diff --git "a/data/dm_maths/full_data_1/1936_11255.jsonl" "b/data/dm_maths/full_data_1/1936_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data_1/1936_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Determine b so that 128\/3 + 178\/9*b**3 - 890\/9*b**2 - 32\/9*b + 58*b**4 - 18*b**5 = 0.\nAnswer: -8\/9, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -s**3 + 46*s**2 - 89*s + 42. Let t be y(44). Which is the closest to t? (a) -1\/4 (b) -1\/5 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1.82 + -94.18. Let k = 94.7 + g. Let d = k + 1.30021. Round d to three decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -25456 (base 10) to base 6.\nAnswer: -313504","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 53 - (1 + -8 + 31).\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from aaeieae. Give prob of picking 1 a and 1 e.\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 8 + (-35)\/10*2. What is the second derivative of 5*l + 11*l + r - 2 - l - 84*l**3 + 248*l**3 wrt l?\nAnswer: 984*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2161263 (base 7) to base 10\nAnswer: -266997","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (8\/(-30)*-6)\/(12\/390*-13)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c = 4*t - 25 - 5, 2*t - 6 = 0. What is the lowest common multiple of 8 and c?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-h - 2*h + 0*h + (4*h - 4*h + h)*(-2 - 5 + 3))*(-9*h - 4*h + 4*h).\nAnswer: 63*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + 2 + -599 + 570?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -g - 1. Suppose 0 = -2*a - 0 + 6. Let y(q) = -4*q + 2. Suppose t + 4 = -1, 0 = -5*l - 4*t - 25. Let w(d) = a*s(d) + l*y(d). Give w(5).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s = -d + 16986, 7*d + 33981 = 2*s + 6*d. Differentiate 2*z**2 - 16989*z - 10*z**3 + s*z - 120 wrt z.\nAnswer: -30*z**2 + 4*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1734 a factor of 1465256010?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*o**3 - 9*o + 9*o + 0*o + 0*o.\nAnswer: 4*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2\/(3\/387 - 0). Suppose -2*k - l = -4*k. Is k composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hpo when three letters picked without replacement from nonhpnnnn?\nAnswer: 1\/504","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 192076.\nAnswer: 2, 31, 1549","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = w**2 - w - 31. Determine c(-7).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/3 in -0.04, 1.79, 5\/2, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 591116*v**4 + 5*v**3 + v - 1891268?\nAnswer: 7093392*v**2 + 30*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 5872*f**3 + 1424*f**2 + 3*f wrt f.\nAnswer: 35232","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 0.3, 3, -1, -2338 in descending order.\nAnswer: 4, 3, 0.3, -1, -2338","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2, -1\/5, 9, 4\/7, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 299 + -299.05. Sort 1, -0.2, -1, g in increasing order.\nAnswer: -1, -0.2, g, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s + 15 = -3*i + 21, -4*s - 5*i + 10 = 0. Sort 7, s, -5, -3.\nAnswer: -5, -3, s, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 7.993 - 8. Let z = 0.044 - o. Round z to two dps.\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -100220033 (base 4) to base 3\nAnswer: -10110102122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor k**4\/3 - 571*k**3\/3 - k**2\/3 + 571*k\/3.\nAnswer: k*(k - 571)*(k - 1)*(k + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -183, -777, -1773, -3177, -4995?\n\"Answer: -q**3 - 195*q**2 - 2*q + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3319\/35 + 477\/5. Which is the nearest to -0.1? (a) -2\/17 (b) -1\/3 (c) -40 (d) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k = d - 696, 3*d - 5*k = d + 1398. What is the remainder when d is divided by 15?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*k + 2*f + 4519 = -0*f + 4461, -5*f = -2*k + 40 for k.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -5*v - 187. Let x be r(-18). Let w = x - -123. Calculate the greatest common divisor of w and 377.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 144 and 48.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*h = 7 + 17 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6 - -8) + -2 + (-17 - (-56 + -6))?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -47078 - -47190. Calculate the remainder when o is divided by (-2)\/(-5) + 186\/10.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -211*w + 137. Let i be v(-4). Let f = -514 + i. What is the units digit of f?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 730 and -53.\nAnswer: -38690","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -103023 (base 4) in base 15?\nAnswer: -56c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z - 990183 = 106157. Let i = 146085 - z. Round i to the nearest ten thousand.\nAnswer: -130000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 281623486 to the nearest integer?\nAnswer: 130","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 3000076625 a multiple of 242?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 16267 is divided by 663?\nAnswer: 355","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h - x = -2*x - 10, h - 6 = 2*x. Suppose -h*i = i - 6, 0 = -4*m + 4*i - 8. Solve -4*v + m*v - 16 = 0 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2085152*h + 2 - 3 - 2107158*h + 1 to the form p*h + t and give p.\nAnswer: -22006","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r**5 - 690*r**4 + 60540*r**3 - 177500*r**2 + 176130*r - 58482 = 0. What is r?\nAnswer: 1, 171","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 9 - 11. Let s = h - -4. Put s, -17, 5 in descending order.\nAnswer: 5, s, -17","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.02 + 0.06. Let u = g + -1.04. What is the second smallest value in u, -4, -0.5?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4 - 1) + -1 - -11?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -47997.1 - -4.\nAnswer: -47993.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 171, 349, 529, 711, 895, 1081, 1269?\nAnswer: 1459","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 53? (a) 144 (b) -2\/9 (c) -530\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(38)\/(sqrt(18) - (sqrt(162) + sqrt(18))).\nAnswer: -sqrt(19)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = 2*p**2 + 1319*p + 11680. Determine u(-9).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2974009, -2974003, -2973997, -2973991, -2973985, -2973979?\nAnswer: -2973973","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0 + 0. Suppose l = -2*k + 5 + 13. Suppose -26 = -5*j + 3*p + 9, -3*p = -2*j + 14. What is the smallest common multiple of k and j?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in -1\/8, 2\/3, -13, -0.7?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*q + 5*s = 7*q + 19, s - 23 = -5*q. Let c be -2*(-1)\/q*2. Let b be -2 + (-1)\/c + -2. Do b and 0 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 greater than or equal to 6179\/1294?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 24109132274 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 - 1 + 2)*(-516*f - 1342368 + 1342368 + (-4*f + f + f)*(-1 + 0 + 2)) in the form s + d*f and give d.\nAnswer: -518","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = u - 1. Let o(a) = 32*a - 48. Let c(y) = o(y) - 40*q(y). What is the units digit of c(-8)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -196992 or -984961\/5?\nAnswer: -196992","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -9.3547 to one decimal place.\nAnswer: -9.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/12 + 14\/(-168)?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1380 - 514. What is the lowest common multiple of p and 4?\nAnswer: 1732","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 680693 + 394653 = 7888*z - 131542 + 260328 for z.\nAnswer: 120","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1198 - 373 = -33*h. Let j(q) = 2*q**3 - 2*q**2 - 2*q - 2. Let s be j(-2). Let k = s - h. Solve o - 16 = 3*y + 5*o, 3*y + k*o + 12 = 0 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 6 + -2. Let o = 0 + t. Let a = 2 + -1.9. Sort 2, a, o in increasing order.\nAnswer: a, 2, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*w + 10 = 2*w. Suppose r + 1148 = w*r. Is r prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = 2*y**2 - 15*y - 1. Let o be l(11). Suppose 6*n - 745 = -73. Let d = n - o. Is 18 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*f - 9*f = 480. Suppose 8*m = 6*m + f. Calculate the smallest common multiple of 8 and m.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3)\/(-6)*(-12)\/(-2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 11, 121, 281, 497, 775, 1121, 1541, 2041?\n\"Answer: t**3 + 19*t**2 + 46*t - 55","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -3, 7, 346, 5 in increasing order.\nAnswer: -3, 0, 5, 7, 346","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -3*q - 3. Let g be m(-2). Suppose 0*h = -g*h. What is the third biggest value in h, 4, -2\/13?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*l = -22*l - 714. Let 132*p**3 + 14*p**5 - l*p**2 + 109*p**2 + 41*p**2 + 16*p - 74*p**4 = 0. What is p?\nAnswer: 0, 2\/7, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 86063 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-13)\/(-2) - 1\/(-2). Let o = 16 - 12. Suppose -10 = -b - o*b. Solve -3*n + b*k = 8, v*n + 5 = 2*n - 5*k for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 1 + -1a4?\nAnswer: -1a3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 - -1 - (5 - (0 - -6))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.8, 1, -0.3, 41?\nAnswer: 41","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:14 PM and 10:36 PM?\nAnswer: 142","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1928*j - 1908*j - 306*j - 2247*j - 582*j to m + c*j and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*w - 8720 = -21*h - 8341, -5*w + h - 44 = 0 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1683596353 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -7*q + 168. Let k be n(23). Solve -2*c - 2*l + 6 = 0, -5*c - 20 = -k*c + 5*l for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 41*l + 215*l = 1536 for l.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Work out -6 - 217416467029.\nAnswer: -217416467035","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Product of 12 and 6.\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -2*x**3 + 105*x**2 + 28*x + 1457. What is q(53)?\nAnswer: 132","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.13 - 0.256. Let o = h + 0.12472. What is o rounded to 3 decimal places?\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9593.074l in millilitres?\nAnswer: 9593074","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.5, -49, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*d**3\/5 - 8*d**2\/5 + 256*d\/5 + 1536\/5.\nAnswer: -2*(d - 12)*(d + 8)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-14)\/28 - 22506\/(-12). What is the highest common divisor of 150 and k?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -101101 (base 2) to base 5.\nAnswer: -140","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*d**2 + 52*d**2 + 285 - 447.\nAnswer: 41*d**2 - 162","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 32 divide 108736?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 333139*p - 333140*p + 30 for p.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 15419 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -124.07 - -124. What is the third biggest value in -2\/5, -5, s?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = 7*b - 56. Calculate v(7).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*i - 5*i - 84 = 0. Suppose -3*p = 2*z + 2*z - 84, -4*z + i = p. What is the tens digit of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -802, -806, -812, -820?\n\"Answer: -l**2 - l - 800","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -62 (base 7) to base 16.\nAnswer: -2c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3*i**2*t**3 - 9*i**2*w**2 + 15*i*t**3*w**2 - 10*i*t**2*w - t**3*w wrt w.\nAnswer: -18*i**2 + 30*i*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 88, 4, 0.3, 18406.\nAnswer: 0.3, 4, 88, 18406","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 9480 and 4254?\nAnswer: 6721320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -32*(312\/(-8))\/780?\nAnswer: 8\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v + 3*f = -15, v + 9 = 5*v + 3*f. Suppose -v - 1 = -2*j. Solve 0 = -2*r + 3*c + 17, -4*r = -j*r + 2*c + 8 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((d\/d**(3\/2))\/d)\/d**(-4))\/((d*(d*d**29)\/d*d)\/(d*d**(-16))) assuming d is positive.\nAnswer: d**(-87\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = m + 2. Suppose 3*w = -3*y + 27, -2*w + 3*y + 0 + 13 = 0. Suppose -3*j + 4 = -w. Calculate the least common multiple of b(j) and 2.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 4756, 9501, 14226, 18925, 23592, 28221?\n\"Answer: -a**3 - 4*a**2 + 4764*a - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-12)\/7)\/(94\/329)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bjrr when four letters picked without replacement from {b: 2, w: 1, j: 1, r: 3}?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 67727 to the power of 1\/8, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bwfffffbfftbfttffwwf. What is prob of sequence tttw?\nAnswer: 1\/6460","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2376519.\nAnswer: 3, 103, 7691","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 16287d (base 14) to base 2\nAnswer: 10111101010100111111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1742)\/217 + 8)\/((-3)\/1092) - (3 - -7)?\nAnswer: 2\/31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -r = 4*z - 83, -3*r + 1123*z - 1127*z = -81 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1442 is divided by 94.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 3*(19 + -20) - (-1 - 0)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = 1378*a + 14290. Give o(-10).\nAnswer: 510","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 22178 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 22, 0.5, 88, 195?\nAnswer: 22","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*g + 4 = -2*s - 0*s, 2*g = 0 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 9265200 divided by 210?\nAnswer: 44120","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**(-8)\/(f**(2\/17)*f)*f**(4\/7)*f**3 assuming f is positive.\nAnswer: f**(-660\/119)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zvu when three letters picked without replacement from {v: 7, y: 4, z: 1, u: 1, m: 2}.\nAnswer: 1\/390","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (1*2)\/((-10)\/10)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange f**3 + 1168*f**2 + 26 - 32 + 6 to t + j*f**2 + r*f**3 + d*f and give j.\nAnswer: 1168","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is -56 <= -16341\/298?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1\/3*k**4 - 44\/3*k**2 + 5\/3*k**3 + 0 + 20*k = 0. Calculate k.\nAnswer: -10, 0, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 13\/39 + 1172\/(-6). Suppose 0 = -c - 5*v - 799 + 110, -2*v = c + 692. Let z = o - c. Is z a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e and 1 z when two letters picked without replacement from zzhhezezirizehhh?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -9.6 - -9.5. What is the nearest to p in 2.5, 3\/5, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*s**2 + 2*s**2 - 3*s**2.\nAnswer: 2*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28 = -2*k + j, j + 12 = -2*j. Let z be 78\/(5\/6 - k\/96). Calculate the greatest common divisor of 26 and z.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -134 - 121 = -5*g. Calculate the least common multiple of g and 30.\nAnswer: 510","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -264260 rounded to the nearest one hundred thousand?\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -3*i**3 - i**2 - 2*i - 1. Let y be m(-1). Suppose 4*p = -4, 5*n - 2*p = p + 53. Let o = n + -6. Solve 24 = o*b + 4*l, y*l - l - 20 = -4*b for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 550037 (base 8) in base 15?\nAnswer: 39951","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 - 23 = 5*y, 4*z - 12 = 4*y. Put -1\/4, -66, 4, -0.4, z in descending order.\nAnswer: 4, z, -1\/4, -0.4, -66","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -22 - -60. Let y(d) = -z + 8*d + 38. Let u(a) be the third derivative of a**4\/12 - a**2. Calculate u(y(s)).\nAnswer: 16*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-4\/7)\/t*t)\/(t\/((t**(-3\/7)\/t)\/t)*t)*t\/t**(1\/9)*t**(-8\/3) assuming t is positive.\nAnswer: t**(-61\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (-78)\/(-30) + -6 + (-2624)\/(-410)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-3080)\/(-210) + -13)\/(410\/12). Let k = 0.3 - 0.5. Which is the fourth biggest value? (a) h (b) k (c) 0 (d) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 6 + 0 + (-6)\/(-6). Let i(k) = -k**3 + 7*k**2 - 5*k + 2. Let s be i(j). Let q = s + 194. Is q a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 8 - a7832a2?\nAnswer: -a783295","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2 + -3. Let f = 8535 + -8541. Which is the biggest value? (a) y (b) -1\/3 (c) f (d) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 89 - 81. Solve -3*s + k = s for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 115629.0849 seconds?\nAnswer: 0.19118565625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 388889 and 3?\nAnswer: 388886","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2169 and 33?\nAnswer: 23859","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -3832*p**3 + 5*p**2 + 6*p + 2. What is the units digit of t(-1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1382545636 a multiple of 9759?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 10332 + -30?\nAnswer: 10302","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u = -0*u - 20. Let g(t) be the first derivative of -2 - 1\/4*t**4 + t**3 - t + 3*t**2. Give g(u).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3045 - 2373. Do 5 and z have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-7761)\/(-398))\/((-13)\/(-2)) - (-51)\/(-16).\nAnswer: -3\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1181, 5, -2, -108, -4.\nAnswer: -1181, -108, -4, -2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30 = 5*y + 2*n, -5*y = n - 0*n - 25. Suppose 4*g - 2*u = 164, y*g - 160 = -0*g + 4*u. List the prime factors of g.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14369 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or 159\/8705?\nAnswer: 159\/8705","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = 260*a**3 - 42*a**2 - 52*a - 9. Calculate q(-1).\nAnswer: -259","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = 2*i**2 - 4*i - 4. Let d be c(4). Calculate the remainder when (117\/(-54) + 24\/16)\/(6\/(-180)) is divided by (d\/10)\/((-1)\/(-5)).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*a*g**3 + 5184222*a*g**2 + a*g - 52595*a - 2*g**5 - g + 58 wrt g?\nAnswer: 12*a*g + 10368444*a - 40*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -21272 + 33947. Is a a multiple of 45?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (24 - 9) + -9 - (-9 - -33 - 5)?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0 + 1. Let k = -1 - -1.5. Let f = -2.781 - -2.681. Which is the second smallest value? (a) u (b) f (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 + -9 + 15 - ((-4 - -4) + 1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -13782 by 2.\nAnswer: -6891","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 48\/571 and 15\/4568?\nAnswer: 4568","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8983933?\nAnswer: 7, 37, 34687","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1398607 by -49.\nAnswer: -28543","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -u**2 + 14*u + 14. Let q be f(9). Let x = q - 59. Suppose d + m - 42 = 0, x = -0*d - 4*d + m + 163. List the prime factors of d.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -f**2 - 12*f - 8. Let u be h(-11). Suppose 0 = u*w + w + 8. Let c(t) = -3 + 3*t + 4*t - t - 7*t - 4*t. Calculate c(w).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-13*x + 8*x - 17*x)*(-3*x**2 + 99*x - 93*x + 8*x**2).\nAnswer: -110*x**3 - 132*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -3*x**2 - 6*x - 6. Let i(f) = 3*f**2 + 5*f + 5. Let o(z) = -z**3 + 14*z**2 - z + 8. Let s be o(14). What is s*i(a) - 5*l(a)?\nAnswer: -3*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/2*(-1)\/(16\/(-40)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 48 and 19009840.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6\/24)\/((-65)\/(-6500))?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j = l - 3, -2*j + 4*l - 5 = -17. Solve -3*c + 5*c = -j for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1 + 7\/(-7) + -4 + 46\/11. Suppose 4*x - 48 = -172. What is the biggest value in -0.5, x, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.5, -259\/659, 10 in ascending order.\nAnswer: -0.5, -259\/659, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -14 - -14.4. Let x = 4.87 - -0.13. What is the second smallest value in x, -3\/2, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:40 PM and 7:31 PM?\nAnswer: 171","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -11 + 26. Let h be 12\/(-16)*((-128)\/12 + 4). What is the greatest common divisor of k and h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 307559537 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 355*s + 564*s + 17864 = -24542 + 5646 for s.\nAnswer: -40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3.4 + 3. Let t = -0.04 + -1.96. Let u = 1 + t. Which is the closest to u? (a) -2 (b) 0.2 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = 3*c**2 + 40*c - 26. Let n be k(-14). Let h be (2\/(-3))\/(2\/(-6)). Let s(g) = 2*g - 3 - 3*g**h + 7 + 3*g**n - g**2. Calculate s(3).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -10.167077 to two dps.\nAnswer: -10.17","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16789.\nAnswer: 103, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1419041.7 - -2.\nAnswer: 1419043.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 21561979 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1958 to the nearest integer?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1238\/41473 + 1740\/67?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 85684?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u - 2*n - 402 = 0, -3*n = 3*u - 6*n + 315. Is -101 greater than or equal to u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:56 AM and 2:11 PM?\nAnswer: 255","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -4312.526 to the nearest 10.\nAnswer: -4310","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -18, 1, 0, -125, -5, 2.\nAnswer: -125, -18, -5, 0, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 23 + -23.068. Let y = a - -0.068. What is the second smallest value in -3\/7, -0.2, y?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*v**3 + 3191*v - 3191*v + 48*v**4 - 1 + 1 - 2*v**4 + (0*v**2 + 2*v**2 - 6*v**2)*(5*v**2 - v**2 - 5*v**2).\nAnswer: 50*v**4 - 3*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*c + 0*c + 3*c)*(-2*c**3 + 50 - 28 + 4*c**3) to the form k*c + i*c**3 + w*c**4 + b + m*c**2 and give k.\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2260395?\nAnswer: 3, 5, 50231","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*a + 6, -4*f = -0*f + a - 9. Suppose 4*h - 296 = 5*j, -31 = -f*h + 5*j + 186. What are the prime factors of h?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -5*k**3 - 340*k**2 - 14*k + 54. What is the remainder when y(-68) is divided by 19?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 810 and 2592.\nAnswer: 162","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -63 * -9\nAnswer: 567","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-17)\/(-5) - (-2)\/(-5). Let f(p) be the second derivative of p**3\/3 - 2*p**2 + 166*p. What is f(l)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -992286 - -992285. Let b = -6 - -4. Let g = b - 0. Which is greater: j or g?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.873 + -0.373. Sort n, -1.3, 1 in descending order.\nAnswer: 1, n, -1.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.88 + -0.12. What is the closest to p in 1, 2\/7, 1\/2?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -i**2 - 2*i - 1. Give u(-1).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0115684739 to 2 decimal places.\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/((-4)\/1))\/(26\/(-260)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14985829.\nAnswer: 14985829","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10345407 is divided by 168.\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*u + 3*u + 4*u)*(0 + 3 - 2) + (u + 3*u - 3*u)*(-4 + 3 + 0) + u + u - u + (-u + 0 + 0)*(1 - 3 + 1) + 4*u - 7*u + 2*u.\nAnswer: 4*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 1 + -643?\nAnswer: -642","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 841.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = l**2 + l + 32. Determine s(0).\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -395*y = 4*g - 390*y - 119, 2*y = g - 20 for g.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 1, m: 4, v: 2, l: 3, q: 1}. What is prob of sequence lml?\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 296 divide 572319?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 1, e: 3}. Give prob of picking 1 e and 1 a.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1492 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 13237 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = 8540*b**3 - 16*b**2 - 4*b + 4. Let p(s) = 11392359*s**3 - 21340*s**2 - 5335*s + 5335. Determine -4*p(v) + 5335*q(v).\nAnswer: -8536*v**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -3*d**2 + 6*d + 3. Let u(j) = -2*j**2 + 3*j + 1. Let p(v) = v**3 + 17*v**2 - 63*v - 482. Let k be p(-19). What is k*u(x) + 4*y(x)?\nAnswer: 2*x**2 + 3*x + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 19455, 38906, 58337, 77736, 97091, 116390?\n\"Answer: -2*u**3 + 2*u**2 + 19459*u - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1860 and 40.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -adc (base 15) to base 16\nAnswer: -999","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*(w**(-12)\/w)\/w)\/(w\/(w*w\/(w\/(w\/w**5)*w)))*(w*w\/w**(-1\/5)*w)**10 assuming w is positive.\nAnswer: w**14","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 9375 divided by -3?\nAnswer: -3125","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*t**2 + t**2 - 7*t**2 to the form u + d*t**2 + a*t and give d.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 13.3 - 13.2. What is the second smallest value in -3, 2, x, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 32.2 - 6.2. Let u = -29 + r. Which is the second biggest value? (a) 0.4 (b) u (c) -3\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 31088 and 603?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = 2*q + 1. Let w be j(1). Suppose 3*u + w = -x, 4*x - 2 = u + u. Suppose 3*m + 4*p = 5, m - 1 = -p - 0. Put m, 1, x in descending order.\nAnswer: 1, x, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 365806, 365525, 365244, 364963, 364682?\n\"Answer: -281*v + 366087","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g - 5 = p, 0 = -2*g - g + 3*p - 9. What are the prime factors of 6*(g - 35\/(-10))?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -t - 5. Calculate n(7).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = 22*a + 6. Let b(j) be the second derivative of -7*j**3\/6 - j**2 + 423*j. Give -7*b(x) - 2*d(x).\nAnswer: 5*x + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2183 and 413?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = 7*z**3 + 11*z**2 - z. Let l(m) = -20*m**3 - 32*m**2 + 3*m. Let o(u) = -6*l(u) - 17*x(u). Let b be (-76)\/18 + 4\/18. What is the tens digit of o(b)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = 7*j**2 - 1 + j**3 - 143*j + 448*j - 4 - 144*j - 153*j. Calculate y(-5).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ueeueuxeuuxuuu. Give prob of sequence ee.\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (58 - -1)\/((-18)\/(-36))?\nAnswer: 2, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g - 35 - 14 = 0. Let h be g\/(-63) + 4\/18. Calculate the lowest common multiple of h*-3 + 11\/1 and 10.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) be the third derivative of -6*z**2 + 0*z - 5\/6*z**3 + 0 - 5\/24*z**4. Find the first derivative of v(s) wrt s.\nAnswer: -5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = r + 2. Let n(p) = -p - 3. Let b be (-2)\/((-9)\/(-6)*40\/150). Suppose -5*i = -3 + 33. What is b*n(l) + i*j(l)?\nAnswer: -l + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:29 PM and 3:26 AM?\nAnswer: 657","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 17, d: 3}. What is prob of picking 2 d and 2 k?\nAnswer: 8\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z + 0 = -28. Let x(v) = -2*v**2 - 12*v - 11. Let h be x(z). Let d = h + 26. Which is greater: d or -2\/17?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -993, -5481, -13465, -24945?\n\"Answer: -1748*s**2 + 756*s - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 398777144 to the power of 1\/2, to the nearest integer?\nAnswer: 19969","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 13919686, 13919685, 13919684, 13919683?\nAnswer: 13919682","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 653035.7 weeks to milliseconds.\nAnswer: 394955991360000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out -78.769441 * 3.\nAnswer: -236.308323","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = 2*l**2 - l + 1. Let s be d(-1). Suppose 0 = 3*k - v - 10, 0 = s*v - 5 - 3. Is (k - 9)\/5*-19 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(12)\/(sqrt(54)\/(sqrt(36)\/sqrt(4))))**2 + -1 - ((sqrt(2) + 0)*-3 + sqrt(288) + -1))*3.\nAnswer: -27*sqrt(2) + 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -2*p - 20. Let s be o(-10). Suppose s = -2*x + 649 + 197. What is the units digit of x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*g - 125 = 4*g. What is the remainder when g is divided by 14?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 21 + -63. Suppose -4*p + 11 = -17. Calculate the least common multiple of p and ((-72)\/a)\/((-2)\/(-7)).\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4410 = -8*f - 10*f. Calculate the remainder when f is divided by 81.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 78563621.\nAnswer: 78563621","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2*1 - (-15)\/15. Suppose -137 = -n*z - 2. Is z a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -894, -3488, -7794, -13812, -21542, -30984, -42138?\n\"Answer: -856*r**2 - 26*r - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 + 0)*77\/(1232\/(-160)).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13 = j + 9 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -12550305 (base 6) in base 12?\nAnswer: -182395","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of (24696\/(-48))\/((-1)\/(-4 - -6)) and 35.\nAnswer: 5145","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z - 211 = -2*i, 3*i = z - 5*z - 155. Let f = z - -44. Solve -g = -j - 5, 0 = -3*j + f - 15 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = 3*i. Let o be b(1). Let m(v) = v**2 - v - 4. Calculate m(o).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wuwkcu. Give prob of picking 1 k, 2 u, and 1 c.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 66*v - 37161 = 62*v - 5*y, 0 = y + 3. What are the prime factors of v?\nAnswer: 2, 3, 1549","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = f**3 - 10*f**2 - 15*f + 12. Let k = -65 + 77. What is the hundreds digit of o(k)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = x**3 - 4*x + 4. Let m(w) = w - 8. Let s be m(4). Let g be a(s). Let h = 49 + g. Solve -4 = -h*c + 6 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (262\/8)\/(7 - (-5144)\/(-736)) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-1)\/1 - -2)*0. Suppose 0 = -i*c + 2*c. Solve 2*k - 10 = -4*r, -2*k + c*k = -4*r + 6 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-17 - (6 + -45)) + -55.\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -72*y + 2*t = -71*y - 550731, -y + 4*t + 550729 = 0. Is y a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -4 + 3*z**2 - 7*z - 2*z**2 + z**2 - z**2. Let o be s(8). Let g = 4136 - 4167. What is the third biggest value in o, g, -0.2?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -12, -1, -7, 5, 9 in decreasing order.\nAnswer: 9, 5, -1, -7, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*x**2 + 2*x**2 - 6*x**2 + x**2 + 12*x wrt x.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1\/(-5)*55\/(-22)\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:43 PM and 11:38 PM?\nAnswer: 115","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 509 is divided by 98?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -1 - ((-4)\/40)\/((-8)\/(-100)). Let f = -4827\/25 + 193. Sort 3, c, f.\nAnswer: f, c, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) be the first derivative of -g**6\/180 - 4*g**3\/3 - 1. Let p(r) be the third derivative of i(r). Let q(n) = 12*n**2. What is q(p(d))?\nAnswer: 48*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2925\/60*(7 - (0 + 3)). Suppose 2*c - 626 = -4*n - n, n - 121 = c. Let y = i - n. Is 17 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = 5*l - 6. Let s be n(1). What is the closest to s in 0.2, 0.8, 2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-8)\/(-10)*(-10)\/(-76). Let q = 51 - 52. Which is the nearest to -3? (a) f (b) -3 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-10 + 2)\/((-16)\/104). Let w = o + -68. Sort -2, w, -3, 5.\nAnswer: w, -3, -2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/((-1960)\/(-196)*7*1)?\nAnswer: -2\/35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) be the second derivative of -1\/10*j**5 + 0*j**3 + 265\/12*j**4 + 0*j**2 - 44\/15*j**6 + 2*j - 3. Find the third derivative of c(k) wrt k.\nAnswer: -2112*k - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 144 and 54.\nAnswer: 432","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -9*j. Let r(k) = -7753*k. What is r(d(y))?\nAnswer: 69777*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -654*-736\nAnswer: 481344","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1203947?\nAnswer: 31, 71, 547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5 - (7 - (-4 - -6))) + -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*c**2 + 151 - 19*c**2 + 13*c**2)*(10 - 10 + 5*c).\nAnswer: -5*c**3 + 755*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 105 (base 10) in base 8?\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4 = 5*k - 21 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3553405 is divided by 197377.\nAnswer: 619","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 56 - (-37 - -76 - 15).\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -z**2 + 41*z + 51. Let i(c) = 18*c + 234. Let u be i(-11). List the prime factors of k(u).\nAnswer: 3, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -8.79+-16\nAnswer: -24.79","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 69\/28 and 67\/106844.\nAnswer: 747908","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k**5 - 51*k**4\/2 - 135*k**3\/2 + 357*k**2\/2 + 885*k\/2 + 225 = 0. What is k?\nAnswer: -5\/2, -1, 3, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-1)*g)\/(g**3\/g)*(g**0)**(-36) assuming g is positive.\nAnswer: g**(-2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5e9 (base 16) to base 12.\nAnswer: a61","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -k**3 + 3*k**2 + k + 1. Let q be o(4). Let j = 2.994 - 5.994. Which is the nearest to q? (a) -1 (b) j (c) -5\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -22c28 (base 16) to base 2.\nAnswer: -100010110000101000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4\/7, 5, 0.26 in descending order.\nAnswer: 5, 0.26, -4\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2177011.\nAnswer: 2177011","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -24146 - -8433. Let r = -8766 - f. Is r prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6 + 0 - (-1 + -3)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 35882, 71759, 107634, 143507, 179378?\n\"Answer: -d**2 + 35880*d + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 175590 to the power of 1\/2, to the nearest integer?\nAnswer: 419","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -42557186, -42557185, -42557184, -42557183, -42557182, -42557181?\n\"Answer: d - 42557187","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1\/4 - 1\/4*a**2 + 1\/2*a.\nAnswer: -(a - 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = m + 0*m**2 + 5*m**2 - 4*m**2 + 0*m**2 - 2. Is w(4) a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2686 is divided by 382?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.1, 2\/11, -2\/19, -1, -5?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in three fifths of a decade?\nAnswer: 72","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 15802583 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.06355 rounded to three decimal places?\nAnswer: -0.064","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 137.2739 centuries in months?\nAnswer: 164728.68","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1245 - 619 - 384*f**2 - f - 626 + 0*f**2 - f**2 + 0*f**2 + (-4*f - 3*f + 5*f)*(2*f + 0*f - 4*f) + 3*f**2 - 2*f**2 - 3*f**2 - 2*f**2 - f**2 + 5*f**2.\nAnswer: -381*f**2 - f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is -3\/2 bigger than 23\/52?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -m**3 - 76*m**2 + 159*m + 620. Calculate t(-78).\nAnswer: 386","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 345383 to the power of 1\/2, to the nearest integer?\nAnswer: 588","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*t + 6 = 3*t. Let q = -10 + 15. Let l(g) = -2 - 4*g - 2*g + q*g + 1. Let f(u) = u. Determine t*f(o) + l(o).\nAnswer: o - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*h - 3593942820 - 148*h**3 + 3593942820 + 0*h.\nAnswer: -148*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 608998831*r - 608998831*r - 14*r**3.\nAnswer: -14*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (7 + -3)\/((-6)\/(-9)). Let x be 76\/8 + y\/(-4). What is the highest common divisor of x and 12?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 288708?\nAnswer: 2, 3, 7, 491","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 496 minutes after 9:44 AM?\nAnswer: 6:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*m - 21 = 17*m + 24 for m.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 305063028 - 10*l**2 - 305063028.\nAnswer: -10*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-11)\/55)\/((-6)\/(-36)).\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:40 AM and 4:19 PM?\nAnswer: 459","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1 - -1. Let j(a) = z*a + 2*a - 11 + 10 + a. Let n(p) = -2*p + 1. Let m(g) = -3*j(g) - 5*n(g). What is m(0)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2.68 + -2.28. Which is the closest to -1\/12? (a) 1 (b) k (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-2\/47)\/n)\/(n*n\/(n\/(n*n\/(n\/n**34))*n*n)*n) assuming n is positive.\nAnswer: n**(-1694\/47)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -227 * -0.3\nAnswer: 68.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 12397, 25003, 38027, 51679, 66169, 81707, 98503, 116767?\nAnswer: 136709","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*h = 8*h - 6. Suppose 0 = h*k - 54 - 273. Does 25 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = h**2 + 4*h - 1. Let x(v) = -2*v**2 - 9*v + 2. Let f(g) = 7*q(g) + 3*x(g). Let s(w) = w**2 - 4. Determine 2*f(y) - s(y).\nAnswer: y**2 + 2*y + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -11*r + 2. Let y be f(-1). Let p = 16 - y. Solve 0 = -3*m - p for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1, 1\/342, -3.48, 5?\nAnswer: 1\/342","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1706 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 100 - 141. Let u = d + 83\/2. Let h be (-3)\/5*(-2 - -1). Which is the third smallest value? (a) h (b) u (c) 4\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -o + 1. Let i be l(-1). Let z = 2\/6393 + 10651\/12786. Which is the smallest value? (a) 3 (b) i (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find f such that -2*f**2 - 264*f - 8584 = 0.\nAnswer: -74, -58","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 1389 + -1378 + (-20 - -1)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vvovvovovvvvvovovvv. What is prob of sequence ooo?\nAnswer: 10\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*z**4 - 1025*z**2 + 2*z**3 - 3*z**3 + 598*z**2 to f*z**2 + u*z**4 + o + s*z + m*z**3 and give m.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-five halves of a litre in millilitres?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -3725a41 (base 12) in base 11?\nAnswer: -608373a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 41*d - 1966 - 1114 = 67*d + 44*d for d.\nAnswer: -44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -15*w**3 - 25*w**2 - 35*w - 11. What is p(-1)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -2*p**2 - 24*p + 1613. Let s be o(-35). Let v be (-6)\/(-26)*2\/(-3). Which is the smallest value? (a) 0.1 (b) -1 (c) v (d) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -2 and 108\/25 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 714 minutes after 11:59 PM?\nAnswer: 11:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (9\/4)\/((-120)\/(-32)). Let i = -3 - -4.8. Let u = i - -0.2. Which is the nearest to 0? (a) f (b) u (c) 22\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -3109, -3547, -4283, -5323, -6673, -8339, -10327, -12643?\n\"Answer: -p**3 - 143*p**2 - 2*p - 2963","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rrrraousrxxuxrrsrxa. Give prob of sequence susr.\nAnswer: 1\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/2, 775, 2\/9, 26\/1367, 5.\nAnswer: -1\/2, 26\/1367, 2\/9, 5, 775","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*q + 2*q - 3*q)*(-24*q - 13*q + 0*q + 4*q - 5*q - q + (0 + 1 + 1)*(-2*q - q + 5*q)).\nAnswer: -140*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 4*m**4 + 11424*m**2 - 44829 wrt m?\nAnswer: 16*m**3 + 22848*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:40 AM and 7:47 AM?\nAnswer: 67","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/4)\/((-54)\/(-3996)*1)?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-18)\/(-1080)*-10 + (-2)\/((-24)\/(-82)).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 855*i**2 + 2*i + 88 wrt i.\nAnswer: 1710","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-1\/13)\/y**(-10)*(y**(-3\/7)\/y*y)\/(y*y*y**0*y))**(2\/13) assuming y is positive.\nAnswer: y**(1182\/1183)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1854241597?\nAnswer: 13, 19, 7507051","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -0.16589 - -2954649\nAnswer: 2954648.83411","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 + 1)*(1 - 2 + 2)*(0*c + c - 3*c).\nAnswer: -2*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 67 - 68 - (-6 - 0)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 981\/39 - (7 - 712\/104). Is o smaller than 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 81.78 - 91.379. Round w to zero dps.