -n**3 + 26*n**2 - 48*n - 10. Let b be j(24). Let h be a(b). Solve 5 = -p, -h*y - 13 = -0*y + p for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -4848 + 5140. What is the remainder when 21314 is divided by w?\nAnswer: 290","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = u**3 - 12*u**2 - 14*u + 7. Suppose 0 = 13*h - 9 - 160. Give w(h).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in thirty-seven fifths of a microgram?\nAnswer: 7400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 410 = 628183*x - 628173*x for x.\nAnswer: 41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 <= -5\/2633444?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h = 5*t + 5, 5*t + 0 - 10 = h. Suppose j = t*j - 80. Suppose 3*p + p = j. Solve o + 2 = -b, -5*o = -2*o - 5*b - p for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 106438 divided by 2\nAnswer: 53219","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 30 - 29. Let n be 3\/m - (-222)\/(-66). Is 3\/4 less than or equal to n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1*6\/(-21)*(-3)\/(-6)?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 61412098?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -69 + 51. Let d be 6\/27 + (-32)\/a. Solve d*g - 9 = 5*g for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 6, n: 12}. What is prob of picking 3 n?\nAnswer: 55\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (4\/(-3))\/(20\/510). Let v = -69 - f. Let o = 101 - v. What is the tens digit of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -8, 1\/6, 7494?\nAnswer: 7494","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -130 - (34 - 74) - -51?\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(1 + (sqrt(15)\/(sqrt(3) - sqrt(33)\/(sqrt(11) + sqrt(44))))**2*5)*5.\nAnswer: -1145\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 54155 + 55?\nAnswer: 54243","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 55, 68, 37, -38, -157, -320, -527?\n\"Answer: -22*u**2 + 79*u - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1 + -1.2. Which is the second smallest value? (a) g (b) -3 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 673 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o\/o**(3\/7)*o*o**(2\/15))\/(o\/(o**(-2)\/o*o)*o\/(o*(((o**1\/o)\/o)\/o)\/o)*o))\/(o*o**9*o*o**(-4\/5)*o)**34 assuming o is positive.\nAnswer: o**(-8108\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 64179 to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express (-a**2 + a**2 + 3*a**2)*(0*a + 4*a - a) in the form w*a**2 + f*a + l + d*a**3 and give d.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1360495 and 285?\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (9*(20 + 7826\/(-390)))\/(11\/(-10))?\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = m. Let x(u) = 10*u + 2. Calculate -6*b(i) + x(i).\nAnswer: 4*i + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 106772100 to the nearest one million.\nAnswer: 107000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) be the third derivative of 2*g**7\/105 + 2*g**3 - 8*g**2. What is the first derivative of t(j) wrt j?\nAnswer: 16*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 60890124313 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 19*n**5 - 2*n**3 + 265*n**2?\nAnswer: 1140*n**2 - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:54 PM and 3:40 AM?\nAnswer: 526","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -55177 = -529*p - 53061. Find g such that 2*g**3 - 11\/2*g - 4 - 1\/4*g**p + 3\/4*g**2 = 0.\nAnswer: -1, 2, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3964 smaller than 3857?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 37888?\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p - 3*v = -32537, 5*v + 16454 = 4*p - 16123. Does 103 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1044 is divided by 123.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -111\/6118 and -67\/76475.\nAnswer: 152950","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 86*f = 594 - 521 + 873 for f.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 3 and 15782020.\nAnswer: 47346060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 38, 46, 6, -4?\nAnswer: 38","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) be the second derivative of h**4\/6 + h**2\/2 + 7*h. Calculate x(2).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.2 and -29.06.\nAnswer: -29.26","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1605 and 170?\nAnswer: 54570","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -8 + 13. Let s(d) = d**3 - 5*d**2 - 21*d + 96. Let k be s(6). Factor o**2 + w - k + 4*o + 1.\nAnswer: o*(o + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = 2*g**2 + 6*g - 3. Suppose -28*r + 27*r - 4 = 0. Let n(x) = 2*x**2 + 5*x - 2. Give r*n(q) + 3*m(q).\nAnswer: -2*q**2 - 2*q - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6*q - 2 - 3*q + 3*q to w + b*q and give b.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 35 is divided by 13?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-2\/21)*u**(3\/4))**(2\/87)\/((u*u\/u**1)**20\/(u**(1\/2))**(-1\/11)) assuming u is positive.\nAnswer: u**(-402551\/20097)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.005 - -2.295. Let j = -23071869.30000056 - -23071867. Let o = j + y. Round o to six dps.\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 233 + -232. What is the lowest common multiple of 21 and z?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 8? (a) 2\/17 (b) -5 (c) -4 (d) 0.08 (e) -274\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 33444880873 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 92 divide 368?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -4 + 4. Suppose l = -2*h - 3*n - 15023225, 4*h + h + 37558075 = -5*n. Let j = h - -3011620. What is j rounded to the nearest 1000000?\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -94\/819 and 10\/169533.\nAnswer: 169533","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -2*f**3 + 1190*f**2 - 1772*f + 346843. Give h(594).\nAnswer: -53","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -6, -5, -4, -3, -2?\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24 = -0*c - 2*c + 5*l, 12 = 2*c - 2*l. Let q(d) = -5 + d**c - 4 - 7. What is the tens digit of q(7)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.4 * -0.65.\nAnswer: 0.26","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) be the first derivative of 14*s**2 - 2. Let u be g(1). What is the greatest common factor of u and 308?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 18\/180*-4*(-15)\/(-18).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16729522 a multiple of 239?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -138, -256, -374, -492, -610, -728?\n\"Answer: -118*a - 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*q**3\/21 - 75346*q**2\/21 + 338984*q\/21 - 150656\/21 = 0.\nAnswer: 1\/2, 4, 18832","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out -140 * 0.37.\nAnswer: -51.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -w**3 - 10*w**2 + 11*w + 6. Suppose 12*t - 14*t = 22. Give v(t).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3 + 7. Let y = -4 - -20. Calculate the greatest common divisor of g and y.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -2*c**2 + 5*c - 1. Let x(m) = 5*m**2 + 158*m + 2. Let t(p) = 2*x(p) + 4*y(p). Let b(j) = -3*j. Determine t(b(v)).\nAnswer: 18*v**2 - 1008*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (-3)\/(-2)*160\/(-60)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = p**3 + 6*p**2 - 6*p + 3. Let q be d(-7). Let h = q + 10. Does 3 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 85 divided by -17?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2130 and 60.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 129993 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mmkmiimimmik. What is prob of sequence ii?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:25 AM and 5:28 PM?\nAnswer: 663","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 583.7 - 618. Let q = w + 34.26. Let m = -0.13 - 4.87. What is the closest to -0.2 in q, -0.5, m?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-6)\/(-25)*-5)\/((-396)\/(-120)*2)\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -w**3 - 18*w**2 + 767*w - 2135. Calculate t(18).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor t**3 + 42*t**2 + 81*t + 40.\nAnswer: (t + 1)**2*(t + 40)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) -1 (b) 0.05 (c) 4 (d) 0.4564\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 18240 and 6042?\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -10707 or -10706?\nAnswer: -10707","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -18745928 divided by -9?\nAnswer: 18745928\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gebgdpb. Give prob of sequence dp.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 357000 to the nearest 100000.\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 4429 - 57511\/13. Let b be ((-76)\/(-494))\/((-4)\/26)*(-42)\/39. Determine v so that 16\/13 - b*v**4 + 24\/13*v + r*v**3 - 92\/13*v**2 = 0.\nAnswer: -2\/7, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(192) + -1 + sqrt(192) - sqrt(192)) + 3 + 0.\nAnswer: 2 + 8*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 547022 a multiple of 47?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p and 1 w when two letters picked without replacement from {k: 1, h: 2, y: 1, d: 2, w: 2, p: 1}.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 6\/(-5) + 2 + (6 - 7). Which is the second biggest value? (a) -2\/9 (b) z (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 3) to base 4.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m + 155 = -m + s, -4*s - 43 = m. Let r = m - -57. Calculate the lowest common multiple of 36 and r.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 4a1 - 7?\nAnswer: 498","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -36755 divided by 3?\nAnswer: -36755\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = 6 + 5*d**2 - 37*d + 1 - 3. Does 27 divide y(12)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 8169 + -5639. List the prime factors of x.\nAnswer: 2, 5, 11, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 717, 1432, 2147, 2862?\nAnswer: 3577","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*b - 3*x + 10 + 6, 0 = -4*b + 3*x + 29 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m - 9 = 2*m. Let c be (0 - -2) + m + 1. Let h be (-2 - (-16)\/6)*c. Solve h*f + 13 = -d, -5*d = 3*f - f + 29 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 92\/(-6)*(-3672)\/(-1564)?\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1024355533 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 211, 3, 11 in decreasing order.\nAnswer: 211, 11, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) -1 (b) 4\/5 (c) -5 (d) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -y**2 - 2*y**2 - 5*y**2. Let j(l) = -33 - 2*l + 33. What is j(g(c))?\nAnswer: 16*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30*f - 7845 = 3045. Is 33 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -y**3 - 14*y**2 - 75*y + 19. Let a be g(-9). Let w = a + -289. Which is smaller: w or -2\/1947?\nAnswer: -2\/1947","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = 19*l + 1. Let k = -3 + 4. What are the prime factors of s(k)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -99932*0.29\nAnswer: -28980.28","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 523, 516, 507, 496?\nAnswer: 483","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 1062, 1518, 1948, 2346, 2706?\n\"Answer: -l**3 - 7*l**2 + 484*l + 586","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8*(777\/756)\/37.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = g**2 + 33*g - 104. What is c(-36)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve n + 23 = 4*i, 4*i - 14 + 0 = -2*n for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = 4*f**3 - 3*f**2 + 4*f + 4. Let w(o) = -4*o**3 + 2*o**2 - 3*o - 3. Let l(m) = -4*w(m) - 3*y(m). What is the third derivative of l(g) wrt g?\nAnswer: 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23989271 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 720 divided by 45\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 201854 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is l in l**5\/5 - 187*l**4\/5 + 8683*l**3\/5 + 563*l**2\/5 - 26432*l\/5 + 17372\/5 = 0?\nAnswer: -2, 1, 86, 101","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 76876.54 kilograms to nanograms.\nAnswer: 76876540000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3846340117 + 28.\nAnswer: -3846340089","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1056 by -44.\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find u such that 2543*u**2\/5 - 35461*u\/5 - 1974\/5 = 0.\nAnswer: -141\/2543, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*r + 6*r - 5*b = 1, 13 = -4*r + 5*b. Let i(q) = -3*q. Let u be i(r). Solve -3*x = -u*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*g**2 + 123*g**3 - 106*g**3 - 21*g**3.\nAnswer: -4*g**3 + 2*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*3*sqrt(242)*5.\nAnswer: 660*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*q + 40 = -3*q. Suppose 0 = 3*t + 3, t - 6 = -3*r + q. Suppose r*v - 225 - 251 = 0. List the prime factors of v.\nAnswer: 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/(83*53\/(-13197)*(4\/(-2))\/(-2)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*l**3 - 12 + 12 + 0*l**2 + 10*l**2.\nAnswer: -2*l**3 + 10*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 880 or 878?\nAnswer: 880","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 179615471, 359230937, 538846403, 718461869, 898077335, 1077692801?\n\"Answer: 179615466*c + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 201 (base 6) to base 12.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*g + 0*g + 3*g)*(-825*g - 46*g**3 + 825*g).\nAnswer: -138*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 161244 divided by 108?\nAnswer: 1493","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) be the first derivative of -3*y**2\/2 + y + 1. Let u be d(-1). Determine m so that 0*m**2 + 0 + 0*m**u - 4\/9*m**3 + 2\/9*m + 2\/9*m**5 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 400, 823, 1246, 1669, 2092?\n\"Answer: 423*i - 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 36 - 394\/11. Let x(z) = 54*z - 58. Let n be x(1). What is the closest to q in 2\/7, n, -5?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 + (-2 - (3 - 2)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*s - 6 = 2*h, -3*s = -1101*h + 1098*h + 3 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 246.86 + -1.86. Let g = u - 245.0039. What is g rounded to three decimal places?\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 1, l: 1, a: 1, p: 1, t: 1}. What is prob of picking 1 l and 1 p?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1980\/(-60) + (-4433)\/(-155).\nAnswer: -22\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 803*w - 1583 + 1583 to the form k*w + t and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 636 minutes after 8:30 PM?\nAnswer: 7:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 1, g: 14}. Give prob of sequence gu.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -s - 4. Suppose -s = 90*o - 89*o. Let i(h) = 3*h**2 - 2. Let u(m) = 3*m**2 + m - 3. What is o*u(l) + 3*i(l)?\nAnswer: 3*l**2 - 2*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*c - c - 20. Let j = 7 - c. Let y be (j*(-2)\/6)\/1. Calculate the highest common factor of y and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 87\/58*(-28)\/6?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) be the third derivative of 7709*i**4\/24 + 5071*i**3\/6 + 6119*i**2. What is the first derivative of v(t) wrt t?\nAnswer: 7709","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 37235447 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -69.3573 - 1.6427. Does -23 = r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 112, 210, 294, 358, 396?\n\"Answer: -h**3 - h**2 + 108*h + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = 1. Let q(z) = -6. Let k(s) = q(s) + 5*x(s). Let f(y) = -y - 3. Suppose 11 = -5*n - 9. Let g(a) = n*k(a) + f(a). Differentiate g(p) wrt p.\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 24 - (18 - (0 + -6 - -11)).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21 = i - 242. Suppose i*p = 260*p + 18. Calculate the greatest common factor of 30 and p.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = 2395*u**2. Let z(q) = -26*q + 10. Let m(r) = -16*r + 6. Let b(d) = -5*m(d) + 3*z(d). Give t(b(l)).\nAnswer: 9580*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 106*w - 103*w - 30045 = 0. What is the hundreds digit of w?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = l**2 + l + 1. Let y(a) = 4*a**2 - 31*a + 4. Determine -2*k(g) + y(g).\nAnswer: 2*g**2 - 33*g + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 42136 (base 7) to base 11\nAnswer: 7874","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*i + 23 = -94 for i.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1421132 + -111?\nAnswer: -1421243","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 73\/12 - 27\/4. Which is the closest to f? (a) -1 (b) -3\/5 (c) -2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.4 (b) -14 (c) -7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.3 and -5853243867126.9?\nAnswer: 5853243867126.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -5484 + 5599. Let o = -4 - -4. Suppose 2*v - 58 = -o*v. What is the remainder when h is divided by v?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z\/z**(-15))\/z)\/(z\/(z**(2\/25)*z))*z**(-3\/11)*z\/(z*z**(-25)) assuming z is positive.\nAnswer: z**(10947\/275)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -d - 1. Let n = -570 - -569. Let g(y) = 2*y**2 + y + 1. Determine n*l(x) - g(x).\nAnswer: -2*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -1389*p - 511?\nAnswer: -1389","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v + 2*j + j + 5017394 = 0, -2*j + 4 = 0. What is v rounded to the nearest 100000?\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -1*7\/(7\/82). Let p = r + 94. What is the greatest common factor of p and 48?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.64765, 0.09, 1\/4 in descending order.\nAnswer: 0.64765, 1\/4, 0.09","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*c**5 + 29793*c**4 - 73505289*c**3 - 2300668341*c**2 - 16680213408*c + 19054357248 = 0. Calculate c.\nAnswer: -16, 1, 4981","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -200*z + 223. Let j be i(1). Solve -j*n + 19*n - 16 = -2*a, -n = 4 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = o**3 + 6*o**2 + 5*o. Let r be j(-5). Let y(z) = 0*z + z + r*z - 1. Let m(q) = q**2 - 3*q + 3. Suppose 2*u + 1945 = 1949. What is u*m(x) + 6*y(x)?\nAnswer: 2*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 32 a factor of 754641060?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 20201122 (base 3) to base 4.\nAnswer: 1030220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uu when two letters picked without replacement from uuuuuuuuuujujuuuuuu?\nAnswer: 136\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 231291?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kzzzzkkzkzkkkkzkzzk. Give prob of picking 2 z and 2 k.\nAnswer: 135\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) be the second derivative of 3*f**5\/2 - f**4\/12 + f**2\/2 + 220*f. Calculate h(1).\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 1, 5, -1, 6, -1174 in ascending order.\nAnswer: -1174, -4, -1, 1, 5, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.3683 - 0.0107. Let h = 0.4776 + y. Round h to two decimal places.\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -314 + -1669779.\nAnswer: -1670093","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = d**2 - 9*d - 10. Suppose 0 = 3*l - l - 22. What is the units digit of c(l)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13 + 8 + 8257*i + 5.\nAnswer: 8257*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 37593067 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor 729*c**5\/4 + 486*c**4 - 783*c**3\/4 - 2219*c**2\/2 - 49*c + 686.\nAnswer: (c - 1)**2*(9*c + 14)**3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(96)*2*-2)\/(sqrt(9)\/sqrt(3)*6*-4).\nAnswer: 2*sqrt(2)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1731073 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -q**3 - 6*q**2 - 4*q + 7. Let v be s(-5). Suppose 5*r - 53 = -4*t, t - 3*r - 28 + v = 0. What is the tens digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-12)\/(-8)*8 + 3.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -3*v**3 - 6*v**2 + 3*v. Let t(x) = -3*x**3 - 7*x**2 + 3*x. What is -7*b(s) + 6*t(s)?\nAnswer: 3*s**3 - 3*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000231482 to seven decimal places.\nAnswer: 0.0000023","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 34, 30, 26, 22?\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*x**2 - 118*x - 11704.\nAnswer: (x + 38)*(5*x - 308)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + 1 + 3 - 4 - 9?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1\/(2\/6) - -88. Let b be 130\/4 + 1\/(-2). Suppose -2*x + 5*s + h = 0, x = -s - s + b. Is 11 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.05, -0.17, 4, 0.4 in decreasing order.\nAnswer: 4, 0.4, -0.05, -0.17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = 2*r. Let q(d) be the third derivative of d**6\/45 + d**4\/2 - 3*d**2. Let j(b) be the second derivative of q(b). Determine g(j(v)).\nAnswer: 32*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 12287188?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -83123 + 89?\nAnswer: -83034","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (-4*sqrt(11)*-2 - (sqrt(11) - (sqrt(11) - -5*sqrt(77)\/sqrt(7)))).\nAnswer: 13*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -7*t + 3. Let j = -6 + 9. Let l be k(j). What is the common denominator of 38 and 1156\/66 - l\/(-99)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -108? (a) 5 (b) 1323 (c) -2\/23 (d) 0.3 (e) -4\/3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 62381, 249401, 561075, 997415, 1558433?\nAnswer: 2244141","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 713583 is divided by 15512?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 j and 1 n when three letters picked without replacement from {w: 1, r: 7, f: 2, t: 1, n: 1, j: 8}?\nAnswer: 7\/285","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 36 divided by -4\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = 8*t**2. Let i(n) = -5*n**2 - 8*n. Let s(d) = -2*d**2 - 3*d. Let a(q) = 3*i(q) - 8*s(q). Calculate a(b(o)).\nAnswer: 64*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 193591991 to the power of 1\/2, to the nearest integer?\nAnswer: 13914","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 2992664011 to the power of 1\/2, to the nearest integer?\nAnswer: 54705","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -19 + 17. Put 2, d, -3 in descending order.\nAnswer: 2, d, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0 + 0. Suppose 2*b = -p*b + 6. Suppose -3*w - 23 = -6*w - 2*j, 4*j - 25 = -b*w. List the prime factors of w.