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 + 20 = -3*m - 5*l, 5*m + l - 5 = 0. Suppose -o = -6*o. Suppose -43 = -13*k - 4. Put m, k, o in increasing order.\nAnswer: o, m, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (15\/30)\/((-1)\/(-6)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4? (a) 118.9 (b) -2\/3 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 z and 1 s when three letters picked without replacement from srerzrrlozee.\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) be the third derivative of 29*o**4\/24 - o**3\/6 - 5*o**2. Let l be c(2). Suppose -3*y + 6*y = l. List the prime factors of y.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 705, 2765, 4825?\n\"Answer: 2060*q - 1355","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 5.6658 - 5.85. What is m rounded to 2 dps?\nAnswer: -0.18","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -16 divided by -3.\nAnswer: 16\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4643, -4675, -4727, -4799, -4891, -5003?\nAnswer: -5135","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1, 52\/5, -3\/268?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 1 + 10)*(-2 + 2 - 1)*(0*o**4 + 0*o**4 + o**4 + (o - o**2 - o)*(47*o - 47*o - 4*o**2)).\nAnswer: -60*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1187 - 709 = -4*q. List the prime factors of q.\nAnswer: 2, 3, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 41*a + 49196 = 55*a. What is the thousands digit of a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) be the second derivative of -y**6\/24 - 3*y**5\/80 - 747*y. Solve f(c) = 0 for c.\nAnswer: -3\/5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -1010, -2023, -3036?\n\"Answer: -1013*k + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*g + 15 = 5*u, 5*g + 429*u = 432*u - 25 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 divided by 6053.\nAnswer: 1\/6053","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2 (b) 3\/25 (c) -2\/23\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 8? (a) 30 (b) 215 (c) 1 (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*s - 22 = -16*b - 59*b - 4 + 41, 0*s + 3*s + 24 = 0 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000195792897 to 7 dps.\nAnswer: -0.0001958","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nx when two letters picked without replacement from xxxbbbxxxnbxxnnx?\nAnswer: 9\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 13, 34, 67, 112, 169, 238, 319?\n\"Answer: 6*k**2 + 3*k + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 7411 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1088181?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-1157)\/(-7) - -1 - (-26)\/(-91). Suppose 3*z - 5*u - 130 = 0, -3*z - 4*u + 0*u = -j. Calculate the remainder when 110 is divided by z.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -105\/13 + 2309\/273. Let n = -5\/7 + i. What is the third biggest value in 2\/9, n, -2\/9?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in seventeen tenths of a kilogram?\nAnswer: 1700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9*1\/18*4.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2477, 9658, 21537, 38114, 59389, 85362?\nAnswer: 116033","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3.4 - -0.4. Let f = -3.06 - n. Round f to one dp.\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 199355014 is divided by 4984?\nAnswer: 4982","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 g and 2 t when four letters picked without replacement from qwgqgqwgwqggwwt.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*i = 4*k - i - 14, 27 - 56 = 2*k - 3*i for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2119, -1578, -671, 608, 2265, 4306?\nAnswer: 6737","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 127\/7062 and -67\/27.\nAnswer: 63558","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (2 - -1)*1 + -1. What is the second derivative of n**2 + n**k - 3*n**2 + 2*n - 3*n**2 wrt n?\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = a**3 - 4*a**2 - a. What is the lowest common multiple of o(5) and 16?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 9\/10 of a day?\nAnswer: 77760","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -16 divided by -60\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -669*x**2 + 15*x. Let l(z) = z**2 - 3*z. Let r(m) = -j(m) - 5*l(m). Let a(b) = 2*b**2. Calculate r(a(n)).\nAnswer: 2656*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2403*d + 41508 + 44698 = 5198 - 24724 for d.\nAnswer: -44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put -29, -5, -565 in decreasing order.\nAnswer: -5, -29, -565","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y = 4*i + 5616, 2*i - 7076 = 2087*y - 2092*y. What is the remainder when y is divided by 340?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 27877618, 55755235, 83632852, 111510469?\n\"Answer: 27877617*i + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-seven halves of a kilogram in grams?\nAnswer: 18500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -3, -4, -102, -5?\nAnswer: -102","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = 2*a**2 - 2*a - 4. Let k be 3\/((225\/15)\/15). Let r(h) = 2*h**2 - 3*h - 3. Calculate k*r(q) - 4*o(q).\nAnswer: -2*q**2 - q + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3 - -5. Suppose 0*t - d = i*t - 5, t = -5*d + 7. Solve 21 = 3*j - t*a + 1, -j + 5*a + 24 = 0 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 125\/12 and 81\/650956916?\nAnswer: 1952870748","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 4075241 to the nearest integer?\nAnswer: 160","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 669 minutes before 5:29 AM?\nAnswer: 6:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o - 85 = -13*o. Solve 4*d = 3*s - 1, s - 5 = o*s + d for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (6\/(-8))\/(1\/8). Let w be (-2)\/n*(21\/2)\/7. Let q = 0.1 + -0.6. What is the closest to w in 1\/7, q, -1?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -11 + 20. Suppose 236*m - 28 = 234*m. What is the second derivative of -26*b + 6*b + g*b**5 + m*b wrt b?\nAnswer: 180*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 56 + -49. What is the common denominator of 53\/3 and ((-20)\/t)\/5 + (-2150)\/(-945)?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in eight fifteenths of a day?\nAnswer: 46080","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 203 minutes before 8:37 AM?\nAnswer: 5:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + (sqrt(7) + 1 + 4)*4)*6 - ((5 + sqrt(252) + 0 + -3)*-2)**2.\nAnswer: -904 - 72*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of a*l**4 + 2*a*l**3 + 4*a*l + 814499*l**4 + 7*l**2 - 1281*l - 6 wrt l?\nAnswer: 24*a*l + 12*a + 19547976*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = m**2 + 2*m + 1. Let f be x(-3). Let h be f\/10 - (-53)\/5. Let l = h - 6. Solve 0 = 2*w - l*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -29 divided by -399?\nAnswer: 29\/399","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 142684?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (-7 - 13 - -4) + 11?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2.561214km to micrometers.\nAnswer: 2561214000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -3*(-9003)\/5292 - (-3)\/12. Let a = g + 1\/294. What is the common denominator of 13\/2 and a?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 120063 + -3346?\nAnswer: 115616","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*s + s - 5 = 0. Suppose -5*u + 5*c + 5 = 0, -2*c - 9 = -5*u + 5. Solve -2 = 3*w + s*h, 5*h - 13 - 13 = u*w for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 367 is divided by 36.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = 232*w. Let j(l) = 556*l. Give m(j(n)).\nAnswer: 128992*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -9 - -8.66. Let o = 2.66 - j. Put o, 6\/11, 1\/4 in decreasing order.\nAnswer: o, 6\/11, 1\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2124 divided by 531\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -o**2 - 32*o - 39. Does 8 divide x(-21)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6529 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 4*0.73423\nAnswer: 2.93692","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -2313002332 - 312?\nAnswer: -2313003310","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*f**3 - 8895*f**2 - 17805*f - 8905.\nAnswer: 5*(f - 1781)*(f + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**16*w\/(w*w**(2\/39)*w)*w)**(1\/3) assuming w is positive.\nAnswer: w**(622\/117)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qqqq when four letters picked without replacement from qqqqqqq?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 95.5671*85.\nAnswer: 8123.2035","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 283 minutes after 7:45 AM?\nAnswer: 12:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3314 and 23131720?\nAnswer: 3314","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + sqrt(80)*-2)*5.\nAnswer: -40*sqrt(5) + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*n + n - 2*n)*(6128906 - 21136*n**3 - 6128906) in the form q + u*n + x*n**3 + i*n**2 + a*n**4 and give a.\nAnswer: 21136","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1*56\/595*(-55)\/(-22)?\nAnswer: -4\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2 - (-1 - -2)*3. Put 14.1, q, -3\/5 in descending order.\nAnswer: 14.1, -3\/5, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3*a*d - 13126*a - 14092*d wrt a.\nAnswer: 3*d - 13126","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-120)\/60*(-6)\/(-32)?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*q + 3*q + 10*q + 33*q.\nAnswer: 39*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 130, 467, 1356, 3073, 5894, 10095, 15952, 23741?\n\"Answer: 46*y**3 + 15*y + 69","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 5, x: 2, f: 3, i: 1, w: 1, r: 1}. Give prob of picking 1 x, 1 i, and 1 f.\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 47\/2 and 89\/278.\nAnswer: 278","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b and 1 q when two letters picked without replacement from ibbibqdqbbqbq?\nAnswer: 4\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Determine u, given that 4536728936045*u**2 + 114305640*u + 720 = 0.\nAnswer: -12\/952547","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = 2*r + 17. Let c be i(-13). Let o be (-3)\/c*0 + -33. Let h be (-6)\/o - 212\/(-44). Solve 1 = -4*s + 5*y, 0*y + 3 = 3*s - h*y for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y + 27 - 42 = 0. Let s(d) = -37*d - 3. Let x(a) = -25*a - 2. Let g(m) = y*s(m) + 7*x(m). Give g(-2).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4962164243 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 7? (a) -0.5 (b) 260 (c) 2\/21 (d) 149 (e) -0.4 (f) -2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -51625140 - -23025140. Round b to the nearest one million.\nAnswer: -29000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (z - 1 + 1)*(1 + z - 1) - 8 - 3 + 2 - z**2 + (-1 + 0 + 0)*(-217*z**2 - 2736 + 2736) - 4*z**2 + 0*z**2 + 0*z**2.\nAnswer: 213*z**2 - 9","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (33\/22*2)\/((-3)\/(-44)). Let m = 110 + -73. Let z = y - m. Calculate the greatest common divisor of z and 56.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -20*12\/300*(-100)\/(-32)*(-3390)\/75\nAnswer: 113","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = 13*n**3 - 22*n**2 + 28. Let x(y) = 2*y**3 + 6. Let d(g) = i(g) - 6*x(g). What is d(22)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 132 and 84?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1 + 5. Suppose 5*p + 4 + j = 0. Suppose -3 = -5*o + 6*o. Which is bigger: p or o?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18697 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -8 - -8 - 8\/(-2). Let a be ((-4)\/(-6))\/(q\/18). Suppose -3 = 2*n + 3, -a*g = -4*n - 108. Solve r = 4*c + 10 - g, -3*r = 5*c - 19 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/3? (a) -3 (b) -406 (c) 2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:55 PM and 10:04 PM?\nAnswer: 249","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 43025*h**2 + 37406*h wrt h.\nAnswer: 86050","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -49.39 to the nearest 10.\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-1)\/(-5))\/((-7)\/((-12775)\/15)). Let d = h + -24. Is d equal to 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -3372 smaller than -3317?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -2028, -4235, -6798, -9891, -13688, -18363?\n\"Answer: -29*l**3 - 4*l**2 - 1992*l - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -389135.37 to the nearest 100000.\nAnswer: -400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:19 PM and 3:18 AM?\nAnswer: 599","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((1\/(-3))\/(5979\/(-91678)))\/(14\/18).\nAnswer: 46\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3503666 to the nearest integer?\nAnswer: 1872","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 30047273?\nAnswer: 30047273","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z\/(z**(8\/5)*z))\/(z**16\/z))\/(((z\/z**0)\/z)\/z)**46 assuming z is positive.\nAnswer: z**(147\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 5 - -2 - (7 - (1 + 12))\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 80262, 80215, 80182, 80169, 80182?\nAnswer: 80227","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*x - 90 = -180*w + 175*w, -3*w + 20 = -5*x for w.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5 + 22*n - 2*n**3 - 47 + 6 - 3*n**2 + 19*n**2 + 0*n**2.\nAnswer: -2*(n - 9)*(n - 1)*(n + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-18)\/9 + -3 + 0. Let x(z) = z**3 + 3*z**2 - 3*z + 2. Let i be x(c). Let s = -26 - i. What is the least common multiple of s and 16?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(200)\/sqrt(4)*-5)\/((sqrt(10) - sqrt(90))*6).\nAnswer: 5*sqrt(5)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = 3*z**3 + 2*z**2 + 2. Let v be a(2). Let t = -29 + v. Solve 0 = 3*b - t*g - 13, -3*b = -0*g - g - 5 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 241 is divided by 80?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = 9*v - 9*v + 2*v**2 + 7*v**2. Let k be f(-1). Let n = k + 8. What are the prime factors of n?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -23*d**3*q + 3265*d**3 + 11659*d**2*q + 10*q wrt d.\nAnswer: -138*q + 19590","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-8)\/1 + -9)*-857 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 0.1 and 5\/12 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -3*s + 42. Determine i(11).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 1 + -8a930a?\nAnswer: -8a9309","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*sqrt(1900) - sqrt(19) - sqrt(19) - (sqrt(228) - (sqrt(228)*2 - sqrt(228)))\/sqrt(12).\nAnswer: 8*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f - 149 = -2*z, 295 = 4*z + 2*f + f. Suppose 8*h - 12 = 5*h. Suppose 0*b + z = h*b. Is 9 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -15657972.660062 - -15657940. Let k = 272.658972 + o. Let l = 240 - k. Round l to 4 decimal places.\nAnswer: 0.0011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -4*j**2 + 106*j - 52. Calculate y(26).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 105297430?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 287 - 323*x**3 - 287 - 32*x + 32*x - 136*x**3.\nAnswer: -459*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 611 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*a**3 + 1517*a - 182*a + 109*a + 2*a**3 - 152*a**2 = 0. Calculate a.\nAnswer: 0, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 74351640 divided by -1185\nAnswer: -62744","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*m = -2*m - 7 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -4*g**3 + 812*g**2 - 4081*g - 2.\nAnswer: -24*g + 1624","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 37722 divided by -12574.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.2 - 3172594.47.\nAnswer: -3172594.27","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -42341 (base 11) to base 10\nAnswer: -61634","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 80 - 56. Solve 0 = -2*y + u, 5*y - d = y - 4*u for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-2 + 2)\/(-74*56\/(-1036)). Factor o - 2\/9*b**2 - 26\/9*b.\nAnswer: -2*b*(b + 13)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f\/f**(-16\/7))\/(f*f*f**(-11\/4)*f)*(f*f**(-6))**(-2\/17))**(3\/19) assuming f is positive.\nAnswer: f**(5175\/9044)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -157\/427890 and -31\/484942.\nAnswer: 7274130","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 7\/272 and -105\/136?\nAnswer: 272","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -23\/31255 and 7\/49115.\nAnswer: 343805","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 29510 (base 15) to base 12.\nAnswer: 649b9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 806 a factor of 3750136?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 223 minutes before 10:58 AM?\nAnswer: 7:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 91 and 364\/8*(-30)\/(-21).\nAnswer: 455","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = o**3 - 10*o**2 + 19*o - 15. Let t be r(8). Calculate the highest common divisor of 45 and t.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12 divided by 2.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 698\/18 - (-10)\/45. Suppose -b + 5*s - d = 0, 7*b - 4*s = 3*b - 92. Let a = 35 + b. Solve 5*g - 2*u + 8 + 9 = 0, u = 5*g + a for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m - 3*v + 5*v = 0, 0 = -2*m + 3*v + 1. Let u(f) = -11*f - f**3 + 32*f - 13*f + 3*f**m - 8*f. Let s(d) = -3*d**3 + 6*d**2. Give -3*s(j) + 7*u(j).\nAnswer: 2*j**3 + 3*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -1 (b) 2\/15 (c) -0.5 (d) -2 (e) -12\/181 (f) 0.2 (g) 7\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -o**3 - 2*o**2 - 4*o - 3. Let z be x(-2). Suppose -2*j - z*f + 21 = 0, -24 = -3*j - f - 4*f. Suppose -j*w = -5*w + 24. Solve w = 4*g - 4 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -3 and -0.015.\nAnswer: 0.045","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = 180*m**3 - 12*m**2 + 33*m - 36. What is the ten thousands digit of z(4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1546885797 to the power of 1\/2, to the nearest integer?\nAnswer: 39330","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(136)*-1)\/sqrt(8) + sqrt(833)*-2)**2*-3.\nAnswer: -11475","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13 divided by -8.\nAnswer: -13\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = 21863*z. Let l(b) = 4897*b**2. Give l(n(u)).\nAnswer: 2340720795793*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.005022773813 to six dps.\nAnswer: -0.005023","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12 = 30*m - 42*m for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 77 and 825.\nAnswer: 5775","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*z = -17*z + 5. What is the lowest common multiple of (-18)\/(-15)*z*-5 and (-69)\/92*-3*4?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = 2*a - 5. Calculate v(-8).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 176 and 2486.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jujg when four letters picked without replacement from {j: 3, u: 5, b: 2, g: 7, o: 3}?\nAnswer: 7\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 0.06*357\nAnswer: 21.42","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -8*b**4 + 5*b**3 + 10*b**2 - 5*b. Let w(c) = -9*c**4 + 4*c**3 + 9*c**2 - 4*c. Let r(i) = -4*h(i) + 5*w(i). Find the third derivative of r(a) wrt a.\nAnswer: -312*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 91051579 less than 91051578?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 30103476 divided by 2\nAnswer: 15051738","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -n**2 - 4*n + 3. Let v be i(-4). Let p = -0.03 + 2.03. Let w = p + -7. Put 5, v, w in increasing order.\nAnswer: w, v, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17*m**2 + 0 + 11*m**2 - 22*m**2 + 1.\nAnswer: -28*m**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 2532131387?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 + 76*o + 41*o + 404*o.\nAnswer: 521*o + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-1)\/2)\/((-3)\/(-4)). Let h = 36 + -71\/2. Let q = 0.1 - 0.1. Which is the second smallest value? (a) q (b) h (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -3b3823 + -70?\nAnswer: -3b3893","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.01684 (b) 159 (c) -2\/13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) be the third derivative of 1\/15*r**5 - 10*r**2 + 1\/8*r**4 + 0*r - 1\/120*r**6 + 0 + 5\/6*r**3. Is 7 a factor of y(4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 252.21126 days?\nAnswer: 36.03018","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0.42 or 358?\nAnswer: 358","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 240 and 300?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 69 (b) -1947 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -54 - -425*68\/578\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 130047.\nAnswer: 3, 67, 647","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -164 (base 16) to base 11\nAnswer: -2a4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-5)\/((-15)\/9) + -8. Let a(f) = 3*f**2 + 4*f + 1. Is 13 a factor of a(v)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 108\/45*(-5)\/(-2)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = 66*f - 448. What is i(11)?\nAnswer: 278","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 6, 4, -10 in increasing order.\nAnswer: -10, 1, 4, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = x**3 - 8*x**2 - x + 10. Let b be c(8). Let r(q) = 2*q**3 + 2*q**2 - 3*q + 3. What is the remainder when r(b) is divided by 8?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hhjhjgmhh. What is prob of sequence hj?\nAnswer: 5\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -z**3 - 2*z**2 + 11*z + 21. What is the remainder when 448 is divided by t(-4)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.7 or -9\/2?\nAnswer: -9\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -987*h**4 + 12119*h - 3*h**5 - 296*h**4 - 3663*h wrt h?\nAnswer: -60*h**3 - 15396*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1426 - -662?\nAnswer: -434","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3 + 0. Let v(k) = -k - 3 + m. Let c(p) be the second derivative of -p**3\/2 + 25*p. Give c(v(h)).\nAnswer: 3*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 43092 and 13784904?\nAnswer: 2268","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4935869 is divided by 58.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -31.7 + 32. Let y = 8 + -10. What is the third smallest value in y, u, -3\/8?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0 - 2 + 6*w**2 - 6 + 2*w**4 - 3*w + 2*w**2 - 6*w**2 to the form k*w + c*w**4 + r*w**2 + i + o*w**3 and give k.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = 2*c - 6*c + 3*c. Let h be r(-5). Suppose -3 = -h*p + 7. What is the second smallest value in p, -1, -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + (sqrt(2299) - -1*(-1 + sqrt(2299)))*1)**2 - ((1*sqrt(152)*4)\/(5*sqrt(72)) + -4).\nAnswer: -2644*sqrt(19)\/15 + 9216","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -31 - 2681?\nAnswer: -26b2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c = 5*b + 106, 4*c + 59 = 2*c - b. Is (-8)\/(-36) + (-1857)\/c composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1\/6784 or -9\/7?\nAnswer: -9\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = 11*h**2 + 2. Let c(l) = -8*l. Give y(c(k)).\nAnswer: 704*k**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 1, 0 in ascending order.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6.185039um to millimeters.\nAnswer: 0.006185039","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 36 a factor of 1368?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 481 minutes after 8:22 AM?\nAnswer: 4:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15357339.\nAnswer: 3, 19, 89809","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 11676, 20926, 30148, 39330, 48460, 57526?\nAnswer: 66516","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1181417 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -44*r**2. Let s(n) = -2*n. What is s(x(q))?\nAnswer: 88*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 321505 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 - -2 - (2 - (0 + -2))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o = -5*u - 8, o - 513*u + 4 = -508*u. Let h(c) = -c + 8. Let l(d) = d - 1. Calculate o*l(b) + h(b).\nAnswer: 5*b + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 42*j - 244656 = -3198. Is j a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 902 - 883. Solve 4*a - r + h = 0, -2*a + 2*r - 18 = -4 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h = 7*b - 8*b + 4, -3*h = 0. Sort b, 9, -8, 0 in descending order.\nAnswer: 9, b, 0, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -222.929 to the nearest one thousand.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -4*11971\nAnswer: -47884","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*h + 3*j - 3 = 0, -4*h + 3*h = -5*j + 5 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand i + 4*i - 4*i + (-2 + 0 - 2 + 0 + 5 - 2 + (-4 - 4 + 6)*(1 + 1 + 0))*(-1 + 15 + 3)*(i - 4 + 4).\nAnswer: -84*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -18*g**3 + 146*g**2 - 141*g + 23. What is a(7)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = 6*v + 1. Let i = 2 - -3. Suppose 2 = 2*p + 2*x, i*x - 6 = 4. Let n be t(p). What is the smallest value in 0.5, n, -2\/7?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 1, j: 3, e: 3, w: 7, t: 5}. Give prob of picking 1 t and 3 w.\nAnswer: 175\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i = -10*i + 20. Let z = 5 + -3. Suppose z*j = 5*j - 6. Solve 6 = 3*g - 4*l - j, i = 4*g - 2*l for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -5203*j*z + 15*z + 95 wrt j?\nAnswer: -5203*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-1808)\/(-8)*1\/(-2). Let q = 202 + v. What is the tens digit of q?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 58*c - 75*c = -295*c + 2407 + 7045 for c.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + 32 = -12. Suppose -2*v = -3 - d. Is v prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 6.3 + -5.8. Which is the nearest to q? (a) -2\/11 (b) 1\/5 (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o - 5 = 0, 2*l + 23*o - 19*o + 10 = 0. Let i = 0.5 + -1.3. Which is the smallest value? (a) l (b) 2\/7 (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 500091239 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -103064149 to the nearest ten thousand.\nAnswer: -103060000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -460 divided by 2.\nAnswer: -230","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j - 4*s + 4 = 0, 4*s = -4*j - j + 4. Suppose -7*o + 106 = 22*o - 10. Solve -u = j, 11*u = -o*f + 15*u + 16 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -5912 + 5916. Factor -2\/7*q + 0*q**3 + 3\/7*q**2 + 0 - 1\/7*q**y.\nAnswer: -q*(q - 1)**2*(q + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -15.059 - -11.059. Suppose 3*q + 4*x - 3*x - 1 = 0, 0 = 4*q + x - 2. Let t = -773\/7 + 110. Which is the biggest value? (a) q (b) t (c) -0.01 (d) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1\/8 - -5\/24. Which is the second biggest value? (a) -3 (b) -0.02 (c) i (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -55*v**2 - 33*v**2 + 6*v + 3*v + 0*v - 52248 + 52250 to s*v**2 + j*v + w and give s.\nAnswer: -88","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23*x + 6*x + 9*x = 3*m - 7*x, 5*m + 6 + 5 = 2*x for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 3\/(-18) + 429\/990. Which is bigger: v or 0?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 42 + -51. What is the units digit of w\/6*(-55 - 3)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f + 5*x + 6 = 0, 12*f - 2*x = 16*f - 34. Is f less than or equal to 38\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 2\/13, 9, 4\/9, 0 in descending order.\nAnswer: 9, 2, 4\/9, 2\/13, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 39977 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f - 2*f - 614 = 0. Is f a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.11425 + 1.11425. Let l = 1.35 + 4.95. Let o = l + -6. Which is bigger: o or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -6 and 396147865.\nAnswer: 396147859","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 17623 is divided by 1478.\nAnswer: 1365","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (2\/4)\/(16\/(-544)). Let f = p + 21. Suppose -17 = -5*k + 23. Solve 0 = -f*j + k*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*((sqrt(108)*2)\/((-1*sqrt(16))\/sqrt(4)) + -2).\nAnswer: -12*sqrt(3) - 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 49307 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -56*f = -94*f - 216*f + 3140456. What is the greatest common divisor of 88 and f?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -2*n. Let l be x(-3). Suppose 5*k + l = -9. Let r(m) = -1 + 3 - 26*m**3 + 2*m**2 - 3*m + 27*m**3. What is r(k)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2647.\nAnswer: 2647","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*n - 5 - 3. Suppose 3*z + 0*v = 5*v - 16, n*v - 1 = 3*z. What is the first derivative of 7 - 5*j**3 + j**3 + 6*j**3 - z*j**3 wrt j?\nAnswer: -3*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 483403461056+-13\nAnswer: 483403461043","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qzzzzzqzzz. Give prob of picking 1 z and 1 q.\nAnswer: 16\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 100\/450 + 3625\/9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b + 1 = 2*v, 2*b - 6 = -0. Let h(w) = 18*w + 6*w**v + 25*w - 43*w - 1. Give h(-1).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 240 (base 6) to base 12.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 103\/2296 and -97\/22.\nAnswer: 25256","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1 + 2 - (2 + 25). Let m be -15*(-4)\/(n\/14). Is 8 a factor of 6\/10 - 294\/m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -56334, -56336, -56338, -56340, -56342?\n\"Answer: -2*d - 56332","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ttettttteeettt. What is prob of sequence eett?\nAnswer: 45\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -6552 (base 7) in base 9?\nAnswer: -3180","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 27 and 2331?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 10*q - 9*q + 5 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 3 - 0\/(1 - 0). Let p(q) = -q**3 - q**2 + 6*q + 7. Let m be p(-2). Let l be ((m + 1 - 3) + 3)*1. Solve l = 4*w - w - b for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -277*h - 14883 = 193*h - 2193 for h.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -1. Let p(a) = -2*a + 2. Let n(m) = -m**3 - 9*m**2 - 8*m + 4. Let t be n(-8). Calculate t*k(f) + p(f).\nAnswer: -2*f - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from latlytlhl. What is prob of sequence tyhl?\nAnswer: 1\/378","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -r**2 - 15*r + 219. Let n be q(-24). Solve n*m + 8*m = -33 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 45249?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert -302100 (base 5) to base 16.\nAnswer: -25b2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -841, -1690, -2539, -3388?\n\"Answer: -849*u + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2695*m + 2680*m + 529995 = 0. Is m prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -106 - ((26 - 2) + -94)?\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = 75*y + 76. Let n be c(-1). Is n at least as big as -4\/171?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 0.5 (b) 2513 (c) -7\/9 (d) -54 (e) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2\/161 - 328\/483. Let x = 12 + -12.2. Do m and x have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 z when four letters picked without replacement from eezzezzzezz.\nAnswer: 7\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -61.5 + 47. Let t = -3.5 + g. Let x = t + 18.3. Which is the closest to 1? (a) -2 (b) 3 (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u - 4*y - 76 - 100 = 0, 138 = 3*u - y. Calculate the remainder when u is divided by 16.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f + 0*f + 5*q - 12 = 0, -3*f - q = -6. Do f and -1\/318 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (1 + -104)*(-401)\/(-2005) - (-105)\/5\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -424001, -847350, -1270699, -1694048?\nAnswer: -2117397","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -2*x + 5. Let q(y) = -6*y - 7*y**2 + 2*y**3 + 4 + 2*y**2 - y**3 + 2*y**2. What is the remainder when q(x) is divided by 13?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b - 3 = -s + 3*b, -5*s = -b - 3. Find w, given that 6*w**4 + w**4 - 30*w**2 - 25*w**3 + 6*w**4 - 3*w**4 + s*w**5 + 5*w**5 = 0.\nAnswer: -3, -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*k**3 - 33*k + 6*k**3 - 6*k**3 - 230*k + 2*k**3.\nAnswer: 2*k**3 - 263*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5 + 5 + 5*a + 3*a - a + 0*a + (-2*a - 1 + 1)*(-6 + 0 + 4).\nAnswer: 11*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -336*m - 381*m - 112*m - 965*m to the form k + v*m and give v.\nAnswer: -1794","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -132 times 0.47?\nAnswer: -62.04","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -165, -170, -177, -186, -197?\n\"Answer: -h**2 - 2*h - 162","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in -1\/9, 65, -3, 2\/11, 0.3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*x + 2*l + 36 = 0, x - 61*l + 97 - 348 = 0 for x.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.01054 + -1.01054. Which is the second smallest value? (a) 81 (b) f (c) 0.1 (d) 0 (e) -1\/10\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine a so that a**5\/2 - 2*a**4 + 5*a**3\/2 - a**2 = 0.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 96 = 16*u - 96. Find the second derivative of 173*l + u*l**4 - 61*l**4 - 53*l wrt l.\nAnswer: -588*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d + 2 = 14. Suppose d*p - 540 = -2*j - 24, 0 = j. What is the units digit of p?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t = -6*t - 3, 0 = -4*f + t - 7835. Let k = -972 - f. What is the hundreds digit of k?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 18235?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = 2*z**2 + 5*z - 1099. What is x(22)?\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 28189 to the power of 1\/2, to the nearest integer?\nAnswer: 168","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -g**3 - g - 1. Let a(u) = 8*u + 1 + 15*u + 2*u**3 + 2*u**2 - 44*u + 25*u. Calculate a(q) + 4*y(q).\nAnswer: -2*q**3 + 2*q**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 23857, 95446, 214761, 381802, 596569, 859062, 1169281?\nAnswer: 1527226","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3630 is divided by 7?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2\/23, 0, -77?\nAnswer: -77","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 17 + bb?\nAnswer: d3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3\/12 - (-10)\/((-2000)\/(-75))*138.\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 3036920, 3036853, 3036788, 3036725?\n\"Answer: d**2 - 70*d + 3036989","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**2*f*f)**5\/((f**(1\/3)\/f)\/f)**(-2\/35) assuming f is positive.\nAnswer: f**(418\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-1\/3)\/(z**(1\/9)*z*z))**(-42) assuming z is positive.\nAnswer: z**(308\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (16\/40)\/(((-4)\/(-10))\/2). Suppose 0 = -2*r + b + 427 - 80, -z*r = 4*b - 332. List the prime factors of r.\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1399 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 4\/24 - (-34)\/12. Suppose s*b - 27 = -0*b. What are the prime factors of b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3 - 6. Let r = 3.5 + w. Let k = 0.05 + 1.95. What is the smallest value in k, 0, r?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = 2*q**2. Suppose 0*t = -4*a + t - 8, -4*a + 3*t - 16 = 0. Give x(a).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**3\/j*j)**40\/((j*j*j**(2\/7)*j)\/(j*j*(j*j\/j**(-11))\/j*j)) assuming j is positive.\nAnswer: j**(922\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -i + 5. Let z = i + 2. Suppose 20 = z*p + 5. Solve -f - 6 = -a, p*f + a + 1 + 1 = 0 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 242012038.4 rounded to the nearest ten thousand?\nAnswer: 242010000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*x - 520 = 10*x. What is the tens digit of x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 384\/7 - (-7)\/49. Let o(k) = k**3 - 8*k**2 + 9*k - 9. Let d be -5 - -10 - (-3 + 1). Let l be o(d). Calculate the greatest common factor of l and y.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = 101850*l + 9613. Is w(7) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5437, -4, 2\/9, 5, 3, 2, 3\/5 in ascending order.\nAnswer: -4, 2\/9, 3\/5, 2, 3, 5, 5437","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 376*o - 371*o + k = 573, -2*o + 4*k = -216. Calculate the lowest common multiple of o and 870.\nAnswer: 16530","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -9*x - 3. Let n be 5\/((-70)\/(-4)) - (-48)\/28. Suppose n*r = -1 - 23. What are the prime factors of l(r)?\nAnswer: 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 897541322 to the power of 1\/6, to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -402 = -2*h - 34. Suppose -3*s + 20 = -h. What are the prime factors of s?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 25 minutes after 3:10 PM?\nAnswer: 3:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1380*s**4 + 46696 - 46696 + (0*s**2 + 0*s**2 + 2*s**3)*(-2*s + 2 - 2) to the form v*s**4 + q + n*s**2 + r*s + o*s**3 and give v.\nAnswer: 1376","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -p**2 - 12. Let o be q(0). Let c = o - -29. Solve 4*g + 3*w + 0*w + c = 0, 0 = 5*g + 4*w + 22 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = 3*n - 7*n. Suppose 0 = -2*x - 0 + n. Solve 0 = -4*c + 16, -x*j + j = -3*c + 10 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -24266 (base 10) in base 7?\nAnswer: -130514","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -l**3 + 23*l**2 + 51*l - 21. Let x be r(25). Suppose -1259 = -g + x*y, 3*g + 3777 = 6*g - 5*y. Is g a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -d**5\/4 + 55*d**4\/4 - 99*d**3\/4 - 367*d**2\/4 - 53*d = 0 for d.\nAnswer: -1, 0, 4, 53","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 6857 to the power of 1\/8, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -231.9 + 247. Let j = -16 + m. Let t = 0.4 + j. What is the nearest to -2\/3 in -5, -2, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6 + 5 - 4 - -5.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s = t + 10, t = 2*s - 3*t + 14. Let g = -0.1 + -0.1. Let n = 1738\/1299 - 2\/433. What is the biggest value in n, s, g?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -z**4\/2 - 9*z**3 - 93*z**2\/2 - 68*z - 30 = 0. What is z?\nAnswer: -10, -6, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 9.89 + -9.99. Let q = -0.15 - 3.85. Which is the smallest value? (a) -1\/11 (b) q (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1139?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 - (-8 - (-7 + (5 - 1)))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 13031413 (base 7) to base 9.\nAnswer: 2204424","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 363506 and 42394?\nAnswer: 902","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Total of 371382.46 and -895.526.\nAnswer: 370486.934","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand -20*w**5 + 21*w**5 - 46*w**5 - 2*w**5 + 3*w**3 - 3*w**3 + (-2*w**3 + 0*w**3 + w**3)*(-3*w**2 + 0*w**2 + 2*w**2) + 2*w - 2*w**5 - 2*w.\nAnswer: -48*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from sxgasfafxaagexx. What is prob of picking 1 x and 1 e?\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((6\/(-2))\/(-12))\/((-4)\/6).\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -25 + 1105*o - 1119*o - 124 - 2*o**2 - 77 in the form w*o**2 + y*o + d and give d.\nAnswer: -226","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + -11 + (-24 - ((5 - 15) + (108 - 109)))?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*s = 19 - 107. Let w(n) = -n**3 - 14*n**2 - 36*n - 18. Let f be w(s). Round f to zero decimal places.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sd when two letters picked without replacement from {z: 1, s: 3, f: 1, d: 2}?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = x**2 - 3*x. Let r(q) be the third derivative of -q**4\/24 + 2*q**2 - 34. Calculate r(n(a)).\nAnswer: -a**2 + 3*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4351, -4331, -4299, -4255, -4199?\nAnswer: -4131","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000368217187 to seven dps.\nAnswer: -0.0000037","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 22221 (base 3) to base 11\nAnswer: 1aa","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y**2 + 4380000*y + 4380005 = 0. What is y?\nAnswer: -1, 876001","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b = 3*i + 9, i = 2*b - 3 - 2. Let f(q) = q**2 - q**b + q**2. Let d(w) be the first derivative of -5*w**2\/2 - 2. What is f(d(z))?\nAnswer: 25*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 1098757 <= 1098755?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*o*s**2 + 117*o + 9*s**4 + 8*s**2 - 33 wrt s.\nAnswer: -4*o*s + 36*s**3 + 16*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5631?\nAnswer: 3, 1877","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*m = 11*m - 3. Suppose -u + 2 = -m. Calculate the lowest common multiple of u and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = i - 1. Let y(h) = h**2 + 8*h - 8. Let p(x) = 5*q(x) - y(x). Let a(m) be the first derivative of p(m). What is the first derivative of a(s) wrt s?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -27\/623168 and -155\/133536.\nAnswer: 1869504","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -t**2 - 85*t - 442. Determine c(-6).\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is -10512 != -10540?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = a**3 - 2*a**2 - a + 2. Let l be m(2). Suppose l*t = -2*t + 144. What are the prime factors of t + -1 + -1 - 2?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v and 1 k when two letters picked without replacement from kffkkfvfbblff.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -4 + u**2 + 2 + 2 - 3*u - 3. Let j be t(-3). Let h(x) = j - 3 + x + 0*x. Calculate h(-6).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -n**2 - 8*n - 6. Let r be p(-7). Let g be (-2 - (-1 + r))*-2. Suppose g*o - 2 = 3*o. Solve -6*t = 4*c - 4*t - 6, -o*c - 3 = -t for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 95 + -58. Suppose 0 = 4*a - 5*a + w. Does 10 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-18)\/(-4)*(-2)\/3. What is the remainder when 5 is divided by 15\/(9\/3) + m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -n**2 + 7*n. Let w be v(7). Suppose w*l = -l. Suppose k + 4*m = 1 + 3, -m + 1 = l. Solve k = 4*s - 12 - 4 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 7\/1186 or 1?\nAnswer: 7\/1186","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 1, -3\/4, 1\/2, 2, 0, 64?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*j - 2399 - 1836. What are the prime factors of j?\nAnswer: 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from uuzauunzu. What is prob of sequence unnu?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.15 + 0.53. Let t = h + -0.37999783. Round t to 7 decimal places.\nAnswer: 0.0000022","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -2.114782 to three decimal places.\nAnswer: -2.115","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 46 divide 1383?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-1 + 1 + 2*n)*(4*n - 6*n + 3*n) + 4*n**2 + 2*n**2 - n**2)*(3 + 3 - 4).\nAnswer: 14*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:11 PM and 9:30 PM?\nAnswer: 19","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 788138 is divided by 8794.\nAnswer: 5472","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 214.4366 millennia?\nAnswer: 214436.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(140)\/sqrt(112))\/sqrt(4) + 2 - ((sqrt(20) - (sqrt(20) + 1)) + (sqrt(5) - ((sqrt(5) - 1*sqrt(5)) + -5) - sqrt(5))).\nAnswer: -2 + sqrt(5)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: Let c be (9\/(-2))\/((-7)\/14). Let k(z) = -z + 2. Let d be k(-7). Calculate the highest common divisor of d and c.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 27 divide 65961?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1\/6723 - -40333\/33615. Factor 2\/5*v**3 - 2\/5*v - 6\/5 + c*v**2.\nAnswer: 2*(v - 1)*(v + 1)*(v + 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 1, -4 in ascending order.\nAnswer: -4, -3, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:07 PM and 6:38 PM?\nAnswer: 211","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1 + (-2 - (-1 - -1)). Let v = -3 - -4. Let q = v - n. Solve 4*p + 25 = -s, -5*p - q*s + 7*s = 0 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-68)\/(-8) + (-1)\/2. Let n(f) = 2*f**3 - 2*f**2 - f - 2. Let m be n(2). Let c = u - m. What is the highest common divisor of 4 and c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + 5*x = 9*x - 57, 4*w - 148 = 4*x. Calculate the greatest common divisor of w and 656.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/(-4)*40\/(25\/5)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cv when two letters picked without replacement from vvvvcpppvp?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 64 and 64?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 953?\nAnswer: 953","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a litre in millilitres?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2687 + 4884. Suppose -8*i - 85 + n = 0. Is 29 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.64, -2\/197, -4, 0.1?\nAnswer: -2\/197","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (9 + -17 - -15) + -1.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -13, -17, -21, -25, -29?\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 25\/4 of a year?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30*b + 27*b = 4788. Suppose 153 = 3*c + 4*u + u, 12 = -4*u. What is the highest common factor of b and c?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -7*f + 2. Let p(x) = -x + 4*x - 6*x + 4*x + 1. Let o(h) = d(h) - 3*p(h). Let k = -10 - -9. Give o(k).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from essssrrresrsrreeress. What is prob of picking 1 e and 1 s?\nAnswer: 4\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xz when two letters picked without replacement from zxjxx?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.22 * 1.21.\nAnswer: 0.2662","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + 5 = -9. Suppose 4*k - 20 = -4. Let j = 25 - k. What is the highest common factor of a and j?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*a + 4*a - 2*a)*(-20 - 18 + 39 - 128*a).\nAnswer: -256*a**2 + 2*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 409 or 290?\nAnswer: 409","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*i**0)\/i*i**(2\/15) assuming i is positive.\nAnswer: i**(2\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*l + 15 = -32*l - 195 for l.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 2334863819 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.0587 or -44?\nAnswer: -44","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*d = -8*d - 9. Solve 4*b = 5*v + 19, d*b = -b - 4*v - 8 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 11340266*b**2 - 12700786 wrt b.\nAnswer: 22680532*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 j when two letters picked without replacement from {f: 4, j: 3}.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (7 - 1) + (2 + -13 - -16) + -35?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -166\/387159 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 7\/1515102 and 81\/109790?\nAnswer: 7575510","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 8450337 to the nearest integer?\nAnswer: 204","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = 5*k**3 - 6*k**2 - 5*k - 8. Let o(n) = -2*n**3 + 2*n**2 + 2*n + 3. Let v = 86 - 89. Give v*q(a) - 8*o(a).\nAnswer: a**3 + 2*a**2 - a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 27244490 a multiple of 845?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 15 + -13. Let l(t) = -3*t**3 - 2*t**2. Let k(g) be the first derivative of -4*g**4 - 11*g**3\/3 - g - 145. Determine f*k(j) - 11*l(j).\nAnswer: j**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-3)\/4 - 154\/(-88). Solve -4*n + 5*s - 1 = 0, 4*n - 8 + f = -3*s for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 30 + -45 - ((2 - 3) + (3 - 3)).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 167894*c**4 + 246*c**3*u + 2*c*u + 1968045*c wrt c?\nAnswer: 2014728*c**2 + 1476*c*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -355*y + 2853. Let k be z(8). Let f(m) = 10*m - 52. Determine f(k).\nAnswer: 78","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by -15?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 63*q - 33*q + 251156*q**2 - 30*q.\nAnswer: 251156*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 56.53381t to nanograms.\nAnswer: 56533810000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence faf when three letters picked without replacement from aaufauusaususufsasu?\nAnswer: 5\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 54\/10 + 6\/10. Let y(b) = 2*b + 66. Let z(q) = 22. Let u(d) = 3*y(d) - 8*z(d). List the prime factors of u(i).\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*p + 32 = -36*p. Suppose -5*h - u + 340 = -6*u, -u = 3*h - 184. Let s be (-165)\/h - (-1)\/3. Which is smaller: s or p?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -42116625 greater than or equal to -210583131\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 30\/((-2 + 0)\/(-2)). Let i be p\/4 + (-18)\/12. Let r be (i\/24)\/((-1)\/(-12)). Let n(c) = 4*c - 2. Determine n(r).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.09006164 rounded to 1 decimal place?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/4 in -2\/5, 5\/6, -1?\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1 + 1. Let m(f) = f**2 - 5*f - 3. Let y be m(-3). Let q = y - 17. Sort -5, q, a in decreasing order.\nAnswer: q, a, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) be the first derivative of -29*k**5\/20 - 31*k**2\/2 + 32*k + 2. Let q(a) be the first derivative of y(a). What is the first derivative of q(g) wrt g?\nAnswer: -87*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:21 PM and 7:02 PM?\nAnswer: 341","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 60561?\nAnswer: 3, 2243","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*l**2 + 1720*l - 78624.\nAnswer: -4*(l - 378)*(l - 52)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1565 = 5*c + 4535. Find the common denominator of 0 - ((-153)\/c - 2\/3) and 1\/20.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -52*a - 56 = -4 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = s**2 - 448*s + 45641. What is q(156)?\nAnswer: 89","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-1)\/(-5))\/(494\/65 - 7). Let u be (1 - 0)\/(2\/(-6)). What is the closest to p in 5\/3, u, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/4 in 1\/2, -0.4, -12, -20?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**1)**(10\/11)*(r*(r*r*r*r**(-1\/3)*r*r*r*r)\/r*r)**(-1\/2) assuming r is positive.\nAnswer: r**(-193\/66)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -w**3 + 5*w**2 - 3*w + 10. Calculate the remainder when 67 is divided by m(4).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6\/(4 + (-36)\/6)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*l**3 + 18186*l**2 - 55121766*l + 55691357582.\nAnswer: -2*(l - 3031)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -5 + 1. Let z = -32 + 33. Which is the nearest to z? (a) 5 (b) -1 (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 90, 140, 276, 540, 974, 1620?\nAnswer: 2520","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (((-42)\/105)\/((-8)\/10))\/(10\/(-12)). What is the second smallest value in 0.081, 10, y?\nAnswer: 0.081","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 446657279 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 44350 - 74830. Let q = -30479.46963 - z. Let c = -0.53 + q. Round c to 4 decimal places.\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1706859 (base 10) to base 13\nAnswer: -479b9b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2 - -6. Let s be z + (-2 - 0)\/2. Suppose s*q - 35 - 16 = 0. 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 common denominator of (-10)\/(-65) + (10 - (-71428)\/(-7007)) and -33\/13?\nAnswer: 1001","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -14627011 + 14625814.1687. Let h = 1396.82 + i. Let k = h + -200. Round k to 3 decimal places.\nAnswer: -0.011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -63 + 63 + (0 - (0 + -7)).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 51 divide 932841?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -14*q. Let h(s) = -6*s**2 - 11*s + 11. Let y be (-2)\/(-9) + (-176)\/(-99). Let b(c) = -c**2 - 2*c + 2. Let z(f) = y*h(f) - 11*b(f). What is z(v(n))?\nAnswer: -196*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -100 + 23122?\nAnswer: 23022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3011021 (base 5) to base 7.\nAnswer: 255611","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xxxyxxyyyxyy. Give prob of sequence yyyy.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 30461 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(5*sqrt(45)*1 + (sqrt(360) + sqrt(360)*-2)\/sqrt(8)))\/((-4*sqrt(315)\/sqrt(5))\/(sqrt(49)\/((sqrt(7) - 1*sqrt(7)) + sqrt(7)))).\nAnswer: -5*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) be the second derivative of 0*f**2 + 5\/3*f**3 + 1\/10*f**5 - f**4 + 3 + 47*f. Factor c(u).\nAnswer: 2*u*(u - 5)*(u - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-26)\/(-325)*-5)\/(9\/5)?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*j = -10*j - 86852. Let x = j + -13656. Is x a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = 2*a**2 - 37*a + 131. Determine f(5).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 15768 - 8320. Is 28 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 415 + 1105 = -80*w for w.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (2 + -1)*(96\/(-6))\/1. Let d = -8 - a. Let 0*q**3 - d*q**3 + 9*q**3 + q**2 = 0. What is q?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -13*v + 52. Let l(n) = -1. Let r = -44 - -43. What is r*c(p) - 52*l(p)?\nAnswer: 13*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.11 and -53.\nAnswer: 5.83","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 444 times -1532\nAnswer: -680208","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1908 and 790972.\nAnswer: 7118748","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 625 minutes after 8:48 AM?\nAnswer: 7:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2\/7 (b) 2 (c) -1 (d) 0.233 (e) 1\/3 (f) 29\/28\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 6.1392346 to 1 decimal place.\nAnswer: 6.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + 0 + sqrt(18))**2.\nAnswer: 6*sqrt(2) + 19","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 93 < 8625\/94?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -1960, -3799, -5634, -7465, -9292?\n\"Answer: 2*f**2 - 1845*f - 117","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) be the first derivative of -y**5\/3 + 25*y**4\/12 + 20*y**3\/9 - 50*y**2\/3 + 79. Determine a, given that w(a) = 0.\nAnswer: -2, 0, 2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-99 - -163) + 5 + 17 + 5\nAnswer: 91","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6970?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 53 + -68. What is the units digit of 18*2\/((-10)\/a)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5754581.\nAnswer: 7, 53, 15511","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is -4253\/20 != 21?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 138179 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 37217900 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -516 - -291. Let j = k + 136. Is j > -89?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28427 = 15*u - 18*u - 2*p, 0 = -4*u + 3*p + 37914. Is u a multiple of 78?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.068 and 4156.48.\nAnswer: 4156.412","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 435972908?\nAnswer: 2, 7, 89, 137, 1277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 504, 513, 528, 549, 576?\n\"Answer: 3*k**2 + 501","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hhpp when four letters picked without replacement from hphpppppphpppp?\nAnswer: 5\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1150 to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 103\/31275070 and 109\/1190.\nAnswer: 218925490","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2962, -5751, -8548, -11359, -14190?\nAnswer: -17047","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*b + b - b)*(-5 + 5 + 2*b**2 + (2*b**2 - 2*b**2 + 2*b**2)*(-7814 + 1226 + 3203)).\nAnswer: -13536*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*b - 4*d + 20, -28*b + 32*b - d = 0 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*b + 12, -2*k + 8*b - 9*b + 7 = 0. Calculate the highest common factor of k and 55.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 11*a**2 - 53*a - 10.\nAnswer: (a - 5)*(11*a + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*j - 846 = 2*s - 826, 40 = -3*s + 5*j for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 3\/8, -0.1, 2\/45 in ascending order.\nAnswer: -4, -0.1, 2\/45, 3\/8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/(2\/9) - 16\/(-32).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1269453 a multiple of 29?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -2 - (-436)\/20 - 4\/(-20). Suppose 8*r = 13*r - p. Suppose -82 = -a - r*s, -4*a + 273 = 8*s - 3*s. What is the remainder when a is divided by 19?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 16097 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: Solve -28 = -31*x + 38*x for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -116*b + 1624 = 149*b - 62*b. Let r be (56\/6 - 0)*3. Let g = r - 17. Is g >= b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 484 and 12886148.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 1, i: 2, a: 1, s: 2, o: 1, z: 1}. What is prob of picking 1 j, 1 s, and 2 i?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 1324 divided by -4\nAnswer: -331","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -86 = -10*a + 4*x - 2*x, -a + 2*x + 23 = 0. Calculate the greatest common divisor of a and 497.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = x - 4*x + 4*q + 8, 2*x + 2*q + 18 = 0. Which is the second biggest value? (a) -1 (b) x (c) -2 (d) -1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 7 = 4. Let p = -256 - -250. Let f = p + -9. Which is the closest to f? (a) q (b) 2 (c) 1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -50*c - 9640 - 11*c**2 - 587 - 25*c**2 + 25*c**2 wrt c?\nAnswer: -22*c - 50","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 5 (b) -1\/4 (c) -2 (d) 4.168 (e) 20\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -12 - -36. Let k be (-120)\/(-21) - 2\/(-7). What is the greatest common factor of a and k?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 80*d - 80820 = 60*d. What are the prime factors of d?\nAnswer: 3, 449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z = -3*z + 12. Suppose -4*m - 2*x = -164, -2*m - z*x + 119 = 37. What is the remainder when 72 is divided by m?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -6806*v + 35. List the prime factors of k(-4).\nAnswer: 27259","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30 = -3*o + 3*b, 5*b + 2 = o - 24. What is the third derivative of -5*c**2 - 4*c**2 - 4*c**2 + 17*c**o wrt c?\nAnswer: 2040*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 22359?\nAnswer: 3, 29, 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = s + 4. Let h be y(-6). Let q = 159\/20 + -77\/10. Which is the nearest to -0.09? (a) h (b) -1\/2 (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5a384 (base 11) in base 13?\nAnswer: 30780","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 175 + m**3 - 175 + 0*m + 0*m.\nAnswer: m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of -3 - ((-8)\/(-6) - 1336\/3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -b. Let w(s) = 108*s - 9. Let u(n) = 50*n - 5. Let o(z) = -13*u(z) + 6*w(z). What is o(g(h))?\nAnswer: 2*h + 11","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -4863406*c**3 + 817*c**2 + 4863406*c**3 - 128*c**5 - 6*c**4 wrt c.\nAnswer: -7680*c**2 - 144*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-214*g**2 + 428*g**2 - 216*g**2 + 115*g)*(-1 - 1 + 1).\nAnswer: 2*g**2 - 115*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = 41*q. Suppose 0 = -0*d - 2*d - 16. Let j be (4\/(-4))\/((d\/(-6))\/(-4)). Let s(r) = 55 - j*r - 55 + r. What is z(s(h))?\nAnswer: -82*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -29*s - 3 + 11*s + 9*s + 10*s + 15*s**2. Let k be h(4). Suppose k = 5*p - 104. What is the units digit of p?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 2270342236 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (((-28)\/147)\/((96\/(-28))\/(-8)))\/(-4)\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 119*h**3 + 254*h**3 + 281*h**3 - 12*h**3.\nAnswer: 642*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 194807263 and 398705?\nAnswer: 974036315","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10\/15*-3*1?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 738928, 1477919, 2216910, 2955901, 3694892?\nAnswer: 4433883","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x - 9 = -3*u, 0*u + 3*x + 3 = 3*u. Suppose -4*b - 2*g + 2 = -5*g, 0 = -2*g + u. Solve -6*y + 3*f - 4 = -b*y, 5*y = -2*f - 28 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:40 AM and 11:53 AM?\nAnswer: 553","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -231 - -115. Let f = -111 - q. Put -8, -10, f in increasing order.\nAnswer: -10, -8, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6633918745 less than -3428?\nAnswer: -6633922173","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -3*s**3 - 4*s**2 - 4*s - 1. Let c be l(-1). Does 17 divide (117\/c)\/(-9)*-15*2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 11*n**2 + 3*n**2 + 2*n**2 - 15*n**2 + n**2 - 7*n in the form w*n + c + x*n**2 and give c.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4611 by -112.\nAnswer: -4611\/112","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2837?\nAnswer: 2837","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 276.43 to the nearest 10.\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2135 + 5743. What is the greatest common divisor of c and 88?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3 and 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = 99*u + 3. Let k(b) = 405*b + 10. Let d(n) = 202*n + 5. Let i(j) = 7*d(j) - 3*k(j). Let l(v) = -3*i(v) + 5*p(v). Does 17 divide l(-1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 65, -15111, 4 in descending order.\nAnswer: 65, 4, -15111","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -5604 (base 12) to base 15\nAnswer: -2c3d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -106 - -605. Is h a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-174)\/45 - 2\/15. Sort 2, n, 4 in descending order.\nAnswer: 4, 2, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from sssshshshshsss. What is prob of picking 1 s and 2 h?\nAnswer: 15\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 + 5 = 2*b. Let s be (-3 + (4 - 1))\/b. Solve -3*r = d + 2*d, 4*r - 5*d + 27 = s for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -1 + 1 + 0 - q. Let f(b) = 5*b. Let p(z) = 9*z. Suppose 4*x - 43 = 5*o, 2*x - 11 = -3*o + 4*o. Let d(n) = o*f(n) + 4*p(n). Give c(d(w)).\nAnswer: -w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 115 + (29 - 121) + (0 - (-1 + 11)) - -90?\nAnswer: 103","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 6.2 + -74.2. Let p = z - -152. Let o = p - 89. What is the second biggest value in o, -2\/3, -1.1?\nAnswer: -1.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 31439 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-1))**19\/(b**0)**(-37) assuming b is positive.\nAnswer: b**(-19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-140 + 140 + 19*l)*((-3*l + l + 4*l)*(-1 + 3 - 3) - 3*l + l + 0*l) to the form w*l**2 + h*l + z and give w.\nAnswer: -76","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*v*z**2 + v*z + 14857133*v - 2493393*z**2 - 3 wrt z.\nAnswer: -4*v*z + v - 4986786*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 1, h: 1, e: 5, b: 2, o: 5, m: 1}. Give prob of sequence obb.\nAnswer: 1\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -3428753 and 0.202465?\nAnswer: 3428753.202465","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -3df - 1c?\nAnswer: -3fb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express 22*i - 14*i**4 - 22*i + (3*i**2 - 3*i**2 - 2*i**2)*(7*i**2 + 3*i**2 + 6*i**2) in the form v*i**4 + f*i + q + p*i**2 + c*i**3 and give v.\nAnswer: -46","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 69.022 - 69. Let a = -0.09 - f. What is a rounded to two dps?\nAnswer: -0.11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -12\/5*x**3 - 6\/5*x - 21\/5*x**2 + 3\/5.\nAnswer: -3*(x + 1)**2*(4*x - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00015959212 rounded to five decimal places?\nAnswer: -0.00016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(4 + sqrt(192)))**2 - (sqrt(192) + -4 + sqrt(3)*2).\nAnswer: 1014*sqrt(3) + 3332","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.1, -57088, 2, 5, -2, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:40 PM and 7:01 AM?\nAnswer: 681","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 1, e: 2, x: 1, b: 5, r: 1}. Give prob of picking 1 r, 1 b, and 1 g.\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -5425*j**3 + 7086*j.\nAnswer: -32550*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = r - 9. Calculate t(5).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.879 in 4, 7\/5, 1\/4, -1?\nAnswer: 7\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 518.2742mg to tonnes.\nAnswer: 0.0000005182742","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -y**2 - 34*y - 110. Determine t(-30).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*h = -2*h. What is the remainder when (6 - 4)*51\/6 is divided by 0 - (1 - (10 - h))?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 - 28) + 12 + 12 + 0?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 12001001 + -1011020?\nAnswer: 10212211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -16 - -16. Suppose -2*k = -i*k - 4*n - 8, -k + 3*n = -7. Is 1 at most k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2652331531 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) be the third derivative of -n**7\/1260 - n**6\/90 - n**5\/15 - n**4\/8 + 3*n**2. Let a(l) be the second derivative of q(l). Factor a(h).\nAnswer: -2*(h + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i = 10 + 2. Suppose -4*f - 2*m + 0*m = -144, 0 = -f + i*m + 29. Suppose f = 8*h - h. Sort 2, h, 4 in decreasing order.\nAnswer: h, 4, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 10168720?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 8256, 16637, 24942, 33165, 41300?\nAnswer: 49341","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 47.8 greater than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.593017836 rounded to 1 dp?\nAnswer: -3.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -7 and 72.\nAnswer: -504","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:53 PM and 1:48 AM?\nAnswer: 535","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40*p - 17*p = 0. Let y(l) = -2*l**3 + 2*l**2 + 2*l - 7. Let v be y(-6). Suppose p = 5*n - 0*n + 2*k - v, -4*k = 0. Is n a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*j + 7312 = 7332 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -35 - -252. Calculate the remainder when r is divided by 22.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 164\/(-820)*10\/(-1)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 48 minutes before 9:13 PM?\nAnswer: 8:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 160 is divided by 127?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 2041963043 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2452366 and 1128.\nAnswer: 29428392","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1*((-35)\/(-7) + 63).\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 197873.\nAnswer: 13, 31, 491","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b - 2*b = -148. Let k be -2 + ((-395)\/2)\/(-1). Let u = k - b. What is the common denominator of 38 and u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -17 - -12. Let n = 1 - p. 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: Suppose 3*r + 4 = 5*m, -4 + 2 = -5*m + 4*r. Let o(h) = -2*h + 2*h + 2*h**m. Let l(y) = y**2. Calculate l(o(d)).\nAnswer: 4*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/11, -1.18, 192, -2\/17, 0 in decreasing order.\nAnswer: 192, 2\/11, 0, -2\/17, -1.18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v + 3509 = 5*s, 3*v + 4*s - 308 = 4966. What is the units digit of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bbww when four letters picked without replacement from {w: 3, b: 17}.\nAnswer: 4\/285","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -8.54 - -8.74. What is the closest to n in 5, 39, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by 288?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = u**2 + u + 3. Let a be h(-2). Suppose -2*r = 2*r - 48. Suppose -a*s + 2*m = -17, -2*m + 0 = -4*s + r. What is the units digit of s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 2010 divide 2064850810?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = 83340*g. Let v(c) = -c + 13. Determine v(k(f)).\nAnswer: -83340*f + 13","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 366127 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -15*t**2 + 9*t - 11. Let y(x) = -x**2 + 32*x - 244. Let p be y(17). Let l(v) = 8*v**2 - 5*v + 6. What is p*l(m) + 6*d(m)?\nAnswer: -2*m**2 - m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 1, l: 5, u: 3, e: 1}. What is prob of sequence uell?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 10201200 (base 4) in base 16?\nAnswer: 4860","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 243, -125, -739, -1599, -2705?\nAnswer: -4057","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*m + 14 = -4*m - 2*l, m - 5*l + 20 = 0 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:28 AM and 4:31 PM?\nAnswer: 303","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1\/16 - 7\/16. What is the closest to h in -64, -0.1, 13?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4830280 by 603785.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*l = -25*l + 144. Solve -b - 27 = -5*r, -3*b + 2 = -l*b for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m = 9 - 21. Let s = 0.1 + -0.1. Let w be (-3)\/1 + 63\/42. What is the closest to -1\/4 in m, w, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 0.03, 66\/19, 3\/4, 2, 2\/3 in ascending order.\nAnswer: 0.03, 2\/3, 3\/4, 1, 2, 66\/19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 30 + -29.5. What is the third biggest value in 2, a, 1?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ppqpphhhkkqpkkp. What is prob of picking 1 p, 1 q, and 2 h?\nAnswer: 12\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.4, 187, 2\/5, 80?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*j + 2 + 10. Sort -1, j, 8 in descending order.\nAnswer: 8, j, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3 + 1. Let d be 5 - (8\/4 + o). Calculate the common denominator of -52\/9 and ((-22)\/(-8) - d)*(-34)\/(-3).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -8.1907597 to 1 dp.\nAnswer: -8.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*r**2 - 844*r + 842.\nAnswer: 2*(r - 421)*(r - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -231 + -2233303?\nAnswer: -2300200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -28174, -28127, -28048, -27937, -27794, -27619?\n\"Answer: 16*y**2 - y - 28189","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -4 - -8. Suppose -o*m - 4*h = -48, 4*m + m - h - 36 = 0. List the prime factors of m.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-5 - (4 + -8))*(-8)\/2. Suppose 3*c + 77 = -a*l, -4*c + 9*c + 70 = 5*l. Let d = -131\/7 - c. What is the fourth biggest value in -4, 1\/5, -5, d?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) be the third derivative of -v**4\/4 - 19*v**3\/3 - 3*v**2. Let u be a(-8). Suppose -4*n + 5*n - 2 = 0. Calculate the greatest common factor of n and u.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -491 - 3*p - 525 - 524 + 2070 - 530.\nAnswer: -3*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (6\/4)\/(3\/4). Suppose -m*b - 60 = -h + 121, 548 = 3*h - b. Is h a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(1 + 4 + 2*sqrt(10)\/sqrt(2)).\nAnswer: 4*sqrt(5) + 10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -15355740 - 4.\nAnswer: -15355744","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -146 divided by -11.\nAnswer: 146\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = z**2 + 2*z**2 + 2*z**2. Let d(f) be the second derivative of -f**4\/4 - 49*f. Determine d(h(c)).\nAnswer: -75*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q + 17 = 4*a - 6, 0 = 5*q + 4*a - 33. Let l = 5 - q. Solve l*k + 2*k = 3*s + 12, 2*s + 4*k - 8 = 0 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (221\/91 - 8) + (-6)\/14.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*s + 12*a = 52, 7962*a - 7959*a = 12 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1\/13609 + 911787\/217744. What is the common denominator of b and ((-67)\/18)\/(4\/(-6))?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-five halves of a millimeter in micrometers?\nAnswer: 27500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of -2 + (-4 - -1) + 1651 + -8?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 125 and 8000?\nAnswer: 125","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -22*q - 9822411 + 9822411.\nAnswer: -22*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 126671*q*u*w - 6*q*w**2 + 7*u*w**3 - 47*w**3 wrt w.\nAnswer: -12*q + 42*u*w - 282*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = 2*l**2. Let s(y) = 14159692*y**2. Calculate s(h(q)).\nAnswer: 56638768*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 110527 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 9.89 - 8.89. Suppose -2*f = -3*f, i - 5*f + 2 = 0. Which is the closest to z? (a) 2\/7 (b) i (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -368, -2506, -8098, -18836, -36412?\nAnswer: -62518","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*l - 4*l = -6*l. Suppose h + 2*h = -z + 44, -2*h + 4*z + 48 = l. Calculate the least common multiple of (-5)\/((-2)\/(-4) - 1) and h.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -5 - -7. Differentiate -1 + a**2 - 3*a**p + 0*a**2 wrt a.\nAnswer: -4*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 38\/2755*725\/(-125)?\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = 12*u**2 + 27*u - 11. What is the thousands digit of g(-11)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.3 - 0.1. Let t = 9.9 + -10.52. Let p = 0.22 + t. What is the closest to 0 in p, 13, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 29 - 25. Solve 0 = -d*b - 1 + 21 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -4*p**3 - 2. Calculate the smallest common multiple of a(-2) and 2.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1100001101011011 (base 2) in base 3?\nAnswer: 2112121021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1601 + -1033. List the prime factors of w.\nAnswer: 2, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*a**2 - 4*a**2 + 0*a**2 + (2 - 2 + 2*a**2)*(-1 + 0 - 1) + 3*a**2 + 4*a**2 - 6*a**2 - 7 - 10*a**2 + 7 to the form n + i*a + y*a**2 and give y.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -65*i + 504 = -44*i. Let b be -3 - (-3 - -1) - -26. Solve -b*j - 3 = -i*j for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 39 + 22195?\nAnswer: 22223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 57 = -2*x + 5*x. Is x a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 13*g + 44 - 44 as d + k*g and give k.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -0*u - 2*u + 4*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 175170007?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (9\/6)\/(2\/(-4)). Let z = -4 - i. Let x(u) = u**2 + 88*u - 27653. Let w be x(128). Put w, z, 5 in increasing order.\nAnswer: w, z, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g - 5*n = -3 + 28, 0 = -g - 3*n - 8. Put g, 4, -1 in descending order.\nAnswer: 4, -1, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-14)\/3)\/(2\/6). Let b = f - -14. Suppose b = r + 3*m - 34, 4*r - m - 171 - 17 = 0. What is the remainder when r is divided by 12?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -153*m + 7137905 = -24*m + 2128964. What are the prime factors of m?\nAnswer: 3, 7, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6475260?\nAnswer: 2, 3, 5, 11, 9811","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 32221933 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor u**3\/7 - 102988*u**2\/7 + 11206963*u - 14994842958\/7.\nAnswer: (u - 102222)*(u - 383)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.53515801 to four decimal places.\nAnswer: 0.5352","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4046820941.\nAnswer: 31, 130542611","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of (-4361356)\/(-1246) + 2\/(-7)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 78*d + 39 + 51 - 90 to the form h + s*d and give s.\nAnswer: 78","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2755 in 0.5, 2, 16?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (68\/(-4556))\/((-5)\/((-75)\/10)*3\/6).\nAnswer: -3\/67","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -14*q**2. Suppose c + 4*h - 5 = 0, 4*c + 11*h - 12*h = 37. Let m(k) be the first derivative of 0*k + c - 3\/2*k**2. Calculate m(s(t)).\nAnswer: 42*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -110, -91, -70, -47, -22?\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Are -311 and -307 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 962437.8ml?\nAnswer: 962.4378","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1\/(-1)*-1 - -3. Suppose -u*r = g - 37, g + 0*g = -2*r + 17. What is the greatest common factor of r and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:23 AM and 3:11 PM?\nAnswer: 468","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*v = 6 - 11 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -139\/341916 and -31\/9.\nAnswer: 1025748","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 90687565.\nAnswer: 5, 18137513","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = 3*r + 26. Let j be x(-7). Suppose n - 290 = 4*v, 6*n - j*v - 295 = 5*n. Suppose 4*k = 2*p - n, 5*p - 711 = k - 3*k. Is p prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s - 2*r = 34, -2*s - 5*r = -0*r - 113. Let n be (-4 - -1)\/((-21)\/14). Suppose 2*l + n = s. Calculate the remainder when 62 is divided by l.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3 - 3 + 5*u - 3*u + u + 0*u + (u + u - 3*u)*(1 + 2 - 2) + (-u - u + 0*u)*(4 - 4 + 2) - 6 - 9*u + 6 in the form k + s*u and give s.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -1232206 rounded to the nearest one hundred thousand?\nAnswer: -1200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 1461189 a multiple of 361?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xxqqjxqxxqqxxxxxi. Give prob of sequence xx.\nAnswer: 45\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -2 - 211?\nAnswer: -213","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w**(-2\/3)\/w*w**(1\/14)\/w)**(-25))**(8\/3))**(-2\/37) assuming w is positive.\nAnswer: w**(-21800\/2331)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -r**2 + 22*r - 10*r**3 - 22*r wrt r.\nAnswer: -60","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -z. Let n(m) be the third derivative of -m**4\/4 - 8*m**2. Give -16*d(j) + 3*n(j).\nAnswer: -2*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 63*c - 65*c. Solve 0 = 5*n - 5, -n = 3*v - c*n - 13 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 801?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 4.4 + -2.5. Let w = -1.1 - n. Let p be (21\/140)\/((-12)\/(-16) - -3). Which is the fourth biggest value? (a) -4 (b) p (c) w (d) -2\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 66\/18*(-369)\/(-41)\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (5*(3 + 1*(2 + 1 + sqrt(117))*1))**2.\nAnswer: 900*sqrt(13) + 3826","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -4.2 - -5. Let m = -0.80001 + p. Round m to four dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 38 + -24. What is the lowest common multiple of 16 and l?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14436?\nAnswer: 2, 3, 401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 64\/(-90)*(3 + 19\/(-3)) and 61\/33?\nAnswer: 297","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-1)\/(-2)*4\/(-6). Let a = -125.8 - -123.8. Sort b, -2\/19, a, 5 in descending order.\nAnswer: 5, -2\/19, b, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 26295.47 centimeters to nanometers.\nAnswer: 262954700000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -o**3 - 3*o**2 + 3*o. What is s(-3)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -1589*a**3 - 2*a**2 + 2. Let v(d) = 6354*d**3 + 9*d**2 - 9. Give 9*q(j) + 2*v(j).\nAnswer: -1593*j**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 2952956296 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: Calculate the highest common factor of 48144 and 8976.\nAnswer: 816","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -9*p**3 + 8*p**2 + 5*p + 7. Determine j(-3).\nAnswer: 307","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -4349*t + 3. Let u(q) = 2895*q - 2. What is 8*u(l) + 5*y(l)?\nAnswer: 1415*l - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 34068?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = f + 7. Let p = -45 - -40. Let n be h(p). Suppose d + 3*j - 129 = 4*j, j = n*d - 260. What is the units digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4*(sqrt(121) + (sqrt(121) - (sqrt(121) - sqrt(121)*-1))))\/sqrt(11) + -1 + 0 + (1 + sqrt(11) - sqrt(11)) + sqrt(11) + sqrt(11) + 5)**2*6.\nAnswer: 120*sqrt(11) + 414","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11200 is divided by 63.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 27163069?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-11)\/(-3) + 2\/6. Let l(y) = 10*y**2 - y + 3. Let v be l(0). Suppose 0 = -h + j*h - v. Which is smaller: h or 3?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -76387, -152776, -229165, -305554, -381943, -458332?\n\"Answer: -76389*k + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a - 11 = -2. Let p = a - -11. What are the prime factors of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) be the third derivative of n**4\/24 + n**3\/6 - n**2. Let o(a) = -3*a - 3. Let s be (3\/(-12) - 77\/44) + -3. Determine s*j(k) - 2*o(k).\nAnswer: k + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -714 or -716?\nAnswer: -714","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 157753\/72 - 2191. Let a(g) be the second derivative of -1\/4*g**2 + 0 - 1\/9*g**3 - t*g**4 - 12*g. Let a(c) = 0. What is c?\nAnswer: -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 17355960?\nAnswer: 2, 3, 5, 37, 1303","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:03 AM and 2:23 AM?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6 + 10 - (212 + -183).\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c - x - 11 = 0, -c = -5*c + 5*x + 31. Let g be 45\/6*20\/25. What is the third derivative of 6*u**c - g*u**4 - 4*u**2 + 5*u**2 - 2*u**6 wrt u?\nAnswer: -240*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 724, 2885, 6488, 11533, 18020?\n\"Answer: 721*i**2 - 2*i + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (4 + i - 4)*(208*i - 78*i - 104*i**2 + 95*i**2) as t + m*i**3 + u*i**2 + w*i and give u.\nAnswer: 130","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + sqrt(147))*-6 + -5 + 1*(0 + sqrt(147) + -4) + -2.\nAnswer: -35*sqrt(3) - 17","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d - 1 - 3 = 0. Suppose 16 = o + 3*o, 4*z + 12 = -o. Let j = 7 + z. Put d, 4, j in decreasing order.\nAnswer: 4, j, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = 5*o**3 - 1361*o**2 + 315*o - 11705. Calculate n(272).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 5717 + 63?\nAnswer: 5781","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -2, -4\/7, 5, 258\/7, 4 in decreasing order.\nAnswer: 258\/7, 5, 4, 1, -4\/7, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 56210?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 39 = 2*b + 3. Is 8 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -52*p**2 - 35. Let v(j) = 22*j**2 + 3. Determine x(v(c)).\nAnswer: -25168*c**4 - 6864*c**2 - 503","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -305.85265 rounded to the nearest one hundred?\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 42*k**4*m + 5235*k**4 - 16*k*m + 2*k + 5*m wrt k?\nAnswer: 504*k**2*m + 62820*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*u\/u**(-7\/3))\/(u**29*u*u) assuming u is positive.\nAnswer: u**(-80\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-1\/5)*d**(-1\/3)*((d*d**0)\/d)**6)\/((d**(-1\/3))**(-1\/27)*(d\/d**(-3\/5))\/d**0) assuming d is positive.\nAnswer: d**(-869\/405)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = 5*g - 9. Let j(f) = -f - 1. Let r(s) = -i(s) - 4*j(s). Let q be r(8). Suppose -q*m + 41 = -254. Is m prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 11680 and 564800.\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 4697 divide 1374844779?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1306 and 306?\nAnswer: 199818","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*d = -u - 14, -3*d + 12*u = 13*u - 14 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 444 and 24666.