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1214237333 to the nearest integer?\nAnswer: 1067","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c + 30 = 3*h - h, 5*h - 6 = c. Calculate the common denominator of (2\/(-336))\/(c - 14868\/(-2480)) and 97\/84.\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -42049, -84109, -126169, -168229, -210289, -252349?\nAnswer: -294409","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine z so that -41\/2*z - 1681\/4 - 1\/4*z**2 = 0.\nAnswer: -41","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 254*x - 20*x = -227 - 709 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.07 (b) 363 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y + a - 38 = 0, -4*y - 4*a - 25 - 3 = 0. Let w = y + 48. Let k = -7 - -27. What is the remainder when w is divided by k?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 21\/13 or -9?\nAnswer: 21\/13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 5 (b) 2\/45 (c) -0.042 (d) -2\/15 (e) -1\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-120)\/(-90)*3\/5. Which is the closest to 0.08? (a) -0.3 (b) 3 (c) f (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -14 or 1\/17?\nAnswer: -14","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand -711*t**3 - 4617 - 5*t**5 + 23*t**3 + 4617 + (4 - 2*t**3 - 4)*(2*t**2 - 2*t**2 + 2*t**2) + 4*t**5 - 2*t**5 + 0*t**5.\nAnswer: -7*t**5 - 688*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.06623 rounded to two dps?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 9.5 - -54.8. Let c = m + -64.3517. Round c to 2 decimal places.\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 23 times 3874.79?\nAnswer: 89120.17","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: Let n = -70 - -54. Let q be (-1)\/(n\/24*2\/4). Find the third derivative of 15*m**2 - 11*m**q + 11*m**2 + 6*m**3 - 21*m**3 wrt m.\nAnswer: -156","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = 42*j**3 - 1267*j**2 + 201*j + 154. Determine y(30).\nAnswer: -116","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = h**3 + 28*h**2 + 74*h - 6. Let c = 6 - 31. What is the remainder when 397 is divided by g(c)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(117)*4*-5 + sqrt(117))*-6 - (-5 + 1 + (sqrt(117) - (3 + sqrt(117) - sqrt(117))))) + -1)**2.\nAnswer: 4068*sqrt(13) + 1494009","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -3*c**2 + c + 21. Let n be b(-2). Let x(k) = 7*k - 4. Determine x(n).\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -37726*y + 37733*y - 84 = 0 for y.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -43*v**2 + 77*v**2 + 4*v**2 + 89*v**2 + 66*v**2.\nAnswer: 193*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*q + 165 + 149 - 58.\nAnswer: -2*q + 256","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0 + 23*j**2 + 0 + 0 to the form a*j + i*j**2 + x and give a.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 49294 and 14587.\nAnswer: 503","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) be the second derivative of a**8\/6720 - 13*a**7\/2520 - a**6\/720 + a**5\/24 - 10*a**4 - 2*a + 44. Let i(x) be the third derivative of z(x). Give i(13).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = 4*w + 1. Is 4 a factor of j(25)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 118621\/22 + -5390. Find the common denominator of -21\/200 and h.\nAnswer: 2200","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (0\/(-1))\/4 - 1. Let t = f + 5. What is the third derivative of -3*w**3 + t*w**2 + 4*w**2 - 7*w**2 + 9*w**2 wrt w?\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -1031, -1403, -1759, -2099, -2423, -2731?\n\"Answer: 8*b**2 - 396*b - 643","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y = 3*m + 41146, 139*y - 82312 = 135*y - 4*m. What are the prime factors of y?\nAnswer: 2, 643","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 196865603?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -2151*v + 3. Let s be y(5). Is (-1)\/(-5) + s\/(-15) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1574946 and 2124.\nAnswer: 1062","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) be the first derivative of b**4\/4 - 4*b**3 + 13*b**2\/2 - 15*b + 2. What is the units digit of d(11)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i + 2*l + 3*l - 293 = 609, 0 = 3*l. What is the remainder when i is divided by 887?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = 4*z**3 + z**2 + z + 1. Let p be a(-2). Let r(m) = m**3 + 32*m**2 + 67*m - 38. List the prime factors of r(p).\nAnswer: 2, 271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from aabattaswwwttbbwtaw. What is prob of picking 1 a and 1 b?\nAnswer: 5\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -169692*k - 29865795. Calculate p(-176).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = 22*m - 174. Let f be a(8). Sort -3, -4, f, -2 in increasing order.\nAnswer: -4, -3, -2, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 27009446?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n\/(n*n*n\/n**(-1))*n*n**(-3\/10)*n)**30)**(-30) assuming n is positive.\nAnswer: n**1170","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 34 divide 75616?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*l - 3*w - 1 - 14, 0 = 4*l + 5*w + 3. Suppose -l*s + 4 = 10. Let t be (63\/12 - 2) + s. Which is the biggest value? (a) -1 (b) t (c) -1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1847 is divided by 578.\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-k**3 + k - k)*(164 + 45 + 27).\nAnswer: -236*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 34403 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -2222082, -2222080, -2222078, -2222076, -2222074?\n\"Answer: 2*l - 2222084","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (5\/(-5))\/(3\/12*-2). Let f(j) = 0*j**2 - m*j**2 - 2*j**2 + 3*j**2. Let z(o) = -3*o**2. Give z(f(q)).\nAnswer: -3*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-2)\/4)\/(150372\/(-37592) - -4) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) be the second derivative of 11*x**8\/56 + 5*x**5\/4 + 157*x**4\/12 - 2*x. Find the third derivative of u(g) wrt g.\nAnswer: 1320*g**3 + 150","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i = 3*u - 15, -2*u + 4*i = 3*u + 2. Suppose -u*y + y = 5*p + 220002, 3*y = -6. Round p to the nearest 10000.\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o = -12 - 52. Let z be o\/(-8) + (-1 - -4). Suppose r = z*r - 20. Solve 35 = -p - 4*p + 5*x, r*x = 2*p + 29 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -10, -3, -2, -123 in decreasing order.\nAnswer: -2, -3, -4, -10, -123","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-4968)\/(-69) - 72)*(2 + (-10)\/4). Find j such that 13\/4*j**3 - 3\/2*j**4 + 1\/4*j**5 + o + j - 3*j**2 = 0.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 202\/5 - 4\/10. Let a be ((-4)\/j)\/(8\/(-20)). Is -54\/13 equal to a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from aapppipvaavavvp. Give prob of sequence ip.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 156.6 + -13.6. Let v = -142.8 + z. Which is smaller: -4\/15 or v?\nAnswer: -4\/15","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -17 - -1000?\nAnswer: 872","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1017502?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10 + 0 - (60 - 52)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -26 divided by 327\nAnswer: -26\/327","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.03, 5, -38310, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-650)\/195*(-6)\/4.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 91673.\nAnswer: 91673","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k and 1 h when two letters picked without replacement from {l: 3, r: 1, h: 2, o: 4, k: 2, b: 2}?\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 967917957 + -967915751.0000971. Let q = m + -2206. Round q to 5 dps.\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -170*w + 108*w - 248 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -192*i**3 + 171*i**2 + 168*i - 2. Determine s(-1).\nAnswer: 193","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 185752928?\nAnswer: 2, 139, 41761","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is -18937 equal to -18935?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -2563356 divided by -5\nAnswer: 2563356\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 l and 1 c when three letters picked without replacement from lclllcdlccclllccvvcc.\nAnswer: 21\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -b**3 - 10*b**2 + 24*b + 8. Give o(-12).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 566?\nAnswer: 2, 283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -1472*d + 4416. Let x(p) = -p + 2. Determine c(o) - 2208*x(o).\nAnswer: 736*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -12 + 5 + 0 + 6 - 7 - -17.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 + (-16 - -21) + -2 + -22.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:28 PM and 1:12 AM?\nAnswer: 104","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3834*c - 555*c + 5263*c - 1583*c + (4*c - 4*c + 2*c)*(-2 + 2 + 1).\nAnswer: 6961*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5\/(40\/8))\/(60\/(-20))?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -32.48 - 1.52. Let j = -201.595 + 167.6003. Let b = u - j. What is b rounded to 3 decimal places?\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 83c526 (base 13) to base 5.\nAnswer: 1242131033","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35 = 2*u + 5. Suppose 43 - u = 7*v. Is 20\/16*v + 31 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 23560 to the power of 1\/3, to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2 - 20. What is the remainder when 272 is divided by (4 - -1 - c\/(-27))*9?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -28674, -57345, -86016, -114687, -143358?\n\"Answer: -28671*l - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*t + 430 = 5*t. Let p be t\/(-11) - -4 - -4. What is the fourth biggest value in p, 2\/3, -0.2, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 2, o: 2, d: 1, c: 7}. What is prob of sequence cd?\nAnswer: 7\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 0 + 6afb5ae?\nAnswer: 6afb5ae","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find k, given that 2*k**4\/3 - 124*k**3 + 18746*k**2\/3 - 44216*k - 343288\/3 = 0.\nAnswer: -2, 11, 83, 94","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.2 - 0.15. Let c = 159\/2 + -801\/10. What is the biggest value in -2, c, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -14 + 81. Calculate the remainder when 334 is divided by y.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) be the first derivative of 3259*b**5\/5 + 685*b**2\/2 - 4763. Find the second derivative of w(x) wrt x.\nAnswer: 39108*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 44\/481 and -5\/222.\nAnswer: 2886","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -d**3*z + 41*d**3 + 2*d**2*z - 16*d*z + 17*z wrt d.\nAnswer: -6*d*z + 246*d + 4*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (9\/60)\/(18\/16)?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -1 + (-54)\/(-14) + -1 and (2\/4)\/(3\/151).\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -80, -181, -282?\nAnswer: -383","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 754230 is divided by 132.\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-14*b**2 - 42*b**2 + 4*b**2)*(-3 - 20 - 30)*(0*b - 4*b + 2*b)*(4*b - 4*b - b).\nAnswer: 5512*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*g + 24*g - q = -6*q, q = -5*g + 6 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 4, -4.261, 0 in decreasing order.\nAnswer: 4, 3, 0, -4.261","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (4 - -27) + -13 + -25\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -1*(-3)\/((-3)\/2)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -2*b - 0. Suppose 0 = 2*v - 5 + b. Calculate the least common multiple of 2 and v.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n = -3*d - 3, 0 = 2*n - 2*d - 6 - 8. Suppose 0 = 5*t - 2*a, -t + n*a - 5 = 4*t. Let f**2 - 6*f**2 + 7*f**2 - t = 0. What is f?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 206066929 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -567, -852, -1143, -1440, -1743, -2052?\n\"Answer: -3*v**2 - 276*v - 288","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 0.08 times 0.1280107\nAnswer: 0.010240856","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i + i = 92. Let n = 38 - i. Is ((-18)\/n)\/((-2)\/70) a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 177 = -20*w + 371 - 2494. Which is the second biggest value? (a) -13 (b) -1\/2 (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -409, -1\/7 in descending order.\nAnswer: -1\/7, -2, -409","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -39 - 13. Let o = 52.068406223 + -0.068427223. Let n = m + o. Round n to 5 dps.\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -94*v**2\/9 + 1244*v\/9 - 286\/9.\nAnswer: -2*(v - 13)*(47*v - 11)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*p + 7*p - 35 = 0. Solve 7*i + p = 2*i + 5*j, 3 = 3*i + 5*j for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-21)\/3*-1)\/(17\/(-17))\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y\/y**1)\/y)**(-1\/10)*y**(-1\/10)\/(y**(3\/7)\/y*y*y)*(y*y\/(y*y\/(y\/(y\/y**0))*y)*y)\/(y**(2\/15)*y)*y**3\/((y**(-1\/8)*y)\/y) assuming y is positive.\nAnswer: y**(473\/840)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 1\/4 of a week?\nAnswer: 2520","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5423?\nAnswer: 11, 17, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-112)\/(-18) + 2\/(-9). Let r(v) = -v**2 + 6*v - 2. Let i be r(k). List the prime factors of 333*(i - (-40)\/15).\nAnswer: 2, 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) -5 (b) -8\/21 (c) 1\/2 (d) 2\/13 (e) 39 (f) 2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (9 - 9)\/(0 + 1). Let v be (-435)\/18 - 7\/(-42). Let c be v\/(-10) - 2\/5. Solve 0 = p + 5*x + 30, -3*p - c*x - 25 = -y*x for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 24639 is divided by 220.\nAnswer: 219","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2384 - 4767\/2. Which is the third biggest value? (a) -0.0252 (b) 0.2 (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 1, -3, 71 in ascending order.\nAnswer: -4, -3, 1, 71","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 + 1 + -18 + 22.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -6062646 + 1364101832\/225. Let t = l + -260\/9. Is t greater than or equal to 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1\/3, 6, 42282?\nAnswer: 42282","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1824624*j**3 + 1281*j**2 - 179*j - 2 wrt j.\nAnswer: -10947744","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -3 - -31130?\nAnswer: 31121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 11*6\/99*((-378)\/49)\/(-9)?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*g - 8*g = 3*o + 50, 4*g = 4*o + 3*g - 13 + 3 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 11a + 35636?\nAnswer: 35751","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) be the second derivative of 1\/10*w**6 + 0*w**4 + 0 + 0*w**3 + 5\/2*w**2 - w + 0*w**5. Find the first derivative of n(j) wrt j.\nAnswer: 12*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) be the first derivative of -11*p**5\/60 + 130*p**3\/3 - 108. Let x(h) be the third derivative of s(h). Let g(r) = -11*r. What is x(g(j))?\nAnswer: 242*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-12212)\/(-702190) - (-3097)\/460. Factor 1\/4*t**5 - 27\/4*t - 9\/4*t**4 + r - 9\/2*t**2 + 13\/2*t**3.\nAnswer: (t - 3)**3*(t - 1)*(t + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) be the third derivative of -s**6\/120 - 2*s**5\/15 - 3*s**4\/8 - 4*s**3\/3 - 2*s**2. Let b be p(-7). Suppose -3*r - 9 = -b*r. What is the units digit of r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = 2*f**2 - 5*f - 3. Let g be i(6). Let r(y) = 2*y**2 + 58*y - 34. Let o be r(-29). Let h = o + g. Solve h = -3*c - 10 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11633550 rounded to the nearest 1000000?\nAnswer: -12000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = 25*q**2. Let m(u) = -4*u**2 - 4. Let o(z) = -5*z**2 - 6. Let x(a) = 3*m(a) - 2*o(a). Calculate w(x(f)).\nAnswer: 100*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 24 + -20 - (6 - 0).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = c**3 + 3*c**2 - c + 1. Suppose 2*q = 3*q + 1. Let s = q - 4. Let u(t) = -3*t**3 - 7*t**2 + 3*t - 3. Let w(l) = s*a(l) - 2*u(l). Factor w(x).\nAnswer: (x - 1)**2*(x + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (18\/(-30))\/(41\/(1066\/(-6)))?\nAnswer: 13\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 - -1100?\nAnswer: 1095","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 41\/40113 and 79\/51750.\nAnswer: 230649750","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3*j**5 - 190*j**4 + 36*j**2 - 144*j - 301 wrt j.\nAnswer: 60*j**3 - 2280*j**2 + 72","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s and 1 d when two letters picked without replacement from {g: 2, d: 2, m: 2, l: 3, s: 1, j: 4}?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 0.018508 times 4.2\nAnswer: 0.0777336","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from cjsssssss. What is prob of picking 4 s?\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 divided by -33369?\nAnswer: -8\/33369","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 395b9b75 + -1?\nAnswer: 395b9b74","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*c + 109 = -206. Is 10 less than c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 33 divide 5115?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 109 is divided by 11.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -48.3 - -45.3. Let d = -50\/11 + 628\/143. Which is the smallest value? (a) d (b) f (c) 46\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -59 - (4 + 2)*((-2)\/(-10))\/((-597)\/995)\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 53*m*o**3 + m*o + 33915*m + 7*o**3 - 20494*o**2 + 12 wrt m.\nAnswer: 53*o**3 + o + 33915","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -c**3 + c**2 - 3*c - 3. Suppose -z + 1 = 3. Let l(i) = -3*i**3 + 2*i**2 - 7*i - 7. Let s(b) = z*l(b) + 5*d(b). Factor s(p).\nAnswer: (p - 1)*(p + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 1 t when two letters picked without replacement from tcctcctw.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -6\/17 in 16\/7, 2\/3, -16196?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 673865003 to the power of 1\/3, to the nearest integer?\nAnswer: 877","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1803473*0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 1, h: 12}. What is prob of sequence hehh?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1196*t**2 - 1196*t**2 - 18445*t**3.\nAnswer: -18445*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express -763*w + 452*w - 664*w - 708*w + 292*w in the form f*w + q and give f.\nAnswer: -1391","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 42 + (33 - 24) + -71?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2044?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in eleven halves of a centimeter?\nAnswer: 55","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 73464 to the power of 1\/3, to the nearest integer?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) 44\/7 (b) -11 (c) -0.02\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + 1 + sqrt(12)\/sqrt(6)*-4.\nAnswer: -4*sqrt(2) - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -102 in 3\/2363, 1\/3, -30, -4\/7?\nAnswer: -30","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l and 1 w when two letters picked without replacement from {l: 12, b: 3, w: 2}?\nAnswer: 3\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + 2*s - 4*b = -1, -5*b + 3 = -s. Let j be (s\/21)\/((-2)\/(-48)). Suppose 0 = j*r - 12*r. Solve r = 6*v - v + 15 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10200 is divided by 3111?\nAnswer: 867","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (4\/60)\/(-1 - -2). Let c(t) be the third derivative of -2\/3*t**3 + 8*t**2 + 0 + 0*t**4 - p*t**5 + 0*t. What is the first derivative of c(f) wrt f?\nAnswer: -8*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6580 is divided by 989?\nAnswer: 646","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 197953, 396015, 594077, 792139?\n\"Answer: 198062*n - 109","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-250)\/625)\/(14\/(-120)) - (1 + 2).\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 76454226 to the power of 1\/3, to the nearest integer?\nAnswer: 424","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -75.99999957 - -76. Round p to 6 decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 136*d**3 - d**2 - 33*d + 1 wrt d.\nAnswer: 816*d - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 1, b: 1, h: 1}. What is prob of picking 1 h and 1 s?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = 8*z**2 + 2*z + 2. What are the prime factors of u(-1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -9979210\/7 - -1425602. Factor -q*d**2 + 2\/7*d + 2\/7.\nAnswer: -2*(d - 1)*(2*d + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:23 PM and 9:27 PM?\nAnswer: 4","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2 - ((54808\/(-288))\/(-13) - 1\/(-4)). Let t = -20 + 7. Which is smaller: t or f?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -2 - (-16)\/4 - (-54)\/(-32). Let h(o) be the first derivative of -2*o - 5 + i*o**4 + 5\/2*o**2 - 1\/40*o**5 - 11\/8*o**3. Let h(l) = 0. Calculate l.\nAnswer: 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 3\/7, 4, 14, 3?\nAnswer: 14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -9 - -13. Suppose 2*k = 4*k - u. Suppose -y + n = k*y - 291, -3*y + 300 = 2*n. What is the greatest common factor of 14 and y?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y*y**11*y\/y**(1\/2)*y\/y**(-11)*y*y**(-1\/9) assuming y is positive.\nAnswer: y**(457\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -27, 6, -5.\nAnswer: -27, -5, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 19968, 39984, 60000, 80016?\nAnswer: 100032","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v = -3*x - 4*v - 815, -2*x + 3*v = 552. Let p = -4367\/16 - x. Calculate the common denominator of 37\/38 and p.\nAnswer: 304","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -5*p - 3. Let y be n(-2). Let m = -11 + y. What is the tens digit of 87\/6 + 2\/m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -2522251*k + 19. Let x be f(6). Let s = -22633487 - x. What is s rounded to the nearest one million?\nAnswer: -8000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -116430 divided by -5.\nAnswer: 23286","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1 - (-1)\/(2\/6). Let g(s) = s. Let k(m) = -m + 5. Let d = 4 + -2. Let u(l) = d*g(l) - k(l). Give u(a).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -t**2 - 43*t - 117. Determine o(-36).\nAnswer: 135","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 544372537 to the power of 1\/7, to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 11 + -20. Let r = h + 26. Suppose 0 = 18*o - r*o - 7. Is o prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/(m*m**6\/m)*(m\/(m*m**8*m*m))\/m)**(-43)\/((((m*m**(-1\/12))\/m)\/m*(m**(1\/4)\/m)\/m)\/(m\/m**(-2\/23)*m\/m**(-6\/7))) assuming m is positive.