\nAnswer: 1825284","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2*(-1310)\/(-20)*42?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13 + 44 = 3*u - 41 for u.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(-6*(sqrt(931)*-1 - sqrt(931) - sqrt(931))**2*-6 + 2).\nAnswer: 301646","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.2 + -0.6. Let g = -0.13 + 0.23. Which is the closest to g? (a) -3 (b) 3 (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -x + 9. Let y be f(5). Let n(l) = 4 + 3*l**2 + 2*l**2 - 8*l + 4*l - l**3. Let r be n(y). What is the highest common factor of 40 and r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 38? (a) -14 (b) 15 (c) -353 (d) 1\/5 (e) -2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 1, s: 1, g: 1, r: 1, y: 1}. What is prob of sequence zg?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -6.12 + 6. Let o = b + 0.12001. Round o to 4 dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -1 - 5*f**2 + 4*f + 0*f**3 + 10*f**2 + f**3 - 2. Give x(-4).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -457623482139 less than -148?\nAnswer: 457623481991","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -m**3 - m**2 + m + 3. Let c(u) = 643*u**3 + 6*u**2 - 78*u - 9. Let r(f) = c(f) + 3*g(f). Find the third derivative of r(h) wrt h.\nAnswer: 3840","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -2, -829, -4 in increasing order.\nAnswer: -829, -5, -4, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = 13*b. Let w(j) be the third derivative of -j**5\/60 - j**4\/12 - 592*j**2. Calculate w(t(q)).\nAnswer: -169*q**2 - 26*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xxlx when four letters picked without replacement from {l: 6, x: 3, p: 4}?\nAnswer: 3\/1430","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) be the second derivative of 11*x**4\/12 - 238*x. Let g(d) be the second derivative of d**4\/12 - d. What is g(y(s))?\nAnswer: 121*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 28 a factor of 3108?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 103.47 - 147.4. Let f = 44 + u. Which is the nearest to -1? (a) f (b) 0.1 (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 6\/17 - 1\/51. Let k(t) = -8*t**3 - 2*t**2 + 1. Let h be k(-1). Let o = 12 - h. Which is the second biggest value? (a) g (b) o (c) 2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = x**2 - 3*x + 4. Let m be f(3). Suppose -m*o = -283 - 225. Is o composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -199\/16380 and -109\/939120.\nAnswer: 2817360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v - 3*u - u + 35 = 0, u + 4 = -3*v. Let x be 5*((-9)\/v - 1). Let t(n) = -x - 8*n + 9 + 0*n. Let l(a) = 9*a + 1. What is 6*l(r) + 7*t(r)?\nAnswer: -2*r - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-1 - -1) + (58 - -12). Suppose -5*s = q - i, 2*s - 90 = -3*q + 107. Let b = -10 + q. What is the units digit of b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -345 * -348491.\nAnswer: 120229395","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 5, -45, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 20 + (-24 - -34 - -3) - 15.\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*i**3 + 5*i**3 - 5*i**3)*(-3*i - 4*i + 5*i)*(8 - 1 - 1) in the form k*i + f*i**2 + z*i**4 + y*i**3 + w and give z.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 64028, 127715, 191392, 255053, 318692, 382303?\nAnswer: 445880","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -23*w - 1. Let u be i(-1). Let l(c) = 2*c**3 - 4*c**2 - 4*c - 4. Let p be l(4). What is the greatest common factor of u and p?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express ((-134 - 144 + 189)*(-11*d + 4*d - 9*d) + 2*d - 4*d + 0*d)*(-d - 4*d + 4*d) in the form n*d**2 + g*d + w and give g.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 0 - -430332232002?\nAnswer: 430332232002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:48 PM and 12:44 AM?\nAnswer: 176","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a + 18 = 2*k, 3*a + 6 + 3 = 0. Suppose 5*r - 25 = 5*g, -4*r = -g + k*g - 8. Calculate the remainder when 4 is divided by r.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -4 + 12. Calculate the lowest common multiple of x and 1*11*2\/2.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/(-4)*-2*(-810)\/324.\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 274*x - 22032 = 240*x. Which is bigger: x or -0.3?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -170 + 175. Suppose v*i - 340 = -5*z, -i - 2*z - z = -72. Calculate the greatest common divisor of 88 and i.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 452 is divided by 114?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 17\/3 + -329\/57. Which is the closest to -2? (a) y (b) 7 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*v = 119490 - 119775 for v.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2*m**3 - 10634*m**2 - 71*m - 33425111 wrt m?\nAnswer: 6*m**2 - 21268*m - 71","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = j + 8. Let i(f) = 5*f**2. What is i(n(h))?\nAnswer: 5*h**2 + 80*h + 320","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -101110001011011 - 10100110?\nAnswer: -101110100000001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1.776618ml to litres.\nAnswer: 0.001776618","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10895412 (base 10) to base 4.\nAnswer: 221210000310","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*s = r + 18, -12 + 22 = -s - 3*r for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000006039 to 7 decimal places.\nAnswer: -0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 - (-12 - -5 - -1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 4 + y**3 - 4 + (-2*y - y**2 + 2*y)*(-4*y + 3*y + 0*y) - y**3 + 0*y - 38*y - 52*y**2 + 50*y + 2 as w*y**2 + j + m*y**3 + h*y and give h.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = 29*n + 118. Let f be w(-4). Suppose -3*t = -t + 5*m + 7, 4*t - f*m = 22. Solve 2*u + 0*g - 3*g - 19 = 0, 13 = 5*u + t*g for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:40 PM and 1:47 PM?\nAnswer: 67","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1090 + 752. Let f = -319 - t. What are the prime factors of f?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17377 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j - 4*j = -135. Let q be ((1 - 2) + 2)*4. Solve -5*p - 6 = l + l, -j = q*p + 5*l for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -979879, -979555, -979231, -978907, -978583, -978259?\n\"Answer: 324*d - 980203","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-5440)\/(-112))\/(4\/14). Which is the closest to t? (a) -1\/8 (b) 5 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6\/9*-77*(-177)\/(-826)\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -32.37 + 0.37. Let f = z + 35. Which is the nearest to -1\/4? (a) 0.1 (b) f (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 905 to the power of 1\/2, to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Work out -85525303 - -57.\nAnswer: -85525246","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + -3*sqrt(12) + (sqrt(147) - sqrt(147)*-3) + 0.\nAnswer: -3 + 22*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + sqrt(8) - (sqrt(72) + -3 + sqrt(2))**2 - sqrt(10)\/(sqrt(10)\/sqrt(8))*4.\nAnswer: -108 + 36*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*g**3 + 79916*g**2 - 798320882*g.\nAnswer: -2*g*(g - 19979)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 + 3 + -10 - (13 - 14)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*j**2*l**3 - 2*j**2*l - l**4 + 240*l**2 + 148 wrt l.\nAnswer: -12*j**2*l - 12*l**2 + 480","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3361287, 3, -2\/13.\nAnswer: -3361287, -2\/13, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (2 - 6923140\/(-12))*18. Let a = 217865426\/21 - r. Let y = a + 10205. Calculate the common denominator of y and 73\/3.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10865*o - 7116*o - 323658 = 0 for o.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = 4*f - 3. Give g(-11).\nAnswer: -47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 696, 398, 86, -240, -580?\nAnswer: -934","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -30\/59 - -748\/1239. Let y be (2\/(-3))\/(-8 + 12). What is the closest to y in -2, c, 1\/6?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 5450, 5451, 5456, 5465, 5478?\n\"Answer: 2*l**2 - 5*l + 5453","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -208*r + 212*r + 12 = 0 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put together -5820593687 and -0.0094.\nAnswer: -5820593687.0094","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -2*s - 1. Let a be g(-2). Suppose a*o - 4*o + 40 = 0. Suppose 0 = -3*j - 2*j + o. What are the prime factors of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 54022+0.3\nAnswer: 54022.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k = -2*x + 2, -3*k + 4*k - 3 = 2*x. Let g be (4 + 4)*1*x. What are the prime factors of (76*g\/(-40))\/(2\/20)?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-27*(-7)\/(-126))\/((-15)\/(-6)).\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 0.2 * 445\nAnswer: 89","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 3092 divided by -4775\nAnswer: -3092\/4775","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s + 7 = -4*s. Suppose -5*m - j = -25, 2*m + m = j + s. What is the least common multiple of 16 and m?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*r - 64*z - 10 = -69*z, 2*r = 2*z + 16 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 8 - 5. Suppose 5*x - 2 = g. Suppose 2*q = 4*q - 4. What is the remainder when q is divided by x?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -707 + 714. Suppose -2*w = 5*l - 2361, -12*w - 5*l = -b*w - 5880. List the prime factors of w.\nAnswer: 3, 17, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -63*y + 5. Let p(n) be the third derivative of -n**5\/30 - 70*n**2 - 5*n. Calculate r(p(t)).\nAnswer: 126*t**2 + 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) be the first derivative of 1\/2*g**2 + 1\/4*g**3 - 2 - 1\/40*g**5 + 0*g**4 + 2*g. Let p(z) be the first derivative of d(z). Suppose p(w) = 0. Calculate w.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-nine fifths of a minute in seconds?\nAnswer: 708","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*v + 6*v**2 - 5*v + v - v + v**2 + (-4*v + 5*v - 4*v)*(v - 3*v + 3*v) as a*v**2 + j + i*v and give a.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*t - 3 = -103. Suppose 4*f = 10 + t, -4*f = -u - 3. Suppose 0 = -u*y + 20*y - 477. What is the tens digit of y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1786 + -1784. Let b(f) = -40*f**2 + 884 - 883 + a*f**2. Let u(v) = -v - 1. Let p(j) = -4*j - 2. Let q(y) = -p(y) + 2*u(y). Determine b(q(c)).\nAnswer: -152*c**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = m - 4. Give q(5).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.14 + -0.24. Let m = -0.3 - -0.2. What is the closest to m in -5, s, -1\/3?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10 - (2 + (22 - 11)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 1301000 to the nearest 100000.\nAnswer: 1300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-14)\/(-6 + 4) + -4. Suppose -3*m + 11 = o, m + 0*o + v = o. Solve -3*u + 12 = -3*t, -m*t = 5*u - 21 + 1 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z - 33 = -3*v - 0*z, 5*v + 5*z - 75 = 0. Let i = v + 44. Calculate the highest common factor of 7 and i.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 78835 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -77 - 71 + 281 - 88 - b to j*b + k and give j.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 0 + (-6 - 0) + 1\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*z + 2*z + z - 46 - 17*z + 46 + (-5 + 3 + 0)*(2*z + 3 - 3) - 2*z - z + 4*z + 5 - 2*z - 5.\nAnswer: -21*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -20, 125, 0.4, -0.5?\nAnswer: 125","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 41 - 11 = -5*f. Suppose x = -n - 6, 2*n = 5*x - x - 30. Does 10 divide (-3)\/n + (-118)\/f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i*i**(2\/9)*i**(-1)\/i*i)**32)**(-6\/5) assuming i is positive.\nAnswer: i**(-128\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 5 divided by -6445\nAnswer: -1\/1289","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 21161 (base 7) in base 3?\nAnswer: 21011222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 134 + -70. Is y a multiple of 32?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*k**2 + 316688*k - 6268205584.\nAnswer: -4*(k - 39586)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -380846, -380847, -380848, -380849, -380850, -380851?\n\"Answer: -q - 380845","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 78 a factor of 18018?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-178)\/(-8) + ((-1680)\/(-192) - 10). Solve s*o + 20 + 22 = 0 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -423 divided by 11878.\nAnswer: -423\/11878","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (10 - -43) + (-12)\/3. Find u such that -q*u**3 - 5*u**4 + 6*u**4 + 58*u**3 - 9*u**2 - u**5 = 0.\nAnswer: -3, 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 16759 to the power of 1\/2, to the nearest integer?\nAnswer: 129","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:56 AM and 12:13 PM?\nAnswer: 317","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-4)\/170)\/(2\/(-30)). Let v = b - 52\/51. What is the third biggest value in v, 2\/9, 1?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (85239\/(-7749))\/(1067\/1).\nAnswer: -1\/97","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = g**3 + 7*g**2 - 3*g - 44. Let u be z(-6). What is the common denominator of 3 and (-407)\/(-30) - 4\/u?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (38\/3)\/(6 - (-124)\/(-21))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 16 - -212?\nAnswer: 228","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -51\/65 and 55\/104?\nAnswer: 520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kkkkfksfffkkk. What is prob of sequence ks?\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3014?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -11 + 0 + (395 - 382)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000796555 rounded to 4 decimal places?\nAnswer: -0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is -2 - 3\/((-12)\/44) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1688977\/251 - -6729. Let i = 749\/502 + k. Factor 0*l**3 - 3\/4 - 3\/4*l**4 + i*l**2 + 0*l.\nAnswer: -3*(l - 1)**2*(l + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 602469823 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/(-15) - (-3 - (-339)\/45*1)?\nAnswer: -14\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 13 + (-3)\/1 + (-4)\/(-2). Let p(k) = 2857*k + c*k**2 - 2857*k. Let y(l) = 8*l - 12*l + 6*l. Determine y(p(q)).\nAnswer: 24*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -32*q - 1. Let n be h(-1). Let u = n + -31. Solve -3*k + 6 = -u for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4.824 + 714.\nAnswer: 718.824","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 121240.\nAnswer: 2, 5, 7, 433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-16)\/154)\/1)\/(980\/588*(-3)\/35)?\nAnswer: 8\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19 = -2*o - 2*y + y, -y + 51 = -5*o. List the prime factors of (-6)\/o - 1161\/(-15).\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -255*q**2. Let w(f) = -2889*f**2 - 2884*f**2 + 5768*f**2. Determine p(w(v)).\nAnswer: -6375*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 70.1791 - 70.86. Let p = m - -0.725. What is p rounded to two decimal places?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*i + 0*i + 2*i + i**4 + 8 + 2*i**2 to n*i**4 + s*i**2 + g + h*i + d*i**3 and give g.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put 37, -0.237, -0.9917 in decreasing order.\nAnswer: 37, -0.237, -0.9917","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 94\/7 + -1236\/91. Suppose -h - 3 = -4. Suppose -4*a + 3*r - 2*r + 2 = 0, 0 = 3*a - 2*r + h. Which is greater: a or p?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -583, -585, -589, -595?\n\"Answer: -f**2 + f - 583","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -25175259 divided by -932417\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 22921 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -o**3 + 3*o**2 - 4*o + 1. Let f be s(5). List the prime factors of ((-4)\/6)\/(2\/f).\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**(1\/13)*t)\/t*t*t**1*t)**(-22)*(t**8\/t**7)\/(t**(4\/9)\/t**7) assuming t is positive.\nAnswer: t**(-7036\/117)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.005955825 rounded to 4 decimal places?\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 - (2 + 3 + -10)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2401?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00003743 rounded to 6 decimal places?\nAnswer: -0.000037","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -672432, -1344866, -2017300, -2689734, -3362168, -4034602?\nAnswer: -4707036","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/3 in -0.01, -0.2, 47, -3?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1386\/20*602 - (-16)\/40 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -o**3 - 14*o**2 - 17*o - 16. What is q(-13)?\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i = 2*l - 36, -4*l + 22 = i + l. Let o(b) = -b**2 + 17*b + 4. Determine o(i).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -m**3 + 7*m**2 + m. Let f(o) be the first derivative of o**2 - 7*o - 1. Let n be f(7). What is the remainder when 13 is divided by j(n)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3921.614ml in litres?\nAnswer: 3.921614","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 15727 + b9?\nAnswer: 15824","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-44)\/33 + 9*25\/(-75).\nAnswer: -13\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((0 + 0 - 1)*(-5 + 2 + 5) + 252 + 328 + 187 - 3 + 4 - 3)*(3*b - 3*b + b + (-1 + 1 - 2*b)*(1 - 1 + 1)) to s*b + j and give s.\nAnswer: -763","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 56116053 to the nearest integer?\nAnswer: 7491","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*z - 14*z - z to the form o*z + s and give o.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) be the first derivative of -67 + 1\/3*a**3 - 17*a + 17\/2*a**2. Calculate f(-18).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/40 of a kilometer in centimeters?\nAnswer: 7500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 9613428 by -1474.\nAnswer: -6522","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -29013 or 3\/5?\nAnswer: -29013","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -6 - -dc66d9?\nAnswer: dc66d3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 17182 + 70925. List the prime factors of b.\nAnswer: 3, 43, 683","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 135456*c**2*h**2 - 2*c + 2*h**2 + 28911*h wrt c?\nAnswer: 270912*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -1818 + 0?\nAnswer: -1818","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 + 0*g**3 + g**3 + 0)*(1 - 1 + 4)*(-10 - 12*g + 10) to the form u*g**3 + r + a*g**2 + z*g**4 + j*g and give z.\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*j + 1310 + 0*j + 5*j + j + 2*j**3.\nAnswer: 2*j**3 - j + 1310","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -20 + 53. 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 remainder when 782 is divided by 39?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 193472214 from 9.4.\nAnswer: -193472204.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -28*r + 73408 + 181644. What is the thousands digit of r?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-22*(-16)\/1232)\/((-8)\/(-28)*6).\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 1, o: 2, j: 1}. What is prob of picking 1 j and 1 o?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1 - 7\/5. Which is the closest to q? (a) -5 (b) 4 (c) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4723614689 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.073 (b) 10 (c) 4\/1083\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 109840 and 11280?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 419 minutes after 10:41 AM?\nAnswer: 5:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = w + 3*v + 2*v - 16, 20 = 4209*w - 4214*w - 5*v for w.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*s - 7 = 6 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*f + 4*x - 32 = -40, -f + 3*x = -6 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = 28*m**2 + 5*m + 3. Let y be 1*(34\/102 - (-8)\/(-6)). Let c(g) = -g**2 + g + 1. What is y*t(u) + 3*c(u)?\nAnswer: -31*u**2 - 2*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w - 16 = 2*w. Let o = w + 8. List the prime factors of o.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 14 and 572.\nAnswer: 4004","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 630, 612, 594, 576, 558?\nAnswer: 540","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -14000 divided by 640.\nAnswer: -175\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1.5 - -1.528. What is q rounded to two dps?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1531141004?\nAnswer: 2, 23, 16642837","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -3*x**2. Let u = 0 - -2. Let z(o) be the first derivative of -1 - 2*o**2 - 3 + 5 + 3*o**u. What is y(z(n))?\nAnswer: -12*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 39955751 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: Evaluate 9*(-77)\/(-63) - 5.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 104221204 (base 5) in base 6?\nAnswer: 13513204","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = 4*y - y**3 - 2 - 3*y**2 - 5*y - 1. Let k be u(-3). Suppose 4*o + 10 - 94 = k. What is the highest common factor of 7 and o?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (629 - 2) + 16 + -13. What is the second derivative of 24*l**2 + 630 - q + 23*l wrt l?\nAnswer: 48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -14706 by 4902.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in 0, 6, -3, -0.5?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dds when three letters picked without replacement from {s: 2, d: 8}?\nAnswer: 7\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -8 and 0.086.\nAnswer: -0.688","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) be the third derivative of -19*m**5\/10 - 205*m**3\/6 - m**2 + 4*m. What is the derivative of u(s) wrt s?\nAnswer: -228*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0, -984, 1, -1, 31, 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = 3*g**2 + 2*g - 9. What is the lowest common multiple of c(-4) and 3?\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = 3*a**2 + 2. Determine q(2).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = 312*r**2. Let k(l) = 7*l + 6. Let z(h) = -12*h - 10. Let b(d) = -5*k(d) - 3*z(d). What is q(b(w))?\nAnswer: 312*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (3 - 5 - 0) + 16\/2. Let x(n) = 2*n**3 - 9*n**2 - 9*n + 2. Does 14 divide x(s)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + p + 18 = -s, 2*p = s - 1. Suppose 3*w - 2*y - 3*y - 12 = 0, 0 = w - 3*y - 4. Let c(a) = 4*a - 1. Let b be c(w). Solve s*z - 2*z = b for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 261 (base 16) in base 14?\nAnswer: 317","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 2 divided by 256435\nAnswer: 2\/256435","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert -679bc (base 13) to base 12.\nAnswer: -91059","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 i when two letters picked without replacement from uwwiiu.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.3 + -0.15. Let z = r - 0.1504. What is z rounded to three dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1561996.535893 - -1561995. Let a = -115.534913 - l. Let h = 114 + a. What is h rounded to four dps?\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**4*x\/(x\/(x*x*x**(2\/25)*x)*x*x)*x**(2\/27)\/x**(3\/5))**(-2\/45))**(8\/3) assuming x is positive.\nAnswer: x**(-49184\/91125)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b + 7*b - 19050 = 0. Suppose -9*r + b = -4*r. Is r composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 2\/1233 and 41\/1096.\nAnswer: 9864","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 16237 is divided by 2014.\nAnswer: 125","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 54683 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(243)\/(sqrt(9) + sqrt(9) + sqrt(9)*2) - ((1*sqrt(24))\/sqrt(8) + sqrt(3) - (sqrt(3) + sqrt(3) + -1)*3)) + -3.\nAnswer: -6 + 19*sqrt(3)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.99161 litres in millilitres?\nAnswer: 5991.61","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 63\/253436 and 167\/840?\nAnswer: 53221560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 20603.\nAnswer: 11, 1873","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i and 1 b when two letters picked without replacement from {b: 4, u: 6, t: 7, i: 1}.\nAnswer: 4\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n and 1 q when two letters picked without replacement from novvonnoooodqoodvvbn?\nAnswer: 2\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = r - 2. Let p = -107 + 111. Let h be j(p). Let 0 + 4\/7*q**h + 8\/7*q = 0. What is q?\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**0\/r)**(-17)*(r*r**(-2\/3))**(1\/16))**(-8\/13) assuming r is positive.\nAnswer: r**(-817\/78)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert -438581 (base 9) to base 3.\nAnswer: -111022122201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 295.5883 weeks in days?\nAnswer: 2069.1181","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -q**3 + 2*q**2 + 3*q + 1. Let p be z(-1). What is the lowest common multiple of 10 and (-6)\/9*p + (-308)\/(-12)?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.059 times -30?\nAnswer: 1.77","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 45669 + 53850 = 199*i + 1685*i + 147*i for i.\nAnswer: 49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = 13*g**2. Let a(x) = -811*x**2 + 400*x**2 + 403*x**2. What is h(a(l))?\nAnswer: 832*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1350140.\nAnswer: 2, 5, 11, 17, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -248645*n**3 - 7503950*n**2 - 39248885*n - 56966520.\nAnswer: -5*(n + 24)*(223*n + 689)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1 + 1010111101110110?\nAnswer: 1010111101110111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 24\/21 + (-2 - 8 - -10).\nAnswer: 8\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 32 - 19. Let u = x + -8. Let y be -3 - (-3)\/(45\/43). What is the second smallest value in y, u, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -273027.9 times 44\nAnswer: -12013227.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -289*a - 642*a + 13032 = -113*a - 94*a for a.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 96?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 53\/14048 and -93\/35120.\nAnswer: 70240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 128 minutes before 11:01 PM?\nAnswer: 8:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*c - 0*c + 118. What is the units digit of c?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 171\/1596*4*350\/(-18).\nAnswer: -25\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1648493750 and 6250?\nAnswer: 6250","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -7503*n**2*s**2*w + 31*n**2*s*w**2 - 2*n*s*w**2 - 4056*n*w**2 - n*w - 2*s**2 + 5*w**2 wrt n.\nAnswer: -15006*s**2*w + 62*s*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 13703940 rounded to the nearest 1000000?\nAnswer: 14000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1606*j - 3*j**3 - 1858*j - 1607*j + 5071*j + 5*j**3 - 4*j**3.\nAnswer: -2*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -87 + 7 = 4*s + 5*h, 4*h - 66 = 2*s. Let b = 10 - s. Is b prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5 times -2389.91?\nAnswer: -1194.955","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 153\/(-68)*2\/3\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-6*(sqrt(72) - (-3 + (sqrt(2)*-3 + sqrt(2) - sqrt(2)))) + 4)*1)**2.\nAnswer: 1512*sqrt(2) + 6028","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2.895 + -0.105. Let w = 49.07 - -0.93. Let u = 49.9 - w. What is the nearest to u in -1.7, a, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-114)\/(-1254) - (2424\/(-440) + (-10)\/(-25))?\nAnswer: 26\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h*h\/(h**13*h))\/h)**21\/((h**6*h)\/(((h\/h**(-30))\/h)\/h)) assuming h is positive.\nAnswer: h**(-251)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 - 5 = -z - 4*i, 6 = 3*i. Solve 0*a - 2 = -z*a for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -p + 15 = -5*b + 2, -p + b = -5 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2*z**3 - 4*z**2 - 9*z - 13964.\nAnswer: -6*z**2 - 8*z - 9","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -13286, -53146, -119574, -212564, -332110, -478206, -650846, -850024?\nAnswer: -1075734","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 262431 is divided by 687?\nAnswer: 684","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 50 + -78. Let h = 27.7 + y. Sort -0.2, h, -1, -3\/5.\nAnswer: -1, -3\/5, h, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 6496913 to the nearest integer?\nAnswer: 187","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is b3 + -3b6?\nAnswer: -303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*t - 21 + 7 = 0. Let h be -4*(-2)\/t - -3*2. Solve 6 - h = -4*j for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7*-3073510.\nAnswer: 21514570","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -6, 2, 24, 66, 134, 234?\nAnswer: 372","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = 4*f**2 + 7*f + 4. Let u(t) = 9*t**2 + 13*t + 8. Let l(v) = -5*a(v) + 2*u(v). Solve l(i) = 0 for i.\nAnswer: -4, -1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 111\/10 and (-97)\/12*3\/5.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*b + 3*b + 24. Suppose -28*s - 82 = 170. Which is greater: s or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -b**2 - 27*b - 144. Let l be n(-21). What is the remainder when 2\/l*57*-51 is divided by 47?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = 4*f**2 - 17*f - 2 - 16*f + 32*f. Let d be 1 - 4\/((-2)\/1). What are the prime factors of b(d)?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 7101 - 5350. Calculate the remainder when n is divided by 6.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 52 = 6*r - 2*r. Suppose 7*n - 52 = 3*n. What is the highest common divisor of r and n?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*b + 1551594 = -5*b. Let o = 1987551 - 935957. Let m = o - b. What is m rounded to the nearest 100000?\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 1, j: 1, n: 5, s: 7, o: 1}. What is prob of picking 1 s, 1 o, 1 j, and 1 n?\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((t*t**(-7\/5))\/t)\/(t\/((t*t**(-4)*t)\/t)))**36 assuming t is positive.\nAnswer: t**(-972\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 6215, 6226, 6235, 6242, 6247, 6250?\n\"Answer: -j**2 + 14*j + 6202","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 (base 11) in base 13?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 556093200?\nAnswer: 2, 3, 5, 13, 43, 829","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = 9833*l**2 + 3 - 3 - 10522*l**2. Let c(b) = -b. What is c(x(h))?\nAnswer: 689*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*j + 101 - 287. Suppose -5*k = -28 - j. Calculate the remainder when (-2)\/7 + -3*(-785)\/35 is divided by k.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -8 - -4 - 1\/(-1). Let s be -4*1*f\/(-4). Let j(b) = -b**3 - b**2. Let y(p) = -2*p**3 - 2*p**2 - 2*p + 4. Let z(d) = 3*j(d) - y(d). Determine z(s).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = 20*i + 1. Let u(g) = -g**2. Calculate s(u(h)).\nAnswer: -20*h**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 3166946460?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 21 - 20. Solve p = 3*j - 8 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*y, 4*y = r + 3*y + 4. Suppose 1 = 4*o - 39. Let h = r + o. Calculate the greatest common divisor of 15 and h.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-195)\/(-2470))\/(3*(-1)\/2)\nAnswer: -1\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Add -18 and 3563.\nAnswer: 3545","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k\/(k**20*k*k*k)*k)\/((k*((k*k**(7\/2))\/k*k)\/k*k)\/k) assuming k is positive.\nAnswer: k**(-51\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (1\/3)\/((-36)\/(-162)*1\/4)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-918)\/24)\/(-17)*(-3)\/((-27)\/48).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -7*h**2 + 39*h + 12. Let s be d(5). Suppose -145*g = -137*g - s. Solve 2*i = 4*w - 2*i - g, -3*i + 18 = 4*w for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -f**3 + 3*f - 9. Let u(n) = -n**3 + 2*n - 9. Let h(b) = 2*r(b) - 3*u(b). Differentiate h(c) with respect to c.\nAnswer: 3*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 3*g**4 + 140*g**3 - 87*g**2 - 1164740 wrt g?\nAnswer: 12*g**3 + 420*g**2 - 174*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t = 7*t - 12. Let o be (t + (-4 - -1))*-1. Let l be (o\/1)\/(6\/(-4)). What is the third smallest value in -2, -1, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 8, -1952, 5, -55, -4, -2 in descending order.\nAnswer: 8, 5, 3, -2, -4, -55, -1952","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 57474963*r + 32584544 wrt r.\nAnswer: 57474963","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*p**4\/15 - 34*p**3\/15 - 6*p**2 - 86*p\/15 - 28\/15.\nAnswer: -2*(p + 1)**3*(p + 14)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 251?\nAnswer: 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 10684325 to the nearest integer?\nAnswer: 220","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(4\/15)*w\/w**(1\/10))**(-1\/28)\/((w\/(w*w*w**(1\/5)*w)*w*w)**(11\/2)\/((w\/w**7*w)\/(w**(2\/13)*w))) assuming w is positive.\nAnswer: w**(-7949\/1560)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.17945 rounded to 2 decimal places?\nAnswer: 0.18","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 67 + -129\/2. What is the closest to -1\/3 in 23, 0.2, t?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find z such that 3*z**5\/4 + 21*z**4\/4 + 51*z**3\/4 + 51*z**2\/4 + 9*z\/2 = 0.\nAnswer: -3, -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4 + 5)*(-55)\/(605\/374).\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 8 - 3*z - 23 + 14 to r + l*z and give r.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find c such that -53210494276*c**4\/5 - 159632866872*c**3\/5 - 106425140693*c**2\/5 - 553623*c - 18\/5 = 0.\nAnswer: -2, -1, -3\/230674","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/(-4)*434\/(-620)*20.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -5\/4? (a) 5 (b) -1\/3 (c) 106\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5\/4*b**2 + 15\/2*b - 25\/4.\nAnswer: -5*(b - 5)*(b - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -39, -75, -123, -183, -255?\nAnswer: -339","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 637731463 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = i**2 - i. Let m(j) = -j**2 + 3*j - 1. Suppose 4*g = -2*f, 9 = 2*f - 4*g + 1. Give f*m(p) + 6*x(p).\nAnswer: 4*p**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = 6*f**2 + 35*f + 35. Determine z(-1).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 603 + -592. Solve 10*y = n*y - 1 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-1)\/(-1) + (-57)\/19. Let h be 4 + 2*(0 + -1). Put h, t, -1 in decreasing order.\nAnswer: h, -1, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -45 + (4 - 2) + (109 - 126) + 9 + 1.\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*d + 1156 - 8080. Is d a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 264*k**3*l**2 - 4*k**3 + 57*k**2*l + k*l**2 - k*l - 44*l - 1744 wrt k.\nAnswer: 1584*k*l**2 - 24*k + 114*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 10458 + -10400. Calculate the remainder when 20356 is divided by y.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(1225)\/sqrt(5) + sqrt(245)*2.\nAnswer: 21*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4*d**2 - 926*d - 27902248*d**3 + 4*d**2 + 27902245*d**3)*(30 + 8*d - 30) to u*d + r*d**3 + o*d**4 + j*d**2 + t and give o.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0 - 0.1. Let v be 6\/(-26)*28\/(-42). Which is the nearest to 0.1? (a) 3\/4 (b) i (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -6207\/1852 > -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**0)**38*(m**(3\/7)*m)\/(m\/(m\/m**(2\/45))) assuming m is positive.\nAnswer: m**(436\/315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 427404 is divided by 59?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -366*s**2 + 61*s**2 - 299*s**2 - 3*s - 82*s - 271*s wrt s.\nAnswer: -1208","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.27 + 0.163. Let d = -18.707 - u. Let k = d + 19. What is the closest to 3 in -0.5, 1, k?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 5*-3*6\/5. Let q = 29 + j. Calculate the smallest common multiple of q and -30*(-1)\/(3\/1 - 0).\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1 - -3. Let d = 1 + -1.2. Suppose 2*f - 8 = 3*c - 2*f, -2*f = c - 4. What is the second biggest value in c, d, b?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -3*a**3 + 6*a**2 + 2*a + 4. Suppose -l + 27 = 21. Let o(i) = l*i - 8*i - 2*i**3 + 10*i**3 - 17*i**2 - 11 - 4*i. Give 4*o(x) + 11*u(x).\nAnswer: -x**3 - 2*x**2 - 2*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -6766.9405 - -66\nAnswer: -6700.9405","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) be the second derivative of -793*n**5\/20 - 262*n**4\/3 - 675*n. What is the third derivative of g(r) wrt r?\nAnswer: -4758","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 3\/(-6)*-10 - 5. Solve l = -g - 9 + 7 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -45\/11 and (5\/20)\/(2\/(-292))?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 322 minutes after 10:22 PM?\nAnswer: 3:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = 29*y**2 + 2. Give k(1).\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 904*f**3*g**3 + 176*f**2*g**3 - f**2*g**2 wrt f.\nAnswer: 5424*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 428925246 is divided by 13550.\nAnswer: 13546","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (130 - 129) + ((-8)\/(-10))\/((-3)\/15). What is the closest to 0.3 in j, 1\/4, 74\/3?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.1 + 17.282.\nAnswer: 17.182","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Work out 5561 + -5004.\nAnswer: 557","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -222 + 0?\nAnswer: -222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -v + 9. List the prime factors of v.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-4)\/(-24) - (-8358)\/(-36). Let y = -220 - v. Solve 0 = m + 5*m + y for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 16.82047 nanograms?\nAnswer: 0.00000000000001682047","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand 47*g + 10*g**5 - 47*g + (0*g**4 + 3*g**4 - g**4)*(-g + g - 2*g).\nAnswer: 6*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide 45909 by -45909.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(1539) + -1 - (-2*(2 + sqrt(19)))**2.\nAnswer: -93 - 7*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-31*n + 8*n + 11408 - 11411)*(3 - 5 - 4).\nAnswer: 138*n + 18","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p - 146131 = -5*x + 14258, -4*p = x - 160369. Is p a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -98603 - 0?\nAnswer: -98603","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 4\/(-8) - 10\/4. Let l = -2 - g. Suppose -l = 5*m + 24, -55 = -4*d + 3*m. Is d a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -z**3 - 5*z**2 + z + 5. Let m be j(-5). Solve -a - 5*i = 4*a + 5, 2*a + 5*i + 17 = m for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1825 + -1811. Solve -15*s = -2*x - h*s, 2*s = 3*x - 1 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-44)\/(-88))\/(1*2\/20)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -153967 by -13997.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -6 - -10. Let t = -16 + 29. Let v(j) = -2*j + 29. What is the lowest common multiple of q and v(t)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k\/k**1)**(-7)\/(k**(1\/4)\/(k*(k*k**(-6)*k)\/k)) assuming k is positive.\nAnswer: k**(-17\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*x**5 + 4*x**5 - 3*x**5 - x + x + x**5 + (-x - 2*x + 4*x)*(2*x**4 + 2*x**2 - 2*x**2) + (5*x**3 - x**3 - x**3)*(-3*x**2 + x**2 + 0*x**2).\nAnswer: -2*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 136968300 rounded to the nearest 100000?\nAnswer: 137000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*z - 30 = -3*z. Let n be 16 + -15 + (36 - 1). Suppose -2*q = -2*m - n - 8, 3*q = 5*m + 76. What is the remainder when q is divided by z?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -10588 - -52936\/5. Which is the biggest value? (a) -1\/99 (b) d (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 20840, 20764, 20638, 20462, 20236, 19960?\nAnswer: 19634","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 8396.07290432 + -0.07?\nAnswer: 8396.00290432","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*s + 5*s + s**3 + (-3*s + 3*s - 2*s)*(105 - 105 + 13*s)*(3*s + s - 3*s) to the form c*s**3 + o + d*s**2 + y*s and give c.\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*b = -52*b + 124 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j + 3*g + 36190 = 7*g, 0 = -j + 3*g + 7238. What is the units digit of j?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 8586 and 19?\nAnswer: 163134","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iiiigggggiigoi. Give prob of picking 2 g.\nAnswer: 15\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = h**2 + 9*h + 10. Let o be 4\/(-10) - (-172)\/(-20). Let l be x(o). Calculate the greatest common factor of 110 and l.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 2847 and 1 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*l**3\/9 + 26*l**2 + 76*l\/3 - 464\/9.\nAnswer: 2*(l - 1)*(l + 2)*(l + 116)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 73 + -53. What are the prime factors of ((16\/6)\/4)\/(k\/3210)?\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1023526 (base 8) in base 6?\nAnswer: -5500130","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 418 at least -0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -g + 2. Let k(i) = 130*i - 96. Let j(c) = k(c) - 2*s(c). Does 4 divide j(4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3 - -4. Suppose -5*n - p = -610, 5*p - 509 = -k*n + 3*n. Is n a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*i**5 - i**5 + 2*i**5)*(2 + 2 + 12) + 2*i**4 + 2*i**5 - 2*i**4 - 4*i**5 + i**5 - 5*i**5.\nAnswer: -54*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 7123, 10875, 17131, 25891, 37155, 50923?\nAnswer: 67195","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -53 - -13. Let s be (-12)\/(-1)*l\/(-30). Suppose -2 = -i + s. What is the highest common factor of 162 and i?