\nAnswer: m**(670189\/966)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -48*j - 4. Let z be x(-5). Suppose -2*t = 3*w - 177, 0*w + 4*w = -t + z. Is w composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 3, q: 2, z: 7}. What is prob of picking 2 z?\nAnswer: 7\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u = 4*c - 796, 2*u - 3*c - 191 - 202 = 0. Is u a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6591.9303 nanoseconds to hours.\nAnswer: 0.00000000183109175","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -4842589*m**5 - 2286138*m**2.\nAnswer: -290555340*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = t**3 + 3*t**2 - 5*t. Let d be i(-4). Suppose n = -d*n - 30. Let m = n - -12. What is the units digit of m?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3\/1135 + 96487\/4540. Find the common denominator of v and (-2)\/5 + (-3030)\/(-300).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 96536110?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from oooozovzeevv. Give prob of sequence zoze.\nAnswer: 1\/594","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-3)\/(-1 + (-3)\/6). Solve 2*p - 3*x = -3, 5*x + 1 = 2*p + j for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 - -7 - (-12 + (2 - (-2 + -1)))\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -b**2 + 1. Let m(x) = 167*x**3 + x**2 + x. Let o(k) = -m(k) - 2*r(k). Let n be o(-1). Suppose -159 - n = -2*l. Is l a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*x + 31*x - 9*x)*(5*x - 2*x - 2*x).\nAnswer: 24*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (-43 - 0) + (3059 - 3055)?\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 8331.252cm?\nAnswer: 0.08331252","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-660)\/52 - (-132)\/(-429).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y - 15 = -3*r, -r - 4*y = 2*r. Let z(u) be the second derivative of 0 - u - 5\/3*u**3 - 2\/3*u**r + 0*u**2. Find the second derivative of z(w) wrt w.\nAnswer: -16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 273566*z**2 - 136770*z**2 - 136793*z**2.\nAnswer: 3*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1668 and 1482?\nAnswer: 411996","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xfq when three letters picked without replacement from {x: 3, w: 1, a: 2, q: 10, f: 3}?\nAnswer: 5\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-44)\/(1 + (-44)\/40). Let l be (-2)\/9 + a\/90. Factor -2\/3 - 10*q**2 - l*q - 6*q**3.\nAnswer: -2*(q + 1)*(3*q + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8795720799 to the power of 1\/3, to the nearest integer?\nAnswer: 2064","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:17 PM and 2:32 AM?\nAnswer: 675","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-144)\/(-81) - 2) + 2974\/18 a multiple of 50?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 507214203.\nAnswer: 3, 169071401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1 by -147.\nAnswer: 1\/147","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 9727 and 601015?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.2 - -0.1. Let q = 5.1729 + -6.1729. Which is bigger: q or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 16538678*t**2 + 10517916*t wrt t.\nAnswer: 33077356","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2594306 + 2594306 - 3*x.\nAnswer: -3*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -147 = -9*y - 3. Suppose 0 = -4*u + 2*u + y. Let g = u - -25. Is 32 smaller than g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6 (base 11) to base 4.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 100*y - 106*y + 12. What is the second derivative of -5148 + y*h - 101*h**5 + 11*h + 5146 wrt h?\nAnswer: -2020*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -v - 1321. Let p(h) = 3*h**2. What is o(p(a))?\nAnswer: -3*a**2 - 1321","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (64\/(-12))\/(8 - 408\/36)?\nAnswer: 8\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 193 - 890 = 321*v + 1229 for v.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = 4*a. Let l = 48 - 52. Let z(d) = 5*d + 1. Give l*u(y) + 3*z(y).\nAnswer: -y + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1497 + 1494. Let l = 242 - 244. What is the third smallest value in f, -6\/17, l?\nAnswer: -6\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) be the second derivative of -n**7\/21 + n**5\/20 + 13*n**3 + n**2\/2 - 15*n. What is the second derivative of o(z) wrt z?\nAnswer: -40*z**3 + 6*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 23*(-2 - -5) + 4.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1.25 + -1. Let b = -0.46 + 0.91. Let y = b - n. Which is smaller: -3\/5 or y?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 148737764 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 1913 to the power of 1\/2, to the nearest integer?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (28\/(-8))\/(43\/(-86)).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Add together 1.29 and -0.478.\nAnswer: 0.812","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = 2*g - 2. Let d(x) = 2*x - 3. Give 5*d(a) - 6*m(a).\nAnswer: -2*a - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) be the third derivative of 0*r + 0 - 1\/24*r**4 - 3*r**2 - 1\/6*r**3. Let p(i) = -3*i**4 - 6*i**3 + 5*i + 2. Let t(w) = h(w) - p(w). Factor t(n).\nAnswer: 3*(n - 1)*(n + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 899 * -1169.\nAnswer: -1050931","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 60 and 195.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 49\/11595312 and -149\/9336.\nAnswer: 11595312","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 2, i: 2, l: 2, a: 4}. What is prob of picking 2 l and 1 i?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22 + 5 = 3*v. Let o = v - 6. Solve 3*h - o = -0 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from cnc. Give prob of sequence ccn.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-7)\/((-21)\/(-2)))\/(2\/(-9))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 871.9581 - 1138.957815. Let b = f - -267. What is b rounded to four decimal places?\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5\/2, 0.1, 2.21 in increasing order.\nAnswer: 0.1, 2.21, 5\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 508 and 2032.\nAnswer: 2032","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 980 + 23984. List the prime factors of l.\nAnswer: 2, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -13*l**2 - 4*l - 4. Let v(p) = p**3 + 11*p**2 - 16*p - 44. Let g be v(-12). Let y(m) = -66*m**2 - 21*m - 21. Calculate g*y(o) - 21*t(o).\nAnswer: 9*o**2","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 10, 0.3, 5, -20, 3\/5, -3?\nAnswer: -20","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide (-1 - 0)*(1545\/(-5) - -5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 859 or 117876\/137?\nAnswer: 859","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = 5*r - 2*r**2 - 3 - 3*r - 3*r + 4*r. Let d(y) = y**2 - y + 1. What is -3*d(x) - j(x)?\nAnswer: -x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2 + -2. Let i(y) = -11*y + 15. Let o(a) = -4*a + 5. Let d(b) = -3*i(b) + 8*o(b). What is d(z)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -1135, -1, -12, 4, -2\/7, 3, 8?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/((-3)\/24) + -9\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -v**3 - 85*v**2 + 146*v - 2174. Calculate y(-87).\nAnswer: 262","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (4\/234)\/(((-43740)\/1053)\/180)\nAnswer: -2\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*z + 17*z - 7*z = -49*z. Suppose 0 = 3*d - i + 24, 3*i - 8 = -d + 2*d. Put z, -3, d, 1 in increasing order.\nAnswer: d, -3, z, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1306 = -8*f - 5*i + 1256, 0 = -3*f - i - 17 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -3021 - 3124?\nAnswer: -11200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -2, 0.2, 23, -1\/4, 0.08, 33, 2.8?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 33552.54 nanograms?\nAnswer: 0.00003355254","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 27510\/280 - -1*(-2)\/8. Calculate the highest common factor of 14 and s.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8*l**2 - 19*l**2 + 46*l**2)*(-1 - 1 + 4) - 3*l**2 + 0*l**2 + l**2 + (2*l + 3*l - 7*l)*(-2*l - 2*l + 6*l) + 3*l**2 + 2*l**2 - 3*l**2 - l + l + 2*l**2.\nAnswer: 68*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + ((sqrt(637) - (sqrt(637)*2)**2)*-1 - sqrt(637) - (5 + sqrt(637) + 2))*-3.\nAnswer: -7624 + 63*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -193*z - 209. Is u(-5) a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 divided by 2960269\nAnswer: -3\/2960269","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 8032?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.22 times 1014.9265?\nAnswer: -223.28383","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14783 is divided by 79.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = l**2 - 7*l. Let p be r(2). Let y be (8\/5)\/((4\/p)\/(-1)). Solve y*f - 7 - 1 = 0 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6 + 6 + 3*u**2.\nAnswer: 3*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-20)\/2*(-3)\/(-27)*540\/120?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 5507 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3*f**4*o + 142025*f**2*o - 4*f*o - 154*f + 1830*o - 4 wrt f.\nAnswer: 36*f**2*o + 284050*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -10*(-1 - 51\/(-45)). Is 0 < q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1618?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 115160803.\nAnswer: 115160803","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -10447.71576 from 732.\nAnswer: 11179.71576","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) be the second derivative of j**4\/3 - j**3\/2 - j**2 - 3*j. Let o(g) = -9*g**2 + 7*g + 5. What is -5*h(r) - 2*o(r)?\nAnswer: -2*r**2 + r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**(2\/63)\/c)\/(c*c**(3\/7)))**37 assuming c is positive.\nAnswer: c**(-5587\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-6)\/8)\/(3*(-5)\/(-60))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 12 - 16. Let z be 3 + (o\/(2\/1))\/2. Factor 0 + 1\/3*v - 1\/3*v**z.\nAnswer: -v*(v - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -702*j**3 - 702*j**3 + 1388*j**3 + 6*j to y*j + k*j**2 + t*j**3 + n and give k.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 3\/(-7) + 1\/(-14) and -39\/4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -x**2 - 7*x. Let v be f(-8). Let m(w) = -w**2 - 7*w + 9. Let p be m(v). List the prime factors of 5 + -2 - p - -29.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/((-5)\/10*-7).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.3 (b) 136 (c) -131 (d) 0 (e) 1\/2 (f) 2 (g) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -1637, -3319, -5003, -6689, -8377, -10067, -11759?\n\"Answer: -i**2 - 1679*i + 43","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-3)*i)\/(i\/i**(-1))*i*(i\/i**(-2\/17))\/i*i*i**(1\/8)*i*i assuming i is positive.\nAnswer: i**(33\/136)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 51 divide 173744?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = s**2 + s - 25. What is g(-7)?\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x - 5*h = -2 - 133, 5 = -h. Let b be x\/(-14) - (-20)\/70. Let u = b - -8. Solve o = u*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-12)\/(-6) + (-2)\/(-1). Let d(g) = -g + r*g - 2*g + 1. Let n be d(2). Are n and 2 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-3 + 1 + 0)*(1 + 0 + 0) - 1 - 4 + 6)*(9 - s**5 - 9).\nAnswer: s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -19*z - 4*z + 18*z + 5*k + 350, -49*z + k + 3334 = 0 for z.\nAnswer: 68","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 20\/19 (b) 3 (c) -17\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a day in seconds?\nAnswer: 51840","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hrsdrrrrssthsnss. Give prob of picking 2 s.\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -3*j**4 + 4*j**3 - 25539*j**2 - 518007324 wrt j?\nAnswer: -12*j**3 + 12*j**2 - 51078*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 2672402 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: Suppose -r = -d, -7 = -3*r - 4*d + 14. Let a(b) = -b - 2. Let u(n) = -2*n - 6. Let l(g) = r*a(g) - u(g). Let i = 0 + 0. What is l(i)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -2 (b) -4 (c) 7 (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*i + 17 = -20*i + 38. Solve 14 = -3*v - o, i*v = 34*o - 32*o - 17 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2709 and 12341?\nAnswer: 301","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-15)\/6*(-12)\/(-10). Let t be 1 + 2 + l + 3. Solve 4*u + 8 = 2*j - 8, 10 = 4*j + t*u for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 32 + -28. What is the greatest common factor of 32 and g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-226)\/678)\/(2\/((-12)\/10)).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -329, -553, -777, -1001?\nAnswer: -1225","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -4 * 13\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g + 2*h + 2 = 4*h, -20 = g + 4*h. Let o = g - -14. What are the prime factors of o?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -78 + 133. Suppose p - 13 = -y - y, -4*p - 5*y + x = 0. What are the prime factors of p?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (11 - 6 - 7) + -3.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*i = 5*h - 459 + 451, 5*i - 9*h = 4 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = 4*k - 2*j + 8, 3*j = -k + 8. Which is the nearest to 2? (a) -1\/2 (b) -2\/89 (c) k (d) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m = -3*b, 2*b + 3*m = 2*m. What is the second derivative of 4 - 1 + 6 + 7 + 2*j + b*j - 20*j**3 wrt j?\nAnswer: -120*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -524 (b) 1 (c) 6 (d) 634 (e) -0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2 (b) -10 (c) -75\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 - 3 + 2)*(-t + 2*t - 6*t) as f + v*t and give v.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2621 + -2496. Which is smaller: 126 or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*a**2 + 2*a**2 + 3661*a**3 - 2*a**2.\nAnswer: 3661*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 1397 to the power of 1\/2, to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*k - 2 + 2 + (0 - 5 - 3)*(-12 + 12*k + 12 - k + 5*k - 2*k + (0 + 0 + 2)*(-3 - 2*k + 3) + k - 4*k + 4*k).\nAnswer: -90*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14122 - 7209 = 257*p for p.\nAnswer: -83","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = y - 5. Let b be s(4). Let m be (0 - b)*(-9)\/(-3). Suppose -l = m*l. Solve l = 5*i + 5 - 0 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -4 (b) 0.1 (c) 48.3 (d) 3 (e) 2\/15 (f) -1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 20332460 divided by -4066492?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) be the second derivative of -9*i**3\/2 + 7*i. Let x(v) = v**2. Calculate u(x(c)).\nAnswer: -27*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -28290860 rounded to the nearest 100000?\nAnswer: -28300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:32 AM and 7:18 PM?\nAnswer: 466","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*i**2 - 358635*i - 3227472 = 0. What is i?\nAnswer: -119536, -9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*q + 0*q - q)*(-2 - 2*q**3 + 2) + q**4 + 2 - 2 + (0*q**2 - 2*q**3 + 0*q**2)*(-3*q + 4*q - 3*q) + 4*q**4 - 5*q**4 + 3*q**4 + 29*q**4 + 119*q**4 - q**4.\nAnswer: 150*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -74*j + 284 + 2454 = 0. Let c(b) = -3*b**3 + 4*b**2 - 3*b. Let s be c(3). What is the remainder when j is divided by (0 - s\/3) + -3?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uouuoouoocu. What is prob of sequence uc?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*r\/(r**(-1)\/r)*((r\/(r\/(r**(-2\/19)\/r)))\/r)\/r*r)**49\/((r\/((r\/(r*r*r**0\/r*r))\/r))**45)**(2\/3) assuming r is positive.\nAnswer: r**(54\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = 2*c**3 + 7*c + 4. Let p = -2642 + 2648. Let h = -13 - 0. Let v(w) = w**3 + 3*w + 2. Calculate h*v(t) + p*u(t).\nAnswer: -t**3 + 3*t - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 362.9553 hours?\nAnswer: 21777.318","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of (-187)\/(-7) - (-6)\/21 and 33?\nAnswer: 297","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hxf when three letters picked without replacement from {t: 1, k: 2, f: 6, b: 2, h: 1, x: 3}.\nAnswer: 3\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Total of -78452117 and -8.913.\nAnswer: -78452125.913","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -10*r + 10. Let x(q) = 69*q - 69. Let t(b) = 27*f(b) + 4*x(b). Let k be ((-2)\/6)\/(1\/3) + 6. Calculate t(k).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in twenty-seven fifths of a litre?\nAnswer: 5400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1311?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 26960386*s**2 + 614*s + 2314?\nAnswer: 53920772","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*l = -3*l - 140. Let z(m) = -40*m**3 - m - 2. Let k be z(-1). Let i be k\/(-91) - ((-4066)\/l + 2). What is the greatest common divisor of 24 and i?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1185?\nAnswer: 3, 5, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = 31*z**2 + 4*z - 31. Let i(x) = -2*x**3 + x**2 + 7. Let u be i(2). What are the prime factors of k(u)?\nAnswer: 2, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 66*f**2 - 2*f - 10 + 2*f - 51*f**2 wrt f?\nAnswer: 30*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) be the third derivative of 0 + 241*n**2 - 1\/75*n**6 + 0*n**4 + 17\/600*n**5 - 1\/2100*n**7 + 0*n + 0*n**3. Suppose p(b) = 0. What is b?\nAnswer: -17, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -212 + 92.4. Let p = -0.194 + 109.194. Let d = p + f. What is d rounded to 0 decimal places?\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -4 and -19.\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -143 + (97 - -93) - (-2 + (25 - 1))\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 1, g: 4, r: 6}. What is prob of picking 2 g and 1 q?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 1217 + 3?\nAnswer: 1222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 - 1 + 4)*(3*s**4 + 7*s**4 + 16*s**4) in the form h*s + c*s**4 + w*s**3 + j + x*s**2 and give c.\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1900, -1901, -1902, -1903, -1904?\nAnswer: -1905","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2927832?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -21 (b) -0.5 (c) 2\/5 (d) -11 (e) -0.12\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -3373 + 140?\nAnswer: -3233","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = g**2 + 174*g - 2435. Determine z(13).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 4.6 + -4.4. Let u = -43.6 + 44. What is the biggest value in -0.1, t, 1\/2, u?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1338185, 1338190, 1338199, 1338212, 1338229, 1338250, 1338275?\nAnswer: 1338304","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 14766797*y**4 - 285172*y + 4 wrt y?\nAnswer: 177201564*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) be the first derivative of 0*m + 6 - 2\/9*m**6 + 1\/6*m**4 + 2\/3*m**3 - 2\/5*m**5 + 1\/3*m**2. Suppose j(s) = 0. What is s?\nAnswer: -1, -1\/2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 319 is divided by 15?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.1837 - -19.2763. Round f to 0 dps.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 72b2 (base 14) to base 12\nAnswer: b524","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 18091 a multiple of 79?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a - 23*u = -24*u - 7, 0 = 3*a + 2*u - 12. Let n = 118 - 58. Suppose 0*z + 3*z - n = j, -6 = -a*j. Is z a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o + 10*o - 30 = 0. Calculate the smallest common multiple of o and 14.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 208872.\nAnswer: 2, 3, 967","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 36 + (-54)\/3*(-64)\/(-128). Let c(x) = -x**2 + x + 2. Let l be c(2). Let f = l - -3. Calculate the greatest common divisor of a and f.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -s**2 + 6*s - 7. Let k be x(7). Let l be 2\/4*12\/k. Put 2\/7, l, 0.3 in decreasing order.\nAnswer: 0.3, 2\/7, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -4133 - -4310. Is -8 at least as big as v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 10018*b**3 + 19977*b**2 wrt b?\nAnswer: 60108","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zzzz when four letters picked without replacement from gzggzzggzgggz.\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1284*k**2*x**3 - 9*k**2*x**2 + 2*k**2*x - 2*x**3 wrt x.\nAnswer: 7704*k**2 - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) be the second derivative of -m**5\/20 - m**4\/12 - m**3\/6 + 177*m**2\/2 + 1084*m. Let f = -2 - -2. What are the prime factors of c(f)?\nAnswer: 3, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*f**3 - f**3 - 4*f**3 + (-3*f**2 + 2*f**2 - f**2)*(2*f + 2*f - 3*f) + 0*f**3 + 0*f**3 - 2*f**3 + f**3 + 0*f**3 - 2*f**3.\nAnswer: -7*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2607, 10485, 23633, 42051, 65739?\nAnswer: 94697","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -1b6b - 0?\nAnswer: -1b6b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:47 AM and 11:53 AM?\nAnswer: 186","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = 18*l - 11. Let n(w) = 9*w - 5. Let u(g) = 11*n(g) - 6*y(g). Let z be u(-9). Suppose -7*c = -3*c - 4*p - z, 20 = c + 2*p. Is 16 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s + 3*d + 52 - 10 = 0, -5*d = 5*s - 50. What is the third derivative of s*h**2 - 6*h**6 + 8*h**6 + 3*h**6 wrt h?\nAnswer: 600*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 424079 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 80.163 - 80. Let g = k - -0.037. Which is the smallest value? (a) 4\/3 (b) -4\/5 (c) g (d) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -244610, -244423, -244236, -244049?\n\"Answer: 187*v - 244797","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (20\/(-25)*35\/(-14))\/((-12)\/2).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 7096259?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = 1 + 16*s**2 + 0*s - 2*s - 40*s**2. Let u be k(1). Let p = u + 56. Calculate the remainder when p is divided by 11.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*n - 1496 = 7*n - 33*n for n.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00007665438 rounded to seven dps?\nAnswer: 0.0000767","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2271 + -31793\/14. Let s = -1.3 + 1.5. What is the closest to s in -2\/15, b, -2\/9?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.4*53.\nAnswer: -21.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 111010 (base 2) to base 13.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4\/5)\/(52\/(-520)).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -152 = 35*f + 163 for f.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 59299201 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = w**3 + 6*w**2 + 4*w - 3. Let q be n(-5). Let d be q\/(-6) - (-11)\/(-66). What is the nearest to 1 in -5, d, 2\/17?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -253133 divided by -32?\nAnswer: 253133\/32","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 885?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 463 minutes after 6:39 PM?\nAnswer: 2:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-15 + 10)*87\/29.\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1 - 1. Suppose f*m = -5*m + 400. Suppose -2*n + 6*n = m. Calculate the greatest common divisor of n and 8.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2507 - 2506 + 5016 + 3*j)*(2 - 4 + 0 + (-3 + 2 + 3)*(-1 + 0 + 0) + 1 - 4 + 10 + 0 + 3 - 4) - 3*j - 3 + 3.\nAnswer: 3*j + 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -9*z**3 + 12*z**2 + 6*z - 6. Let o = -1 + 2. Let f(r) = -r**3 + r**2 + r - 1. Let s(u) = o*n(u) - 6*f(u). Determine m, given that s(m) = 0.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8785613 divided by -46.\nAnswer: -8785613\/46","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3082 - 33900\/11. Which is the fifth biggest value? (a) 0.3 (b) s (c) -1\/30 (d) 1\/2 (e) -2\/7\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u - a - 10 = 0, 0 = 4*a + a + 20. Suppose -2*g + u*g = 4. Let q(o) = 6*o + g + 2*o - 3*o. Let x(w) = -14*w - 3. Determine -17*q(h) - 6*x(h).\nAnswer: -h + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y - 132 = -5*i, 58 = i + i + 4*y. What are the prime factors of i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kpkkkkkttkkkkkkkk. What is prob of picking 1 p and 1 t?\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = n - 2. Let s(h) = 6*h - 141. Determine 9*c(w) - s(w).\nAnswer: 3*w + 123","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 155072.4 nanoseconds in seconds?\nAnswer: 0.0001550724","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.1 - 0.1. Let m = 0.916 - -475.084. Let d = 479 - m. What is the closest to v in -4, -0.1, d?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -162569 and 53046.\nAnswer: -109523","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -4*126\/(-24)*((-24)\/14)\/6\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 306\/(-578)*22\/33.\nAnswer: -6\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -8, 3, -1.\nAnswer: -8, -1, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 697909710 divided by -38.\nAnswer: -18366045","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = h - 5. Suppose 5*n + 0*x + 15 = 5*x, -4*x + 12 = -2*n. What is p(n)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 53\/4 of a century?\nAnswer: 1325","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1426*y - 2232*y - 261099 = -518*y + 757*y for y.\nAnswer: -67","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 24 (b) 3 (c) 154\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -109*h - 5*r = -105*h + 22, -3*h - 3 = -3*r for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 4*(3 - (4 + -9)). Let s be ((-40)\/o)\/(2\/8). Let z(m) = -m**2 - 8*m + 1. Give z(s).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7112701 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -8 + 26\/3. Let t = -290.172 - -0.172. Let p = t - -290.1. Which is the nearest to n? (a) p (b) 3 (c) -2\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) be the first derivative of h**4\/2 - 3*h**3 + 5*h**2 + 29*h + 30. Let f be t(5). Which is smaller: f or 103?\nAnswer: 103","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000103338 rounded to 7 decimal places?\nAnswer: -0.0000103","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w**4\/4 - 63*w**3\/4 + 91*w**2\/2 - 30*w = 0. What is w?\nAnswer: 0, 1, 2, 60","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*h + 62*o = 67*o + 35, h = 5*o + 15 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 6.8 + -0.8. Let w = -9 + q. Which is the second biggest value? (a) w (b) 1\/7 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6 - -1) + (5 - (5 + -6))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 1a59898 (base 11) to base 9\nAnswer: 6465580","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8537792*m**3 - 4 + 8537792*m**3 + 1 - 25613372*m**3 + 3 + 8537791*m**3.\nAnswer: 3*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*c**3 + 5*c**3 + 0*c**3 - 3*c**3 + 3*c**3 - c**3 + (c**3 + 2*c - 2*c)*(1 - 2 - 3).\nAnswer: -4*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = 2*s**2 - s. Let w(g) = -15*g**5 + 17*g**2 - 42*g. Let l(j) = -18*m(j) + 2*w(j). What is the second derivative of l(u) wrt u?\nAnswer: -600*u**3 - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*g - 10 = 4*o + 2*g, 3*o + 4*g = -15 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 36929 + 4286. What is the units digit of n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = 6 + 6 - 30*r + 29*r. Is 7 a factor of x(5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3.598224 decades to months.\nAnswer: 431.78688","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(sqrt(11) + sqrt(99)\/(sqrt(18)\/sqrt(2)) + sqrt(11))**2.\nAnswer: -297","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 99\/64 and 77\/328.\nAnswer: 2624","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = 2830*t**2 + 26*t + 192. What is l(0)?\nAnswer: 192","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = 502 + 693*t - 502. Let l(s) = s**2. Give y(l(w)).\nAnswer: 693*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-20)\/10 + (2 - -79*(1 - -5)). Solve 15*f - 549 = -k for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5726 rounded to 1 dp?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f*(f\/f**(-1))\/f)\/f**(-2\/7)*(f**3*f*f*f*f*f)\/f*f\/((f*f**1)\/f)*f)\/((f*f**0)**36\/(f*f**(-3\/7)*f*(f\/((f\/f**2)\/f))\/f)) assuming f is positive.\nAnswer: f**(-155\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 40572 and 552.\nAnswer: 276","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1367648?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -u**3 - 10*u**2 + 10*u - 5. Determine f(-11).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -22*r - 1150. Let t be z(-52). What is the second biggest value in 4, t, 12?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 140\/(-42)*(-1 - (-2)\/(-10)). Let l be -4 + 3 + d + 52\/(-1). Let y be (3 + -3 + -200)*l. What is y rounded to the nearest 1000?\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*l - 3*l + 0*l)*(-9*l - 9 + 9)*(l + 2*l**2 - l + (6*l - l - 4*l)*(-1 + 2*l + 1))*(-95*l - 20831 + 20831).\nAnswer: -3420*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-17543999*x + 3640*x**2 + 17543999*x)*(3*x - x - x).\nAnswer: 3640*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 463300.3 millimeters?\nAnswer: 463300300000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n and 2 a when three letters picked without replacement from qwwhawnhhhwwwqaq?\nAnswer: 1\/560","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xzkvv. Give prob of sequence zkv.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2 - -2. Suppose -v*d = 5*z - 52, 5*d - 4*z = 12 + 12. Let q = 14 + 9. Calculate the remainder when q is divided by d.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -9221.2 and -0.0774562.\nAnswer: -9221.2774562","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -t**3 - 9*t**2 + 12. Let n be u(-6). Let i = n - -80. Let s(r) = 2*r**2 + 20*r + 20. Is 40 a factor of s(i)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/5 in -1\/5, -5, 2\/7, -1\/488?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 15 + 2. Let i = -3 + 6. Suppose 3*t - s = 153, -i*t + 4*s - 88 = -5*t. What is the remainder when t is divided by d?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-20)\/(-6)*(-3)\/(-2). Suppose -3*l - 5*b - 3 = l, 0 = -v*l - 3*b - 20. Calculate the remainder when 42 is divided by 79\/7 + 2\/l.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 305.262 rounded to the nearest one hundred?\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from assssa. What is prob of sequence sss?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3*u**5 - u**3 + 227*u**2 + 34280*u.\nAnswer: 60*u**3 - 6*u + 454","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) be the third derivative of g**5\/150 + g**4\/6 - 11*g**3\/15 + 22*g**2 - 27*g. Find s, given that n(s) = 0.\nAnswer: -11, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 50874 is divided by 161?\nAnswer: 159","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -14*h - 6. Let w(m) = 5*m + 2. Let y = -13 - -16. Let t be -1 + (-6)\/(-3) - 6*y. Calculate t*w(g) - 6*s(g).\nAnswer: -g + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 104466358?\nAnswer: 2, 73, 715523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4 - -6) + (2 - (1 + -2))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -12, -40, -118, -270, -520?\nAnswer: -892","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 4544550 (base 6) to base 13\nAnswer: 8164b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1934*i = -1911*i - 1519610. What is the units digit of i?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1 - -17. Suppose 13 = -b + 16. Suppose -i + b*i = c. List the prime factors of i.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-30)\/(-495)*-22*(-2)\/24\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2439 or -2440?\nAnswer: -2439","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 0.0367 * -10\nAnswer: -0.367","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 24 and 1944.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) be the third derivative of 3*k**8\/16 + 11*k**6\/40 + k**5\/30 - k**4\/8 + 185*k**3\/6 - 29*k**2 - 10. What is the third derivative of m(o) wrt o?\nAnswer: 3780*o**2 + 198","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 7*n**2 - 4*n**2 + n**2 + (-n + 4*n + n)*(-4*n + 0*n + 3*n) + (5*n - 2*n - n)*(1 - 2*n - 1) - 2*n**2 - 5*n**2 + 5*n**2.\nAnswer: -6*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from aejappaapahxpppa. What is prob of picking 1 x, 1 e, and 1 h?\nAnswer: 1\/560","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 511701553?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qpqamhj. What is prob of picking 1 m and 2 p?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 5 - 20\/2*12\/30. Let o(x) = -x**3 + x + 1. Let q(k) = -4*k**3 - k - 1. Determine l*o(m) + q(m).\nAnswer: -5*m**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*k**3 + 180*k**2 + 2112*k + 1936.\nAnswer: 4*(k + 1)*(k + 22)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -130, -199, -268, -337, -406, -475?\n\"Answer: -69*h - 61","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.095 and 0.26614.\nAnswer: -0.0252833","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -539*j + 27. Let h be w(-1). Let d(b) = 0*b + b + 566 - h + 10*b. Calculate d(-2).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 650508 divided by 5?\nAnswer: 650508\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 972580.1t?\nAnswer: 972580100000000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(11) - (sqrt(275) - (-2 + sqrt(275))) - (sqrt(1331) + 2).\nAnswer: -10*sqrt(11) - 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -q**3 - 15*q**2 - 47. Let r(z) = -z**3 - 14*z**2 - 48. Let i(a) = 6*r(a) - 7*u(a). List the prime factors of i(-21).\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3118930 divided by 122?\nAnswer: 25565","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1008 - 90 = -92*q + 190. Let h = 0 - -11. Calculate the smallest common multiple of q and h.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 500687676?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*b + 6*b + 169056 - 9*b + 2*b.\nAnswer: -5*b + 169056","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = 101*t + 5. Is l(4) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + -5*sqrt(133)\/sqrt(7))**2.\nAnswer: 475","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 699*s**5 - 406*s + 2 wrt s.\nAnswer: 13980*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s + 2*s = -516. Let x be s\/6*(-18)\/4. Suppose -3*y = -0*y - x. Calculate the remainder when y is divided by 15.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 120 + -120. Suppose o = f - 5*h + 8, -3*f - f + 40 = -2*h. Let q(g) = 2*g + 25. Let b be q(-9). Solve -b = 4*r - 5*s, 0 = -s - 3*s + f for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q - n = -9, -2*q = n - 3 + 1. Let f be 2 + ((-17)\/(-8))\/q. Sort 4\/7, f, -0.1 in descending order.\nAnswer: 4\/7, -0.1, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nlbpbnllnsn. What is prob of sequence sn?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let -p**5 - 147*p**4 + 88629*p**3 + 20844575*p**2 + 1137184200*p + 18245574000 = 0. Calculate p.\nAnswer: -205, -36, 335","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -401*f**3 + 496*f**3 - 94*f**3.\nAnswer: f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) be the third derivative of 0*o + 0 + 0*o**3 + 6*o**2 - 5\/24*o**4. Let i(g) = g. Give i(w(l)).\nAnswer: -5*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -3 (base 15) to base 10\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 240*l - 245*l = -30 for l.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m = -4*a - 209, -a - 35 = -4*m + 22. Let k = -50 - a. What is the third derivative of k*y**3 + 24*y**2 + y**3 + 18*y**3 - y**3 wrt y?\nAnswer: 126","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -205 divided by -434\nAnswer: 205\/434","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 907546?\nAnswer: 2, 227, 1999","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3018 by -641.\nAnswer: -3018\/641","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3 + -8. Let p = i - -4.84. Let c = 0.06 + p. Are 0 and c non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bibbibbi. What is prob of sequence bi?\nAnswer: 15\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 81 is divided by 25?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3587196?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(68) + 0 + sqrt(68) + sqrt(68) + 0 - ((-4*(1 + sqrt(68)) - sqrt(68)) + sqrt(68))) + 5 + -1 + sqrt(68) + 5)**2 + -2)*6.\nAnswer: 2496*sqrt(17) + 27114","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -11.8 - -16. Let c = x - 4. Is 1 greater than c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 761211 and 87120?\nAnswer: 1089","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 25 and 467.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Add 30773248 and 0.202.\nAnswer: 30773248.202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9431906 divided by 11.\nAnswer: -857446","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4 - -11 - 10) + -12 - -22.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g*g*g**(-2))\/(g\/g**(5\/2)))\/(g**(-5)*g**2*g) assuming g is positive.\nAnswer: g**(7\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = k**3 - 6*k**2 + 15*k. Determine a(4).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4*k**2 + 4*k**2 - 2*k**3)*(2*k + 3*k - 3*k) - 142 + 5*k**4 - 3*k**2 + k**3 + 142 in the form v*k + d*k**4 + f*k**3 + w*k**2 + z and give d.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -7 + 5521345?\nAnswer: 5521338","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2 + -4)*(-14)\/(-21).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 329987*0.62.\nAnswer: 204591.94","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 0.2, 28602.7, -5 in descending order.\nAnswer: 28602.7, 2, 0.2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = 208*m - 126. What is the thousands digit of f(9)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26*s + 168 = 5*s for s.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = h**2 + 4*h - 8. Let p be b(-6). Let s = -62 + 65. Suppose s*l = -5*t + 22, 10*t = 9*t - 5*l. Put 0, t, p in decreasing order.\nAnswer: t, p, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -2*t. Suppose 4 + 11 = 5*i. Let m(n) = n + 5*n + n - i*n. What is m(x(a))?\nAnswer: -8*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 982921\/37 greater than 26566?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (-11)\/3*(1037\/(-1445) - (-10)\/85)\nAnswer: 11\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (-6*(2 + (2 + sqrt(704) + -1 + -5)*2 + -3)*5)**2.\nAnswer: -259200*sqrt(11) + 2607305","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 85 - 94 - (1 + -8).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1075537?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -6888*p - 908885. Determine u(-132).\nAnswer: 331","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -42 - -100. Let z be (-1)\/(-12) - (-8 - 95466\/72). What is the greatest common factor of z and k?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 7056882?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/2 at least -2\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(1 + (sqrt(448) - (sqrt(448) - (sqrt(448) + (sqrt(448) - (sqrt(448) + -2)**2))))).\nAnswer: -902 + 96*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 5091246 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((j*j**(-8)\/j)\/j)\/j**(-8\/3))\/(((((j**4*j)\/j)\/j)\/j*j)\/j**(-5)))\/((j**2\/j)**14*j**(3\/5)*j\/((j\/(j**(7\/4)\/j))\/j*j*j)) assuming j is positive.\nAnswer: j**(-1721\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*((sqrt(225)\/sqrt(9))\/sqrt(5)*1)**2 + 4*(4 + sqrt(5) + sqrt(180)) + -2.\nAnswer: 29 + 28*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 54?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -c + 15. Suppose -2*p + y + 40 = 0, 5*p + y - 106 = 5*y. Let u = 80 - p. Calculate the remainder when u is divided by c.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -62111*a**2*s**2*y - a*s**2*y - 1679*a + s**2*y wrt a.\nAnswer: -124222*s**2*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 2, v: 3, n: 4, m: 4, d: 3}. Give prob of sequence ii.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2580\/(-9933)*(-3)\/(-6)*(-42)\/6?\nAnswer: 10\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 811, 858, 907, 952, 987?\nAnswer: 1006","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/7? (a) 0.04 (b) 66 (c) -1\/14 (d) 3\/70 (e) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 31 is divided by 19.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = x**3 - 8*x**2 - 11 + 12*x + 4*x + 13 - 4*x. Let b be g(6). Let i(k) = -3*k**2 - 3*k + 1. What is i(b)?\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (91*o**3 - 16*o**2 + 16*o**2)*(10*o**2 + 18*o - 18*o) + (3*o**2 - 4*o**2 + 2*o**2)*(-3*o + 3*o - o**3) + o + 2*o**5 - o.\nAnswer: 911*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-20*t**2 - 14*t + 16*t + 19*t**2 + 43*t**3)*(0 + 0 - 3*t).\nAnswer: -129*t**4 + 3*t**3 - 6*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-6)\/(0 + (-12)\/8). Suppose 83 = -p*o - 13. Is 0\/(0 - 1) - o a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 700 and 550?\nAnswer: 7700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 2962 to the power of 1\/2, to the nearest integer?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 7*((-60)\/(-14) - 4). Solve x*q - 12 = -2*q for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 208*o**2 + 9816146*o - 4908070*o - 69*o**2 - 4908076*o - 69*o**2 - 73*o**2.\nAnswer: -3*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Are -3665 and -3667 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -47 + 55. Solve -3*z - 4*j + s = 0, 0*j + 3*j + 3 = 0 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -c - 13*c**2 - 47*c**3 - 77*c**2 - 6*c + 92*c**2 as o*c**2 + d*c + b + w*c**3 and give d.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 5543653?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -w**2 + 11*w + 5. Let i(z) = z**2 - 16*z - 7. Calculate -5*i(r) - 7*x(r).\nAnswer: 2*r**2 + 3*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4*sqrt(8)*-3 - (3*(sqrt(2) + 2*sqrt(2)) + -3)) + sqrt(288) + 0 + (sqrt(2) - (sqrt(162) + -1 - sqrt(2)))*-2)**2.\nAnswer: 82*sqrt(2) + 3363","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 643 minutes before 10:11 AM?\nAnswer: 11:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide -3 + (-5 - (-1 - 0) - -241)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 44 a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (9*7\/21)\/(((-108)\/56)\/(-9)).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4*(-4)\/24)\/((-4)\/(-18)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-6)\/9)\/((-4)\/18). Suppose -3*i - r*m + 51 + 60 = 0, 0 = -4*i - m + 148. Let b(j) = 2*j + 7. What is the remainder when i is divided by b(6)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 11, w: 5}. Give prob of sequence bwwb.\nAnswer: 55\/1092","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -54, -65, -92, -141, -218, -329, -480?\n\"Answer: -b**3 - 2*b**2 + 2*b - 53","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 11167965 to the power of 1\/5, to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pcxp when four letters picked without replacement from {x: 3, v: 1, n: 7, c: 2, p: 4}.\nAnswer: 3\/2380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 38700 and 47190?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 107 is divided by (-23)\/(-2) - (-1 + 2)\/2?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 77\/30 and (-6)\/4 + (115\/36 - -2)?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (196\/(-24))\/(-7)*(-4)\/(-7).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.04 * 699.\nAnswer: -27.96","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 12427\/9 not equal to 1381?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -171, -404, -811, -1398, -2171, -3136, -4299, -5666?\n\"Answer: -i**3 - 81*i**2 + 17*i - 106","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = 7*l**3 - 4*l**2. Let s(x) = x**3 + x**2. Calculate -3*m(w) - 12*s(w).\nAnswer: -33*w**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 259 is divided by 66?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3993*n**3 + 4717*n**2 wrt n.\nAnswer: 23958","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 - 6 + 3)*((-10*g + 8*g - 10*g)*(-1 + 0 - 1)*(12 + 7 - 32) - g + 4*g + 0*g) in the form v*g + b and give v.\nAnswer: 309","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1769091608?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -5757 - -6051. Is h a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -492*o - 5*u = -493*o, 13 = 3*o - 2*u for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -15*p**2 + 10634350*p + 14179160.\nAnswer: -5*(p - 708958)*(3*p + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 5 + -9 + 2 + 250?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 679 minutes after 11:07 AM?\nAnswer: 10:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8960?\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.3 and -1639.7729291128.\nAnswer: -1640.0729291128","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.0122 and 0.12?