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 223 + -220.23. Let y = t + -1.77. Which is the third biggest value? (a) y (b) -0.2 (c) 4 (d) -30\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-18)\/3 + 20 + 0 + 1. Let y be (0\/1 + 2)\/(10\/h). Solve 0 = y*f - 4 - 5 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (18\/(-15))\/((-3)\/(-20)). Let w = 19 + l. What is the remainder when 31 is divided by w?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(2*(-1 + sqrt(396)))**2 - (sqrt(44)\/(-1*sqrt(484)) + 1)**2.\nAnswer: -3166*sqrt(11)\/11 + 104796\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -10*y**2 + 4*y - 3. Let g(i) = -40*i**2 + 15*i - 11. Let v = -3162 - -3168. Determine v*g(d) - 22*b(d).\nAnswer: -20*d**2 + 2*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/3)\/(140\/(-840))\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 301123131 + -22303?\nAnswer: 301100222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5511 by -56.\nAnswer: 5511\/56","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -0.11*0.7\nAnswer: -0.077","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = s**2 - 17*s + 27. Let n be (-4)\/76*-2 + 566\/38. Determine c(n).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/m**43)\/m**(-24)*(m*(m\/(m*m**(-1\/10)))\/m)\/(m*m*m**(-3\/19)*m*m) assuming m is positive.\nAnswer: m**(-4131\/190)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -144 = 16*d - 432. Let x = 33 + 111. What is the greatest common factor of d and x?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -6*f**3 - 14*f - 14. Let v be 0\/(-13) + 1 + -15. Let o(t) = 26*t - 3*t**3 - 21*t + 5*t**3 + 5. What is v*o(p) - 5*h(p)?\nAnswer: 2*p**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 665, 807, 945, 1073, 1185, 1275?\n\"Answer: -i**3 + 4*i**2 + 137*i + 525","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*o + 18 + 57. What are the prime factors of (-166)\/(-3) + o\/(-75)?\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 - (-9 + 5 + 8).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -318*m - 5 = -317*m for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*t - 141 + 51 = 0. Suppose t*j - 4158 = -6*j. What is the greatest common divisor of 36 and j?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = 7*d**3 - 7*d**2 - 5*d - 1. Suppose 15 = -5*n, -5*n - 19 = -2*h + 4*h. Let r(z) = 3*z**3 - 3*z**2 - 2*z. Calculate h*g(j) + 5*r(j).\nAnswer: j**3 - j**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -148 - -334. What is the highest common factor of 31 and y?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*d = -10*d. Suppose 0 = v - c + 1, d = -4*v + 6*c - 11*c - 49. Let g be (-48)\/(-22) - v\/(-33). Is -6 greater than or equal to g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19 + 5 = 4*v. Let x(a) = -3*a + 3. Let u(y) = -6*y + 6. Let t(n) = v*u(n) - 11*x(n). What is the derivative of t(c) wrt c?\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*d**2 + 8 + 6*d**2 - 12 + 3*d**3 + 2*d**2 in the form x*d**3 + v*d**2 + m + t*d and give m.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-52*144\/858)\/((-8)\/(-44)).\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 13089 - 13128. Put p, -1\/4, -2\/17, 1, 3 in increasing order.\nAnswer: p, -1\/4, -2\/17, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 469410638 - -0.013?\nAnswer: 469410638.013","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) be the first derivative of -j**6\/30 + j**5\/25 + j**4\/20 - j**3\/15 + 8. What is c in f(c) = 0?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l - 18 - 24 = 0. Suppose -3*q + 0*f = -3*f + 60, 0 = -3*q + 4*f - 64. Let j = 27 + q. What is the remainder when l is divided by j?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10473328.\nAnswer: 2, 743, 881","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 76697, 153369, 230041, 306713?\nAnswer: 383385","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -16*d - 14 - 2 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*b - 48 = 2*b. Let v = b - 1. List the prime factors of v.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 762043?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.1 + 2.9. Let g = 0.04 + 1.96. Let r = g - h. Put -3, 4, r in descending order.\nAnswer: 4, r, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 2, y: 2, c: 3, a: 8, t: 2}. What is prob of sequence ay?\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 878730*v - 877651*v + 5254 - 1642 = -10415 for v.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = 5*w. Let y(d) = 4660 - 4660 - 14*d. Suppose -3*i - i = -24. Let k be (-2 + 0 + 3)*(-5 + 22). Determine i*y(c) + k*q(c).\nAnswer: c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in 0.06, -31, -2\/7, 5, -1\/4?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1306, -15988, -57442, -139054, -274210?\nAnswer: -476296","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 55 - 48. Suppose -3*c = -k*c. Suppose -2*v + c*v = -16. Solve v = 6*x - 2*x for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6680 (base 13) in base 6?\nAnswer: -150112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*j - w = -144, 0 = 44*w - 45*w for j.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -4*k*p**4 - 19*k + 55038904*p**4 + 4193859 wrt p?\nAnswer: -16*k*p**3 + 220155616*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 138*h*i**3 - 3*h + 71*i**3 with respect to h.\nAnswer: 138*i**3 - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*j - 3*a + 11 = 0, 5*a = 12837*j - 12831*j + 29 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -157 + 192. Suppose -34*d = -b*d. Solve 0 = -x - d*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 55548.64 milligrams to kilograms.\nAnswer: 0.05554864","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 535 minutes after 8:20 AM?\nAnswer: 5:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 86054096 - -1?\nAnswer: 86054097","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert -56152 (base 11) to base 4.\nAnswer: -103313121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 101835 to the power of 1\/2, to the nearest integer?\nAnswer: 319","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p and 3 d when four letters picked without replacement from vvddvvdvpvvvddd.\nAnswer: 4\/273","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) be the third derivative of -q**5\/60 + 2*q**4\/3 - 13*q**3\/3 - 3*q**2 + 10. Find the first derivative of n(j) wrt j.\nAnswer: -2*j + 16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) be the second derivative of -p**6\/6 + 2*p**3\/3 + 5*p**2 + 9*p. Let u(c) be the first derivative of h(c). What is the first derivative of u(y) wrt y?\nAnswer: -60*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = o**2 - 12*o + 21. Give c(7).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*s**2 - 6*s + 14 + s**4 - 14 + 3*s**3 + 10*s to the form i*s**3 + z*s**4 + p*s + h*s**2 + b and give z.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2\/3 (b) 1\/58411 (c) -0.1 (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1817 and 184.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -482*l**2 - 9*l + 70. Let v be c(8). What is v rounded to the nearest 1000?\nAnswer: -31000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -35\/1221 and 16\/2849.\nAnswer: 8547","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.03575 to three dps.\nAnswer: 0.036","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2207 - 2208.4. Sort -2\/5, 0.068, w in decreasing order.\nAnswer: 0.068, -2\/5, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 12 divided by 418\nAnswer: 6\/209","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -5480 divided by 4\nAnswer: -1370","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand -s**5 + 0*s**5 - s**5 + (613*s**2 - 31*s**3 + 31*s**3 + s**4)*(2*s + 2*s - 5*s).\nAnswer: -3*s**5 - 613*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) be the second derivative of b**4\/6 + 3*b**2 + 4*b. Find the first derivative of p(y) wrt y.\nAnswer: 4*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -125 + 134. Suppose -15*o = -c*o - 12. Let b(v) = -2*v - 7. Let w be b(-6). Put o, 1, w in decreasing order.\nAnswer: w, o, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 + 2 = -2*n + 2*w, -4*n = 2*w + 10. List the prime factors of (165\/22)\/(n\/(-52)).\nAnswer: 3, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 c when two letters picked without replacement from {c: 17, f: 3}.\nAnswer: 68\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -56 - (2 - 2) - (186 - 204).\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h + 14 + 1 = 0. Find j such that h*j + 9*j - j**2 + 5*j**2 = 0.\nAnswer: -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.1 + -0.09. Let r = -3936 - -3933. Let q = 3 + -8. What is the third biggest value in q, -4\/3, u, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5 - 28*c + 4 - 9 to h + r*c and give r.\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1214 to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = 25535370*v. Let q(w) = 17*w. What is q(u(t))?\nAnswer: 434101290*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w + 3*p = -7 + 25, -5*p + 14 = 3*w. Suppose -n = 3*h + 1820000, 15*n - 12*n + 5460000 = -w*h. Round n to the nearest one hundred thousand.\nAnswer: -1800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 909.3101 nanometers in kilometers?\nAnswer: 0.0000000009093101","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 56\/5 - 514\/45. Which is the second smallest value? (a) 3\/2 (b) -4 (c) 1 (d) h\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -36 + 102. What is the units digit of w?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 4420*n**5 - 42666*n**2 - 3*n?\nAnswer: 265200*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -30 - -30.41. Let d = -24589.410095 - -24589. Let v = x + d. What is v rounded to five dps?\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 556999643 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = 7*s**2 + 3*s + 6. Let k be f(0). Which is bigger: k or 7\/79?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 86\/20*-8*5. What is the lowest common multiple of 11 and (-3139)\/n - 2\/8?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.14686993 to 3 dps.\nAnswer: 0.147","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*j - 3*j + 2632 = r, -2*j + 1740 = -3*r. Suppose j + 744 = 9*f. What is the highest common divisor of 20 and f?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*c + c + 40. Let j = 4 + c. Is j\/(-1 - -2) - 1 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2440\/61 + 552\/24 + 8?\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -34 + 41 - (1 - 0 - (-3 - -6)).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/10 of a litre in millilitres?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -12 - -8. Let b(x) = x + 5. Let i(o) = -293. Let y(q) = 118. Let f(a) = 2*i(a) + 5*y(a). Give k*b(u) + 5*f(u).\nAnswer: -4*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c*(c**0*c)\/c*c*(c\/(c\/c**(-2\/7)))\/c*(c**0)**(2\/27) assuming c is positive.\nAnswer: c**(5\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -163*n - 52*n - 389*n - 131*n.\nAnswer: -735*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 q and 1 r when four letters picked without replacement from {q: 4, r: 1, w: 1, z: 2}?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -7*t**2 + 233*t - 49. Calculate i(32).\nAnswer: 239","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -82*o. Let n(b) = -14315*b - 1. Determine n(j(d)).\nAnswer: 1173830*d - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1899166?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 156 - 26. List the prime factors of u.\nAnswer: 2, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5989194.\nAnswer: 2, 3, 197, 563","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = o**2 - 22. Let y be b(0). Let q = -172 + 194. Let d = y + q. Solve -2*z + 6*z - 20 = d for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.2 + 0. Let r = 0.2 + y. Let x = -0.6 - r. Which is bigger: x or 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-16)\/5 + (-1)\/(-5). Let b be (p - -1) + (-12)\/(-3). Suppose 5*n = -b*r - 10, 4*r - 50 + 10 = 5*n. What is the units digit of r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = a**3 - 13*a**2 + 2. Let h be k(13). Find the third derivative of -13 + 3922*r**2 - r**6 - 6 - 3920*r**h + r**3 wrt r.\nAnswer: -120*r**3 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 greater than or equal to 8\/28627?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -18 + 23. Let r be (0 + -1)*(-1 - q\/1). Let w(g) = g + r*g + 2*g + 1. Calculate w(1).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (4\/14)\/(4\/28). Suppose -45 = -y*q + 3*h, 5*q - 119 = -4*h - 18. Is 21 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-2)\/(-4) - (-26)\/(-20). Suppose 3*a - 55 + 7 = 0. Let g be ((-20)\/16)\/(2\/a*2). What is the second biggest value in j, g, 1\/6?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 105694?\nAnswer: 2, 43, 1229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3\/(-35))\/(13980\/(-1304800)).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 4037 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -97.06 + 20.06. Which is smaller: -14\/11 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5\/2, -40, 5\/6 in increasing order.\nAnswer: -40, 5\/6, 5\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*l + 0*l - 4*p = -2, 3*l - 4 = p for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0 + 0. Let s(u) = -8*u + 19. Let f be s(2). Suppose n = h + 4*n + 2, 10 = f*h + n. What is the second biggest value in a, -5, h?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -27145 (b) -3.8 (c) -0.4 (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) be the third derivative of -13*n**2 + 1\/160*n**6 - 1\/840*n**7 - 1\/1344*n**8 + 1\/48*n**5 + 0*n**3 + 0*n + 0 + 1\/48*n**4. Factor c(k).\nAnswer: -k*(k - 2)*(k + 1)**3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6 - (2 + 6)) + (1 - 1).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3092305 to the power of 1\/2, to the nearest integer?\nAnswer: 1758","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 34 - 34. Suppose 10*r - 898 - 982 = d. What is the units digit of r?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1002231222 (base 4) to base 13\nAnswer: -974bb","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1\/4 (b) -2\/17 (c) 1 (d) 16.5 (e) -2\/911\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -71 = -41*b - 305 + 29 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.3, 2\/34377, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x - 6 = -3*w, w = 3 + 1. Let n = 38 + x. Solve 2*t = 4 - 14, 3*u - n = 5*t for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5069.152447 rounded to the nearest 10?\nAnswer: -5070","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: ((-31)\/(-7))\/(32\/(-20) + ((-15432)\/(-420) - 35))\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*d**2\/7 + 762478*d\/7 + 381240\/7.\nAnswer: -2*(d - 190620)*(2*d + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -4 (b) 0 (c) -5\/199 (d) -0.4 (e) 6\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -6 (b) -3 (c) -0.06 (d) -11487\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -2*j**2 + 34. Let h(w) = 9*w**2 - 4. Let o(c) = -87*c**2 + 42. Let y(i) = 21*h(i) + 2*o(i). What is b(y(k))?\nAnswer: -450*k**4 + 34","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3046000792.\nAnswer: 2, 89, 4278091","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2214243 is divided by 738074.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 6 + -7. Let w(v) = 3*v**3. Let u be w(1). Suppose u*y + 2*j - 7*j = -20, 4 = 3*y + j. What is the smallest value in l, -0.1, y?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 29822.\nAnswer: 2, 13, 31, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bbbwww. Give prob of picking 1 w and 3 b.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 < 3.84?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8\/511, 1\/4, 5, -50.\nAnswer: -50, 8\/511, 1\/4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 5896 and 5159?\nAnswer: 41272","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7574 is divided by 876?\nAnswer: 566","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 87150 to the power of 1\/3, to the nearest integer?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 40099 is divided by 635.\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1358 + 419 + 13*x**2 + 420 + 461 + 25*x**2 to m + k*x + r*x**2 and give r.\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-1 + 4)\/3*(8 + 130)?\nAnswer: 2, 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h = t + h + 14, t - 3*h + 29 = 0. Let y(b) = -28*b + 142. What is the tens digit of y(t)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = 48*b**2 - 20*b + 34. Let d be n(2). Suppose 185 = -c + d. Suppose -4*q + 45 = q. Solve -c - q = 2*m for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*o - 1 + 1)*(0*o + 3*o - o + (-4 - 1 + 4)*(-10*o + 5*o - 4*o) - o - 2*o + 5*o) to the form v*o**2 + b*o + u and give v.\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = j**3 - 26*j**2 + 10*j - 256. Calculate c(26).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -253*f**2 + 16*f**2 + 222*f**2 + 10*f**2.\nAnswer: -5*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -n**2 - 109*n - 2897. What is x(-60)?\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 15768 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: Collect the terms in 152822*n**2 - 76424*n**2 - 76400*n**2 - 132*n.\nAnswer: -2*n**2 - 132*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = j**3 + 6*j**2 - 11*j - 30. Let s be q(-4). Let p be s\/30 - (-81)\/(-405). Put -2, p, -10.6 in descending order.\nAnswer: p, -2, -10.6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -3982, -7959, -11938, -15919?\n\"Answer: -p**2 - 3974*p - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(100)\/sqrt(2))\/sqrt(10).\nAnswer: -3*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -47 = 5*m - 8*f - 96, -3*m + 3*f + 24 = 0 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2724904 and 196?\nAnswer: 19074328","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 54 and 9063.\nAnswer: 54378","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 194 a factor of 28300?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -64 = 6*q - 106. Let b = 16 - 14. Solve b*o - q*o + 20 = 0 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 42 - 19. Let h(u) = u**2 + 4. Let p be h(0). Suppose 6 = -p*q - 2, 4*y - 266 = q. Calculate the remainder when y is divided by j.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -486 - -497. Calculate the remainder when 978 is divided by f.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*m**2\/4 - 52455783*m\/2 + 917203056714363\/4.\nAnswer: 3*(m - 17485261)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = b**3 - 2*b**2 - 1. Let s(r) = -167*r**3 - 213*r**2 - 3. Let o(w) = s(w) - 3*v(w). What is the third derivative of o(y) wrt y?\nAnswer: -1020","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d = 10, 0 = 2*w - 0*d + 2*d - 14. Suppose -n = 5*l - 20, 4*l = w*l + 3*n - 4. What is the units digit of l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 182 and 83265.\nAnswer: 166530","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0 + 2. Suppose 2*y = -2*o + 10, 5*y - 5*o = -1 + 6. Suppose k + 4*v + y = -13, 6 = 4*k + 2*v. Solve -3*n - 6*r + 4*r = k, c*n + 5*r - 1 = 0 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-544)\/40 + 14)*30\/4\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 11801\/4 or 2951?\nAnswer: 2951","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4 + 0 + 37*u + 4 to c + d*u and give d.\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -87*o**3 - 4*o**2 - 13*o - 61. Let j be c(-6). Let b = -10928 + j. Is b a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12\/7 of a week in days?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -41 - -12 - (11 + -29)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*k + 0*k + 5*k)*((2*k + 2 - 2)*(2 + 2 + 1) - k - 1 + 1).\nAnswer: 9*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 5 in -2\/13, -1\/4, -4, -1?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -131122 by 53.\nAnswer: -2474","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -p**3 + 4*p**2 + 6*p + 5. Let m be y(5). Let l be (20\/(-9)*-3)\/((-6)\/(-9)). Calculate the highest common divisor of m and l.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = s**3 - 4*s**2 + 2*s - 3. Suppose 0 = 2*l + 2*l. Let g be (-3 + 0)\/(-1 - l). Determine q(g).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = 2*u**2 - 19*u + 16. Let x be i(12). Suppose 3*k + x = 238. What is the tens digit of k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 107 minutes before 7:19 PM?\nAnswer: 5:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -h**3 + 246*h**2 + 757*h - 2487. Calculate m(249).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = 5*r. Let q be d(3). Suppose -5*p + q = 3*x, x - 5 + 0 = 5*p. Suppose c = -p*c + 4. What is the units digit of c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -2186 and -0.2?\nAnswer: 437.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 788, 3160, 7118, 12662, 19792, 28508?\n\"Answer: 793*y**2 - 7*y + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3 - -113. Find the third derivative of -3 - 63*z**2 - 73*z**2 + 155*z**2 - p*z**6 wrt z.\nAnswer: -13200*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = s**2 + 8*s + 12. Let k be t(-4). Let v(r) = -6*r - 9. Let z be v(k). Let x = -11 + z. What are the prime factors of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9399077 to the power of 1\/2, to the nearest integer?\nAnswer: 3066","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -31507 - 2803?\nAnswer: -34310","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 126080?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/11 in -1, -3, 82, -2?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (6\/12)\/((-40)\/(-96))*50\/(-220)\nAnswer: -3\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1548*p + 1552*p - 29 = 3*h, -3*p = 3*h - 27 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -24*a + 13*a + 55. Solve a*s = -0*s - 20 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 2465 (b) 3 (c) 6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: Let h = -477 + 10019\/21. Let d = 0 - -0.4. Sort d, 0, h in decreasing order.\nAnswer: d, h, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -m**2 - 4*m - 5. Let r be i(-3). Is 13 a factor of -2 - (-63 - r - 3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.29 - -17.29. Let r = 17.1 - o. Which is the smallest value? (a) r (b) 5 (c) -6\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q + 15 = -5*t, -2*q + 0*t - 21 = -t. Let g(x) = 2*x**2 + 12*x - 4. Is g(q) a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = g - 2. Let d be c(3). Suppose d = k - 3. Solve 1 = 3*h + 4*b, -3*h + 2*b + k + 9 = 0 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dfwdfddw. What is prob of sequence wfw?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -4, -45, -5 in descending order.\nAnswer: 5, -4, -5, -45","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 14 + -13.9999998. Round s to 6 decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -555, -2138, -4747, -8382, -13043?\n\"Answer: -513*l**2 - 44*l + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1045 - 1041. Solve 182*s = 180*s + m for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*i**2 + 2*i**2 + 2*i**2 + (-3 + 3 + i)*(-i + 0*i + 3*i) - i**2 - 2*i**2 - 3*i**2 + 9*i - 12*i + i + 3*i**2 to y + s*i + q*i**2 and give q.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-890595)\/(-58640))\/(18\/(-96)).\nAnswer: -81","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -25*x - 81. Let n be o(-5). Which is greater: n or 47?\nAnswer: 47","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 27773*q**3 + 68352?\nAnswer: 83319*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 6 - 15. Let t = -15.6 + 13. Let f = 0.6 + t. Which is the third smallest value? (a) f (b) -2\/3 (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.3*-34.354.\nAnswer: 10.3062","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -29465, -117853, -265167, -471407, -736573, -1060665?\n\"Answer: -29463*m**2 + m - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = 3*q + 2. Let f(c) = -65*c - 45. Let o(n) = 2*f(n) + 45*m(n). Let g(l) = -12*l**2 + 25*l**2 - 14*l**2. Determine o(g(s)).\nAnswer: -5*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -8195*f - 41002. Give w(-5).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-10)\/(-50)*(-45)\/6*4\/6?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0 + 2*g**4 + 0 + g**4 + 5*g**3 - 5*g**3 + 3 - 3 - g**4 + g - 2*g**4 - g + (4*g**2 - 5*g**2 + 3*g**2)*(g**2 - 4*g**2 + 2*g**2) + 0*g**4 - 2*g**4 - 3*g**4.\nAnswer: -7*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.008 (b) 2\/11 (c) 0.13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7963 (base 11) to base 10.\nAnswer: 10475","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-2)\/(-42))\/((-2449)\/(-1011251)). Let u = 2\/553 + y. Suppose 8*w - 88 = 3*w + 4*n, -2*n + 66 = 3*w. Is w > u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (13\/130)\/(25\/1500). Let y(o) = 7*o + 14. Let q(i) = 8*i + 15. Let z be (-27)\/4 + (-2)\/8. Give k*q(r) + z*y(r).\nAnswer: -r - 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**2)**36*s*s*s**(-1\/5)*s*s*s*s*s**(-3\/7)\/s assuming s is positive.\nAnswer: s**(2673\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 55662307 greater than or equal to 55662305?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 - (0 - 3) - 10.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 182 * 1\nAnswer: 182","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 8 and 720?\nAnswer: 720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (64\/(-24))\/((-2)\/3). Suppose -m*z = -24 + 16. Suppose z*d - 91 + 31 = 0. Does 15 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-119)\/7 + (476\/240 - (-390)\/26)?\nAnswer: -1\/60","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:36 AM and 3:52 PM?\nAnswer: 496","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-163)\/(-3097) + (-1882)\/(-342). Is 6 less than i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -10761405*g**5 + 11382112*g?\nAnswer: -215228100*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 5}. Give prob of picking 4 a.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 563710 to the power of 1\/3, to the nearest integer?\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 90 and 180?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) be the third derivative of 3*v**4\/8 + v**3\/3 + 3*v**2 - 5*v. Give h(-2).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 124\/51 + -7984\/2193. Find the common denominator of j and (2\/(-14))\/((-1)\/(-34)).\nAnswer: 301","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1 - 2\/4*1. Let o = 0.3 + -0.1. Let l = -17241 + 17242. What is the nearest to z in l, -1, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 108559 and 99.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*sqrt(95)*-2*5)\/((sqrt(125) + (sqrt(125) - (-1*sqrt(125) - sqrt(125))))*-1 - sqrt(125)))**2.\nAnswer: 684\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(76)\/(sqrt(256) - -2*sqrt(256)).\nAnswer: sqrt(19)\/24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1286 - 1286 + 0*a**2 + 4*a**2.\nAnswer: 4*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 50 + z**3 - 89019*z**2 + 89038*z**2 - 50.\nAnswer: z**3 + 19*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -2*f**3 + 1759*f**2 + 7966*f - 8808. What is p(884)?\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) be the first derivative of -48*x**2 + 3*x - 7. Does 33 divide m(-1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 4.318985 and 0.0578.\nAnswer: 4.376785","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t - 18 = 0, 3*t = -4*k - 12*k + 13*k. Solve 36*b = 34*b - k for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j, 1 d, and 1 q when three letters picked without replacement from fjjodqr.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (138\/(-12) + 6)\/((-16 - -5) + (-36)\/(-4)).\nAnswer: 11\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 514 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -7\/32891 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -326? (a) -1\/6 (b) -1\/5 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*g = -3*l - 6, 4*g - 2*l + 35 = 39 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 141 is divided by 5.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 456619 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 116 and 87.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -2\/7, 2, 12\/11, -3, -1\/9?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2 = -2*f, 5*f - 20 = 3*m + 3*f for m.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 81 and 63.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.35 - 0.05. Let u = -1080.9 + 1081.20076. Let w = i - u. Round w to four dps.\nAnswer: -0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 277 (base 12) to base 9.\nAnswer: 461","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:07 AM and 1:10 PM?\nAnswer: 543","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 8338 + -4707. Is v composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -575 - -568. Let r be (-29)\/z + -4*10\/280. Solve 16 = 4*w + r*h, 2*w + 4*h - 2 - 4 = 0 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1210252649?\nAnswer: 149, 8122501","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 x when two letters picked without replacement from {b: 5, x: 4, s: 2}.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*d**3*k**2 - 79*d**3 - 4*d*k**2 - 10*d*k - 2*k**2 wrt d?\nAnswer: 12*d*k**2 - 474*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 239 or 258?\nAnswer: 239","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put -611, -1, -6936 in increasing order.\nAnswer: -6936, -611, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -21779 or -64057?\nAnswer: -64057","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -74, -5, 5, 2, -8, -1 in ascending order.\nAnswer: -74, -8, -5, -1, 1, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 38 is divided by 15?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13846 + 13846 + 2*v - 38187*v**2.\nAnswer: -38187*v**2 + 2*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 112156423 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -5*f**5 - 13*f**4 - 17*f**3 - f**2 - 5*f + 5. Let g(l) = l**5 + 3*l**4 + 4*l**3 + l - 1. Let w(o) = 9*g(o) + 2*x(o). Factor w(m).\nAnswer: -(m - 1)**3*(m + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 8840 by 20.\nAnswer: 442","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (-10)\/180*52\/39\nAnswer: -2\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -871 + 887. What is the highest common divisor of 16 and w?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 19 minutes after 5:49 PM?\nAnswer: 6:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -42*1.4.\nAnswer: -58.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 90652.\nAnswer: 2, 131, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 60\/28*8232\/4900.\nAnswer: 18\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -5863, -11730, -17597, -23464?\n\"Answer: -5867*n + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-8)\/4*-2 - -79?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 34, -5, 22, 5, 0.07 in ascending order.\nAnswer: -5, 0.07, 5, 22, 34","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -5*s + 7. Let o(y) = 4*y - 6. Let r(v) = -5*m(v) - 6*o(v). Let u be (30\/4)\/((-3)\/(-6)). Suppose 10 = 5*f - u. Calculate r(f).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 43 - -10 - -35 - 52?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/10)\/(22\/330)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.5331 rounded to one dp?\nAnswer: -2.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -7*g. Determine l(1).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 22377 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 4\/14 + 75\/7. Suppose 4*k - 308 = -4*f, -f = -5*f. What is the greatest common divisor of r and k?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 44 < 260124?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 82 + -74. Suppose -2*s + n*b - 5*b = -124, 3*s - 180 = 3*b. Is 28 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 70014270971 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -316 = 30*b + 104. Let j(z) = 3*z**2 + 0*z**2 + 18*z + 0*z**2 - 19. Is j(b) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1b5a1 (base 12) in base 3?\nAnswer: 2001200011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -15*w**3 - 11*w + 11. Let q = 54 + -43. Let f(x) = -5*x**3 - 4*x + 4. Calculate q*f(o) - 4*l(o).\nAnswer: 5*o**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 h and 2 d when four letters picked without replacement from ddholdhd.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -548 = -19*h - 529 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w + 1517285 - 337277 = 5*l, -l + w + 236004 = 0. What is l rounded to the nearest ten thousand?\nAnswer: 240000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -13012 - 321?\nAnswer: -13333","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 251255133?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 1438?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (29 - 34 + 0*m - 3*m)*(9*m**2 + 15*m**2 - 2*m**2) + 0*m**3 + 5*m**3 - m**3 to the form w*m + b*m**3 + f + u*m**2 and give b.\nAnswer: -62","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100 - 101010?\nAnswer: -101110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 101010101001011010011 - 1010110011?\nAnswer: 101010101000000100000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((-4*x**2 + x**2 + 4*x**2)*(-4*x + 5*x - 2*x) + (-2 + 2 - 2)*(-3 + 2*x**3 + 3))*(-2 + 5 + 2)*(-40 - 5 - 73) to b + y*x**3 + j*x + v*x**2 and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 25983317?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*x*x**(-5)*x*x**(-6)\/x*x)\/(x**17\/((x**(-1\/47)*x)\/x)) assuming x is positive.\nAnswer: x**(-1176\/47)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in 2\/3, -9\/16, -3\/7?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -949*g - 2144. What is the hundreds digit of k(-6)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find d, given that 16*d**3\/7 - 820884*d**2\/7 + 8412200*d\/7 + 9233100\/7 = 0.\nAnswer: -1, 45\/4, 51295","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/5)\/(224\/(-10) + 25).\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -107 - -127. Let w(l) = l**3 - l**2 - l + 28. Let p be w(0). Let a = 32 - p. Calculate the highest common factor of a and c.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cuzczzuuzzzzzruuluz. Give prob of sequence rc.\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = 3. Let g(a) = -a + 9. Let s(n) = 2*g(n) + 10*y(n). Let t be s(24). Solve 4*l + t*l + 16 = 0 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1104452 - 10?\nAnswer: 1104442","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3\/8 + 4761\/(-21528)?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xhhhzvmvhvvzhxhhzhm. Give prob of picking 2 h, 1 x, and 1 v.\nAnswer: 56\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 5699 or 5607?\nAnswer: 5699","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -14.28 + 6.88. What is the second biggest value in -3\/8, h, 0.5, -0.5?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from axouuee. Give prob of picking 1 a and 2 u.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2140 and 80.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -4*z**3 + 4*z + 1. Let j(b) = 2*b - 5. Let q be j(3). Let k(l) = l**3 - l - 1. Let n(w) = q*y(w) + 2*k(w). Give n(1).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express t**2 + 26 - 20 + 3*t - 4*t - 5*t**2 as c + q*t + b*t**2 and give b.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -53*z**5 - 3*z + 11*z**5 - 18 - 23*z**5 wrt z.\nAnswer: -1300*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-2)\/(-4))\/(13\/(-494)). Let t = m + 142. What are the prime factors of t?\nAnswer: 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d = -w - 3 + 1, 13 = 5*w + 2*d. Suppose -4*i = -2*m, w*i = -m - 0*i. Let p be -750*(m + 0 - 100). What is p rounded to the nearest ten thousand?\nAnswer: 80000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 102 is divided by 16?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 336 (base 7) to base 10\nAnswer: 174","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -q**3 - q**2 - q - 6. Let a be u(-2). Solve a = -3*i + 2*m + 10, 17 = 3*i - m + 6 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = 1428*h - 39963. Calculate k(28).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 172\/(-30)*2 - (46\/(-6) - -8) and -13\/2251?\nAnswer: 11255","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -r**2 - 147*r + 298. Let z be n(2). Solve 50*u - 67*u + 119 = z for u.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m - 5 = 3*d, 3*m + 5*d - 5 = -2*m. Let i(l) be the first derivative of l + 2 - 1\/2*l**2. Calculate i(m).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + sqrt(66)\/(sqrt(120)\/sqrt(5)) + sqrt(88)\/(sqrt(8) - (sqrt(800) - 1*sqrt(800))).\nAnswer: -3 + 3*sqrt(11)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -118964 to the nearest 10000.\nAnswer: -120000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 not equal to 161?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 345465 and 155?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -12, 2, -18824, 4.\nAnswer: -18824, -12, -3, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 - -3) + (1 + -5 - -3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let 338*n**4\/3 + 910*n**3\/3 - 304*n**2\/3 + 8*n = 0. Calculate n.\nAnswer: -3, 0, 2\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:58 PM and 9:01 PM?\nAnswer: 423","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 137da (base 15) to base 12.\nAnswer: 3022a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -f**3 - 3*f**2 + 2*f + 1. Let j be d(-3). Let n be (-3543)\/j + (-28)\/(-20) + -1. Suppose 0 = v - n - 346. Is v a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 208 (b) 1\/4 (c) -7.7 (d) 0.1 (e) 0.06\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-104)\/13 - (-5 + -2)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:51 AM and 8:40 PM?\nAnswer: 589","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 103305 - 213005. Round b to the nearest 1000.\nAnswer: -110000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = 2*n**2 + 37*n - 107. Let p(w) = 45*w - 73. Let x be p(2). Is l(x) a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -106 (b) 3 (c) -0.021\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = o. Let j(a) = a**2 - a. Let d(q) = -4*q**2 + 3*q. Let s(t) = -d(t) - 3*j(t). What is z(s(f))?\nAnswer: f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 276 and 53?\nAnswer: 14628","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3920 by 35.\nAnswer: 112","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = w**2 + 5*w - 11. Let q be g(-6). Let i(s) = 4*s - 2. Let p(z) be the first derivative of 2*z**2 - z - 4. Let c(o) = -4*i(o) + 5*p(o). What is c(q)?\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**(-3)\/s)**(-35))**(-44)*(s**(-2\/31)\/s)\/(s*s**(1\/8))*s**(-3)*s*s**(1\/6) assuming s is positive.\nAnswer: s**(-4586033\/744)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Add 765544 and 0.4.\nAnswer: 765544.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = a**3 + 7*a**2 + 3*a + 14. Suppose -175 = t - 161. Let v be (t + 4)*(1 + 3\/(-6)). List the prime factors of m(v).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = 16*k**2 + 248*k - 134. Calculate a(-16).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -3, -0.3, -15?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.5, -9751, 2\/9, -6?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 42 - 14 - 43*i - 9 - 9 - 14 to the form k*i + b and give k.\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.9 + 1. Let t = -2639\/5 - -528. Let p = -16.9 - -18. What is the nearest to x in t, -1, p?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = 3*r + 2*j, 2*j + 20 = -r - 3*j. Suppose -3*z + 25 - 1 = r. What is the units digit of z?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -20 - (10 - -2 - (27 + -9 + -8))\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 532 minutes before 11:02 AM?\nAnswer: 2:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) be the first derivative of o**3\/3 + 3*o**2\/2 + 3*o + 2. Let h be m(-2). Let s be (8\/12)\/((-1)\/(-3)). Which is greater: h or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = 2*j + 10. Let b = -71 + 71. Suppose 0 = w - 2*i + 10, b = w - 0*i + 4*i - 2. Give n(w).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -15861, -15954, -16047, -16140, -16233?\n\"Answer: -93*z - 15768","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 189228.1 years?\nAnswer: 2270737.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 106731713 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) be the second derivative of -4961*p**5\/4 - p**4\/3 - 5*p**3\/2 - 12*p**2 + 21*p. Let b be c(-8). Round b to the nearest 1000000.\nAnswer: 13000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 58839013 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b + 59 = k - 5*b, -367 = -5*k - 3*b. Let z = k - 39. Is z a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2\/22361 - 782679\/491942. What is the common denominator of 35\/6 and n?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -6397 less than or equal to -6397?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2657751?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 8, -4 in increasing order.\nAnswer: -4, 4, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3.64 - -6.36. Suppose 7*k - 4*k = -24. Which is smaller: k or r?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 1 (b) -10\/641 (c) -1 (d) -3\/43\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = 11*t**2 - 4*t - 11. Does 21 divide d(-6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -91 + 95. Calculate the remainder when (-4 - -2)\/(-2)*6 is divided by w.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7237 take away 1.9?\nAnswer: -7238.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 8547316?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 3721650 rounded to the nearest 1000000?\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6)\/20*(-2125)\/(-510)?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d = 3*d - 21. What is the units digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -q**2 - q - 1. Let x(t) = 3*t**2 + 5*t - 2. Let y(b) = -2*r(b) - x(b). Factor y(u).\nAnswer: -(u - 1)*(u + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000427364 rounded to seven dps?\nAnswer: -0.0000043","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = 4*m**3 + 1683*m**2 - 2116*m - 2545. Give l(-422).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1\/(8\/(-52) - (-51)\/78). Suppose -5*k + 5*z = -225, -j*k + 4*k - 4*z - 100 = 0. Sort k, 0, -4 in increasing order.\nAnswer: -4, 0, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -l**2 + 25*l - 32. Let w be n(23). Solve w + 1 = -3*b, 5*b = t - 28 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve l - 14 = 5*j, l - 5 = -27*j + 29*j for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -43 (base 14) to base 8\nAnswer: -73","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -39 + 41. Let v be 6\/(-15) - (-4)\/10. Which is the biggest value? (a) v (b) -5 (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.4, -649\/2, 5 in descending order.\nAnswer: 5, -0.4, -649\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1750 to the nearest integer?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -4 and -56.76?\nAnswer: 227.04","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 3547520 - 0.06732?\nAnswer: 3547519.93268","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*f = 2*m + 4, 3*m - 69 + 81 = 2*f - f for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1000709 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -18.987 + 19. Let k = 20.987 + c. Let r = 15 - k. What is the biggest value in -2\/3, r, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*b**2 + 12*b - 108 - 3*b**3 + 13*b**3 + 16*b**2 - 7*b**2 - 9*b**3 = 0. What is b?\nAnswer: -18, -3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + 13 = -2. Find the second derivative of t*h**3 + 6*h - 8*h - 9*h + 13*h**3 wrt h.\nAnswer: 168*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.172+-889641\nAnswer: -889640.828","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1.7 and 137?\nAnswer: 232.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = 3 + 5*v**2 - v + 2*v - 5. Suppose 16 = 5*m + 6. What is the units digit of z(m)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = y. Let k = 8 - 8. Let d(b) be the second derivative of k - 1\/6*b**3 - b + 0*b**2. What is u(d(g))?\nAnswer: -g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 8545000 rounded to the nearest one million?\nAnswer: 9000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3385.9 - 3386. Are -3.6 and y unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 724 - 365. Let i = a - 333. Solve i*y = 25*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2775*f**2*y**2 - f**2*y + f*i*y**2 - 14*i*y**2 - 4*i + 87*y**2 wrt f?\nAnswer: 5550*f*y**2 - 2*f*y + i*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7 - 2*u - 3*u + 4*u)*(0 + 0 - 3)*(4 - 5 + 3).\nAnswer: 6*u + 42","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -6\/17, 0.403, 0.2, 5 in descending order.\nAnswer: 5, 4, 0.403, 0.2, -6\/17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 59*f = 57*f - 6*l + 10*l + 16, -6 = 3*l - 0 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 25*t + 25 - 0 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 419 minutes before 9:31 AM?\nAnswer: 2:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*z = 0, -3*r - z + 24 = -2*r + 29 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31 - 87 = -2*r. List the prime factors of r.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1004)\/(-1004))\/((40*-1)\/(-2))*(-70)\/(-5)?\nAnswer: 7\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 6.7+-1739.2\nAnswer: -1732.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*t - 3*t - 2*t)*(10001 + 10670 - 4186) as h*t + j and give h.\nAnswer: -32970","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = j**2 + 11*j + 10. Let z be n(-10). Factor -4*v**2 + 3*v**2 + z*v**2 - 2*v**3 + v**3.\nAnswer: -v**2*(v + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 14838, 15335, 16152, 17283, 18722, 20463, 22500?\nAnswer: 24827","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (1 - (-7)\/(-4)) + (-2124)\/(-16).\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 4345 and 12870?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -2163263, -2163143, -2163025, -2162909, -2162795?\n\"Answer: -p**2 + 123*p - 2163385","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m - 34 = 373. What is the tens digit of m?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 54885975 to the nearest integer?\nAnswer: 7409","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: Solve 29*q - 47431 = -94788 + 46835 for q.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*f - 11*f = 17*f - 84. Suppose 5*z = 2*j + 81, 5*j + 30 = 3*z - 2*z. What is the second derivative of z*s**5 + 175*s**4 - 175*s**f + 26*s wrt s?\nAnswer: 300*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*n - 2*n - n + 2*n.\nAnswer: -5*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 5\/8 of a hour?\nAnswer: 2250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 580*a**3*f**3 - a**3 - 1108*a - f**3 - 1 with respect to f.\nAnswer: 1740*a**3*f**2 - 3*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (12\/(-15))\/((-4)\/(-10)). Let s = -5 - m. Sort -4, -2, s in descending order.\nAnswer: -2, s, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) be the third derivative of 0*z + 12*z**2 + 1\/12*z**4 - 1\/60*z**5 + 0 + 0*z**3. Find t such that y(t) = 0.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 206 != -5\/8938?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 112*j - 117*j = -125, 4*r - 42 = 6*j - 172 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 65177.44t to grams.\nAnswer: 65177440000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -456 - -a?\nAnswer: -449","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2190949?\nAnswer: 73, 30013","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -106 - -71 - 14 - -13?\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*s**2\/11 + 86*s\/11 + 120 = 0. Calculate s.\nAnswer: -12, 55","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide -13 by -7.\nAnswer: 13\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d = -5 - 13. Let r be (-8)\/(-18)*3\/d. Which is the third smallest value? (a) -1 (b) r (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*x = -6*x - 12. Suppose x*s + f = -5 + 15, f - 2 = 0. Solve 5 = -p + s for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4 in -37, -4\/5, -8?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 223993919 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2484 divided by -6.\nAnswer: -414","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -8*t - 5. Let c be x(-5). Let q = 2 + 3. Calculate the greatest common divisor of c and q.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -274*b + 208*b - 7 + 450*b + 328*b.\nAnswer: 712*b - 7","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -3040*t + 2956. What is the units digit of p(-5)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*w**2)\/(w\/w**(-4\/9)) assuming w is positive.\nAnswer: w**(14\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 808 - 811. Let n = 5 + -3. Suppose -4 = l + 5*w, -2*w = -n*l - 6*w - 2. Which is the closest to l? (a) v (b) -1\/4 (c) -1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -s**5 + 467*s**4 + 2858*s**3 - 9436*s**2 - 11416*s + 30272 = 0. What is s?\nAnswer: -8, -2, 2, 473","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = l + 9. Let m be f(-9). Suppose m = -4*h + 16 + 4. Let g be -2*(1 - -3)\/(-2). Solve 4*i = 3*i - g*c + 17, -3*c = -h*i - 7 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3922 - -3650. Which is greater: f or -288?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 2, s: 5}. Give prob of picking 4 s.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -71904*x - 16726*x - 11743*x + 3 - 3.\nAnswer: -100373*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 209 + -208.9795. What is r rounded to three dps?\nAnswer: 0.021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f = 4*o - 3*f - 36, -3*f = -2*o + 15. Let s = 0.128 - 128.128. Let g = -125 - s. What is the second smallest value in o, -4, g, -1\/7?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4\/(40\/934) + (-2)\/5.\nAnswer: 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -q - 7. Let f be v(-13). Let g be (14\/3)\/(4\/f). Solve -3*z + 8 + g = 0 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00895833 rounded to 3 dps?\nAnswer: -0.009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -164 - -174. Suppose 0 = -5*s - 4 + 249. Calculate the remainder when s is divided by d.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hhpphhhhhhhhhp. What is prob of sequence pphp?\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -62\/21 in 1\/16, -3, -0.1, 0.1?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -553*k - 2222. Calculate z(-4).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 101010 - -1110110111011010?\nAnswer: 1110111000000100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15103885?\nAnswer: 5, 367, 8231","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 299958 is divided by 44?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*((-2*sqrt(343) + -3 - 2*sqrt(343)*3) + (sqrt(343) + sqrt(343) + sqrt(343)*2 + sqrt(343))*-2 + -4*(sqrt(343) + -2) + sqrt(343))**2.\nAnswer: -2940*sqrt(7) + 302576","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3556947?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) be the third derivative of r**4\/24 + 22*r**2. Let f(j) = -j. Let q = -5 + 6. Give q*p(n) + 4*f(n).\nAnswer: -3*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 46 - -2e?\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 75*f = -34*f + 332123. Calculate the greatest common factor of f and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*p + r - 4, 2*p + 5 = -3*p + 4*r. Let g be 3\/3*p - 0. Let m(f) = -f**3 - 3*f**2 + 6*f + 10. Let w be m(-4). Sort g, -0.5, w.\nAnswer: g, -0.5, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n + 6*b - 3558 = 0, -4*n - 10*b = -8*b - 4762. Is 13 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = w**2 + w + 38. Let g be h(0). Suppose 3*d - 2*y = 2*y + g, -23 = -3*d + y. Let s be (-4)\/d*(-3 - 0). Solve s*j - 11 + 3 = 0 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from gyqqpqqqqyqp. Give prob of picking 4 q.\nAnswer: 7\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xi when two letters picked without replacement from jjxjixixxxxjx?\nAnswer: 7\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(153)\/(sqrt(900)*3 - sqrt(9)).\nAnswer: sqrt(17)\/29","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rr when two letters picked without replacement from crrrrrcrcrrrcrcr?\nAnswer: 11\/24","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 260*l + 42 = 253*l for l.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aij when three letters picked without replacement from {k: 2, a: 2, i: 4, j: 3}.\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 286 and 494.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in thirteen fifths of a litre?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7\/77*(3 - -5*21\/35)?\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -14*((-480)\/700)\/1?\nAnswer: 48\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -323*b - 92521 = -336*b. What are the prime factors of b?\nAnswer: 11, 647","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7331 is divided by 654?\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4651724 (base 10) to base 16.\nAnswer: -46facc","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 341688?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 12913 to the power of 1\/3, to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 19795, 39606, 59415, 79222, 99027, 118830, 138631?\nAnswer: 158430","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -q**2 - 16*q - 1. Let d be s(-5). Suppose 4*v = -5*i + 352, -26 - d = -i + 4*v. Let f = -8 - -23. What is the remainder when i is divided by f?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) be the first derivative of -v**7\/84 + v**6\/48 + v**5\/6 - 5*v**4\/12 - 27*v**2\/2 + v + 81. Let c(f) be the second derivative of i(f). Factor c(m).\nAnswer: -5*m*(m - 2)*(m - 1)*(m + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 123450 and 150.\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(77) - ((sqrt(77) - (sqrt(77) + 1*sqrt(77)*-5 + sqrt(77))) + sqrt(77)))*2)\/(sqrt(22)\/sqrt(32)*-3) + 2.\nAnswer: 2 + 32*sqrt(7)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 4, r: 7}. What is prob of sequence ryyr?\nAnswer: 7\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -21133121 (base 4) to base 10\nAnswer: -38873","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) be the second derivative of 185*t**4\/12 - t**3\/6 + 39*t. What is the hundreds digit of i(1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 3, -6, 6 in decreasing order.\nAnswer: 6, 3, -2, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -16\/65813 and -8\/17949?\nAnswer: 197439","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -6.533 + 6.5. Round m to 2 decimal places.\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-94)\/18*4*6\/(-520) and 87\/40.\nAnswer: 1560","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 3\/32 of a milligram?\nAnswer: 93750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*o + 8*o - o)*(15*o**2 - 8*o**2 - 9*o**2)*(2 - 1 + 8) in the form h*o**2 + c + i*o**3 + q*o and give c.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-192)\/(-576))\/((2\/1)\/(22\/(-1)))?\nAnswer: -11\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-3)\/2)\/((-3)\/20). Let q be (-4)\/(-8) + i\/4. Let m = 4 + q. What are the prime factors of m?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2382, -2\/11, 43476 in ascending order.\nAnswer: -2382, -2\/11, 43476","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = l + 4. Calculate k(-29).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -101010001010010001001110 + 1?\nAnswer: -101010001010010001001101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in 2, -16\/22897, 3, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -a**4 + a**3 + a. Let l(t) = -9*t**4 + 2*t**3 - 3*t. Let c(b) = l(b) - 2*w(b). What is the second derivative of c(g) wrt g?\nAnswer: -84*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -50 = 4*z - 9*z. Let u(j) = -42*j**3 + j**2 - j - 2. Let q be u(-1). Let g = 61 - q. Calculate the remainder when g is divided by z.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((n**0\/n*n)\/(n\/n**(-3)))\/(n**(1\/8)*n*n**(-1)\/n))**(-30) assuming n is positive.\nAnswer: n**(375\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -7*q + 16. Suppose 9 = -x - 5*d, -5*x - 2*d + 105 = -7*d. Suppose -4 = 2*s, -x = 4*z + 2*s - 4*s. What is the units digit of r(z)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*q**4 - 30*q**3 + 24*q**2 + 56*q.\nAnswer: 2*q*(q - 14)*(q - 2)*(q + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.9 - 0.1. Let v = 1 - p. Let g = 55 + -51. Which is the nearest to 0.1? (a) -1 (b) v (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = 338*x - 5043. Calculate s(15).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.7659272ml to litres.\nAnswer: 0.0007659272","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 135 minutes before 10:21 AM?\nAnswer: 8:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor y**2\/3 - 781*y - 4690\/3.\nAnswer: (y - 2345)*(y + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/2? (a) 1\/57 (b) 0.5 (c) -45202\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 35 and 920.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = 3*x**2 - 2*x - 6. Calculate i(3).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*r = 3*r. Suppose m = 5*t + 2 - 4, 2*m - 2*t - 4 = r. Suppose -55 + 16 = -m*v. List the prime factors of v.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 646164.\nAnswer: 2, 3, 31, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 2 + 3.94\nAnswer: 5.94","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 110034 is divided by 5772?\nAnswer: 366","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -12.3 + -0.7. Let s = x - -12.9999972. What is s rounded to six decimal places?\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 197, 0, -8161, 1, 9, 2 in increasing order.\nAnswer: -8161, 0, 1, 2, 9, 197","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 617 is divided by 193?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 341755 to the power of 1\/2, to the nearest integer?\nAnswer: 585","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 40\/(-12)*6\/(-5). Let n(a) be the first derivative of 1\/2*a**2 + 1 - z*a. Give n(5).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) be the first derivative of -16*g**3\/3 - 179*g**2\/2 - 3172. Let t(k) = 2*k**2. Calculate m(t(y)).\nAnswer: -64*y**4 - 358*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -133\/156 - -4\/39. Suppose -2 + 3 = h. Let m be ((1 - h)\/3)\/(-2). What is the closest to 2\/7 in -2\/13, s, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*t + 2*t + 2534 = 2690 for t.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -99*t + 97*t = 54. Suppose -3*z - 14 = -2*n - 0*z, z = -4*n. Let l = n - t. Calculate the remainder when l is divided by 11.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*p + 3*v + 86, 5*v - 4 = p + 52. Sort 5, -1\/8, p in increasing order.\nAnswer: p, -1\/8, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2983 and 19.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -304413 + 0?\nAnswer: -304413","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -y**2 + 6*y - 2. Suppose 0 = -5*c + 42 - 22. Does 3 divide n(c)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -41\/18 and -155\/132?\nAnswer: 396","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -19\/68 and 7\/220994.\nAnswer: 7513796","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -383 - 10*s**2 + 2*s**2 - 201.\nAnswer: -8*s**2 - 584","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -14 times 105\nAnswer: -1470","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -94 = 2*k + m - 123, 3*m - 3 = 0. Solve -4*c + 3*h - k = 4*h, -5*h - 22 = 4*c for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) be the third derivative of -c**4\/24 + 7*c**3\/3 + 284*c**2. Let u be k(9). Determine d so that 0*d**2 + 0 + 11\/3*d**3 + 2\/3*d**u - 3*d**4 - 4\/3*d = 0.\nAnswer: -1\/2, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = 425*x**2 + 2*x - 1. Let u(n) = -6*n. Determine u(k(f)).\nAnswer: -2550*f**2 - 12*f + 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.2*-6.\nAnswer: 1.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*a = 4*a + 30. Let r = a + -6. Let m = 17\/10 + -479\/270. Is m < r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4\/(-32)*-1)\/(-1).\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-158 - (-344647)\/2247) + ((-13)\/(-3) - 0).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3309 divided by 1?\nAnswer: 3309","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 91763161 to the power of 1\/4, to the nearest integer?\nAnswer: 98","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-2 + 0)*(-28)\/4.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -13*b**2 + 7*b + 44*b**2 - 19*b**2 - 11*b**2 to z + d*b**2 + i*b and give d.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of (277 - -2) + (1 + -7)\/(-3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -462c1a (base 13) in base 8?\nAnswer: -6260007","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -266*j - 225 wrt j?\nAnswer: -266","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f = f - 501. Let l be (4 - 2) + 4 + -2. Suppose 2*a - 88 = 4*r, -f = -l*a - 2*r + r. Is a a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*b = -4*p + 36, 43*p - 47*p + 31 = -3*b for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -10*b - 69. Let t be o(-7). What is the nearest to -1\/2 in -3, 0, t?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 31*q**2 - 60*q**2 + 4*q + 1 + 27*q**2 - 3*q + 6*q as p*q**2 + n*q + g and give p.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*x + 28 = -4*i, -56*x + 55*x - 16 = -2*i for x.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (6\/(-5))\/((-1)\/5). Is 11 a factor of 2\/6 + 172\/g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -121122*d*u**2*x**3 - 2*d*u*x**3 - 34*d*u*x - 4*d*u + 2*u*x + 14*u wrt u.\nAnswer: -242244*d*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -2051041, -4102075, -6153109, -8204143, -10255177, -12306211?\n\"Answer: -2051034*o - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: Round -41760.2 to the nearest 100.\nAnswer: -41800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 60924541 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -40\/11 - -258\/77. What is the closest to y in 2, -5\/2, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -3\/25375 (b) -2\/11 (c) 0 (d) -1\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*d + 49 - 49)*(1 - 1 - 1).\nAnswer: -5*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 14162 and 11096?\nAnswer: 146","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 13, p: 3, m: 1}. What is prob of picking 4 h?\nAnswer: 143\/476","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 18624431 + -17?\nAnswer: 18624414","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = 4*z**2. Let a(r) = 6*r**2 - 3*r**2 - r + r. Determine d(a(t)).\nAnswer: 36*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 592429 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -16? (a) 0.4 (b) 1\/8 (c) -3 (d) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = 3 - 166*h + 1 - 183*h + 104*h. What is the units digit of v(-1)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -10 + 2 + h + 2. Let x be f(5). What is the remainder when 42 - (-3 - 1 - x) is divided by 12?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -26942 and -4?\nAnswer: 26938","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -24\/17? (a) -9 (b) -5 (c) 5\/4 (d) -5\/4 (e) -1\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ftf when three letters picked without replacement from ffftfftfftffffftfff?\nAnswer: 140\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*y - 17 = -4*m + 4*y, y = -m + 5. Suppose 7*p + 3*t - 55 = 2*p, -m*p + 48 = -4*t. What is the greatest common divisor of p and 350?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -0.1, -0.4, -2, 1?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 239170741 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 2214312034 (base 5) in base 10?\nAnswer: 4838394","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 293 minutes after 5:28 AM?\nAnswer: 10:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + -1*-2*((sqrt(1872)*2*-5)**2 + ((-2 + sqrt(1872))*4 + sqrt(1872))**2) + -4.\nAnswer: -1920*sqrt(13) + 468124","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -192 + 491. Is v prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.333 + -158.667. Let j = 157.89 + f. Round j to 1 decimal place.\nAnswer: -1.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -7229886 less than -7229886?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 3, j: 4}. Give prob of sequence jjjw.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 l when two letters picked without replacement from yadydddydydlyddl?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 2198561395 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 11.4 + -6.4. Which is smaller: k or -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -8.652 - -13.652. What is the third biggest value in 0, 4, p, -4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 217506 (base 16) to base 6.\nAnswer: 114555050","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -75485 - 33925 = -30*g. What is the thousands digit of g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2278274 is divided by 127.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3126 is divided by 149.\nAnswer: 146","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 205066 or 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1302 (base 5) to base 11.\nAnswer: -174","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 0.4, -76, -3189\/5?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = u**3 + 4*u**2 + u - 3. Let t be l(-3). Let k = 10 - 5. Solve o = -t + k for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 214.6379ug?\nAnswer: 0.2146379","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) be the third derivative of o**5\/4 + 29*o**4\/2 + 23*o**3\/2 + 1073*o**2 + o. Find u such that y(u) = 0.\nAnswer: -23, -1\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) be the first derivative of y**7\/84 - y**4\/6 - y**3\/3 - 8. Let x(g) be the third derivative of u(g). Differentiate x(f) wrt f.\nAnswer: 30*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -550 = -4*v - 230. Does 23 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -31.6586 rounded to the nearest integer?\nAnswer: -32","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00089409 to five decimal places.\nAnswer: -0.00089","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -21, -53, -109, -201, -341, -541, -813, -1169?\n\"Answer: -2*m**3 - 18*m - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 112*o - 72852 = 1513*o for o.\nAnswer: -52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -17\/2 and 17\/12266326?\nAnswer: 12266326","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 18 - 55\/3. Let o = 1780.2 - 1780. Which is bigger: t or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 61473.688 to the nearest one hundred.\nAnswer: 61500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 20 - -21022?\nAnswer: 21102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -42*v - 152. Determine g(-3).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 175 - 47. Is 4 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.0978, 161, 0.2 in increasing order.\nAnswer: -0.0978, 0.2, 161","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 2*((-66)\/28)\/33\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -5*r**3 - 2*r**2 - r + 1. Let k(j) = 5*j**3 + 3*j**2 + 2*j - 2. Let s(z) = -3*c(z) - 2*k(z). Calculate the remainder when 9 is divided by s(1).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2.3 - -2.203. Let g = z - -0.048. What is g rounded to two decimal places?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*m - 4*r + 28, -3*m = 5*r - 12 - 10. Suppose -2*p - 606 = m*p. Let v = p + 232. Is v a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is j in 0 + 2\/7*j**2 - 4\/7*j + 4\/7*j**3 - 2\/7*j**4 = 0?\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -111, 1100, 3625, 7464, 12617, 19084?\nAnswer: 26865","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 <= 1\/537753?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/3, 0.23, -0.14.\nAnswer: -0.14, 0.23, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -110 + 344. Let f = l - -84. Is f a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 480 a multiple of 30?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2617789 is divided by 6218.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -11*h**2*k**3 - 21728*h**2 - 11*k**3 - 2104*k**2 + 7*k wrt k?\nAnswer: -66*h**2*k - 66*k - 4208","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1663252 to the nearest integer?\nAnswer: 118","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -10*q**2 + 570 - 328 - 284 - 30*q**2 wrt q.\nAnswer: -80*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 5944 and 729626.\nAnswer: 1486","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 184755 and 232170?\nAnswer: 26235210","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 49 divide 1715?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve j**5\/2 - 3*j**4 - 5*j**3 + 10*j**2 + 9*j\/2 - 7 = 0.\nAnswer: -2, -1, 1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 21 and 3195?\nAnswer: 22365","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 29163 + -55488. What is n rounded to the nearest one thousand?\nAnswer: -26000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 7349\/216 or 33?\nAnswer: 7349\/216","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -15 - -18. Let h(q) = q**3 + q**2 + 6*q + 1. Calculate the remainder when h(m) is divided by 1\/(-4) - (-171)\/12.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4149429 is divided by 1037211?\nAnswer: 585","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 188 and 29032699.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = 16*m**3 + 6*m - 8. Let d be 1\/((-3)\/(-16)) - 4\/3. Suppose d*h + g = 11, -g + 13 - 14 = 0. Let o(v) = -5*v**3 - 2*v + 3. Calculate h*c(p) + 8*o(p).\nAnswer: 8*p**3 + 2*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 58025 and 605.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (3 - 2)\/((-2)\/22). What is the units digit of -1 - -12 - (-44)\/r?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2\/3 or -2\/495?\nAnswer: -2\/495","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from sqrsa. Give prob of sequence rss.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-6)*s\/s**(1\/15))\/(s**(-1)*s*s)**(4\/13) assuming s is positive.\nAnswer: s**(-1048\/195)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -g**3 - 3*g**2 + 3*g - 2. Let w be t(-4). Suppose -3*b - 78 = -w*h, -7*b + 2*b + h - 130 = 0. List the prime factors of (b\/(-4))\/(1\/2).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2926958?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-43)\/3 - 119\/(-51). Let p(s) = 5597*s**2 + 4*s - 20. Let w be p(h). Round w to the nearest one hundred thousand.\nAnswer: 800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qhhg when four letters picked without replacement from {g: 2, q: 6, h: 5}.\nAnswer: 2\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 34964\/(-6)*39\/(-26) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*j**4 + 30*j**3 - 185*j**2 + 150*j.\nAnswer: 5*j*(j - 3)*(j - 1)*(j + 10)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rtjzjli. What is prob of sequence zl?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 6 - (0 + 0 + 1). Let o(w) = 2*w - 1. Let z(j) = 9*j - 10. Let i(b) = 5*o(b) - z(b). Let y be i(f). Calculate the greatest common factor of y and 80.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -1 - 56?\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 436925, 873851, 1310781, 1747715, 2184653?\nAnswer: 2621595","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 462679 is divided by 105.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 344 a factor of 2112158?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1282733 is divided by 153.\nAnswer: 134","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -200431444 - 3?\nAnswer: -200432002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -85\/29 or -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:40 AM and 2:30 PM?\nAnswer: 410","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.14? (a) 244 (b) 0.2 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -p**2 + 6*p + 10. Let g be t(7). Find the second derivative of 7*a + 11*a**3 + 6*a**3 - 23*a**3 + 13*a**g wrt a.\nAnswer: 42*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1844.5 - 0.1\nAnswer: 1844.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 4779, 4777, 4775, 4773, 4771?\n\"Answer: -2*q + 4781","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1097 - -1105 - (-2 - -2 - 1)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rwbb when four letters picked without replacement from {o: 1, w: 9, b: 2, r: 6}?\nAnswer: 1\/680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -258 + 279.1. Let a = f - 22. Let h = 0.97 + a. Is h less than or equal to -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 965804*c**2*o**2 - 169*c*o**2 + 40*c + 3*o**2 + 2 wrt c?\nAnswer: 1931608*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -11 + (-3 - 5 - -9) + 23?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 294 and 357.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -9b + 76a?\nAnswer: 68b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.3279181 + -12533.6717619. Let u = 12536 + a. Let w = u + -2. What is w rounded to 4 dps?\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18681197 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/11, -4, 4\/7, -372, -0.106 in descending order.\nAnswer: 4\/7, 2\/11, -0.106, -4, -372","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 305 minutes after 7:05 PM?\nAnswer: 12:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 4732, 4712, 4680, 4636?\n\"Answer: -6*y**2 - 2*y + 4740","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3667*o**2 - 182*o - 499607 wrt o.\nAnswer: -7334*o - 182","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -1, 3\/4, 2.6 in descending order.\nAnswer: 4, 2.6, 3\/4, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*o + 5*q = o + 270, -3*o - 2*q = -157. Is (2 - 13\/6) + o\/6 a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = 6*w**3 - 4*w**2 + w - 4. Let l(b) = 7*b**3 - 5*b**2 + b - 5. Let x = -39 - -43. Give x*l(k) - 5*s(k).\nAnswer: -2*k**3 - k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 85008 and 2676.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 20079 and 828.\nAnswer: 207","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0320435328 to four decimal places.\nAnswer: -0.032","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 675946, 675945, 675944, 675943, 675942?\n\"Answer: -d + 675947","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 636 minutes after 5:53 AM?\nAnswer: 4:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z - 116 = k, -5*z + 9 = -2*k - 136. Suppose -j + 4*g = -19, -j - 6*g + z = -8*g. What is the remainder when 309 is divided by j?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of n**6*s - 36*n**4*s - 2*n**4 - n**2 - 31*s wrt n?\nAnswer: 120*n**3*s - 864*n*s - 48*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -48\/11 (b) 2 (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:12 PM and 4:35 PM?\nAnswer: 203","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 0.5*0.069177821\nAnswer: 0.0345889105","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 2076 to the power of 1\/5, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide -17655 by 535.\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 3595, 28543, 96163, 227791, 444763, 768415, 1220083, 1821103?\n\"Answer: 3556*q**3 + 56*q - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of c*k**3 - 14*c*k + 82902*k**3 + 7*k**2 - 196 wrt k.\nAnswer: 6*c + 497412","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = 125*r**3 - 2*r**2 - 4*r + 17. Is s(2) a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 22 + -30 + -30 + (4 - 23).\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -18, 1.2, 1.1, 4 in decreasing order.\nAnswer: 4, 1.2, 1.1, -18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 26832013753 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -2*d**2 + 86*d + 54. Let n be p(43). Solve -6*g - n = -15*g for g.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -5*a**2 - 2*a + 4. Let x(t) = -t**2 - t + 1. Suppose 0*d + 5*d + 30 = 0. Let v(n) = d*x(n) + c(n). Let q be (-6)\/21 + (-52)\/14. Calculate v(q).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -273771.95 rounded to the nearest 10000?\nAnswer: -270000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0018091913 rounded to 4 decimal places?\nAnswer: 0.0018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 3a (base 14) in base 6?\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*a - 4*i = 5*a + 8, -3*i - 9 = 0 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.0236784762 and 3.3.\nAnswer: 3.2763215238","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3464 + 796*s + 641*s + 1528*s + 1121*s + 37*s with respect to s.\nAnswer: 4123","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in b**3 - 2*b**3 + 10 - 15 + 5.\nAnswer: -b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 16\/1*(-12)\/(-12). Suppose 3*x - f = -4*v, x = v - 3*x - 23. Solve 4*t = -v - 1 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 54 + -52. Suppose 5*d - k*d = -0*d. Solve 0 = -d*h + 4*h - 12 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 114805166780 take away -0.01?\nAnswer: 114805166780.01","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u - 10*u + 72 = -5. Let i(c) = -c - 1. What is the smallest common multiple of u and i(-7)?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*k**3 - 5*k**3 + 7*k**3 - 2*k**3 + 4*k**3 + 0*k**3 + 0*k + 0*k + k**3 + (-2*k**2 - k + k)*(1 + k - 1) as y*k**2 + z*k**3 + q + a*k and give z.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8496 is divided by 1061?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -1280, -1306, -1332, -1358?\n\"Answer: -26*o - 1254","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = 24*g**3 - 819*g**2 + 106*g + 14. What is t(34)?\nAnswer: 150","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -10*3\/(-12) + (-639)\/270. Factor 2\/15*l - 4\/15 + x*l**2.\nAnswer: 2*(l - 1)*(l + 2)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + -8 + (-2 + -19 - -39)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 - 9 - (0 - (4 + -10 + 13))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 717047 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r*r*r\/(r**13*r)*r*r*r)\/r**3)\/(r\/(((r\/(r*((r\/(r\/((r**27*r)\/r)*r))\/r)\/r*r))\/r)\/r*r)*r**(1\/2)) assuming r is positive.\nAnswer: r**(-77\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) be the first derivative of -t**7\/7 - t**4\/2 + 9*t + 11. Let w(g) be the first derivative of l(g). What is the third derivative of w(r) wrt r?\nAnswer: -360*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-88 + 36*n**2 + 88 + 10*n**2)*(-6*n**2 - 12*n**2 - 12*n**2) to the form h*n + b + x*n**2 + j*n**4 + m*n**3 and give j.\nAnswer: -1380","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 - 4 + 5*f**2 - 347*f + 5*f**3.\nAnswer: 5*f**3 + 5*f**2 - 347*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l = 5*s - 68, -7 - 65 = -2*l + 2*s. Let n = 19 - l. Let m be (-579)\/n + (-1)\/4. What is the highest common divisor of 16 and m?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 3 + -49?\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 20764755 is divided by 6921582.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n and 1 z when two letters picked without replacement from bznzbzvnvbbvb.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand 504*y**5 + 55*y - 506*y**5 + 70*y - 4*y - y**5 + 4*y + (2*y - 3*y + 3*y)*(4*y**4 - 2*y**4 - 3*y**4).\nAnswer: -5*y**5 + 125*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = b**2 - 3*b. Let t be i(3). Suppose t = 2*r - 0*r - 16. Let w = r + -6. Solve -2*j = -3*o + 21, w*o - j - 28 = -3*o for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = 5*a**3 + 47*a**2 - 31*a + 3. Let v be l(-10). Solve v = f + 16 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2213 a multiple of 100?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 57642 is divided by 2833?\nAnswer: 982","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m = -0*m - 9, 5*m = 5*o - 30. Let n = 12 - -6. Calculate the highest common factor of n and o.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 12709732, 50838929, 114387592, 203355721?\n\"Answer: 12709733*f**2 - 2*f + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (1*(1 + -3*5))\/(-1). Suppose -7*i = -14*i + x. Is i even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -2*l**3 + 65*l**2 + 103*l - 34. Calculate o(34).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -7*w**2 + 607*w + 5374. Give c(-9).\nAnswer: -656","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 114553?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 11 + -7. Let w = k - 3. Is -2\/9 >= w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.7, -4\/15, 1.2, 3, 1, -0.2 in ascending order.\nAnswer: -4\/15, -0.2, 0.7, 1, 1.2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = 14 + 4 + 2*v**3 - 3*v**3 - v + 56 - v**2. What is the tens digit of u(0)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*w + 42 = -6*w. Let d be (w\/4 + -1)*4. Suppose 2651 = d*g + 4*z, -2*g + 923 = 5*z - 835. Is g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 + 3 + -3 + -13 - -10?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = 953*l**3 + 14*l**2 + 17*l. Let s(c) = 318*c**3 + 4*c**2 + 5*c. Calculate -6*i(g) + 21*s(g).\nAnswer: 960*g**3 + 3*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 245283 and 9?\nAnswer: 735849","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7376566?\nAnswer: 2, 67, 55049","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put -98, -10, 1468 in decreasing order.\nAnswer: 1468, -10, -98","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + 4 + -6 + 4 + 8 + 14.\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*k**3 - 3*k**2 - 3*k**2 + 6*k**2 + 4*k + 2*k**4 as y*k**3 + c + t*k + d*k**4 + o*k**2 and give d.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q - 28 = q. Let j be q\/2*(-34)\/(-221). Let y = j - -223\/390. Which is smaller: y or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1681316?\nAnswer: 2, 7, 13, 31, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*((sqrt(1872) - (sqrt(1872) - (sqrt(1872) - 5*sqrt(1872)*-2)))**2 + -3 + sqrt(1872) + (sqrt(1872)*-1)**2)*2.\nAnswer: 144*sqrt(13) + 2740572","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Do 1224293065 and 1224293064 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -18673*h*m**2 + 2*h*m - 2*h*v - h - 37*m**2*v - 80*m*v + 7734*v wrt m?\nAnswer: -37346*h - 74*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1 + sqrt(832))*5 + (sqrt(832)*-2 + sqrt(832))*-2)**2 + 3 + (sqrt(832) + 1 + sqrt(832))**2*-5.\nAnswer: 400*sqrt(13) + 24151","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*g - 6*g. Suppose -u - 5*y + 8 = g, 0*y + 16 = 2*u + 5*y. What are the prime factors of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 362?\nAnswer: 2, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -17794 - -17766 - ((0 - 20) + 0)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 e and 1 f when three letters picked without replacement from ejjjjfjjjbebjjxejjx.\nAnswer: 1\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -15*g - 4. Let t = -4 - -6. Find the common denominator of m(-3) and (3 - -9) + t\/4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -29*c + 3*c - 210 = -12*c for c.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.04, 0, -15\/7?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/(((-24)\/(-40))\/(1\/5))?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 193546*g**5 + 239*g**3 + 18733050*g**2 wrt g?\nAnswer: 11612760*g**2 + 1434","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 m and 1 v when four letters picked without replacement from vmvmvcmm.\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1073, -1612, -2727, -4418?\nAnswer: -6685","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 169 - 93. Let v = -72 + i. Solve -v*n = n + 5 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.00829, -0.179, 4 in increasing order.\nAnswer: -0.179, 0.00829, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z*z**10)**(-19))**16 assuming z is positive.\nAnswer: z**(-3344)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put -8, 452536, -1\/5, -1\/6 in decreasing order.\nAnswer: 452536, -1\/6, -1\/5, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is -15375 greater than -15194?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 21 and 6349?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -414*c - 309*c + 27900 = -103*c for c.\nAnswer: 45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 34, 0.1, 0.4, -4, 1.2, -1\/6?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is -217182 less than or equal to -217171?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -15\/13 and -16\/63.\nAnswer: 819","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 7 + (0 - 1)*-1. Suppose 0 = -y + 4, -77*j = -74*j + y - 1264. Suppose 4*i = d*i - j. What is the hundreds digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -v**2 - 2*v + 104. Let y be u(-11). Solve 3*x + y*t = -0*x + 25, -14 = -4*x + 3*t for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1200 = -17*n + 22*n. What is the units digit of n?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*x**2 + 2*x**2 + 5*x**2 - 33 - 2*x**2 - x**2.\nAnswer: -x**2 - 33","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 177369?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-3 - 2)\/1)\/((-3)\/9). Suppose 1024 = l*n + n. Let x be (-328)\/(-20) + (-4)\/10. What is the greatest common factor of n and x?