\nAnswer: 0.1078","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 315180 to the power of 1\/2, to the nearest integer?\nAnswer: 561","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*i**2 + 2*i - 24 + 6*i + 6*i + 0*i**2 - 12*i.\nAnswer: 2*(i - 3)*(i + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6.297 rounded to 0 decimal places?\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = -5*n + 6. Suppose 11*a - 687 = 8*a - n*o, 3*a = -3*o + 684. List the prime factors of a.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 501, 502, 503, 504?\n\"Answer: p + 500","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1010011 (base 2) in base 13?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 8 - 6. Suppose 80 - 14 = x*u. What are the prime factors of u?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -523*0.034384\nAnswer: -17.982832","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.5, 3, -0.2, 10, 9293 in descending order.\nAnswer: 9293, 10, 3, 0.5, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2179 - 2192. Let a = -0.8 + 0.9. What is the fourth smallest value in -0.6, a, j, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 72\/17 - 1211\/306. Let h = 1\/9 - u. Let i = 7 - 6.9. Which is the nearest to i? (a) h (b) 2 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -116 - -383. Suppose -7*j + 8*j + 334 = 5*w, 4*w - k = j. Let v = w + -64. Solve 2*q - 5*x - 8 = 0, 6*x - 3*x = v*q - 12 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -1\/550 and -39\/8.\nAnswer: 2200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**1)**(-1\/14)*c**(-2\/9)\/((c*c**(-2\/11)*c)\/c) assuming c is positive.\nAnswer: c**(-1541\/1386)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 6, k: 2, t: 2, p: 1, m: 1}. What is prob of picking 1 t, 1 m, and 1 p?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = 672637 - 672637 + r - 3*r. Let p(s) = -s**2 - 233. Determine p(z(u)).\nAnswer: -4*u**2 - 233","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence an when two letters picked without replacement from nezvnnrzneae?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*r + 1 + 22 = -4*r - 3*t, -3*r - t - 28 + 35 = 0 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(34)\/sqrt(2))**2*-5 - sqrt(17)) + (-2 + 1*sqrt(17))**2.\nAnswer: -64 - 5*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/7? (a) 1.2 (b) -2\/3 (c) -1.2 (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -109*z - 4358 - 4365 - 4357 + 17443 - 4361.\nAnswer: -109*z + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -1202 less than 0.05?\nAnswer: 1202.05","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ffff. What is prob of sequence fff?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.08 (b) -1\/20 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3.3037 * -0.15.\nAnswer: -0.495555","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: ((-14)\/112)\/(1\/(-2))*-6\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 20014 is divided by 61?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 990.7879 weeks to minutes.\nAnswer: 9987142.032","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y + 5 + 35 = 0. Suppose y = 3*t - 7. Solve 4*b + h - 2 = 0, -2*b - t*h + 2 = -4*h for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -5 (b) -17\/3 (c) -1.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((n**(4\/7))**(-35))**(4\/5))**(-36) assuming n is positive.\nAnswer: n**576","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 112488809.\nAnswer: 151, 744959","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 736\/(-176)*198\/(-36)*1*9\/3?\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) be the first derivative of 108 - 1\/8*w**4 - 5\/2*w**2 + 11\/6*w**3 + 0*w. Factor b(z).\nAnswer: -z*(z - 10)*(z - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*h - 4*q + 24, 5*q - 18 - 13 = -3*h. Suppose 3*i = -6 + 18. What is the greatest common factor of i and h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve h = -4*g - 12, -2*h + 3*g = -4*h - 14 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - 105 = -3*u. What is the remainder when u*8\/36*(-396)\/(-14) is divided by 27?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = x**2 - 12*x - 20. Let l be k(14). Suppose 0 = l*b - 10*b + 156. What are the prime factors of b?\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seven sixths of a day in minutes?\nAnswer: 1680","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (929 + 85 + 171 + 146)*(7*q + 5 - 5) + (-2*q + 5*q - 4*q)*(0 + 0 - 2) to r + l*q and give l.\nAnswer: 9319","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*c = 5887 - 5875 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = b**3 + 3*b**2 - 5*b - 2. Let l be k(-3). Let q(x) be the first derivative of x**2\/2 - 37. Determine q(l).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 593114941 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5\/4, 112\/31, -5 in increasing order.\nAnswer: -5, 5\/4, 112\/31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + q = -39. Suppose 4*o = -15 + q. Suppose 2*z = -0*z + o. What are the prime factors of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 190\/45 + (2 - 0 - 6).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2243701 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = m - 3. Suppose 3*q - q = 0. Let a be f(q). Let w(d) = -2*d**3 - 3*d**2 - 4. Is w(a) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-1)\/4 - 0 - 0. Let c(k) = 2*k**2 - 3*k - 1. Let s be c(-1). Let h = 0.9 + -0.8. What is the nearest to h in s, t, -5?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3\/4 in 11, -3, 0.3, -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.5*0.0217.\nAnswer: 0.01085","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide 16682 by 97.\nAnswer: 16682\/97","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 524 minutes after 3:30 AM?\nAnswer: 12:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -31? (a) 11 (b) -3\/2 (c) -1 (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lrlv when four letters picked without replacement from vllvsvvvrvvvvvvsrvv.\nAnswer: 13\/23256","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (4\/(-6) + 1)\/(23\/966). Let u be (-28)\/98 - 1438\/q. Let y = u - -517\/5. What is the closest to -2\/9 in 1, y, -5?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.56, -1.5, -0.1?\nAnswer: -0.56","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 65273213 to the power of 1\/3, to the nearest integer?\nAnswer: 403","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: Subtract 4.4002 from -1.4.\nAnswer: -5.8002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 0 - (0 - 1) - -1. Suppose x + 4*m - 6 = 0, 0*m + h*m = -x + 10. Is x a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 215051 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/8 - -1)\/(224933\/(-1204) + 187)?\nAnswer: 21\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = 6*j**2 - 270*j + 1605. Let w be z(6). Solve 237 = 6*h + w for h.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1001000 (base 2) to base 16.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(-5*(sqrt(306)*1 + sqrt(306)))\/(((sqrt(24) + -2*sqrt(24) - sqrt(24)) + sqrt(24))\/sqrt(12) - (sqrt(2) + (3*sqrt(2)*-2 + sqrt(2) - sqrt(2)))).\nAnswer: -45*sqrt(17)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d = -5*k + 2, 4*d - 59 = -51. Solve 0 = 5*l + s, 3*l + l - 3*s - 19 = k for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(144))\/sqrt(9))\/((sqrt(72) + sqrt(8))*-4).\nAnswer: sqrt(2)\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -3*q - q + 2*q + 1 - 24*q**2 + 4*q. Let p be u(-1). Let n = p - -43. Is n a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 262 a factor of 43608590?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 23 + -20. Let q be -3*(-1)\/i*27. Let a = q - 6. What are the prime factors of a?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.15 - 0.15. Let y = 9 + -18. Let n = y - -9.1. What is the nearest to c in -1, n, -0.2?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -13 + -15. Suppose 3*w - 15 - 6 = 0. Does 5 divide (-2)\/w + (-484)\/v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 7 and 3202577.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -s + 3 + 2. Suppose 0 = s*g - o + 4*o + 210009, 5*o = 2*g + 83985. Round g to the nearest 10000.\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*j + 8 = -4 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) be the first derivative of -965*p**3 + 308*p + 310. Differentiate n(m) with respect to m.\nAnswer: -5790*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c = 87*s - 85*s - 5, -3*s - 6 = 0. Suppose -5*m + 249 = 4*z - c*z, -z = -4*m + 192. What is the highest common divisor of m and 28?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/3 in -0.1, 2.7, -10\/23703, 3\/5, 2?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 42 a factor of 2268?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find c, given that -155*c**5 - 160*c**4 + 1855*c**3 + 60*c**2 = 0.\nAnswer: -4, -1\/31, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 138656, 138665, 138668, 138665?\nAnswer: 138656","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 10\/10*(-1 - 1). What is the tens digit of 11 + (k - (-9)\/3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 156 and 564.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1012930.\nAnswer: 2, 5, 101293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -q**3 - 70*q**2 + 373*q - 155. Let n be j(-75). Put 0, 327, n, 1 in decreasing order.\nAnswer: 327, 1, 0, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + -6 + 15 + -16?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -4433 - -4437. Sort -3\/5, 2\/5, 0.27, a, 2.\nAnswer: -3\/5, 0.27, 2\/5, 2, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -15*o + 244. Let j be u(15). Suppose 0*c - 7 = -5*n - c, 0 = 4*n - 2*c. Let k be n*-2 - 4\/(-2). Sort k, j, 3 in increasing order.\nAnswer: k, 3, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -449793 - -650998.\nAnswer: 201205","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*j + 18 = -j. Let q be j\/(((-15)\/(-10))\/((-3)\/1)). Let d(t) = 14*t. Is d(q) a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -66 or -67?\nAnswer: -67","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 1061, -1580, -5983, -12148, -20075, -29764?\n\"Answer: -881*b**2 + 2*b + 1940","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(252) - ((sqrt(252) - (sqrt(252) + -1*sqrt(252))) + sqrt(252))) + 3)**2.\nAnswer: -36*sqrt(7) + 261","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 21042 and 30060.\nAnswer: 210420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 93?\nAnswer: 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = 3*z**2 - 2*z + 2. Let w be u(4). Let x be w\/9*12\/8. What is the first derivative of -12*s**2 + 3*s**4 + x + 12*s**2 wrt s?\nAnswer: 12*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5775095801 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1323314.\nAnswer: 2, 17, 38921","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1 + 1. Let c be 3\/5 - 3\/5. Solve -p*k + r + 2 = 0, c = 3*k + 2*k - 5*r for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**(4\/5))**50*(((v*v**(-27))\/v)\/v)\/v**(-1\/9))**(-2\/7) assuming v is positive.\nAnswer: v**(-218\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -41\/5 - -25\/3. Let b(f) be the first derivative of -r*f**3 - 18\/5*f + 6\/5*f**2 + 3. Let b(w) = 0. What is w?\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (0\/(-3))\/(12\/6). Suppose t = -4*r - v + 9, -r + 3*v = -2 - 10. Solve 3*a + 6 = r*z, 2 = -3*z - 2*a + 3 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8.05314299 rounded to 1 decimal place?\nAnswer: -8.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -891954 or -891953?\nAnswer: -891953","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(2*(sqrt(84) + -1*sqrt(84)) - sqrt(84)))\/(-1*sqrt(3)*6 + -4*4*sqrt(3)).\nAnswer: -sqrt(7)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = 5*w**3 + 55*w**2 + w + 16. Suppose 3*j - 61 - 29 = 0. What is the smallest common multiple of s(-11) and j?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sls when three letters picked without replacement from lllsslllllll.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-74)\/40 + (-135)\/900)*(0 + 12)?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -546 divided by -107.\nAnswer: 546\/107","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -738910 divided by -17?\nAnswer: 738910\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 24432 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 1, y: 2, w: 3, v: 4, z: 3, p: 2}. What is prob of picking 3 z?\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = 9*y**3 + 7*y - 9. Let r(p) = -5*p**3 - 4*p + 5. Let d(m) = 4*a(m) + 7*r(m). Let u be d(1). Solve u = 3*h - 0*h + 12 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1851457 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p - 4*i + 17 = 0, -p + 0 + 8 = i. Let m be 8\/(5\/30*p). Calculate the greatest common divisor of 48 and m.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -7 + (-39)\/(-6) + (-7185)\/(-6). Round x to the nearest one hundred.\nAnswer: 1200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 0 + -1 - 1*2. Let a(z) = -2*z**2 + 2 + 2 - 4*z + 0*z**2 - 3. Calculate a(v).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 3*x**4*y + 166*x**3*y**3 - 2*y**3 + 2377*y wrt x?\nAnswer: 12*x**3*y + 498*x**2*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5, 325, 1433, 3787, 7855?\nAnswer: 14105","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ccc when three letters picked without replacement from gtgbtgc.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 85?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from knkrbuib. What is prob of picking 1 i and 1 n?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 6, 0, -10, -24, -42, -64, -90?\nAnswer: -120","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 2, -2, -6, -10, -14?\n\"Answer: -4*m + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -8\/35 in -364, -0.1, -3\/13, 4?\nAnswer: -3\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 9253301 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 46*w + 1104 = 336*w + 234 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Determine y so that -y**2 - 6804*y - 11573604 = 0.\nAnswer: -3402","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = 2*d**2 + 74*d + 134. Give c(-45).\nAnswer: 854","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -4764200 rounded to the nearest 1000000?\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/29? (a) 0.2 (b) 1\/6 (c) -2 (d) -1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -3*x - 16*x + 27 + x**2 - 2*x + 4*x. Let h be r(15). Let l be (-9 - h)\/((-60)\/(-8)). Which is the nearest to -0.4? (a) l (b) 4 (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from gdddddddddaga. What is prob of picking 3 g and 1 d?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3 - 4*d**2 + 3 + 0*d**2 - 4*d**2 - 3*d**2 + (-3 + 2 - 1)*(2*d**2 + d**2 - 2*d**2) - d**2 + d**2 - d**2.\nAnswer: -14*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b - 2*c = -74365, -4*b - 3*c = 46235 + 13280. Let l = b - -7775. Round l to the nearest one thousand.\nAnswer: -7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:55 AM and 9:00 PM?\nAnswer: 605","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 z when three letters picked without replacement from zpzzzezeezpzzeppz?\nAnswer: 21\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4, 37, 94, 175, 280, 409?\nAnswer: 562","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -109\/29196 and -161\/21240090?\nAnswer: 42480180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -y**3 + 38*y**2 - 35*y - 36. What is the remainder when 143 is divided by z(37)?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 9 - 6. Suppose -2*f - 22 = -p*f. Is 10 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -79 - -308572?\nAnswer: 3084c6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.204 in 690, 5, 0.4, 4\/9?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2522 and 27881971.\nAnswer: 1261","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = 3*t**2 + 35*t - 21. Let s be q(-12). What is the least common multiple of (150\/s)\/(-5)*12 and 25?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2*14\/4*8\/14.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 16\/1148000205 + 402219091711577\/8125545450990. Let i = 2\/3539 - x. Find the common denominator of i and -7\/17.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 780 to the power of 1\/2, to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -64, -69, -72, -73, -72, -69?\nAnswer: -64","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 925 = o - 2453. Let v = -2258 + o. What is the units digit of v\/21 - (-4)\/6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vnlo when four letters picked without replacement from {v: 2, l: 1, o: 3, n: 1}?\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 1\/4, -4, -1, -6.1, 22, 0.88, 4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -4929 divided by -3283\nAnswer: 4929\/3283","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 779539?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 14969 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3.1 - 0.1. Let h = k - 2. Which is the closest to h? (a) -0.1 (b) -2\/9 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*y**2 - 10*y**3 + 18*y**2 - 6*y**2 - 8*y**2.\nAnswer: -10*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 9 and 8919?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 5, d: 7, n: 1}. What is prob of sequence nd?\nAnswer: 7\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (688\/1806)\/((-3)\/(-36))*-7\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is nine tenths of a millennium in decades?\nAnswer: 90","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (0 + 0)\/(-9 + 11). Suppose 5 = 3*o - o + r, d = 3*o - 3*r - 12. Suppose -5*s + 80 = 3*x, o*x - 4*x = -4*s - 4. What is the units digit of x?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 51424059 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1.21 - -1.2. Let n = 0.51 + y. Let s = 0.38 + 0.02. Which is the nearest to -1? (a) 2 (b) n (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-4118)\/(-18531))\/(9\/((-2268)\/(-16)))\nAnswer: 7\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1101 + -100110111110011?\nAnswer: -100110111100110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*k*k**(-2\/23)*k)\/(k\/k**(-6\/5)*k)*(k*k*k*(k\/(k**1*k))\/k)\/(k**(-2\/13)*k) assuming k is positive.\nAnswer: k**(-199\/1495)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -4, -37, -1, 31.\nAnswer: -37, -4, -1, 0, 31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -69426*b*y**2 + 2*b*y + 120*b + y + 13 wrt y?\nAnswer: -138852*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*h - 10, 5*h + 166 = -2*q - 0*q. Let f = q + 255. Is f composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 e when two letters picked without replacement from nneemmnn.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Add 692220175.3 and -0.019.\nAnswer: 692220175.281","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -2050232.78 rounded to the nearest one hundred?\nAnswer: -2050200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l + 137 = -251. Let w = l + -30. Is w a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7.245221g to nanograms.\nAnswer: 7245221000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 6\/25 of a micrometer?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*d - 222 - 158. Suppose -11*w = -79*w + 4352. What is the remainder when d is divided by w?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -293*q - 288*q - 7*q**3 + 865*q - 289*q.\nAnswer: -7*q**3 - 5*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -929*k - 84353. Calculate t(-92).\nAnswer: 1115","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -f**3 - 15*f**2 - 2*f - 12. Determine x(-15).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = d**2 + 23*d - 411. What is z(-35)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16 = -4*u - 4*u for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o = -4*o + 10. Suppose 0*v - 2 = -o*x - 2*v, -4*x + 13 = v. Solve y + x = -y for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 124 and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-29)\/203)\/(208\/448).\nAnswer: -4\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 7.98 - 3.98. Let j = 0.375 + -0.315. What is the third smallest value in 1\/4, 0.3, x, j?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18 = -4*t - 14*o, 0 = 4*t - 5*o - 1 - 0 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nhh when three letters picked without replacement from {h: 1, x: 1, n: 1}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = 7*h - 6*h - 3*c, -2*c + 10 = 0. Let q(w) = 14*w**3 + 5*w**2 - 12*w + 15. What are the prime factors of q(h)?\nAnswer: 2, 3, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2\/(-1)*(-32 + 0). Let v = 73 - x. What is the remainder when 3\/(-1)*(-9 + -2) is divided by v?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 16 + -14. Suppose 5*w = u*w + 48. Calculate the smallest common multiple of w and 22.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3036.578l?\nAnswer: 3036578","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 10 + -16. Let p be 8\/(-12) - (-25)\/(-3). Let g = 2 + p. Let o(n) = n**3 + n**2 - 6*n - 5. Let s(d) = -d**3 - d**2 + 7*d + 6. What is g*o(c) + z*s(c)?\nAnswer: -c**3 - c**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -45.8000732 + 45.8. What is k rounded to 5 dps?\nAnswer: -0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -9.63 to zero decimal places.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 71 minutes before 7:53 PM?\nAnswer: 6:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 14370911 a multiple of 84?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(45)\/(-1*sqrt(9)) + (sqrt(55)*-2 + sqrt(55))\/sqrt(11).\nAnswer: -2*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**5\/c*c**5)\/(c**(-7)*c**(-1\/2)))**14 assuming c is positive.\nAnswer: c**231","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 3618398593 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 8*(-66)\/72*36\/(-22)\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 55 and 145.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/6 in 1\/3, 12913, -0.7?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) be the third derivative of -3*q**2 - 7\/3*q**3 + 0*q + 0 + 5\/24*q**4. Differentiate w(c) with respect to c.\nAnswer: 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -10 (b) -0.7 (c) -87 (d) 0.5 (e) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 849\/198*2 - (11 + 1216\/(-57) - -10). Suppose -q*n - 30\/11*n**3 - 2\/11*n**4 - 126\/11*n**2 + 0 = 0. What is n?\nAnswer: -7, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 378\/99 + (-2)\/(-11). Suppose -4*o - 92 = -y*k - 0*o, 0 = 5*k - o - 115. Suppose -k = -4*g + 9. List the prime factors of g.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 5 and 456740?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 115 - 106. What is the remainder when 28 is divided by g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from fqxoqqk. What is prob of sequence koqq?