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 9.9 + -19. Let d = o + 9.09999972. What is d rounded to 6 dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -8*w**2 - 5*w + 501. Let k(u) = -u**2 - u + 1. Determine -g(p) + 6*k(p).\nAnswer: 2*p**2 - p - 495","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1804 and 10?\nAnswer: 9020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 25651 is divided by 121.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 178994 is divided by 3085?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -4 + -22c?\nAnswer: -231","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5795 is divided by 40?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 74389.\nAnswer: 7, 10627","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = 7*m**2 - 707*m + 5855. Suppose 0 = 5*q - 4*t - 14, 2 = -q + 5*t - 3*t. Calculate the remainder when d(92) is divided by q.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 33*r**2 - 3442 + 3442.\nAnswer: 33*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 707 minutes after 12:36 PM?\nAnswer: 12:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = 4*c. Let j(r) = -5*r - 5. Let i be j(-3). Let k(z) = i*z + 1 - 4*z - 7*z. Let s(y) = 3*k(y) + m(y). Determine s(6).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.1+-886.934559\nAnswer: -886.834559","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put together -49.497663 and 0.0111.\nAnswer: -49.486563","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = v**2 + 11*v + 22. Let g be j(-11). Let s be -1 + g + (-3 - -7). Let t = s - 4. What is the tens digit of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.3, 0.2, 3.5, 0.5, -0.5, -1502?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 10100111110110 (base 2) in base 16?\nAnswer: 29f6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 0.2317811834+-0.0427\nAnswer: 0.1890811834","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x - x = 3*h - 17, -3*x = -6. Suppose -3*z + 4*b = -480000, 0 = 4*b - h*b. What is z rounded to the nearest one million?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 68 a factor of 279653066?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = 0 - 8 - 89*o + 105*o + o**2 + 41. Suppose 5*t + 93 = 23. Let w be j(t). Solve 10 + 10 = -w*u for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 18, 25, 30, 33, 34, 33, 30?\n\"Answer: -u**2 + 10*u + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -24 (base 8) to base 4.\nAnswer: -110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 1938351 * -3.5\nAnswer: -6784228.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 1020848, 1020864, 1020898, 1020956, 1021044, 1021168?\n\"Answer: s**3 + 3*s**2 + 1020844","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 18475112?\nAnswer: 2, 2309389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: Let v(s) be the first derivative of 1\/20*s**5 + 0*s**3 + 0*s**2 + s + 2 + 1\/12*s**4. Let r(o) be the first derivative of v(o). Find c, given that r(c) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -4525699 and 19552.\nAnswer: -4506147","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -129 divided by 129\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of ((-74)\/(-8))\/((-1)\/(-4))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*b - 5 = 5*w, -5*w + 39*b = 42*b for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express -40*g + 3*g**4 + g**2 + 42*g - 9*g**2 + g**3 in the form h*g**2 + y*g**3 + q + v*g**4 + a*g and give a.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.01 in 151, 23, 1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -v**2 + 8*v + 13. Let w be l(9). What is the tens digit of ((130\/w)\/5)\/((-2)\/(-12))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -5*w + 275. Is 5 a factor of b(15)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) be the first derivative of -4*i**3\/3 - 8. Let k(o) = o. What is r(k(l))?\nAnswer: -4*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 115 (base 6) in base 8?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = 2*w**3 - 4*w**2 + 8*w + 1. Is m(6) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -289247.2381 rounded to the nearest ten thousand?\nAnswer: -290000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = 3*q. Let s(y) = 5*y - 9*y + 2*y. Calculate t(s(p)).\nAnswer: -6*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (3 + (-58)\/12)*36\/(-2052) and 1438\/72 - 8\/36.\nAnswer: 684","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 366 minutes after 1:29 AM?\nAnswer: 7:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express 366*n - 768*n + 370*n + 362*n in the form b + r*n and give r.\nAnswer: 330","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 0 + 22 + -15 + (-2 - -15)\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5712948?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 33385?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 192270 to the nearest integer?\nAnswer: 438","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 - 157)*(-2)\/(-220)*35915\/1306.\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 467 - 2333\/5. Let w = -0.08 - -0.38. Let x = w + -0.36. Which is the third biggest value? (a) 4 (b) -5 (c) q (d) x\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = l**2 + l + 2. Let m(x) = 4*x**2 + 14*x + 2. Let t(o) = m(o) - 5*s(o). Let z be ((0 - 0) + -1)*-6. Determine t(z).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -2, -9, 7, 3\/10, 5, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1197d (base 16) in base 3?\nAnswer: 10122211221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -145178242 divided by 22?\nAnswer: -6599011","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (0\/3*(-18 + 37)\/(-95))\/10. Factor -1\/3*d**5 + x + 4\/3*d**4 + 0*d + 2\/3*d**2 - 5\/3*d**3.\nAnswer: -d**2*(d - 2)*(d - 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -176 + 179. Let x(v) = 88*v - 7. List the prime factors of x(g).\nAnswer: 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ssibbicbbr. Give prob of picking 1 i and 1 b.\nAnswer: 8\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(sqrt(68) + -1 + sqrt(68) + sqrt(68)) + 5)**2.\nAnswer: 48*sqrt(17) + 9793","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 658218.3 to the nearest one thousand.\nAnswer: 658000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(468)*-2 + sqrt(468) - sqrt(468))*-4*3)\/(-2*(sqrt(576)*-2 + sqrt(576))).\nAnswer: 3*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -32.7 + 33.2. Which is the nearest to 6? (a) -2\/11 (b) d (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -4*c + c - 2*s, -5*s = 0. Let r be -1*(-2*c)\/2. Sort 3, r, -2 in decreasing order.\nAnswer: r, 3, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 99088 to the nearest integer?\nAnswer: 315","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-800)\/14)\/((-11170)\/(-15638))?\nAnswer: -80","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:24 PM and 3:06 AM?\nAnswer: 342","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*n**2 + 7776*n - 586894 = 0 for n.\nAnswer: 77, 3811","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 57.5 - -3112.5. Let h = c - 3235.61. Let v = 66 + h. Round v to 1 decimal place.\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 393 times 1\nAnswer: 393","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) be the first derivative of -h**6\/6 - 1095*h**4\/4 - 551*h**3\/3 - h**2\/2 + 3*h + 10443. Find the third derivative of c(w) wrt w.\nAnswer: -60*w**2 - 6570","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7 - 15 - 8)*((-2*a - 2*a + 2*a)*(-6*a + 2*a + 3*a) + 2*a - a**2 - 2*a) + 14*a - 14*a + 7*a**2.\nAnswer: -9*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -2.8 (b) -1\/2 (c) -0.3 (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4044649533.\nAnswer: 3, 1348216511","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(162) - (sqrt(162) + sqrt(162)*-2 + sqrt(162)))*6 - (4*sqrt(162)*-3 - sqrt(162) - sqrt(162))) + 2 + (0 + sqrt(98))*3 + -3 + 1)**2.\nAnswer: 80802","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = 3*t**2 - 17*t - 39. Does 39 divide j(9)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -16780 rounded to the nearest one hundred?\nAnswer: -16800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -75671070 rounded to the nearest one hundred thousand?\nAnswer: -75700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -57*u + 67*u + 50 = 0 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1940.1 - 1940. Is g not equal to 262.9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-4*sqrt(102) - sqrt(102))*2 + sqrt(102) + -4*sqrt(102)*-1)\/(sqrt(6) + sqrt(6) + 3*sqrt(6)*5 + (sqrt(432)\/sqrt(8))\/sqrt(9))*-5)**2.\nAnswer: 10625\/324","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in fourty-nine quarters of a decade?\nAnswer: 1470","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-36)\/40)\/(-4 - 64\/(-160))?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mdm when three letters picked without replacement from {c: 1, m: 2, d: 1}?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 9 + -9. Let h = f + -0.1. Which is the nearest to h? (a) 0 (b) 5 (c) -2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d = -2 + 10. Suppose -5*x + 13 = d. Put x, 0.4, 2 in descending order.\nAnswer: 2, x, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 30\/(-10)*(-7)\/(-27)*1.\nAnswer: -7\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3965637 is divided by 473.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x = -0*b - 4*b - 32, -36 = -5*x - 2*b. Let o = -48 - -77. Suppose -5*y - o = -69. What is the highest common divisor of x and y?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + 1 + sqrt(2299) - (sqrt(1539) + -2*sqrt(1539))*2)**2.\nAnswer: 290*sqrt(19) + 16004","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 553442577 to the power of 1\/3, to the nearest integer?\nAnswer: 821","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 15 and 110175?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 97401.1t?\nAnswer: 97401100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 l when two letters picked without replacement from upllllullpplpllpp.\nAnswer: 9\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -13653, -27280, -40907, -54534, -68161?\nAnswer: -81788","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(sqrt(11) + sqrt(539)*6))**2*-1.\nAnswer: -81356","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from sjisjlijj. Give prob of picking 2 l and 2 i.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 19*r**5 + 11*r**3 - 8*r**2 + 44692*r?\nAnswer: 380*r**3 + 66*r - 16","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2213, -4424, -6635?\nAnswer: -8846","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 130993454 and 44338.\nAnswer: 6334","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.04*0.17.\nAnswer: -0.0068","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 28561791*c**2 + 303397*c - 19?\nAnswer: 57123582","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1 and 60804.\nAnswer: 60804","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*g + 6 = -6*g. Let z(b) = -7*b**2 - b. Let n be z(g). Is n at most -31?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0033362 rounded to 4 dps?\nAnswer: -0.0033","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -60781463636 - -0.3?\nAnswer: -60781463635.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 130 and 20878.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 149605*i + 14804 wrt i?\nAnswer: 149605","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*h + 4*h**2 + 21*h**2 - 57*h**3 + 17*h**2 + 20*h**2.\nAnswer: -57*h**3 + 62*h**2 - 2*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 197723.72 to the nearest one thousand.\nAnswer: 198000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-108510)\/(-450) + (-2)\/15 is divided by 27?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) -0.27 (b) 16 (c) -0.5 (d) 0.21\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3 + 4. Let o = -47 + -11. Let g = -63 - o. Which is the nearest to r? (a) -0.1 (b) 3 (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 282868541 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express -556*x + 21*x + 36*x + 82*x + 163*x - 42 in the form d + c*x and give d.\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-18)\/(-21))\/(-3 + 260\/84). Solve -g*s = 23 + 22 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0280815643 to three decimal places.\nAnswer: 0.028","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in thirteen eighths of a kilometer?\nAnswer: 1625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 153 minutes after 6:24 PM?\nAnswer: 8:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (1*(-1 + sqrt(1331)) + (sqrt(1331) - (sqrt(1331) + 4 + 2)))**2.\nAnswer: -154*sqrt(11) + 1377","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = z. Let h be q(6). Let t(i) = -7*i**3 - 4*i**2 - 7*i + 6. Let a(l) = 6*l**3 + 3*l**2 + 6*l - 5. What is h*a(w) + 5*t(w)?\nAnswer: w**3 - 2*w**2 + w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11757425 is divided by 19?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 356 a factor of 365551316?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*k**2 - 2*k**2 + 5*k**2)*(9058 + 8065 + 17502 - 5967)*(3 + k**2 - 3).\nAnswer: -28658*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5 - (-136)\/28)*(38\/(-4))\/19?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*i + 2*i = -12. Suppose -5 = -c + 2*o, 5*c - 5*o - 27 - i = 0. What is the units digit of c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -5*v**3 - 349*v**2 + 768*v - 1724. What is z(-72)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3 + 1)*3)\/(-603 + 599).\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2212001 + 12222002?\nAnswer: 22211010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put -6, 2, 1, 4, -5, 8 in decreasing order.\nAnswer: 8, 4, 2, 1, -5, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 336901 - 37*i - 336901.\nAnswer: -37*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 51 (base 15) to base 8.\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 53096 is divided by 235.\nAnswer: 221","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 422188 and 186576.\nAnswer: 65861328","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 17.64635 rounded to zero decimal places?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -102.4529 to the nearest 100.\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + 20 = -2*u + g, -4*u - 4*g = -8. Calculate the least common multiple of u\/(-10) - 29\/(-5) and 20.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35 = -l + 6*l. Let u(f) = -27114*f**3 - 3*f**2 - 7*f - 4. Let a be u(l). What is a rounded to the nearest one million?\nAnswer: 9000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3633 (base 9) in base 6?\nAnswer: 20303","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1*7*(-6)\/(-231)?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 + 2 + 35*v)*(-v + 2*v + v + (0*v - 4*v + 2*v)*(3 + 0 - 5) + v + v - 3*v - 3*v - 3*v - 7*v) as f*v + h + x*v**2 and give x.\nAnswer: -280","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 113 - 23. Suppose -j = 4*j - l. What is the units digit of j?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 0.047923 millennia?\nAnswer: 47.923","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 10080 and 2.\nAnswer: 10080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 98, -1, -3922, 3 in increasing order.\nAnswer: -3922, -1, 3, 98","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/2 + 9\/12\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v + 5*r + 6 = 0, r - 15 = -2*v + 4*r. Suppose 2*o = v*o - 3. Solve 3 + 12 = -o*m for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine m, given that m**2\/2 - 210817*m\/2 + 3161805 = 0.\nAnswer: 30, 210787","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 200 divided by 40.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = 20*g + 1154. Calculate the smallest common multiple of n(-23) and 14.\nAnswer: 4858","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -487 - -216. Let y = 404 + f. Is y prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) be the first derivative of -o**4\/2 - o**3\/3 + o**2 + 334. Let k(j) = 2*j**3 + 2*j**2 - 2*j. What is -3*k(s) - 2*r(s)?\nAnswer: -2*s**3 - 4*s**2 + 2*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (-750)\/(-22) - (60298\/803 + -74)\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 31447\/153504 - (-8)\/(-504)*7?\nAnswer: 3\/32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -6*l. Let j(f) be the second derivative of -12*f - 7\/2*f**2 + 0 + 1\/3*f**3. Let m(x) = x - 4. Let i(s) = -4*j(s) + 7*m(s). What is i(r(v))?\nAnswer: 6*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 527327 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = g**3 + 5*g**2 - 5*g + 3. Let h(c) = -2*c + 2. Let v be (-20)\/6*24\/(-20). Let r be h(v). Calculate p(r).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 3\/3 + (4 - 0). Suppose -z*n = -n - 124. Is n prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -65*k + 64*k - 16 = -s, -s = -4*k - 19. Calculate the remainder when 17 is divided by s.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31 = 5*l + 6. Suppose 7 = 4*b - l. Differentiate 7*v - 5*v + 2 + b*v with respect to v.\nAnswer: 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 51 - 86*r + 83 - 26 + 33*r**2 - 2*r**4 - 76*r + 2*r**3 + 21*r**2.\nAnswer: -2*(r - 3)**2*(r - 1)*(r + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10011000000 - -10?\nAnswer: -10010111110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pup when three letters picked without replacement from vupcpvccvvc.\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-2 - 1) + 2788\/3. Let l = d - 947. What is the common denominator of -62\/21 and l?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -277361625 + 2?\nAnswer: -277361623","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 2478173 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 14853565*x**4 + 4*x**2 - 1227*x - 28?\nAnswer: 356485560*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -2 - 1 + 2 + 5*n - 2*n + 4*n**2. What is z(2)?\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*c + 19*c - 50 = 5*q, 5*q = -4*c - 14 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 538041.3 nanograms in tonnes?\nAnswer: 0.0000000005380413","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = 13*k + 206. Let p be t(-16). Let l = -4 + 8. Let v(g) = -g**3 - 6*g**2 + 5*g + 9. Let c be v(-6). Sort p, l, c.\nAnswer: c, p, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1393331 - -895480. Let x = u - -25851. Round x to the nearest one hundred thousand.\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0001309 rounded to four decimal places?\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -23*i + 13*i + 4*i - 194*i**2 + 103*i**2 + 93*i**2.\nAnswer: 2*i**2 - 6*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 30 and 705.\nAnswer: 1410","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -o + 12. What is the units digit of p(-5)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-2)\/6 + (1 - (-6)\/18). Which is smaller: a or 1\/54?\nAnswer: 1\/54","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -x**2 + 6*x - 6. Let y = 9421 - 9476. Let b = 92 - 30. Let q = b + y. What is i(q)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*d - 2*d + 16. Suppose 0 = i - d - 3. Suppose -i*z + 20 = -3*z. Solve -j + 5*b - 1 + z = 0, 4*j - 16 = b for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 1, s: 17}. Give prob of picking 3 s.\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 205174942 not equal to 410349885\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.245 to two decimal places.\nAnswer: 0.25","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -2*m**3 - 3*m**2. Let b(g) be the second derivative of g**5\/10 + g**4\/3 - 3*g. Let t(r) = 6*b(r) + 7*j(r). Find the third derivative of t(p) wrt p.\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*a - 80098 - 80102 + 4*a + 160201.\nAnswer: 6*a + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1358?\nAnswer: 2, 7, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (10 + 1 + 4 + (-4 - 1 + 4)*(2 - 4 + 4) - 5 + 1 + 2)*(4*s**3 + 0*s**3 - 2*s**3).\nAnswer: 22*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + 105 = 2*k. What is the remainder when k is divided by 19?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*y - 19 + 3. Suppose 0*l + 4*l = y. Solve -l*z = -z + 1 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -205*u - 120. Let x be g(-14). Calculate the common denominator of 145\/36 and x\/792 - (-1 - -3).\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = z**2 + 9*z - 13. Let l(d) = -2*d**2 - 17*d + 26. Let g(u) = 3*l(u) + 5*s(u). Suppose 5*f + 70 = -4*v, -f + 5*v + 3 = -12. Determine g(f).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((5*(sqrt(76) - (1*sqrt(76) + sqrt(76)) - sqrt(76)))\/((sqrt(100) - (sqrt(100)*-2 + sqrt(100) - sqrt(100))) + sqrt(100)) + 5 + 4)*-1)**2.\nAnswer: -9*sqrt(19) + 343\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p + 2*c - 2 = 0, 3*p + c + 3 = 4*c. Suppose -2*t + p*t = t. Solve t = 4*x + 12, 5*f - 2*x + 17 = -x for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -443*t**2 + 1167*t + 486 = 0.\nAnswer: -162\/443, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 494820763 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 133720?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ttmovatomvatmvoavmo. What is prob of picking 1 v, 1 m, and 2 a?\nAnswer: 4\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -30\/11 + 109\/44. Let d = -0.12 - -5.12. Let g be (-14)\/63 + (-68)\/18. Which is the nearest to i? (a) d (b) 3\/4 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 328457598907 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:48 PM and 3:22 AM?\nAnswer: 454","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = 8*h**2 + 2. Let a(m) = -82*m**2 + 332*m. Let j(u) = -163*u**2 + 747*u. Let v(t) = -9*a(t) + 4*j(t). What is s(v(o))?\nAnswer: 59168*o**4 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -15.1813*-0.4\nAnswer: 6.07252","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5 = 2*k - c, 4*k + 3*c + c = -20 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 22, 39, 56, 73, 90, 107?\nAnswer: 124","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5331*a - 2*a**2 + 3 + 0 + 41*a**3 + 5331*a.\nAnswer: 41*a**3 - 2*a**2 + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2 (b) -1\/10 (c) -20\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -1 - 14*n**2 - n + 2 + 0 + 6*n**2. Let b be f(1). Let l be 2 + b\/((-3)\/3). Solve -l = -i - 5 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -5, -13, 212, 2 in increasing order.\nAnswer: -13, -5, 2, 3, 212","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -8\/35115 and -43\/24.\nAnswer: 280920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 114\/(-6) + 6 - (2 - 3).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c - 38 = -c + 3*o, -4*o + 26 = c. Let a be (-5 + 4)\/((-2)\/c). What is the closest to 2\/5 in 0, 0.2, a?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 8766?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -58 in -0.4, -3, 4, -73?\nAnswer: -73","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fswkkwsbswlw. Give prob of picking 1 f and 1 w.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -1799100 to the nearest 10000.\nAnswer: -1800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 49.62675km?\nAnswer: 49626750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12350000 = 5*v + 8*v. Round v to the nearest 100000.\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2\/6 - (-1503)\/(-2835). Let u = 3\/35 + x. Let r = 2.35 - 7.35. Which is the smallest value? (a) r (b) 16 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 984\/(-205)*(-5460)\/(-336)?\nAnswer: -78","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 3543 times 9.2177\nAnswer: 32658.3111","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u = -0*u - 20. Calculate the common denominator of -47\/12 and (-363)\/40 - 1\/u.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -2*d + 59. What is b(24)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v = 4*v - 2*u - 52907, 5*v = 5*u + 88180. Is v prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 3 (b) -359.3 (c) -13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 134038683.\nAnswer: 3, 14893187","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -88*d**2 - 78*d - 9. Let z(o) = -43*o**2 - 39*o - 4. Let u(s) = -4*p(s) + 9*z(s). What is the second derivative of u(g) wrt g?\nAnswer: -70","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 79 = 3*h - c, 2*h - 6*c + 4*c = 46. Let y = h - 20. What is the remainder when 11 is divided by y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -104140 - -61?\nAnswer: -104057","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = 2*o**5 - 17*o**4 - 2*o**3 + 4*o**2 - 13*o. Let s(a) = a**5 - 8*a**4 - a**3 + 2*a**2 - 6*a. Let q(g) = 13*s(g) - 6*x(g). Suppose q(k) = 0. What is k?\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1 - 1122022?\nAnswer: -1122100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 14) to base 4.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -15379 - 329489531*z + 329489531*z + 2*z**2 to the form n*z + d*z**2 + g and give d.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = z - 2*z**3 + 3*z**3 + 0*z. Let o be q(0). Let l = 717 - 713. Are l and o equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -122307461 - -10?\nAnswer: -122307451","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -d + 3. Let k be (-4)\/(-6)*(13 - 1). Suppose k = -3*p - 4. Let v be p\/22 + (-10)\/(-55). Give a(v).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5, -20, -91, -232, -467, -820?\nAnswer: -1315","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -276403 + 94503. Let g = t + 41837143\/230. Let i = g + -1\/46. Which is the second smallest value? (a) i (b) -15 (c) 2\/15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -53 + 757?\nAnswer: 704","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -6*a + 4*a. Suppose -a*p = 12 - 27. Solve 2*u + 2 = -3*h - 14, 0 = 5*h - 3*u - p for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -7947 + 7949. Let x = 10 + -4. Solve j - x = -z*j for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 78 a factor of 662064?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 13*h**2*z + h*l*z**2 + h*l*z + 2*l - 3*z**2 + 19 wrt h?\nAnswer: 26*h*z + l*z**2 + l*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -10*q**2 - 1 + 14*q**2 - 4*q**2 + 6*q**4 - 12*q**2 to the form s*q**4 + j*q + y*q**2 + g*q**3 + n and give s.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 653 + 301?\nAnswer: 1154","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_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: Factor c**4\/3 + 45*c**3 + 2123*c**2\/3 + 663*c.\nAnswer: c*(c + 1)*(c + 17)*(c + 117)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (10\/60)\/((-7)\/(-42))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 28 - 28 + c.\nAnswer: c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -41 = -97*o + 137 + 4284 for o.\nAnswer: 46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -51? (a) 1\/4 (b) -0.2 (c) 0.6 (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 57561 (base 13) to base 9.\nAnswer: 262226","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z + 8 = 3*x - 4*x, -3*x = -3*z. Suppose 2 = -r + z*r. What is the derivative of r - 3 + 0 - 7*f**2 - 9*f**2 wrt f?\nAnswer: -32*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = 2*f - 4. Let n be l(4). Suppose 7*d = n*d + 108. Suppose 0*x + 5*h - d = -2*x, 0 = -2*x - 3*h + 40. What is the units digit of x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 173 + -172.5. Sort 4, c, -1\/6.\nAnswer: -1\/6, c, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3032335 to the nearest integer?\nAnswer: 1741","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*b**2 + 2 + 15*b**3 + 543*b + 5 - 5*b**4 - 558*b + 3 = 0. Calculate b.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -587.55718 rounded to the nearest ten?\nAnswer: -590","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((p*p**(-6))\/p)\/(p*p**(2\/3)*p*p))**(17\/6) assuming p is positive.\nAnswer: p**(-493\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k*k\/((k*k**(-5)\/k)\/k))**(2\/167))**(-43) assuming k is positive.\nAnswer: k**(-688\/167)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 71*n + 3597 = 3810 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0161356775 to three dps.\nAnswer: 0.016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3.4 + -1.41. Let l = 0.01 + w. What is the biggest value in -3\/2, l, -0.5?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -6, -1, 5, -97 in descending order.\nAnswer: 5, -1, -6, -97","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2969*t**2 + 5685*t**2 + 10*t**3 + 67*t**3 - 2716*t**2 + 8*t**3.\nAnswer: 85*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) be the first derivative of 8 + 0*b**2 + 0*b - 2\/3*b**3. Let w(s) = 14*s. Determine w(x(f)).\nAnswer: -28*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 103809*d*p - 1346*p + 10 wrt d.\nAnswer: 103809*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 19995 to the power of 1\/2, to the nearest integer?\nAnswer: 141","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (16\/54)\/((-4)\/(-174)). Let a = 955\/72 - r. Is a smaller than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 116\/171 + -15\/19. Which is greater: -1 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -g - 0. Suppose g*b - t = 1 + 2, -5*t = 3*b - 24. Let x = 8 - b. Solve -4*r - 10 = x*h, 1 + 3 = -2*h + r for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -2 + 0 + 2\/3. Let s = 2113\/6 - 353. Let g = z - s. Which is bigger: 4 or g?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 not equal to -6861\/19397?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -8*x + 5. Let a(u) = -7*u + 4. Let s(k) = -5*a(k) + 4*t(k). Let i(d) = 6*d. Give i(s(o)).\nAnswer: 18*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -10*u**2 + 8. Suppose 4*o - 52 = 4*d, 26 = o - 4*d - 2. Let b(m) = -1 + 7*m**2 + 2 - o*m**2. Give -8*b(n) + l(n).\nAnswer: -2*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1223.4706 + 1194.4705775. Let i = s + 29. Round i to six dps.\nAnswer: -0.000023","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 91100500 rounded to the nearest 100000?\nAnswer: 91100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 7 + -5. Suppose -48*x = -47*x - s. Suppose -4*p - 310 = -5*q, x*p + 114 = 5*q - 46. Round p to the nearest ten.\nAnswer: -80","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -51.97 + 52.27. What is the third biggest value in 0.5, k, -194, 3?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j*j**1)\/j)\/j**(-4)*(j**(-2\/37)\/j*j*j*j)\/(j*j**(-10)) assuming j is positive.\nAnswer: j**(590\/37)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) be the second derivative of 0*r**3 + 0 + 0*r**2 - 8*r + 1\/30*r**4 - 1\/75*r**6 + 0*r**5. Factor p(k).\nAnswer: -2*k**2*(k - 1)*(k + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -3, 2, 425, 0, -4, -2, 4\/19?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 72522 less than 71967?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 36044998.\nAnswer: 2, 11, 17, 96377","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 1533846202 to the power of 1\/2, to the nearest integer?\nAnswer: 39164","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-105)\/(-25) - 3)*(-20)\/(-6). Calculate the highest common divisor of y and 1024.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine p so that -5*p**3 + 950*p**2 + 9495*p - 2909700 = 0.\nAnswer: -53, 60, 183","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 25?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -26 - -41. Let x(h) = -h**2 + 17*h - 21. List the prime factors of x(n).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f = -b + 1 - 14, -b = f - 2. Let v be b\/(-15)*6\/(-18)*6. What is the second smallest value in v, -5, 12\/7?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*p - 5*p + 15 - 85 = 5*q, -q = 21*p + 94 for q.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4781908*c**2 - 1593973*c**2 - 1593971*c**2 - 1593968*c**2.\nAnswer: -4*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 p when two letters picked without replacement from {a: 7, p: 12}?\nAnswer: 22\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -8, -1\/8566, -2, -61, 3?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 9a (base 12) in base 3?\nAnswer: 11101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((6*(sqrt(170) + -1*sqrt(170))*2*4)\/((sqrt(80) - sqrt(80)*1*-1)\/(sqrt(648)*-1)))**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h = -s - 3 - 3, -4*h = 2*s. Let f be -1 + -74*h\/4. What is the greatest common factor of 90 and f?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 933 and 1134.94702.\nAnswer: 2067.94702","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 11686575\/1797934 - 2\/898967. Factor -1\/2*d**4 - 126*d - 162 - t*d**2 + 7*d**3.\nAnswer: -(d - 9)**2*(d + 2)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5 divided by -27\nAnswer: -5\/27","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 14 + (-6 - 2 - -1)\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*c - 2*w + 20 + 15 - 51 = 0, -3*c + 2*w = 2*c + 4 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.02764424581 to six dps.\nAnswer: 0.027644","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -v**2 + 2. Let b be l(-3). Let j(s) = 3*s + 4. Let m be j(b). List the prime factors of (-2)\/3 + m\/(-3).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19661 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 411*b**3*p**2 - 2*b**3*p + 7*b**2 + 10*b*p**2 + 2*b*p + 6 wrt b?\nAnswer: 2466*p**2 - 12*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -5*j**2 + 5*j + 3. Let z(m) = 16*m**2 - 16*m - 10. Determine -10*u(s) - 3*z(s).\nAnswer: 2*s**2 - 2*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 divided by -11323?\nAnswer: -8\/11323","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-47*v + 112*v + 70*v)*(-3 + 0 + 4)*(-2 + 2 - 1).\nAnswer: -135*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 98, 116, 196, 374, 686, 1168, 1856?\n\"Answer: 6*q**3 - 5*q**2 - 9*q + 106","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*t + 3*m - 15 - 0, 3*m = -5*t + 23. Is ((-43)\/(-2))\/(2\/t) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 219 divide 21363231?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = 3075*b - 30782. What is a(10)?\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Add together -2873951 and 0.05.\nAnswer: -2873950.95","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -36 - -35.6. Let j = 1.6 - y. Put -1\/3, 9, j in ascending order.\nAnswer: -1\/3, j, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -4 (b) 15 (c) -1.087 (d) 40.5 (e) 2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 5, s: 1, l: 2, e: 3, y: 5}. Give prob of sequence ey.\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -2010 - 4?\nAnswer: -2014","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -20*x + 17. Let g be 4 - 4 - 5*-5. Let q(b) = 10*b + 7 + 11*b - g. Let n(k) = 6*l(k) + 5*q(k). Differentiate n(z) wrt z.\nAnswer: -15","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000245224283 rounded to 6 decimal places?\nAnswer: 0.000245","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -204.94 + -0.06. Let a = 49900.19885 + -50105.1988603. Let b = t - a. Round b to 6 decimal places.\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -112*k + 170. Let a(i) = -113*i + 170. Let l(x) = -5*a(x) + 4*h(x). What is the derivative of l(b) wrt b?\nAnswer: 117","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 122 + -118 + (15 - 14)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 41, 11, -928, 22, -2 in ascending order.\nAnswer: -928, -2, 11, 22, 41","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 194 minutes after 9:27 PM?\nAnswer: 12:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 40 (b) 8830 (c) -52\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -24 in 0.4, 0.09, -4, -2\/87, 2881?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h - h + 8 = 0. Let k(p) = p**2 + 7*p - 6. Let f be k(-8). Let t = 3 - 6. Sort t, h, f.\nAnswer: h, t, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 30 + 7 + -2 + -45.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j + 2*j + 3*o + 3 = 0, -3*o - 6 = -3*j. Let c(a) = -a**3 - 2*a + 1. Let f be c(-2). Let s = f + 1. Solve 0 = y - 3*r - s, j = 3*y - r + 1 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -s**3 + 13*s**2 + 4*s - 42. Let o be p(13). Let f be (o\/(-15))\/(3\/(-45)). Solve -2*x - f = -n, -x + 5 = 2*n - 0 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 315 is divided by 106?\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 9 + -9. Suppose 2*v - 20 = -z. Solve v = o - 3*o for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + 10 + -7 + -8.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -69, -73, -77, -81?\nAnswer: -85","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 738?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 42\/(-8)*(1 - -11). Let u(x) = 6*x**3 + 32*x**2 + 11*x + 23. Let j be u(-5). Let q be ((-24)\/21)\/(j\/n). Solve h = 2*h + q for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -67158, -268620, -604390, -1074468?\n\"Answer: -67154*i**2 - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5035, 10068, 15101, 20134, 25167, 30200?\nAnswer: 35233","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -6\/5*g**2 + 12\/5 - g - 1\/5*g**3.\nAnswer: -(g - 1)*(g + 3)*(g + 4)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 160436 to the power of 1\/2, to the nearest integer?\nAnswer: 401","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 - 4\/28 - (-1 - (-1016)\/(-56)).\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from raooq. Give prob of picking 4 o.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 + 6 = c. Suppose 0*q + c*q + 7 = -f, 5*f - 73 = 2*q. Calculate the remainder when f is divided by (-4)\/7 + (-265)\/(-35).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) be the first derivative of r**5 + 125*r**4\/4 + 715*r**3\/3 - 845*r**2\/2 + 130. Factor d(z).\nAnswer: 5*z*(z - 1)*(z + 13)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*j**3 + 2*j**3 - 5*j**3)*(-2*j**2 + j**2 + 0*j**2) + (0*j**4 + 0*j**4 + 6*j**4)*(18*j + 10 - 10) + 18*j**5 + 71*j - 71*j.\nAnswer: 127*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -3 + 6. Solve h + 13 = 4*c, 3 = -a*c + 7*h - 2*h for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zaoa when four letters picked without replacement from oazoooooooaz.\nAnswer: 4\/1485","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -f**3 - 3*f**2 + 4*f - 1. Let u = -17 + 13. Let a be s(u). Let l(p) = 6*p**3 + p**2 - p - 1. What is l(a)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -13*t + 2 - 2 to a + k*t and give k.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -367 + 4111. Does 24 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s\/s**28*s**(-29)*s assuming s is positive.\nAnswer: s**(-55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.5800608176912 plus 4?\nAnswer: 2.4199391823088","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gccu when four letters picked without replacement from scfcggcggffgscsuns?\nAnswer: 1\/1224","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*d**(-12\/5)*d*d)\/(d\/(d*d**(-8))) assuming d is positive.\nAnswer: d**(-37\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is t in -3*t**5 + 6543*t**4 + 98583*t**3 + 519957*t**2 + 1086720*t + 658800 = 0?\nAnswer: -5, -4, -1, 2196","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -519 - -519.2. What is the nearest to 2\/3 in -1, -2\/11, 3, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 32\/(13 + -15) - 1023\/(-62)\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b + 4 = -t, 5*t - 16 = -3*b - 1. Suppose -2*c = -4*c + t. Suppose c*g - 47 = -4*y, -4*g = -2*y + 2 - 6. What is the units digit of y?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = -6*h - 2. Let m(t) = 12*t + 10. Let x(z) = -z - 1. Give h*m(p) + 30*x(p).\nAnswer: 6*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 23, 56, 103, 164, 239?\n\"Answer: 7*m**2 + 12*m + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (-1 + 2*sqrt(432)*-5)**2*5.\nAnswer: 1200*sqrt(3) + 216003","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) be the third derivative of -u**6\/20 + u**4\/24 + 13*u**3\/2 - 2*u**2 + 13*u. What is the first derivative of m(f) wrt f?\nAnswer: -18*f**2 + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 505776 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*sqrt(200)*2 + sqrt(200) - 6*(-1 + sqrt(200))**2 - ((-1 + sqrt(200))*-5 + sqrt(200) + 1 + sqrt(200) + 5)**2)*3.\nAnswer: -9381 + 2010*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -7514 + 135121\/18. Let k = 116\/3 + -209\/6. Find the common denominator of k and a.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine d, given that d**5 - 12355*d**4 + 12352*d**3 + 24708*d**2 = 0.\nAnswer: -1, 0, 2, 12354","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 12621209 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -285, 1, 4, 14986.\nAnswer: -285, 1, 4, 14986","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 59919.77+-0.3\nAnswer: 59919.47","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -17\/222 and -41\/30.\nAnswer: 1110","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 18193?\nAnswer: 7, 23, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 10, 895 in ascending order.\nAnswer: 3, 10, 895","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (27\/42)\/(19\/((-133)\/6)).\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 16841538841 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = 2275*z + 446602. Give q(-197).\nAnswer: -1573","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by -5320.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 458 - 318. Is 35 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 112012202 + 2111222100?\nAnswer: 10001012002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 10, -0.14, 1.\nAnswer: -0.14, 1, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -a**2 - 27*a + 10315. What are the prime factors of x(0)?\nAnswer: 5, 2063","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -q + 2. Let m be b(4). Let w be 15\/m*(-6)\/9. Solve -d - 4 + 13 = -5*x, -w*d = 5*x + 15 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -10 + 53*n - 5 + 15 to the form y + g*n and give g.\nAnswer: 53","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/13, -2.7, 0.4, -0.3.\nAnswer: -2.7, -0.3, 2\/13, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1 - -23413?\nAnswer: 23412","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put 2713, 8503, 4 in increasing order.\nAnswer: 4, 2713, 8503","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1080)*-5)\/(sqrt(10) + sqrt(20)\/sqrt(2)*-4).\nAnswer: 10*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2 = -14*d + 68 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is -116202 at most as big as -116212?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) be the second derivative of 8*g**5\/5 - g**4\/3 + 7*g**3\/6 - 5*g**2\/2 - 4*g - 10. Calculate the remainder when m(2) is divided by 36.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 69 and 42?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -805596586057\/7738 - -104109148. Let o = -11\/146 + a. Is o at least as big as 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 719557345*s - 601701275 wrt s.