\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 279 take away -3.9?\nAnswer: 282.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y + 12 = a + 3, -26 = -5*a - y. Suppose 0 = 16*v + 9*v + 5525. Is 5\/((-25)\/a)*v prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 185 and 4?\nAnswer: 181","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 18\/5 of a kilometer in meters?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (4\/208 - (-48)\/208) + (-7)\/(-36)?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is k in 3*k**3 - 49631241*k**2 + 205271698415625*k - 205271648784387 = 0?\nAnswer: 1, 8271873","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = f**3 + 2*f**2 - 2*f + 2. Suppose -g - 1 = -3. Calculate the remainder when 344*(-18)\/(-144) - 8\/2 is divided by a(g).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.4 and -56392.7239395.\nAnswer: -56393.1239395","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 2848812 + 7?\nAnswer: 2848819","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19460*r**2 + 149550*r**2 + 215025*r**2 + 6249*r**2.\nAnswer: 351364*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 3386 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -129, -3, -14, 12?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oa when two letters picked without replacement from jzjujojzuoojmoojoao?\nAnswer: 7\/342","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 213359 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 43 (base 8) in base 12?\nAnswer: 2b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -l**3 + 7*l**2 - 6*l. Let u be t(6). Let n = 1411 - 686. Suppose 720 - n = -m. Solve m*z = -u*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/a**0)**10*(a**(-4))**3 assuming a is positive.\nAnswer: a**(-2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 26\/(85\/850*425\/(-2) + 21)\nAnswer: -104","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 3195 and 4828.\nAnswer: 217260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*b = -21*b - 3. Suppose -3060 = -b*j - 12*j. Calculate the remainder when j is divided by 10.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = 5*z - 24. Let c(m) be the third derivative of -m**6\/120 + m**5\/10 + 5*m**4\/12 - 3*m**3\/2 - m**2 - 34*m. What are the prime factors of c(z)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 3403 + -4?\nAnswer: 3355","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 0 + (-1 - -1060 - -6). Suppose 5*q - c = -185. List the prime factors of q.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 27571368?\nAnswer: 2, 3, 11, 181, 577","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + 12 = 1. Suppose 2*c = 9 + 1. Suppose -35 = -c*f + 3*l, -4*f = -3*l - 41 + 10. Calculate the remainder when a is divided by f.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.5 + 0.6. Let n = 0.1 - x. Let w = 0.6 + n. What is the third smallest value in -0.1, -5, w?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/4 of a meter in millimeters?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -m**2 - m - 1. Let y be o(-1). Let f = -4 + 4.1. What is the nearest to f in -2\/15, -1\/8, y?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 500, 1015, 1518, 2003, 2464?\n\"Answer: -q**3 + 522*q - 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -2*h. Let t(f) be the second derivative of -11*f**6\/36 + 11*f**4\/3 + f**3\/6 - 77*f. Let q(v) be the third derivative of t(v). Determine q(z(n)).\nAnswer: 440*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 5 (b) 5236 (c) -4 (d) -1\/5 (e) 20\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 505?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.29 times 837004?\nAnswer: -242731.16","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4124*y + 4*r + 10 = -4123*y, 0 = 2*y - 5*r - 14 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -a**2 - 38*a - 136.\nAnswer: -(a + 4)*(a + 34)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2.6 + 0.6. Let n = -115 + 121. Let o = n - 10. Which is the third smallest value? (a) -0.1 (b) o (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.2, 0.5, 10.7, -7\/25, 0, 0.4?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*c + 8*c + 5*c.\nAnswer: 7*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -5*t**2. Let w(v) = -v - 4. Let m(b) = 2. Let y(c) = 4*m(c) + 2*w(c). Calculate y(p(i)).\nAnswer: 10*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 779\/(-57) + 14 - ((-58)\/3)\/2. Solve -q*c + 48 = -12 for c.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 75950 is divided by 752.\nAnswer: 750","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = 4*c + 88. Determine k(-20).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = 17*s - 8. Let a(u) = 11*u - 8. Give -4*a(d) + 3*h(d).\nAnswer: 7*d + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/18? (a) -0.12 (b) 180 (c) 9\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -g + 6 = 1 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -91 + 101. Calculate the lowest common multiple of g and 7.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -695, -1384, -2073?\nAnswer: -2762","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = t - 3*g - 1740, 5*t + 2*g = 6*t - 1739. Let s = t - 34. Is s a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -30 - -27. What is the fourth biggest value in 0.5, 2.3, -1, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -505 + -2?\nAnswer: -510","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 737491 is divided by 605?\nAnswer: 601","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 121997\/16 + -7622. Find the common denominator of (-82)\/(-396) - (-8)\/44 and h.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-84)\/12 - (-108)\/32*2. Which is the second biggest value? (a) -1.2 (b) o (c) -7 (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 6, g: 1, b: 3, w: 3, n: 3}. Give prob of sequence mb.\nAnswer: 3\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fl when two letters picked without replacement from {l: 2, f: 5}.\nAnswer: 5\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*l**3\/9 + 16*l**2\/3 - 24*l + 224\/9.\nAnswer: 2*(l - 2)**2*(l + 28)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1580668 or 1580672?\nAnswer: 1580672","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor 22320*w**2\/17 + 4474*w\/17 + 2\/17.\nAnswer: 2*(5*w + 1)*(2232*w + 1)\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4*(-2)\/210)\/(32\/(-80)).\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 545197 a multiple of 54?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -41, 5\/3, -2\/17, -4, 6.2?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:30 PM and 6:46 AM?\nAnswer: 496","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(612) + 0)*2 + (sqrt(612) - sqrt(612)*1)*-3 + sqrt(612) + sqrt(612))**2.\nAnswer: 9792","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find i such that -4*i**2 + 280*i + 284 = 0.\nAnswer: -1, 71","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 14355 and 41415.\nAnswer: 3603105","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 134 and (-40)\/50 - 24\/(-5)?\nAnswer: 268","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -5889, -5894, -5897, -5898, -5897, -5894?\n\"Answer: t**2 - 8*t - 5882","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -y + 28. Let k be h(19). Suppose 44 = k*d - 5*d. Solve 5*a - 1 = -d for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 127*x**3 - 546*x wrt x.\nAnswer: 762*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find w, given that 20715*w**3 - 102009*w**2 + 75030*w + 6264 = 0.\nAnswer: -522\/6905, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 35 and 49?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 40 - -2?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/(a*a**(5\/6))*a**(-10))**(-4\/3) assuming a is positive.\nAnswer: a**(130\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1)\/(-3))\/((-8)\/((-864)\/6)).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 e when two letters picked without replacement from eebbebvebvbbbbvev.\nAnswer: 5\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.02 + -0.18. Suppose 0 = x - i - 5, 0 = -2*x - 0*i - 5*i + 38. Let u be ((-4)\/20)\/(x\/(-30)). What is the second smallest value in u, w, -3?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*x**4 - 150*x**3 + 315*x**2 - 160*x.\nAnswer: -5*x*(x - 1)**2*(x + 32)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 3761282818741\/5888613 + -206294284\/323. Let m = 2\/6077 - b. Let g = -56 - m. Sort -2\/17, 0.5, -5, g.\nAnswer: -5, -2\/17, g, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = 8*c + 3. Suppose 0 = -h + 3 - 4, 5*f + h = 529. What is the remainder when f is divided by u(3)?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve d - 4 = 2*t, -24*t + 7*d = 2*d - 8 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -2*x**2. Let y(r) = 3. Let b(l) = 0*l + 0*l + 12 + l**2. Let c be (28 - 13)*(-8)\/(-10). Let i(a) = c*y(a) - 3*b(a). Calculate i(q(o)).\nAnswer: -12*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 228 = -3*c - 5*n - 263, 2*c = 3*n - 359. Sort 14, 5, c.\nAnswer: c, 5, 14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) be the first derivative of -f**3\/3 + 2*f**2 - 4*f - 3. Let u(y) = 0. Calculate y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 169778130 and 22637084?\nAnswer: 339556260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 5 in 4\/9, 0.3, 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:18 PM and 1:06 AM?\nAnswer: 708","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 102 - 61. Let w = a - 69. Is (w\/(-12) - 2)\/(3\/1719) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -3, 26, -8, 46, -1, 0 in increasing order.\nAnswer: -8, -4, -3, -1, 0, 26, 46","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2164 is divided by 76.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 112540136.\nAnswer: 2, 17, 827501","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-17108)\/(-1170) + 5\/30 + 14\/(-36). Which is bigger: 13 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*u + 15, 7 + 7 = 5*w - 2*u for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) be the third derivative of 0*l - 1\/2*l**3 - 1\/24*l**4 + 0 + 2*l**2. Let r(v) = -5*v**2 + v. Let h be r(1). Give b(h).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/(m*m**(-31)*m)*m)**(1\/5)*(m**(2\/13)\/m)**(2\/31) assuming m is positive.\nAnswer: m**(12383\/2015)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 11560 greater than or equal to 11564?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 287?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.164 + -0.866. Let u = 30.002 + b. Let d = -31 + u. Round d to the nearest integer.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 63 - 83. Let j(x) = x**2 + 16*x - 12. Is j(n) a multiple of 34?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1439 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c = -k - 60068, -2*k - 2*c = 53204 + 66944. Is k\/96*(-20 - 0) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 575137040 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*k = -111 - 4. Let d = -9 - -15. Suppose -2*m - 8 = 4*g + d, 0 = -k*g - 2*m - 18. Put 5, -5, g in decreasing order.\nAnswer: 5, g, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.2199763mg to micrograms.\nAnswer: 219.9763","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -38, 5, 42, 193, -5, 3 in decreasing order.\nAnswer: 193, 42, 5, 3, -5, -38","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 3, o: 1, b: 2, c: 4, t: 2}. Give prob of picking 1 c, 1 l, and 1 o.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -4 - -5d2?\nAnswer: 5ce","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(1088) + sqrt(1088) + (0 + sqrt(1088)*1)**2.\nAnswer: 16*sqrt(17) + 1088","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express (-44 - 24 - 5 - 1 + 4 - 2 + (3 - 5 + 0)*(0 + 4 - 5) - 1 + 1 - 1 + 3 - 4 + 2)*(-3*f + 6*f + 0*f) as n*f + m and give n.\nAnswer: -210","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 879?\nAnswer: 3, 293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 861 and 5943?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 10}. What is prob of sequence ooo?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 32*g - 2 - 28*g)*(-3*g + 5*g**2 + 3*g).\nAnswer: 20*g**3 - 20*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 5905769 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 4.5 + 1.5. Which is the third biggest value? (a) -0.3 (b) 1 (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -209 - -210. Put -1\/4, 5\/3, -0.1, w in ascending order.\nAnswer: -1\/4, -0.1, w, 5\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 21698.\nAnswer: 2, 19, 571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3585*a = -1022*a + 71764 for a.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -33*s + 3. Suppose 0 = -5*k + 4*k - 5. Let m(x) = -16*x + 1. Let q(g) = k*m(g) + 2*a(g). Is q(2) a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ememmeemmm. What is prob of picking 4 e?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 21890420 is divided by 342.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is seven halves of a century in years?\nAnswer: 350","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -6 or -67?\nAnswer: -67","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 938697.\nAnswer: 3, 312899","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 21942.\nAnswer: 2, 3, 23, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y = 3*q + 5, -q + 2*y = 7*y - 25. Suppose 5*b + q*h = 2*h + 1, 0 = -3*b + 3*h + 6. Let a(t) = -3 - 3 + 9*t + 6. Give a(b).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 j and 1 c when four letters picked without replacement from cjhj.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -3*g**2 - 7*g + 2. Let r(d) = d**3 - 3*d**2 - 4. Let o be r(3). Let h(y) = -4*y**2 - 8*y + 2. Let i(f) = o*h(f) + 5*j(f). Is i(5) a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1754*x**6 - 993*x**2.\nAnswer: -210480*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3.7 - 0.7. Let h = v - 3.2. What is the nearest to h in 3, 0.5, 5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 13.4, -1\/4, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = 25*p**2. Let g(x) be the third derivative of 0*x**3 + 0*x - 17*x**2 + 0*x**4 + 2 - 7\/60*x**5. Calculate g(i(c)).\nAnswer: -4375*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 95167 divided by -1613?\nAnswer: -59","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (3\/2)\/((-6)\/16). Let r(g) = 71*g - 23. Let m(v) = -35*v + 11. Let b(h) = 13*m(h) + 6*r(h). Is b(k) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 11 + 15)*(-8069*k - 677*k - 6204*k + 2738*k).\nAnswer: -24424*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*d**3 + 9945*d**2 - 4930200*d - 14880240.\nAnswer: -5*(d - 996)**2*(d + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4\/5 in 5, 2\/19, 4, 0.06?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 40406833 to the power of 1\/2, to the nearest integer?\nAnswer: 6357","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*o - 9*o + 3*o - 8*o to the form m + a*o and give a.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mmmmmmmqqmmmmmq. What is prob of picking 1 m and 1 q?\nAnswer: 12\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6250 is divided by 41?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -9a8aa4 (base 15) to base 8\nAnswer: -34072455","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5 - l**2 - 5 + (l + 0*l - 2*l)*(-4*l + 0*l + 2*l) + 4*l**2 - 4*l**2 + 4*l**2 to j*l + k*l**2 + g and give k.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 5163844, 10327679, 15491514, 20655349?\n\"Answer: 5163835*c + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = f**2 - 3*f + 5. Let u = 4 - 1. Let a be p(u). Calculate the highest common divisor of 25 and a.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -73\/320727 and 101\/1603635?\nAnswer: 1603635","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 304 minutes before 6:19 PM?\nAnswer: 1:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from poptvpppp. Give prob of sequence vv.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 52 and 7?\nAnswer: 364","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -3*r**2. Let w(k) = 15*k. Let p(v) = -2*v. Let m(s) = 27*p(s) + 4*w(s). Calculate m(y(u)).\nAnswer: -18*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/(w\/(w\/w**(-3)*w)))**(-44)\/(w**15*w**(-2\/13)) assuming w is positive.\nAnswer: w**(-3053\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a = 3*u - 40, u + 2*a + 0*a = 28. Let i be 8\/(-3)*(-12)\/u - 2. Let x be 5\/6*18\/(-90). Is i greater than x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*u + u - u)*(2 + 3 - 4)*(-43 + 7*u + 43 + (1 - 1 + 2*u)*(2 + 2 - 6) + u - u - 2*u).\nAnswer: 2*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 692918762 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -9*f - 20. Let h be u(-3). Suppose -48 = -h*s + 15. Solve -5*p - 26 = -5*a + s, 0 = 4*p - a + 16 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -4*f**3 + 36*f**2 - 36. Let m(g) = -33*g + 1 - 13*g - g**2 + 46*g. What is 72*m(j) + 2*w(j)?\nAnswer: -8*j**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -8*f**2*l - 6*f**2*u + 10*f*l + 104*l*u - l + 7 wrt f?\nAnswer: -16*f*l - 12*f*u + 10*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = 13*x + 155. What is m(-11)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand b**2 + b - b + (b**2 - 2 + 2)*(1 + 0 - 2) - b**2 - b**2 + 4*b**2 - 3 - 5*b**2 + 3 + (0 + 4 + 2)*(-b + b + b)*(60*b - 29*b + 33*b).\nAnswer: 381*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*i - i + 4, -3*b + 200 = -4*i. Is 32 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 211*q + 128*q - 61*q - 2502 = 0 for q.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 2, u: 2, v: 4, n: 1, e: 1}. What is prob of sequence vu?\nAnswer: 4\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -10 + -132032?\nAnswer: -132042","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert -14 (base 10) to base 4.\nAnswer: -32","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + 96 = 18. What are the prime factors of l?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8.855912289 rounded to four dps?\nAnswer: -8.8559","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2664 - -2670. Factor -2*n**4 - 20*n**2 + 0 + a*n - 31\/2*n**3.\nAnswer: -n*(n + 2)*(n + 6)*(4*n - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 120 is divided by 14?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = f**3 + 19*f**2 - 20*f + 20. Calculate the smallest common multiple of 24 and y(-20).\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 439 minutes before 2:50 AM?\nAnswer: 7:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 211483036\/137169 + 120\/15241. Let g = q - 1540. Are 2 and g nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = 37*z - 734. Give g(20).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000000969016 rounded to 6 dps?\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 35629?\nAnswer: 11, 41, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 1216, -3, -48, 4 in descending order.\nAnswer: 1216, 4, 3, -3, -48","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y - 18 = -4*o - 3, -3*o = -3*y. Suppose 4 - 15 = y*m + x, 10 = -3*m - 4*x. Which is the third biggest value? (a) m (b) -0.05 (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-2)\/4)\/(3\/(-5466)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 63 + -40. Let b = -11 + h. What is the remainder when 2 - -35 - 9\/(-4 - -7) is divided by b?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*v - 20, 16 = -3*i + 2*i - 4*v. Let y(h) = h**3 - h**2 - h - 1. Let d(n) = 3*n**3 - 4*n**2 - 5*n - 5. Calculate i*y(a) - d(a).\nAnswer: a**3 + a + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 5 - 8. Let k = 0.01 + -0.41. Let l = -0.9 - k. What is the closest to -1\/2 in -1, l, t?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u and 2 m when three letters picked without replacement from uuuduuvumvuumu.\nAnswer: 9\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -8348258, -16696514, -25044770, -33393026, -41741282?\n\"Answer: -8348256*v - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 t and 1 o when three letters picked without replacement from otooooottooottooott?\nAnswer: 84\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in sixty-seven fifths of a litre?\nAnswer: 13400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -k**2 - 9*k - 17. Let x(b) = b**3 - 9*b**2 + 9*b - 13. Let n be x(8). Let v be t(n). Calculate the greatest common factor of v and 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1117613203?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-6)\/24 - (-1 + 1). Let c be (-4)\/(-3) - 2\/(-3). Let h be (1 - (c - 2))\/1. Do h and u have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -138 - 65?\nAnswer: -1a2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = 37*m - 10. Suppose -26 = -5*q + 3*q. Let k be g(q). Suppose 2*w = k + 539. Is w composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) be the first derivative of x**3\/3 - 5*x**2 + 14*x - 2. Let n = -254 + 266. What is the remainder when c(n) is divided by 14?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 202 minutes after 7:41 AM?\nAnswer: 11:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s = -4*s + 2*i - 4, -i + 17 = 4*s. Find the third derivative of 18*n - 49*n + 258*n**s + 10*n + 257*n**2 + 21*n wrt n.\nAnswer: 1548","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 649 and 9322?\nAnswer: 102542","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -33*o**3*w - 2*o**3 - 3*o**2*w + 12*o*w - 3*o wrt o?\nAnswer: -198*w - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is -397.9568 greater than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/2 in -2\/9, -1\/101, -11, -3\/14?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -4 + 17135502?\nAnswer: 171354a9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Total of -504058 and -0.0646947374.\nAnswer: -504058.0646947374","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 773103 to the nearest integer?\nAnswer: 879","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -3*k**2 - 5*k + 52. Let o be a(0). Find the third derivative of 52*c**3 + 24 + 40 - c**2 + 3*c**6 - 43*c**5 - 7 - o*c**3 wrt c.\nAnswer: 360*c**3 - 2580*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2263 = -95*q + 4733 for q.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -579, 2255, 10009, 25143, 50117, 87391, 139425, 208679?\nAnswer: 297613","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) be the first derivative of u**3\/3 + u**2\/2 + 15*u - 1. Is 6 a factor of v(0)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 8\/36*9 - (0 + 0). Suppose 0 = 3*t - w*b + 37 - 108, 81 = 3*t + 3*b. What is the remainder when 94 is divided by t?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 489 + -480. Suppose -r - h = f, 5*r + 2 + 37 = -3*f. Which is the fourth biggest value? (a) 3 (b) -4 (c) -0.08 (d) r\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10033124 (base 6) to base 3.\nAnswer: -112110021221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 7 + -2. Suppose -h*o - 22 = -112. What are the prime factors of o?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -675 + 674.98017. Round x to 3 dps.\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.02 and -8686813.8.\nAnswer: -173736.276","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.047 * 0.23.\nAnswer: 0.01081","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*p**3 - 1613 + 6*p**3 + 1612 - 22*p to b*p + j*p**3 + o*p**2 + l and give b.\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2*(-3)\/4*(-15 + 1). Let j(m) = m**3 - 21*m**2 + 2*m - 43. Let l be j(u). What is the nearest to -1\/14 in 0.04, l, -5?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 118920 divided by 4\nAnswer: 29730","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -9 + 11. Let v(n) = n + r - 12*n**2 + 11*n**2 - 2. Suppose i - 2*k = -0*i + 9, -4*i = 3*k + 19. Let b(d) = -2*d**2 + 4*d. Give i*b(m) + 4*v(m).\nAnswer: -2*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 29 divided by -5\nAnswer: -29\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 405 = -6*u - 855. Let r = 791 + u. What is the units digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -18 - -18.03. Let a = -73.58 - -73.5. What is the biggest value in a, 2, 1\/7, m?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-10)\/7 + 2)\/(20460\/14322).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -i**2 - 2*i + 2*i - 34*i**2 + 24*i**2 - 29*i**2 + (2 - 2 + i)*(0*i + 2*i - i) - 24 + 24 - 8*i**2 to r + n*i**2 + c*i and give n.\nAnswer: -47","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -34341, -33830, -33311, -32784, -32249, -31706?\nAnswer: -31155","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 14\/3*(-5)\/((-35)\/12)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*y - 69 = -69. Factor y - 2\/3*p**4 + 2*p - 2*p**3 + 2\/3*p**2.\nAnswer: -2*p*(p - 1)*(p + 1)*(p + 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = 7*f**2 + 2*f + 7. Let b(t) = 3*t**2 + t + 3. Suppose -2 = j + 5*v, 31 = -j + 4*v + 56. What is j*b(q) - 6*k(q)?\nAnswer: -3*q**2 + q - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 414721 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 211 is divided by 101?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -30*h**2 + 646*h + 7. Let t(q) = 39*q**2 - 864*q - 9. Let d(c) = -9*n(c) - 7*t(c). Factor d(i).\nAnswer: -3*i*(i - 78)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z - 136 = -n - 24, -2*n + 228 = -3*z. Suppose 36 + n = 3*h. Calculate the highest common factor of 80 and h.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 93*h**4 - 519793*h**3*t**3 + 2*h**2*t**2 - 1668*h*t**3 + 6026*h wrt h?\nAnswer: 2232*h - 3118758*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 84311 to the nearest integer?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 694?\nAnswer: 2, 347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) be the second derivative of 7*u**4\/12 - u**3\/2 - 4*u. What is the second derivative of s(k) wrt k?\nAnswer: 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 758121265?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5 + sqrt(68) + 0 - sqrt(68)) + -5*-2*sqrt(68))**2.\nAnswer: 200*sqrt(17) + 6825","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -f**3 + 4*f**2 + f - 4. Let p(w) = -w - 3. Let h be p(10). Let u = h - -17. Give b(u).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -17 + 18. Let s(w) = 34*w**2 - 2*w + 1. Calculate the remainder when 62 is divided by s(f).\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -s**3 + 14*s**2 - 11*s - 17. Let k be g(13). What is the tens digit of (-2)\/(-4)*k*22?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3 * -0.05703.\nAnswer: -0.17109","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1 + 25. Is 9 a factor of 12\/w - (-94)\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-132)\/(-9933)*((-7)\/2)\/1.\nAnswer: -2\/43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6 = 3*s, 2*s - 6*s = -4*u - 4 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -7, -3, 13, 47, 105?\n\"Answer: q**3 - 3*q - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -5\/17469 and -155\/256212.\nAnswer: 768636","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -v**3 + 7*v**2 + 3. Let j be o(7). Let b = -1 + j. Suppose -4*r + 58 = b*w, w - 11 = 4*r + 48. What is the units digit of w?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1\/3 or 0.182?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/5 of a meter in centimeters?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-458)\/272510*-2261)\/(-1*(0 - -1)).\nAnswer: -19\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = 3*h**2 + 2*h + 5. Calculate the remainder when s(-4) is divided by 16.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -3*r + 1. Let d(j) = -8*j + 2. Let s(y) = d(y) - 3*q(y). Let k(v) be the third derivative of -5*v**4\/24 + 3*v**3\/2 + 11*v**2. What is -k(n) - 6*s(n)?\nAnswer: -n - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -15*u - 55. Let h be x(-4). Suppose -3 = h*n - 8. What is the highest common factor of 8 and n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.8, -2\/19, 3126, -3\/5, 2 in decreasing order.\nAnswer: 3126, 2, -2\/19, -3\/5, -0.8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) be the second derivative of r**4\/8 - r**3\/4 - 3*r**2\/2 - 6*r. Factor t(y).\nAnswer: 3*(y - 2)*(y + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 42731267 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-36)\/(-14))\/((-2)\/14). Calculate the common denominator of 35\/16 and 549\/810 - 4\/w.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -6156 - -5?\nAnswer: -6151","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:01 AM and 1:03 PM?\nAnswer: 662","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 39 + 1)*(-3 + 2 - 6)*(3 - 2 + 1)*(-2*x + 6*x - 2*x).\nAnswer: -1176*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 3*(1 + (-110)\/132). What is m in -1\/2 + 5\/4*m - 5\/4*m**3 + o*m**2 = 0?\nAnswer: -1, 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 4785*p**2 + p**3 - 11*p - 4787*p**2 + 5 - 3 + 0 - 1 in the form f + i*p**2 + j*p**3 + v*p and give i.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (1*sqrt(9)\/sqrt(3)*5 - ((0 + sqrt(3)*-1)**2 - (-4 + 1*sqrt(3)))).\nAnswer: -9 + 6*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 183, 1819, 3455, 5091, 6727?\n\"Answer: 1636*n - 1453","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-360)\/42 + 9 - (-2)\/(-70).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 76727?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 141592*h*u**4 - 13*h*u - 35704*u - 2 wrt u.\nAnswer: 1699104*h*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -464 - -459.42. Let z = w + 4.2. Let q = z - -0.096. Round q to 2 dps.\nAnswer: -0.28","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1648? (a) 0.5 (b) 1 (c) -72\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -164902, -659620, -1484148, -2638486, -4122634, -5936592?\nAnswer: -8080360","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 2, l: 11}. Give prob of sequence lf.\nAnswer: 11\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1507 to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -10729 + 10731. Let w(y) be the first derivative of 4\/85*y**5 + 0*y + 0*y**3 - 1\/17*y**f + 26 + 3\/34*y**4. Factor w(x).\nAnswer: 2*x*(x + 1)**2*(2*x - 1)\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -17626 plus 1?\nAnswer: -17625","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 35000 and 280.\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -69 times -7?\nAnswer: 483","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 34 - -54. Let t = n - -9. Let j = t - 94.3. What is j rounded to zero decimal places?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 288191 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 43061, 86115, 129169, 172223, 215277, 258331?\nAnswer: 301385","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -41*u + 10. Let l(d) = d**2 + 4*d - 7. Let q be l(-6). Let m be 36\/(-4) + -2 + q. Let o be i(m). What is o rounded to the nearest 10?\nAnswer: 260","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*w**2\/7 - 2600*w\/7 + 845000\/7 = 0. What is w?\nAnswer: 650","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -55*p - 188. Give c(-3).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3708\/17 + -218. Let q = -46 + 18. Let y = q + 28.3. What is the closest to y in -0.4, h, -2?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(-4 + (sqrt(252)\/(sqrt(16) + sqrt(4)))\/(-1*sqrt(900)) + -4 + -3 + -2).\nAnswer: sqrt(7)\/30 + 13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -365*b = -474*b + 2071 for b.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2, -27, 4\/7?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -328.399 - -328. Let t = -0.02 + 0.42. Let p = t + s. What is p rounded to 2 dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h**(11\/2)*h**(-17\/3) assuming h is positive.\nAnswer: h**(-1\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*w + 1 - 6 + 7)*((-13 + 16 - 12)*(-2*w + w + 4*w) + (3 - 2 + 0)*(w - w + w) + 6*w - 3*w - w - 2*w - 2*w + 2*w + 2).\nAnswer: 78*w**2 - 58*w + 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3996\/5 - 796. Let h be (-2)\/4*2*0. Let -4\/5*s**2 + h + n*s**4 - 2\/5*s**3 + 0*s - 2*s**5 = 0. Calculate s.\nAnswer: -2\/5, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -1327*g**3 + 4*g + 39. Let h(q) = 663*q**3 - 3*q - 19. Let m(w) = -2*a(w) - 5*h(w). Is m(-5) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*a**3 + 4*a**4 - 10*a - 229 + 48*a**2 - 23*a**2 - 14*a**2 - 6*a**4 - 10*a**2 as t*a**2 + c*a**4 + j + w*a + k*a**3 and give k.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2\/1947 - -3920\/25311. What is j in 0 - 6\/13*j**3 + z*j**4 + 0*j**2 + 0*j = 0?\nAnswer: 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -8\/7*r**3 - 2\/7 - 2\/7*r**4 - 8\/7*r - 12\/7*r**2.\nAnswer: -2*(r + 1)**4\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = 12*k**2 - k + 1. Let m be u(1). Suppose 3*a = m*a + 9. Does 14 divide a + -150*(-4)\/8 + -4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 474\/252 + (-36)\/168 - (-1 - -3). Which is greater: g or -1\/25?\nAnswer: -1\/25","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -37411728824 - -0.9?\nAnswer: -37411728823.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -70, -310, -716, -1288, -2026, -2930?\nAnswer: -4000","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.6 and -331203.\nAnswer: -331202.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -420 + 298. Let h(m) = 4*m**2 + 283*m - 235. Let g be h(-72). Let u = v + g. Solve 0 = -3*t - 2*q - 14, -2*t = u*t + 5*q + 25 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-38 + 30 - 54)*(0*o + o + 0*o).\nAnswer: -62*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2252 (b) -2\/7 (c) -95\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = 149*a - 439. What is k(3)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 945 and 131193405?\nAnswer: 945","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29 = 5*x + 4*o, 3*x - 3*o - o = -43. Let d(t) = 2*t**2 + 11*t - 22. Is 6 a factor of d(x)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -2*z - 4. Let a(d) = 6*d + 11. Let m(q) = -4*a(q) - 11*o(q). Let u(i) = 6*i. Give m(u(f)).\nAnswer: -12*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from llmdhdc. What is prob of sequence dhc?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 - w**3 - 4*w**2 - 25*w - 26*w + 48*w in the form d*w + f + q*w**3 + s*w**2 and give d.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -35, -286, -959, -2264, -4411, -7610?\nAnswer: -12071","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (11*k**2 - k**2 + 9*k**2)*(-18 + 9*k + 64 - 46).\nAnswer: 171*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*a + 208 = -4*a - 5*j, 4*j - 358 = -3*a. Let t be (8\/76 + (-164)\/a)*-12. Solve 0 = -5*l + 2*l - 2*b - t, 0 = l + b + 7 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Is 4148546557 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 27010970 or 27010966?\nAnswer: 27010966","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) be the third derivative of -20*y**2 - 1\/120*y**6 - 1\/6*y**4 - 2\/15*y**5 + 3\/2*y**3 + 0*y + 0. Calculate r(-7).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 3\/13 - 294327\/3861. Is u less than -62?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/(2\/(-12)*8).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hhthhtthbbth. Give prob of sequence hthb.\nAnswer: 2\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 3\/(6\/((96\/3)\/4))\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*k + 614 - 590. Solve p = 6*a - 3*a - 10, 0 = k*p - 8 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19 = -3*c - 2*y, -304*c - 7 = -302*c + y. Determine m so that -2\/3*m**4 + 0*m**2 - 4\/3*m**3 + 0*m + 0 + 2\/3*m**c = 0.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 368 = 2*j + 366. Sort -386, j, 0 in descending order.\nAnswer: j, 0, -386","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 42*f = 23*f + 8626. Is 456 not equal to f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 - (3 - -3) - -11.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = 16*m**2 - 40*m**2 + 16*m**2. Let w(x) = -46*x. Give w(v(y)).\nAnswer: 368*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert -41615472 (base 8) to base 10.\nAnswer: -8854330","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 3.6 (b) -0.4 (c) -0.11 (d) -5 (e) 2.7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2901269.7 days to weeks.\nAnswer: 414467.1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-47)\/2 - (21 + (-6838)\/338)\/((-8)\/104).\nAnswer: -27\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1300215070 a multiple of 322?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -7484 - 57?\nAnswer: -7552","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -41*d = -46*d + 40. Let m(g) = -g + 14. Determine m(d).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 44*h + 183 = 271. Solve 5*i = 3*d - h*d + 9, 5*i + d = 11 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 12465064 and 1039.\nAnswer: 12466103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 196239 is divided by 20?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 27111328?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x + 4*b = 27, -11*x = -15*x + 5*b - 3. Suppose -4*d + 2*v = -2*v - 36, x*v - 53 = -5*d. Calculate the greatest common divisor of 110 and d.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1581647 take away -315.913?\nAnswer: 1581962.913","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 16515476\/884757 - 4\/294919. Factor 68\/3*n**2 + m*n + 4\/3*n**3 - 128\/3.\nAnswer: 4*(n - 1)*(n + 2)*(n + 16)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a and 2 f when three letters picked without replacement from nnnnnaonnffnnnonfnaa?\nAnswer: 3\/380","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (-18)\/(-135) + -20 + 1515\/75\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*z + 69857582 - 8177582 = 0. Round z to the nearest one million.\nAnswer: 8000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*p + 4*p - 96. Let f = p + -29. Let u = f - 19. Solve 3*t - 4 - 2 = u for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*v - 13 = 7 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -b**3 - 5*b**2 - 4*b + 5. Suppose q = -1 - 3. Let i be t(q). Suppose -x - 2 - 4 = 4*h, i*x - 45 = 5*h. What is the units digit of x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from tjitjttfffjfifiujj. What is prob of picking 1 t and 2 i?\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m - 5*j - 32 = 0, 3*j = -0*j - 12. Suppose m*v = -0*v + 44. Solve -a + 4*r = -6*a + v, a - 7 = 4*r for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -6961 + 6974. Let i = 61 + -22. Suppose l = 4*l - i. Is l >= g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -5632 < -3990?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -14 + (11 - 16) - 11 - -3?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2\/17*a**4 + 0*a + 0 - 208\/17*a**3 - 206\/17*a**2.\nAnswer: -2*a**2*(a + 1)*(a + 103)\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -b7216 - 3?\nAnswer: -b7219","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16*u**2 + 42 + 18 + 14*u**2 + 90 - 4*u**2.\nAnswer: 26*u**2 + 150","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*d - 0 + 2 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -66, 4, -120 in descending order.\nAnswer: 4, -66, -120","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -48*v**2 - 5*v + 3. Let c be u(-3). What is the common denominator of ((-2)\/(-6))\/(c\/513) and (-9)\/(-12)*-5 - (33 + -39)?\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.44 + -1.1. Let h = -0.547 - i. What is h rounded to two decimal places?\nAnswer: 0.11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*s - 5*o - 1098, 0 = 5*o + 5 + 10. Does 19 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nwwxxxxxnwxx. Give prob of sequence nn.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: ((-22770)\/5175)\/((-4)\/(-10))\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let -28*w**2 + 1140*w + 328 = 0. What is w?\nAnswer: -2\/7, 41","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (0\/55*(-4)\/(-20))\/(2\/1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 + 0 - (-7 + 3 - 1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 5.6 - 6. Let t = -204 - -1838\/9. Sort 0.4, z, t in descending order.\nAnswer: 0.4, t, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find r, given that 7334*r**4 + 158424*r**3 - 64136*r**2 + 4224*r = 0.\nAnswer: -22, 0, 16\/193, 6\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3.23 + 3.23000325. What is t rounded to 7 dps?\nAnswer: 0.0000033","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 18531654 to the nearest integer?\nAnswer: 4305","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 536681 to the power of 1\/5, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -61*v**2 - 58*v**2 + 257*v**2 - 4*v + 1272 - 64*v**2 - 75*v**2 to s*v + g + m*v**2 and give g.\nAnswer: 1272","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*w - 5*w + 33. Suppose -u + 371 = 2*v, -w*v + 29 = 5*u - 517. What are the prime factors of v?\nAnswer: 11, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 5 (b) 1\/3 (c) -2 (d) -14 (e) -3338 (f) -1\/8 (g) -0.3\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*l = 31*y - 115 - 19, 0 = 3*y - 12 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f - 76 = -f. Is f prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 4082117 and 26?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 760\/39 + -262\/13. What is the second smallest value in -2, x, 4, -0.3?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -b**3 + 4*b**2 + 2*b - 4. Let y be ((-48)\/30)\/((-4)\/10). Suppose y*h - 9 - 7 = 0. Determine m(h).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = 12*w - 19. Let n(m) = 10*m - 19. Let z(q) = -4*n(q) + 3*o(q). Let a(x) = 2*x - 9. Determine -13*a(p) - 6*z(p).\nAnswer: -2*p + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ebu when three letters picked without replacement from eeueuububeu.\nAnswer: 4\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 112 = h + 27*h for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = 334*x**3 + 10*x**2 - 6*x - 1. Let u(h) = -333*h**3 - 10*h**2 + 5*h + 1. Let d(l) = 5*a(l) + 6*u(l). Find the third derivative of d(n) wrt n.\nAnswer: -1968","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2843292 a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00032575875 rounded to four dps?\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(80) + (sqrt(500) + sqrt(500)*-1)**2 + 3 + 0 + (sqrt(720) + 2)*1.\nAnswer: 5 + 16*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.4 in 2\/3, 1, 4?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -s + 10. Let d be v(0). Suppose -d*p + p = -90. Suppose -r = -2*r - 2*y - p, 0 = -2*r - 2*y - 10. Solve r*z + 2 = -z for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1 + -2. Let p be (4*(8 + -2)\/(-42))\/((-8)\/(-28)). What is the nearest to h in -0.2, p, 0?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 218673.82 rounded to the nearest ten thousand?\nAnswer: 220000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 210200747 is divided by 2763.\nAnswer: 2759","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -6*s + 4. Let d = -6152 - -6156. Let w(b) = 5*b - 5. Determine d*x(n) + 3*w(n).\nAnswer: -9*n + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/66 > 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 + -1 - -10) + (24 - 51 - 2)?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -11, -24, -19, 10, 69, 164?\nAnswer: 301","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.5*14443410.\nAnswer: 7221705","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ww when two letters picked without replacement from {d: 2, w: 2, o: 1, a: 1, h: 1, x: 1}?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 184216769 and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-18)\/(-4) - 18\/36. Suppose 3*h = -v*o + 423 + 126, -3*o + 417 = -3*h. Calculate the greatest common factor of o and 23.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -25 in 0.5, -1, -2\/5, 0.032?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = 18*p**3 - 485*p**2 + 30*p - 3. Calculate the remainder when q(27) is divided by 765.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**(2\/23)\/(y\/(y*y**(-9)))*(y**(-2))**(-11) assuming y is positive.\nAnswer: y**(301\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 2, -23 in descending order.\nAnswer: 2, -2, -23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 170 minutes after 1:05 AM?\nAnswer: 3:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (0 + 1 + 5\/(-10)*1)*-10. Let l(h) = h**3 + h + 1. Let d(a) = 7*a**3 - 19*a**2 + 5*a + 5. Give x*l(z) + d(z).\nAnswer: 2*z**3 - 19*z**2","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b + 485 = 5*s, 2*s - s = 1. Suppose 0*m = -5*m + 50. Calculate the greatest common divisor of m and b.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(2)*-4 + -4 + -2.\nAnswer: -6 - 4*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a and 1 j when two letters picked without replacement from {c: 2, j: 10, a: 1, z: 6, o: 1}.\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 81764086?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 7764 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 2, z: 6, x: 4}. What is prob of picking 1 m and 2 x?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 632*p**4 + 21*p - 29.\nAnswer: 7584*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -5\/4, 2\/13, 2\/31, 2110?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3 - -11. Calculate the lowest common multiple of (-64)\/(-34) - (-76)\/646 and y.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 388*m + 389*m - 780*m.\nAnswer: -3*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o = -3*o + 12. Solve o*f + 12 = -0*f for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of a**6 + a**5 - 3*a**4 + 16*a**3 + 1742841*a**2?\nAnswer: 120*a**3 + 60*a**2 - 72*a + 96","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -180c8c8 (base 13) in base 10?\nAnswer: -7825033","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -10444163 - 1?\nAnswer: -10444164","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -22*o - 16. What is the units digit of f(-4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 46176 divided by 48?\nAnswer: 962","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve n + 5*w - 3 = 0, 0 = -4*n - 6*w - 16 + 14 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 0 + (-3)\/6*0. Suppose v = -12*i - 12 - 24. Suppose y - 1 = -4*g, 3*y - 3*g - 3 = -15. Are i and y unequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 30047626 and 43946.\nAnswer: 602","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -72*m**3 + 210*m**3 + 219*m**3.\nAnswer: 357*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) be the first derivative of -1156*w**3 + 1360*w**2 - 1600*w\/3 - 1060. Let b(v) = 0. Calculate v.\nAnswer: 20\/51","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 317 and 19783.36?\nAnswer: 19466.36","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide 223441711 by 9714857.\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.1, 0.021, 0, 2\/5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 13 + 2376?\nAnswer: 2411","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bh when two letters picked without replacement from {b: 1, h: 2}?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 67 + -38. What is the derivative of -h + 5*k**3 + 9*k**3 + 26*k**3 - 25*k**3 wrt k?\nAnswer: 45*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:30 PM and 10:54 PM?\nAnswer: 444","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*i - i + 783 - i + 2*i - 941.\nAnswer: -8*i - 158","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3438 - -3598. Which is greater: d or 158?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -50*g - 49*g - 16*g - 46*g. Is u(-1) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1294 - 6528\/5. Is -11 at most y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -64.6 + 65. Let m be -1*(-1 + 0) + -2. Sort -5, u, m in ascending order.\nAnswer: -5, m, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -i**2 - 3*i + 2. Let g be o(-3). Let l = -2 + -9. Let s = -11 - l. Solve 0 = -s*m - g*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (280\/7)\/8 + -1 + 0. Let y be 1*((3 - 2) + 19). Solve -b*h + 0*h + y = 0 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 13*l - 306 - 1644. Calculate the lowest common multiple of 165 and l.\nAnswer: 1650","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-159)\/(-51) + (144\/(-68) - -2). Suppose 5*u - o*u - 7*u = 0. Solve -4*s + 2*s = u for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 514271 >= 16?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = 2094*g**2 + 8*g - 252. Let o(h) = 299*h**2 + h - 35. Give 22*o(y) - 3*s(y).\nAnswer: 296*y**2 - 2*y - 14","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 40, 51, 70, 97, 132?\nAnswer: 175","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -823 + 251 = -11*u. Let y(m) = m**3 + 7*m**2 + 5*m + 3. What is the remainder when u is divided by y(-5)?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 903177?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2483 and 546.\nAnswer: 104286","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qxtxdkw. Give prob of sequence kk.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.8524 or 0.3?\nAnswer: -0.8524","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4138 + 80*z + 4138)*(30 - 5 + 7) + (-z + 3 - 3)*(3 + 1 - 6) + 4 - 4 - 2*z + 3 - 3 - z + (-1 - 1 + 0)*(-2 + 2 + 2*z).\nAnswer: 2555*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 552 minutes before 12:19 AM?\nAnswer: 3:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -56*d + 28*d + 26*d.\nAnswer: -2*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g = -2*g. Let b = 2\/5 - g. Let p = 908 - 920. Which is bigger: b or p?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -474 + 504. Is 27 > f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from aunxxoow. Give prob of picking 1 n and 1 w.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 44*w - 41*w - d + 1, -5*w = d + 7 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -6709672645984 + -2\nAnswer: -6709672645986","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Work out -388 * -0.05.\nAnswer: 19.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*t, 5*j - 2*t + t = -15015. Let m = -12083\/4 - j. Which is smaller: m or -17?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -5*b**2 - 10*b + 669. Let a(d) = d**2 + 2*d - 134. What is -11*a(x) - 2*t(x)?\nAnswer: -x**2 - 2*x + 136","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-91)\/(-42))\/(-13)*-8.\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kwm when three letters picked without replacement from kzmzzgzagmzkzzzkw?\nAnswer: 1\/680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0\/(11\/66*-6).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 266143476?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -425, -1771, -4013, -7151, -11185, -16115, -21941?\nAnswer: -28663","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*x - 5 + 5)*(1 + 2 - 5)*(97 + 24 + 4) to the form s*x + b and give s.\nAnswer: -500","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide -88782 by -6.\nAnswer: 14797","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2649, 2650, 2645, 2628, 2593, 2534, 2445?\nAnswer: 2320","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = -3*a - 5*a - 16. Let o(t) = 43*t. Let h(w) = 130*w. What is a*h(m) + 8*o(m)?\nAnswer: -46*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 121013141 (base 5) in base 9?\nAnswer: 1048032","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/8 in 2\/11, -5, 1\/9?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 = -5*y - 3*z, 34 = 4*y - 2*z + 2. Suppose -n + 5*b = -39, 0 = -y*b + 2*b - 12. Calculate the least common multiple of n and (288\/192)\/((-3)\/(-20)).\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 1, u: 2, k: 2, w: 2, a: 1, c: 4}. Give prob of picking 1 w, 1 a, and 1 n.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**1*y**(-11)*y*y)\/(y**2)**(-7\/6) assuming y is positive.\nAnswer: y**(-17\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**7*q**(-5)\/q*(q**(-1)\/q)**(-27)*(((q*q**10*q)\/q)\/q**10)**(-36\/11) assuming q is positive.\nAnswer: q**(569\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of 11159106?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(14) - (sqrt(1134) - sqrt(1134)*1 - sqrt(14)))\/(-3*2*sqrt(7)) + 5.\nAnswer: -sqrt(2)\/3 + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 22 + -22.5. What is the nearest to -0.3 in 2\/17, o, 1\/2?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 67 is divided by 8?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 125 and 15?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/4, 23\/4, -1\/5, -0.1, 0, 0.4 in decreasing order.\nAnswer: 23\/4, 0.4, 1\/4, 0, -0.1, -1\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -n**2. Let j(d) = -67*d + 2 - 13*d - 2 - 314*d. Give m(j(p)).\nAnswer: -155236*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 472, 950, 1428, 1906, 2384, 2862?\nAnswer: 3340","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (125 - 88) + (-3 + (-4 - -2) - -1)?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 21, 1, -45, -129, -263, -459, -729?\n\"Answer: -2*l**3 - l**2 - 3*l + 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 212, 0, 3 in descending order.\nAnswer: 212, 3, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t - 19099 + 3463 = 0. Suppose 8 = 2*c, -4*c = 4*g + g + 121074. Let v = t - g. Round v to the nearest 1000.\nAnswer: 16000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 15000 and 24?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 11308 - -38712. Round x to the nearest 1000.\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) be the second derivative of -z**4\/4 - 5*z**3\/6 - 9*z**2\/2 + 7*z. Let k(q) be the first derivative of r(q). Differentiate k(w) with respect to w.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1872 and 2496?\nAnswer: 7488","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -197919372*l**4 + 3*l - 7199410.\nAnswer: -2375032464*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (510\/(-85))\/((-3)\/(-2))\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 9716?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) be the first derivative of r**6\/90 + r**5\/30 - r**4\/12 + 5*r + 10. Let t(h) be the first derivative of c(h). Let t(a) = 0. What is a?\nAnswer: -3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 317 minutes before 1:05 AM?\nAnswer: 7:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2142\/(-4641) - (3 + 3396\/78).\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(35) - sqrt(140))\/sqrt(5) + -2)*-5 + 4.\nAnswer: 5*sqrt(7) + 14","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 2\/15 of a day?\nAnswer: 11520","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 864?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -9 - -12. Suppose -l - 112 = r*l. Let f = 51 + l. List the prime factors of f.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000534686 rounded to three decimal places?\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-2)\/6*0)\/(-1). Suppose 0*i - 4*i - k + 70 = y, -44 = -2*i + 4*k. Calculate the greatest common divisor of i and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/9 of a day in seconds?\nAnswer: 9600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 5\/(-3) - (-6)\/(-18) - -2. Suppose -4*c - 2*w - 1114 = d, 2*w = 6*w + 4. Round c to the nearest ten.\nAnswer: -280","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -235, -4, -139, -0.1 in increasing order.\nAnswer: -235, -139, -4, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -k**2 - 7*k + 6. What is r(1)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 522 and 232?\nAnswer: 2088","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -1830000 to the nearest one hundred thousand.\nAnswer: -1800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Work out -16624304201 - 0.06.\nAnswer: -16624304201.06","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 111\/246920 and -53\/11440.\nAnswer: 70619120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express -38*u**3 + 3*u - 2197*u**4 + 5 + 2*u**2 + 2198*u**4 + 41*u**3 as b*u**2 + q*u**3 + x + o*u + s*u**4 and give s.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*k + 28*k = 7840. What is the common denominator of (-7*(-8)\/k)\/((-12)\/(-254)) and -137\/144?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -61165762, -122331511, -183497260?\nAnswer: -244663009","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*j**3*r**3 + 102*j**3 + 2*j**2*r**3 - 1189*j*r**2 - 776169*r**3 + 7*r wrt r.\nAnswer: 12*j**3 + 12*j**2 - 4657014","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 15 - 13. Let n(x) = -5*x - 3*x**p + 23*x**2 + x**2 + 3. Is n(4) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = y**3 - 11*y**2 + 13*y - 28. Give n(10).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 49622, 65771, 81920, 98069?\nAnswer: 114218","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9 = 7*o + 4035*w - 4031*w, -w = -3*o + 12 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1 + -1. Let t = -172 + 172.4. Which is the third biggest value? (a) d (b) 0.02 (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -1292, -2285, -3254, -4187, -5072, -5897, -6650, -7319?\n\"Answer: 2*f**3 - 1007*f - 287","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 122\/5? (a) -1\/4 (b) -0.1 (c) -0.84 (d) 3\/8 (e) 0.4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 42.98 and 0.03225.\nAnswer: 1.386105","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -10378.052705 - -10378. Let o = y - -0.0534. What is o rounded to 4 dps?\nAnswer: 0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7700 is divided by 69?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 6 and 7316?\nAnswer: 21948","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o*o**(-1\/2)*o*o*o**17)\/(o*o*o**(-12\/5)*o*o**19\/o) assuming o is positive.\nAnswer: o**(9\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -19167 - -20985. Calculate the remainder when s is divided by 226.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -3 - 9*s + s + 9*s**2 - 1 - 2*s. Let p(f) = -14*f**2 + 15*f + 6. Let i(n) = -5*p(n) - 8*x(n). What is i(4)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1462.\nAnswer: 2, 17, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 8 + -1a7?\nAnswer: -19b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + 6341 = 2*u + o, 5*o - 25 = 0. Let t be 24676\/u - (-1)\/(-6). Let b = 3\/176 - t. Find the common denominator of -61\/10 and b.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -1*3 + (-176)\/(-55). Let b = 2258.5 + -2258. What is the second smallest value in 6, r, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = 94*k**3 - 3*k**2 - 2. Let s be b(3). Let x = s - 1470. What is the units digit of x?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -281000236 divided by 4.\nAnswer: -70250059","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + sqrt(5))*-4*-1 + -1 + ((-1*sqrt(980) - sqrt(980))\/(3*sqrt(4)*1))**2.\nAnswer: 4*sqrt(5) + 971\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -103 (base 5) to base 3\nAnswer: -1001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g and 1 w when two letters picked without replacement from wgwgwwwkkgk?\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = 19*h**2 + 177*h - 5603. List the prime factors of c(59).\nAnswer: 70979","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 57 + 39. Let c be 4\/(-10) - (5 - (-3492)\/(-30)). Suppose -2*a + 0*a - 6 = 0, -c = -4*v + 5*a. Calculate the greatest common divisor of v and z.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -91*z + 1. What is the hundreds digit of q(-2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 260438*m**4 + 147*m**3 - 4341*m**2 + 2*m + 5546?\nAnswer: 6250512*m + 882","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -q**2 + 16*q + 2. Determine x(16).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -12\/1111297 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = 506*b + 5. Let g(c) = 509*c + 6. What is -5*g(w) + 6*m(w)?\nAnswer: 491*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 1bb30 - 0?\nAnswer: 1bb30","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 252 minutes before 10:54 AM?\nAnswer: 6:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = q**3 + q + 42. Let f be r(0). Let n = f + -37. Solve -n*o = -o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 14 - 10. Find the common denominator of (12 - -19)*((-8)\/(-6) - 1) and (-54)\/35 - u\/(-10).\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -8 + 2*r + 668*r**2 + 3 - 663*r**2 + (-4*r + 4*r + 2*r)*(r - 2*r - r) + 0*r**2 - 5*r**2 + 3*r**2.\nAnswer: -r**2 + 2*r - 5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -313 + 465. Let z = 458\/3 - f. Factor -z*c**2 + 4\/3*c**3 + 0 - 4\/3*c + 2\/3*c**4.\nAnswer: 2*c*(c - 1)*(c + 1)*(c + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*u - 3 = 5*u for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 287, 577, 867?\nAnswer: 1157","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-360)\/(-54)*9\/5. Solve 2*g = 2*o + 14, -g = -4*g + z for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 44 + -24. Suppose 4*j + f = 3*i, 2*i - j - j - 12 = 0. Is 3 less than or equal to i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-1)\/2*(-6 + 8) + 184. Let l = -92 + o. Is l a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2 and 3094.\nAnswer: 3094","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1.6 - 2. Let y = 0.7 - -0.3. What is the second smallest value in y, j, -4?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -b**2 + b - 1. Let v(t) = t**3 + 7*t**2 + t + 6. Let o be v(-7). Let l be 3\/o + -4 + 7. What is f(l)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 468 and 7184476.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 2511572 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: Rearrange 0*c**3 + c - 6*c**3 + 0 - 2*c**3 + 7*c**3 + 6*c**2 - 18 - 2*c**4 to v*c**4 + u*c + w*c**3 + t*c**2 + i and give w.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1914?\nAnswer: 2, 3, 11, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) be the first derivative of -46*z**6\/3 - 79*z**3\/3 - 24. Find the third derivative of a(l) wrt l.\nAnswer: -5520*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is q in 3*q**3 - 159519*q**2 + 2044319640*q + 2043947296272 = 0?\nAnswer: -931, 27052","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:24 AM and 8:58 AM?\nAnswer: 514","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 55\/(-7 + 2) - 1120\/(-15)*60\/40?\nAnswer: 101","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*l**3 - 16291*l**2 + 16291*l**2.\nAnswer: -2*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 158 is divided by 16?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v - 2*j = 2*j + 42, v = j + 9. What is the remainder when v is divided by (1 + -5)\/(-2 - (9 - 9))?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2008 and 13888?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-9 + 7)\/(7\/(-14)). Solve 4 + 24 = -y - 5*n, -j*y - n = 17 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -30087, -30087, -30079, -30057, -30015?\nAnswer: -29947","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3*f**3 - 92*f**2 + 91*f - 25*f**2 - 7*f**2 wrt f?\nAnswer: -18*f - 248","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -101010101001111100000110 + -100?\nAnswer: -101010101001111100001010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -5*i**2 + 21*i - 32. Let j(x) = -4*x**2 + 24*x - 31. What is -6*j(l) + 7*w(l)?\nAnswer: -11*l**2 + 3*l - 38","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 262601718 to the nearest integer?\nAnswer: 640","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.0156, 4, -1\/12, -1\/4, -1\/5?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -64\/63 - -4\/7. Let x = 0.67 - 0.6. Let y = x + -3.07. What is the second biggest value in y, -4, c?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -654 or -658?\nAnswer: -658","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/(-6)*1872\/104?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1379 a factor of 74803003?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-12)\/8*(-264)\/(-36)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 12 + -56?\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -180 and 1?\nAnswer: -180","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 2, d: 10, b: 6}. What is prob of picking 2 d and 2 b?\nAnswer: 15\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2.1 + -1.1. Let d = 2.6 + -1.1. Let g = -1.1 + d. Which is the smallest value? (a) g (b) 0.2 (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pet when three letters picked without replacement from tettttteeepet.\nAnswer: 35\/1716","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -51*g. Let c(z) = -z - 19830. What is c(a(o))?\nAnswer: 51*o - 19830","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -v. Let x(j) = j. Let z = -61 + 65. What is z*x(n) + d(n)?\nAnswer: 3*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -558824700 rounded to the nearest one million?\nAnswer: -559000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:01 PM and 6:16 PM?\nAnswer: 135","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 354 and 295?\nAnswer: 1770","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -t**3 + 46 - t + 14 + 2*t**3. Let a be r(0). Suppose -3*m - 2*m = -50. Calculate the greatest common divisor of a and m.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3267.628 minutes to seconds.\nAnswer: 196057.68","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -139\/103332 and -109\/1106.\nAnswer: 723324","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2283246 and 104769?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = 14*p - 4*p**2 - 22*p + 20 + 5*p**2. Let t be y(6). Solve -4*m = 2*g + 2, 3*m - 5 = t*m for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**(-5)*q*q*q*q\/(q\/q**(2\/27))*q*q\/(q**7*q)*q*q**(1\/12)*q assuming q is positive.\nAnswer: q**(-631\/108)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.5 - -14?\nAnswer: 10.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(52)\/sqrt(4)*-2)**2 + ((-2*sqrt(13) - sqrt(13)) + -5)**2.\nAnswer: 30*sqrt(13) + 194","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or 12\/527?\nAnswer: 12\/527","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 29983382 to the power of 1\/7, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = 462*i. Let s(j) = 21*j + 2079. What is s(x(l))?\nAnswer: 9702*l + 2079","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2.93 - -0.07. Let m = -7.2 - -2.2. Sort h, 1, m in decreasing order.\nAnswer: h, 1, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30 = 6*z + 5 - 17, -3*a = -5*z - 9 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 11*b - 10*b + 10*z + 42, -3*b + 14 = -5*z for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b - 13*j + 2 = -14*j, -5*b - 3*j = 6. Suppose 2*p + b*p - 3*f = -1440012, 5*p + 3*f + 3599988 = 0. Round p to the nearest 100000.\nAnswer: -700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (sqrt(30)*2*5 + sqrt(30)*-1*-6)\/(((sqrt(432) + sqrt(432)*2)\/sqrt(12))\/(-2*sqrt(150))).\nAnswer: -160*sqrt(5)\/3 + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 103354 + -60306. What is the tens digit of r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 114761 is divided by 1688.\nAnswer: 1665","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 19.21 - 19.51. Let a = -2.15 - 0.85. What is the nearest to 0.3 in a, l, 3\/7?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 7, l: 10, r: 1}. What is prob of picking 1 e and 1 r?\nAnswer: 7\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*u - 24835*u**2 + 24854*u**2 + 2*u - 4*u.\nAnswer: 19*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 2122644, 4245281, 6367918, 8490555, 10613192, 12735829?\n\"Answer: 2122637*o + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 448*y - 4840 = 468*y. Which is greater: -196 or y?\nAnswer: -196","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:06 PM and 5:33 AM?\nAnswer: 387","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 26 - 91. Let s = 67 + f. Solve -2*l = z - 0*l - s, z - 2*l - 2 = 0 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or -47\/1120768?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-168)\/(-32))\/(87\/(-232))?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-4)\/6)\/2)\/(205\/(-123))?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -5*b + 130. Let s be f(0). Suppose -s = -5*o + 365. Is 33 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 654?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**(-2\/103)\/q**(9\/5))\/(q**(-2)\/q*q)**47)**15 assuming q is positive.\nAnswer: q**(142419\/103)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is x in -x**2\/3 - 348053*x + 2088330 = 0?\nAnswer: -1044165, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) be the first derivative of -407*s**4\/4 + 53*s**2 + 2*s + 1014. What is the second derivative of t(i) wrt i?\nAnswer: -2442*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:13 PM and 9:10 AM?\nAnswer: 597","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}