\nAnswer: 719557345","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 775?\nAnswer: 5, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 1 - -160?\nAnswer: 161","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-72)\/(-32))\/(38\/(-16) + 2). Let f be -11*(1\/(-2))\/((-3)\/o). Solve x - f = -4*m + 4*x, -9 = 4*m + x for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 5*c**3*f + 25*c**3 - 6*c**2*f + 2*c**2 wrt f.\nAnswer: 5*c**3 - 6*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 45852 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 3, -14, 1\/5, -1\/8?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13721456.\nAnswer: 2, 7, 101, 1213","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2 (b) -2\/5 (c) 3 (d) 238\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = w + 3. Let k be l(-1). Suppose -2*m - 15 = 3*m. Which is the fourth smallest value? (a) k (b) m (c) -4 (d) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*r**2\/9 + 6620*r\/9 - 1212800\/3.\nAnswer: 2*(r - 480)*(r + 3790)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5 + 4 - (-6 + 5)) + 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-five quarters of a litre in millilitres?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1070245039?\nAnswer: 23, 46532393","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 6 - 5. Let l be (((-12)\/22)\/3)\/w. Which is the nearest to -1? (a) 1\/3 (b) 5 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -99821.1 and -0.6.\nAnswer: -99821.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 103637618081 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(170)*-3 - (sqrt(170) - -1*sqrt(170)*6))\/(sqrt(1440)*-1*3) + 1.\nAnswer: 1 + 13*sqrt(17)\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (1 + (-4)\/6)*63. Let z = 26 - c. Suppose -z*i + b = -0*b - 78, 3*i = 3*b + 54. Calculate the remainder when i is divided by 9.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 5, w: 4, k: 1, o: 1, u: 3}. What is prob of sequence ccc?\nAnswer: 5\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 17, 15, 13, 11, 9?\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3427477\/933966 - -1760\/477. Calculate the common denominator of 133\/6 and y.\nAnswer: 5874","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 1, p: 6, x: 7, f: 4}. Give prob of sequence pp.\nAnswer: 5\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -101\/2 + 49. What is the second biggest value in 3, -2, h, 4\/9?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = 3*i**2 + 42*i + 16. Let r(t) = -2*t**2 - 42*t - 15. Let w(z) = -4*f(z) - 5*r(z). Calculate the least common multiple of 12 and w(19).\nAnswer: 348","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24683 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 4*f**2*m**3 - 2*f**2*m + 3*m**5 - 26*m**2 wrt m?\nAnswer: 24*f**2 + 180*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = 570*m - 1. Let y(j) = -288*j. Give 2*w(z) + 5*y(z).\nAnswer: -300*z - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -126 - -66. Let i be m*(-7)\/((-84)\/1160). What is i rounded to the nearest 1000?\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) be the first derivative of d**2 + 185 - 98 - 93. Let a(h) = -2*h**2. Determine a(y(l)).\nAnswer: -8*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -725 - -730. Suppose -5 = t*y + 5, 5*q + 4*y = 8492. Does 68 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 50*c = 58*c - 16. Suppose 5*p = -4*h + 2925, -c*p + 5*p = -5*h + 1742. What are the prime factors of p?\nAnswer: 19, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 42\/(-294)*(-420)\/(-4).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z + 4*k = -16, 2 = -3*z - 4*k - 14. Suppose z = 6*l + 4*l + 740. Let s = l + 95. Solve 4*y = s - 1 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8146 to the power of 1\/3, to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 2 - 82524?\nAnswer: -82522","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u = 7*a - 2*a - 14, 0 = 2*u - 3*a + 4. What is the least common multiple of -2 + 8 - (-2 - 0) and u?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.010692 to three decimal places.\nAnswer: -0.011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*l**2 + 3*l**2 - 4*l**2 + (4 - 2 + 1)*(2*l**2 - 3*l**2 + 4*l**2).\nAnswer: 8*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 8160 and 584160?\nAnswer: 480","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*i**3 + 51*i - 3*i**2 - 51*i + 4*i**2 as q + u*i**3 + o*i**2 + s*i and give u.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 83608?\nAnswer: 2, 7, 1493","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -n**3 - 11*n**2 - 22*n + 17. Let j be y(-8). Is j at least as big as -1\/24?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z - 8 = 4*j, -3*j + 4*z + 1 = -7. Suppose j = -2*x + x + 21. Suppose -x*c + 19*c = -108. Does 27 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2122, -8531, -19232, -34237, -53558, -77207?\nAnswer: -105196","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 3, s: 8, z: 3, b: 2}. What is prob of picking 1 p and 3 s?\nAnswer: 6\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen quarters of a millimeter in micrometers?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -889 + 871 - (-37)\/1.\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 763906 a multiple of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 79773893 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1\/9, 5, 1\/1179, 0, 8.5?\nAnswer: 8.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1810\/3*i + 590\/3*i**3 + 5\/3*i**4 - 600*i**2 - 605\/3.\nAnswer: 5*(i - 1)**3*(i + 121)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -2*q - 1 - 3*q - q. Let w = 9 - 14. Let j(x) = -x. What is w*j(s) + l(s)?\nAnswer: -s - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -4, 5345\/6, -0.01 in decreasing order.\nAnswer: 5345\/6, -0.01, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*d - d + 15. Let t = 0 + d. Suppose -t*s - 5 = 2*s. Are s and -1 equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13220*n**3 + 9551*n**3 + 4464*n**3.\nAnswer: 795*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let -207\/4*k + 1\/4*k**2 + 153 = 0. Calculate k.\nAnswer: 3, 204","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37 = -m + 4*b, 6*m = 8*m - 5*b - 71. What is the common denominator of 166\/3*1\/(-22) and 2072\/(-3234) + (m\/(-21) - -2)?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 29 bigger than 29?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 11901, 11892, 11871, 11832, 11769, 11676, 11547?\nAnswer: 11376","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1128, 1124, 1118, 1110?\nAnswer: 1100","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 3\/8 (b) 3 (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -3*n**2 - 3*n**2 + 2*n**2 + 5*n**2. Let u(r) be the first derivative of -3*r**2\/2 + 3. What is c(u(i))?\nAnswer: 9*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = 495*c + 110. Let b(h) = 55*h + 12. Let y(k) = -55*b(k) + 6*f(k). Let p(r) = -3*r**2. Determine p(y(q)).\nAnswer: -9075*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2018 and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1.2154 - 1.3154. Which is the fourth smallest value? (a) 5 (b) -2 (c) 1 (d) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1345.\nAnswer: 5, 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 400 minutes before 10:28 AM?\nAnswer: 3:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -a0 (base 15) to base 9\nAnswer: -176","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -11 + 11.4. Let y be (-2)\/(-1) - (-3 - -5). What is the closest to 0 in -0.3, y, h?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) be the second derivative of 7*v**4\/12 - v**3\/6 - v**2\/2 + 11*v - 20. What is a(-1)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from oddooooddoodd. What is prob of sequence dod?\nAnswer: 35\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -116.35 - -116.45. Which is the nearest to w? (a) 10 (b) 1\/24 (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14030 divided by -2806?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:13 PM and 5:46 AM?\nAnswer: 693","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 16 + (-3 - (-3 + 2))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -661290 by -94.\nAnswer: 7035","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -279 = -7*y + 855. Let s = -44 + y. Let o = 210 - s. What are the prime factors of o?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -183, -195, -509, -1365, -3003, -5663, -9585?\nAnswer: -15009","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 5*9\/(-225)*-20\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**11\/t)**(1\/10))**(2\/99) assuming t is positive.\nAnswer: t**(2\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a - 6 = -a. What is v in 2*v**5 - a*v + 5*v - 8*v**4 - 8*v**2 - 2*v**3 + 14*v**3 = 0?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -27 - -22 - 4 - -13\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-8)\/6)\/(-4)*(-4 - -4). Let y(u) = u - 3. Give y(h).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 33\/198 - (-17)\/6. Let y be (x\/20)\/(-4*(-6)\/120). What is the closest to y in 1, -27, -4\/3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 4030 and 2319668?\nAnswer: 11598340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -12466.4*-1\nAnswer: 12466.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 3\/10 of a meter?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 19573 and 153180.\nAnswer: 851","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + 5874 = 3*d - 3493, 3*p + 15656 = 5*d. Solve 0 = -d*i + 3118*i - 45 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 12009874 and 3158.\nAnswer: 3158","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sso when three letters picked without replacement from {s: 2, o: 1, i: 1}?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*n + 6*n - 204 = 0. Does 4 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = o**2 - 513*o - 541824. Let s be w(-523). Suppose -4*v**2 + 4\/3*v**s + 8 + 28\/3*v - 4*v**3 = 0. What is v?\nAnswer: -1, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26*c + 23*c = -429. Suppose -3*z = 4*o - c, 5*o + 19 - 44 = 0. What is the least common multiple of z and 5?\nAnswer: 205","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -12222120211201 - -12?\nAnswer: -12222120211112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 12, 6, 4, 12, 36, 82, 156?\n\"Answer: v**3 - 4*v**2 - v + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -38 by 1278.\nAnswer: -19\/639","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 g and 1 a when three letters picked without replacement from yhgooppagyooggg?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 - 3*q + (1 - 3 + 1)*(-2 + 2*q + 2) + (-2 - 2 + 5)*(3*q - 4*q + 0*q) - 2*q + 4*q + 0*q)*(0*q**2 + 2*q**2 - 5*q**2).\nAnswer: 12*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -18*x**3 - x**2 + 126*x + 4. Let n(g) = 4*g**3 - g - 1. Determine c(k) + 5*n(k).\nAnswer: 2*k**3 - k**2 + 121*k - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 663453?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 27 and 2007?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -117606420*h**6 + 9049*h**2 - 11*h + 83 wrt h?\nAnswer: -14112770400*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) be the third derivative of -z**6\/120 + z**5\/6 - 3*z**4\/8 + z**3\/2 - 19*z**2. Let q be c(9). Suppose 0 = -2*g - 8 - 16. Put g, 4, q in increasing order.\nAnswer: g, q, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -b**2 - 7*b - 1. Let s(d) = d**3 - 27*d**2 + 26*d + 9. Let h be s(26). Suppose 0 = h*k - 28 + 73. What is l(k)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = i - 1. Let c(l) = 3*l - 4. Let u(o) = o + 7. Let z(f) = f - 21. Let v be z(9). Let d be u(v). Determine d*b(y) + c(y).\nAnswer: -2*y + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u - 3*a + 136 = 111, -5*u + a + 25 = 0. Let g(q) = 6*q - 11. Determine g(u).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -38*w = -3*w - 2*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = 4*m**2 - 47*m - 774. What is the tens digit of v(-18)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 18 and 5766?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = 2*p**3 + p**2 + 2*p - 9. Let k(f) = -8*f**3 - 6*f**2 - 11*f + 46. Calculate 11*d(b) + 2*k(b).\nAnswer: 6*b**3 - b**2 - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -t - 6. Let z be p(-5). Let k be 1 + (z - -2) + 22. Let o(g) = -5*g - 2. Let f be o(-2). Calculate the greatest common factor of f and k.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) be the second derivative of -2*s**3\/3 - 3*s**2\/2 + 7*s. Let t be (-402)\/30 - -14 - 13\/5. What is m(t)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -8*c - 281. Calculate k(33).\nAnswer: -545","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 290.002478 + -290. Round g to four dps.\nAnswer: 0.0025","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 44\/16*-1*4. Let b = 28 + h. Let j = b - 15. Are 3 and j non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 32101823867 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 304466?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + 4 = -2. Solve 2*v - 8 = -q + d*q, 14 = -3*v - 5*q for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -4*q + 7. Suppose -3 = -2*v - 5. Suppose -3*c + 3*w - 6 = 0, 5*c + 3*w - 11 = 3*c. Let g(i) = -c - 2*i + 5*i - 2*i. What is v*k(j) - 6*g(j)?\nAnswer: -2*j - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = 45*v - 1182. Let s be p(26). Let j = 5.086 + -0.086. Let m = -1.2 - -1. Which is the smallest value? (a) j (b) m (c) -3 (d) s\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (10\/4)\/(3\/6). Suppose 3*p + 0*k + 2*k - 23 = 0, 3*p - a*k + 5 = 0. Solve -6*x + p*n = -2*x + 24, 0 = 2*x + 5*n - 18 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -n**3 + 5*n**2 + 9*n - 13. Let q be h(6). Is q > 3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -75983\/642276 - 1\/8451. Which is smaller: 1 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g + 2*q - 1 = 3*q, -2 = 2*g + 2*q. Solve 3*u + g*u + 6 = 0 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -3*w + 36. Let g be y(-18). What is the greatest common factor of 18 and g?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10101102 (base 3) in base 12?\nAnswer: -1518","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100100110001 + -10?\nAnswer: -100100110011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -1.31*264\nAnswer: -345.84","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 147492443 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*c**2\/5 - 187824076*c - 22048677203283610.\nAnswer: -2*(c + 234780095)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 314 is divided by 63.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -15 + 78. What is the common denominator of -10\/123 and -1 + 227\/w + 18\/63?\nAnswer: 369","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -520 - -214659.\nAnswer: 214139","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -301.20226 times -0.06\nAnswer: 18.0721356","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: ((-1)\/(-1)*-1)\/(60\/300)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 371733 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*t - 134286 = -134385. Solve -t*z = j - 12*z + 8, 11 = 5*j + 2*z for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 i when two letters picked without replacement from miiiiimiimiiiiiiii.\nAnswer: 35\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*j + 5*j + 302 = 4*d, 0 = -3*j + 3*d + 921. Suppose -p - 68 = -3*p. What is the greatest common factor of p and j?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.4*1214.\nAnswer: 485.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-3)\/5 + (-12)\/5. Let c(u) = -u**3 - 2*u**2 - 4*u - 2. What is the units digit of c(r)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 363485 a multiple of 45?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 40 a factor of 4015?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*k - 4*f + 267, -335 = -12*f + 234 - 289 + 548 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*x**5 - 138*x**4 + 300*x**3 + 83468*x**2 + 1139094*x + 4528062 = 0. Calculate x.\nAnswer: -63, -11, 27","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: ((-54)\/8)\/((-9688)\/448 - -22)\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 840715679.\nAnswer: 840715679","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence in when two letters picked without replacement from nnibnnnnn.\nAnswer: 7\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -208659 take away 0.044?\nAnswer: -208659.044","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**8*z*z**(-2))\/(z\/z**0)**10*(z**(1\/9)\/z**(5\/6))**(3\/28) assuming z is positive.\nAnswer: z**(-517\/168)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 677 is divided by 18?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = 7*n**2 + 2*n. Let t = 1386 + -1388. Let y(d) = 21*d**2 + 7*d. Determine t*y(v) + 7*f(v).\nAnswer: 7*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 94395510 divided by 999\nAnswer: 94490","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 less than -1\/10103251?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 6\/11, -5, -100\/21, -0.3, 0.3 in decreasing order.\nAnswer: 6\/11, 0.3, -0.3, -100\/21, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d + 79 = 3*v + 2*d, d + 5 = 0. Suppose 0 = 3*u + 5*a + v, -2*a - 2 = 3*u + 11. Let f be -114999 - (-2 + (u - -4)). Round f to the nearest ten thousand.\nAnswer: -120000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-99)\/3*5\/(-3). Suppose 3*l = 2 - 17, 5*h + 3*l - v = 0. Suppose 4*q - h*q**4 - 6*q**2 + 24*q**3 - 5*q - 3*q = 0. What is q?\nAnswer: -2\/7, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) be the third derivative of -1153*o**7\/210 - o**5\/60 - o**4\/8 - 5*o**3\/2 - 224*o**2 + 2*o + 2. Find the third derivative of s(a) wrt a.\nAnswer: -27672*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 56 (base 12) in base 14?\nAnswer: 4a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 449.\nAnswer: 449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 19006 and 816?\nAnswer: 456144","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -900*m**2 - 846*m - 199. Let t(o) = -2700*o**2 - 2536*o - 596. Let z(i) = -8*q(i) + 3*t(i). Suppose z(j) = 0. Calculate j.\nAnswer: -7\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -22\/45 + 4\/45. Let s = 3 + 1. Let m be (s + -3)\/((-2)\/(-6)). Put m, h, -4 in decreasing order.\nAnswer: m, h, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = 3*s**2 - 3*s - 8. Calculate the remainder when l(-3) is divided by 7 + 114\/(-18) + 19\/3.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = k**3 + 9*k**2 + k + 11. Let z(b) = b**2 + 13*b + 13. Let h be z(-11). Let i be t(h). Solve -6*s + 4 = -i*s for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = j**3 + 9*j**2 + 7*j - 9. Let m(p) = -2*p - 2. Let w be m(-2). Suppose -5 = n + w. What are the prime factors of f(n)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(4 + sqrt(612)*-2 + 0).\nAnswer: -36*sqrt(17) + 12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1890 - 1886. Solve -o*w = -6*x + 8*x - 18, 5*w - 4*x = 29 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9 - (5 + (-5 - -8)) - (-23 - -1).\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(-5 + sqrt(5)*4 + 1) + ((-2 + sqrt(320) - sqrt(320))*3 - sqrt(320))**2 + (2*sqrt(320)*-1)**2.\nAnswer: 108*sqrt(5) + 1624","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 322 minutes after 4:56 AM?\nAnswer: 10:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-2)\/(-12 + 1 + 1). Let l = 0.09 + -0.99. Let h = l + 1. Are h and j equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 286*d + 0 + 3*d**3 + 4*d**3 - 311*d + 0.\nAnswer: 7*d**3 - 25*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 divided by 77907.\nAnswer: 1\/25969","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h = 13*h - 216. Let b(k) = -6*k - 10 - 7*k - 9*k + h*k. Let y be b(-3). What is the highest common divisor of y and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -28*m**4 + 69*m**3 - 13*m**2 + 5131499*m wrt m.\nAnswer: -336*m**2 + 414*m - 26","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -19253890476\/7931 + 2427675. What is the common denominator of y and -71\/1442?\nAnswer: 15862","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15 = 5*d + 4*c, 3*c = -4*d - d + 15 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 1 - 4 + 2 + 3 - 4 + (-4 + 0 + 2)*(0 - 4 + 2) + 0 + 0 + 1 + 1 - 1 - 2)*(-s**2 - 2*s**2 - s**2)*(7 - 5 - 4).\nAnswer: 8*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 503, 504, 505, 506, 507?\nAnswer: 508","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -15 + 20 - (0 - -7)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -8*t + 9. Suppose 6*m = 8*m + 20. Is v(m) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1 - 1. Let i = -80 + 79. Which is the smallest value? (a) 5 (b) w (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -1724*k - 58618. Determine j(-34).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 23.3 - 23. Let c = -1076 - -1075.7001. Let j = t + c. Round j to 3 decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 33*u + 93198 = 93957 for u.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -3, 1006, 96670, 3 in descending order.\nAnswer: 96670, 1006, 3, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 55888403*f - 92270881 wrt f?\nAnswer: 55888403","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-45)\/27*(-11)\/(715\/4134).\nAnswer: 106","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 1, k: 4, p: 1, u: 1, h: 5}. What is prob of picking 2 h?\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 3.551264 to two decimal places.\nAnswer: 3.55","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 169650.\nAnswer: 2, 3, 5, 13, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1218, 1\/3, -83?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 49819?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:18 PM and 9:29 PM?\nAnswer: 191","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -57*s - 3658 + 7328 - 3670.\nAnswer: -57*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 27*a**4 + 19*a**3 - 148*a + 169186.\nAnswer: 108*a**3 + 57*a**2 - 148","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 3629 and 0.3?\nAnswer: 1088.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c + 0*b = -5*b + 540, 2*c - 2*b = 216. Suppose 2*n - c = 2*y, 3*n + y = -n + 221. Is n composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -24\/5 - -62\/15. Which is the nearest to -11? (a) 0.5 (b) -2 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 1, v: 12}. Give prob of sequence vvvv.\nAnswer: 9\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 6\/139 + -2255\/55461. Let n = 8383\/1596 - q. Find the common denominator of -111\/22 and n.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -245 (base 12) to base 5\nAnswer: -2331","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3 - -6. Suppose -i*g + 0*g + 57 = -3*o, -5*g = 2*o - 60. Calculate the smallest common multiple of g and 12.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6.3, 0, 5\/7, -2\/3, -433 in increasing order.\nAnswer: -433, -6.3, -2\/3, 0, 5\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 36\/7058369 and -33\/9814?\nAnswer: 98817166","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -375*a*o + 12019*a + 54521561*o wrt a.\nAnswer: -375*o + 12019","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) be the first derivative of j**2 - 6. Let h(w) = 5*w. Calculate c(h(v)).\nAnswer: 10*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -100 + 157. Let q be ((-18)\/5)\/(6\/20). Calculate the remainder when 40 is divided by 336\/a - q\/114.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-129)\/(-86))\/((-1)\/2). What is the closest to -1\/3 in 3, n, -0.4, -0.2?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 57 and 300.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 3 + (-3 - -5) - (29 + -29 + 14)\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27 + 5 = 2*b. Let t = -16 + b. Suppose -u + t*u + 3 = 0. Solve 1 - u = -f for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -f + 4*z + 8 - 4, 68 = -3*f - 4*z. Let v be 8\/f*65*(-2 + -4). What is the greatest common factor of 15 and v?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 + 8 + 1 - (-5 - -12) - -6.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + 20 = 2*g + x, x = 5*g - 20. Suppose -k = g*a - 148, 2*k + a - 316 = -3*a. Let c = k - 73. What is the remainder when c is divided by 33?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (3 - 0)*-5 - 3. Let j = l + 30. Let r = 24 - j. Does 7 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 135.4 - 135.73. Which is the smallest value? (a) -6 (b) -2 (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rkrw when four letters picked without replacement from {n: 4, r: 8, k: 1, w: 1, e: 1}.\nAnswer: 1\/585","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f and 1 o when two letters picked without replacement from {d: 1, y: 1, w: 1, v: 2, o: 1, f: 1}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1715 + -1146. What is the units digit of w?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -c**3 - 11*c**2 + 6*c + 19. Let v be r(-12). Let z = 106 - v. Solve b + 2 + 13 = -5*o, -5*o = -5*b + z for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -0.5, -2\/5, -5, 2\/3 in descending order.\nAnswer: 2\/3, 0, -2\/5, -0.5, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 1474316551 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 3, x: 15}. What is prob of picking 3 v?\nAnswer: 1\/816","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -y**3 + 3*y**2 + 3. Let i(d) = -d**3 + 2*d**2 + 2. Let v(o) = o**3 + 13*o**2 + o + 11. Let s be v(-13). Calculate s*t(c) + 3*i(c).\nAnswer: -c**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand 168 - 35*l - 168 + 3 - 3 - 2*l + (-4*l + 5*l - 2*l)*(0 - 1 + 2) + 5*l - 4*l - 3*l.\nAnswer: -40*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = 444*b**2 + 2232*b - 25. What is u(-5)?\nAnswer: -85","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((d**(-3\/7)*d)\/d)\/d)**(-12\/5) assuming d is positive.\nAnswer: d**(24\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6059 (base 12) to base 2.\nAnswer: 10100011000101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6415 - 58912 = -335*n + 79393. What is the greatest common divisor of 3264 and n?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + (2*sqrt(3072)*1 - (4 + 4*sqrt(3072) + sqrt(3072) - sqrt(3072))))**2*1 + -4.\nAnswer: 1024*sqrt(3) + 12348","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -944.17 + 936. Let g = 2.17 + n. Do g and 16 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -7.6 + 2.5. Let h = j - -3.1. Which is the nearest to 2? (a) -2\/13 (b) h (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 57662 = -2*k + 57624, -3*h + 2*k + 47 = 0 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2478 and 3127?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l, 1 b, and 1 y when three letters picked without replacement from mcybmlmmcycbcccbc.\nAnswer: 3\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = 7*x**2 - 4*x + 7. Let y = -165 - -333\/2. Let o(c) be the second derivative of -1\/4*c**4 - y*c**2 + 0 + 1\/3*c**3 + 4*c. Determine -4*h(l) - 9*o(l).\nAnswer: -l**2 - 2*l - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -5812 divided by 2\nAnswer: -2906","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 4, 0.2, 8, -4\/9?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1696 + -1434. What is the remainder when k is divided by 37?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = d**2 + 4*d. Calculate v(-4).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*c - 5*g + 41, -2*c + 1409 = 5*g + 1375 for c.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 104 is divided by 54?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23624 = 930*v - 7066 for v.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -679a - -d?\nAnswer: -678b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*v + 334 - 103 = 0. Let i(u) = 5 + 34*u - v*u - 5. Let x(f) = 16*f**2 - f**2 + 15*f**2. Calculate x(i(h)).\nAnswer: 30*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1\/2*(-14)\/1. Let j(o) = o**3 + 7*o**2 - 8*o - 12. List the prime factors of j(k).\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*p = -2*a + 5*p - 129482, 0 = 5*p. Let d = 49859 - a. Round d to the nearest one thousand.\nAnswer: 115000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -25622, -51235, -76848?\n\"Answer: -25613*o - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*s + 5 + 35. Suppose -136 - s = -f. Suppose -50 = 2*m - f. Is m composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*n - 0*n. Suppose n*u = -u + 2. Suppose -20 = -u*j + 28. What is the greatest common factor of j and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 70 divide 1190?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -9.827743193 to two decimal places.\nAnswer: -9.83","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 61176 is divided by 161?\nAnswer: 157","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -t**3 + 48*t**2 + 2342*t - 3319. Determine m(-31).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -r**2 + 11*r + 15. Let h be l(12). Suppose -2 = -h*q + 34. Calculate the greatest common factor of 4 and q.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 65, 2\/9, -13.4, 2\/17?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i and 1 z when two letters picked without replacement from zzizzzi.\nAnswer: 10\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -298\/3*p - 2\/3*p**2 + 304 = 0. What is p?\nAnswer: -152, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -34129955*q. Let i(h) = -2*h. Calculate j(i(z)).\nAnswer: 68259910*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = 21*f**2 - 3*f + 3. Let o be k(-3). What is the greatest common factor of 134 and o?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 420027 to the power of 1\/10, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -28*c**3 + 41*c**2 - 38*c - 380. What is the hundreds digit of v(-9)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -14*a + 16*a. Let d = -42 - -43. Let h = -1.7 - -2. What is the nearest to d in a, h, 2?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 8\/(6\/12*-4). Let o(c) = -7*c**2 - 30*c - 6. Let z be o(l). Solve 3*k + z = 4*k for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -h**2 - 13*h - 10. Give i(-2).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 532 + -529. Find the second derivative of 20*l**h + 2*l**2 + 98*l**3 - 25*l**3 - 244*l wrt l.\nAnswer: 558*l + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = 1 + 2*p**2 - 1 - p**2 + p**3. Let y(b) = b**4 - 3*b**3 - 7*b**2 - 5*b - 2. Let k(c) = 4*w(c) + y(c). Factor k(z).\nAnswer: (z - 2)*(z + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -4 - -6. Is (0 + a)\/((-8)\/(-1324)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3.7 + 3.7. Is y >= -3.7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 872.\nAnswer: 2, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 4636378 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*a + 8512*j - 8515*j + 59, 0 = -8*a - j - 77 for a.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -34071 by -6245.\nAnswer: 34071\/6245","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 199.3 - 199. What is the closest to 2\/7 in 2\/15, -9, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = z - 4*m + 11, -z - 3*m - 379 = -389 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -16 + 16.4. Let n(p) = p**3 + 9*p**2 + 5*p - 85. Let t be n(-6). What is the closest to t in z, -1, 1\/4?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -27 in -4, -5, 3\/5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7*(136\/126 + 28\/(-126))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -23*f. Let s(h) = -3823*h + 3823*h - 3*h**2. Determine s(o(n)).\nAnswer: -1587*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = c**2 + 5*c - 5. Let k be m(-6). Let w(r) = k - 2*r - 2 - 16*r. Is 17 a factor of w(-1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 146 a factor of 7468?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -11 + -291. Let c = -197 - n. Calculate the remainder when c is divided by 18.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -1\/6, 18, 1\/7, 1\/33 in ascending order.\nAnswer: -1, -1\/6, 1\/33, 1\/7, 18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1179 + -1191. Which is the biggest value? (a) -13 (b) -2 (c) 4 (d) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11720 rounded to the nearest one thousand?\nAnswer: -12000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 390637 and 403.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 37 = 3*k - 14. Suppose 3*c + 4*x - 4 = 0, 6*c + 3*x - k = 2*c. What is the units digit of c?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 5889, 23709, 53409, 94989?\n\"Answer: 5940*o**2 - 51","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34*u = 23*u + 88. Let f = 45559\/1360 + 1\/1360. What is the common denominator of u\/(-352)*1*-27 and f?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1002498781.289999546 + -1002498779. Let g = a + -2.29. What is g rounded to 7 dps?\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1 - (-2)\/2*3. Suppose f - 6 = a*n, 0 = 2*n - 4*n - 2. Solve 0*x + x - 29 = 5*l, 17 = -5*l - f*x for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -458 divided by 3?\nAnswer: -458\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1672 divided by 652.\nAnswer: 418\/163","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 988 and 234.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -q**3 + 5*q**2 - 4*q + 2. Let w be a(4). Suppose 4*d - 3 = -h, 0*h = w*h + 10. Let x be 8502\/338 + -1*(-4)\/(-26). Solve x = 3*z + d*z for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + -4 + (-1 + 30 - (4 + 0)).\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8388676 is divided by 1677709.\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1642750 and 3285500?\nAnswer: 3285500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 16 + -19 - 6 - -23?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = r**2 - 13. Let l be b(3). Let p be -1 + 34\/6 + l. What is the fourth smallest value in 0.4, -3, p, -0.5?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -y + 28. Let l be i(-14). Let s = l + 5. Let v = 52 - s. What is the smallest common multiple of v and 1?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:35 PM and 7:03 AM?\nAnswer: 568","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = j + 2858. Let r be p(0). Suppose 4*g = -4, 2*g - 5390 = -3*k + g. Let u = r - k. Is u prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 71\/212 and ((-3015)\/(-2880))\/(2\/3 + (-40)\/96).\nAnswer: 848","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 46 - 7. Let f = 42 - w. Solve 3*k = f*v - 9, 2*v + v - 15 = 0 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = 11*h - 11. Let k be 3 + -7 + (-30)\/(-3). Let o(i) = 1013 - 1006 - i - k*i. Suppose 0 = 10*j + 55 + 25. What is j*o(p) - 5*v(p)?\nAnswer: p - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1510*t**4 + 49074*t**3 - 189066735*t**2.\nAnswer: -36240*t + 294444","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 5ca7 - 1ceb?\nAnswer: 3eab","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) be the second derivative of 15*h + 9\/20*h**5 + 0*h**2 + 3\/2*h**4 + 0 + 0*h**3. Find the third derivative of l(n) wrt n.\nAnswer: 54","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b = -5*b - 18. Let t(c) = c**3 + 7*c**2 + 6*c + 6. Is 6 a factor of t(b)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n = 5*c - 19, -5*c + 0*c = 5*n - 15. Let m = c + 4. What are the prime factors of m?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in -0.02, -3, -0.5?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 6\/((-1)\/2 + 2). Let i be 20\/30*126\/m. Suppose 3*x - 94 = x - 5*n, x = 4*n + i. Is x a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -9414 + 4428?\nAnswer: -4cb9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -r**2 - 1. Let z(f) = -4*f**2 - 5*f. Let n(s) = -5*m(s) + z(s). Let d be n(2). Which is the smallest value? (a) 8\/7 (b) d (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*i - 18*i + 4*h + 17 = 0, 4*i + 12 = -4*h for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 258248 to the nearest integer?\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -99*f - 34947. Give y(-353).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 190285*m*x**2 - 148*m - 83 wrt x?\nAnswer: 380570*m*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 5.9 + -6. What is the closest to o in 1\/4, -3, 1\/3?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = v**3 + 9*v**2 + 4*v - 2. List the prime factors of s(-7).\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 422 = -2*u + 424 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 51 - -1 - ((8 - -29) + -37)?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -23.5 - -24. Which is the nearest to 0? (a) -7 (b) r (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*1*sqrt(136)*-5*6)\/((sqrt(64) - (1*sqrt(64) + sqrt(64)))\/(sqrt(16)\/(sqrt(8)*2))).\nAnswer: 30*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*l + 5*m - 290, -5*m - 67 = l + 3. Suppose 65*s = 70*s + 30. Is 9 a factor of s\/(2*5\/l)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 173422?\nAnswer: 2, 86711","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 92 = -3*y + 4*l, 3*y + 99 - 130 + 69 = -l - 59 for y.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -47, -499, -1355, -2615?\n\"Answer: -202*v**2 + 154*v + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 5060 and 966966.\nAnswer: 9669660","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v - 82 = 20. Suppose -k + 3*h = k - 24, -5*k + v = -h. What are the prime factors of k?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*((sqrt(132)*-5)\/sqrt(12) - (sqrt(11) + (sqrt(121)\/sqrt(11))**2)*-4)*4.\nAnswer: -4*sqrt(11) + 176","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*g**2\/7 - 2498163*g\/7 - 47464014\/7.\nAnswer: -3*(g + 19)*(g + 832702)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3973 + 2000 - 8*s + 1973.\nAnswer: -8*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n*n*n**(-2\/9))**(-6\/11)\/((n\/n**16)\/(n**(-1\/24)\/n*n)))**(-27) assuming n is positive.\nAnswer: n**(-33237\/88)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*z + 0*z + 638 = 0. Let j = z - -52. List the prime factors of j\/(-21) - 635\/(-7).\nAnswer: 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -3*r**2. Let k(v) = -7*v**2 + 31. Determine x(k(m)).\nAnswer: -147*m**4 + 1302*m**2 - 2883","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 82 a factor of 201884?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 4*(-3)\/48*0. Let m be (-4)\/3*(y - (-6)\/(-4)). Solve 5*a = 2*k - 0 - 15, m*k = -2*a - 20 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 136 minutes after 7:07 AM?\nAnswer: 9:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let -c**5\/2 + 21*c**3 + 76*c**2 + 183*c\/2 + 36 = 0. What is c?\nAnswer: -3, -1, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = 2*s**3 + 12*s**2 - 2*s - 5. Let l(u) = -u**2 - 60*u - 177. Let n be l(-3). Give y(n).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 5 and 110328?\nAnswer: 551640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor -31*c**2\/6 - 61*c + 12.\nAnswer: -(c + 12)*(31*c - 6)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 9\/2 + 18\/(-12). Solve -o*v + 0*v = 6 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11835 to the power of 1\/3, to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 87 divide 3586316?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -32\/5? (a) 1\/4 (b) -0.4 (c) 0.077 (d) 1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 186 minutes before 8:06 AM?\nAnswer: 5:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30*b + 18 = -33*b. Let m(j) = -2*j**2 - 15*j - 15. Let r be m(b). Suppose 5*s = r*s + 38. List the prime factors of s.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3368.67 - -0.086\nAnswer: -3368.584","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 0.04 * -0.06\nAnswer: -0.0024","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 11 - 24. Let l = 29 + g. Is l a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w**5\/8 - 7*w**4\/8 - 5*w**3\/8 + 31*w**2\/8 + 15*w\/4 = 0. Calculate w.\nAnswer: -5, -3, -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 32581 and 341.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 117933105?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 64\/6 + (-2)\/(-6). Let l = 16 - 9. Suppose 0 = -4*n + 2*m - l*m + 147, -114 = -3*n - 5*m. Calculate the greatest common divisor of h and n.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*c - 5*l - 44, -c + 6*l + 159 = 127 for c.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = a**2 - 2*a + 4. Let m(y) = 13*y + 29. Let r be m(-2). Give b(r).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -266 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 7 and 64751659.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -42944757 divided by 14314919?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t + 2*t + 10 = j, -j = -5*t - 14. Suppose -3*i - j*i = -21. Calculate the lowest common multiple of i and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1760116.6 rounded to the nearest 10000?\nAnswer: 1760000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -4 + (-172)\/(-44) + 34\/22*2. Solve -g*w = 2*z - 5, w - z + 0 = -5 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 119785037?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -t + 7. Let s be y(3). Let g be 2\/s*(-18)\/27. Let m = -23\/45 - -1\/9. Which is the nearest to m? (a) -5 (b) -2\/3 (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -65\/6977898 and -37\/2996.\nAnswer: 97690572","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 4\/(-14) + 15804\/55755. Let s = -142\/177 - y. Let o be 21\/28*(-2)\/12. Which is the second smallest value? (a) o (b) 2 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1.6, -2\/5, -29, 0.4?\nAnswer: 1.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -v + 8. Let u be c(5). Suppose -2*x + 5*a + 328 = 0, 5*x - 316 = u*x - a. Is x composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 1, p: 3, m: 10, t: 2}. What is prob of sequence ppm?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*m + 3*m - 9 = -3*h, -3*h + 2*m - 6 = 0. Let x be 4 + 3 + (-2 - 3). Which is the nearest to h? (a) 5 (b) 0.4 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -42 + 7 + (12 - (13 - (-2 + -12)))\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -1759, -6856, -15345, -27220, -42475, -61104, -83101, -108460?\n\"Answer: q**3 - 1702*q**2 + 2*q - 60","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1585285 and 65?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 28061 + 19028. Is i a multiple of 49?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0 (b) 5 (c) 1 (d) -34\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 - -0.72?\nAnswer: -7.28","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3\/(-2) + -51*2\/(-84)?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 164 a factor of 19712149?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -855\/14 + 121\/2. What is the closest to 1\/3 in z, 3, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z = 2*w - 16, 0 = -30*z + 28*z - 4. Solve -16 = -t + w*s - 6, -t - 8 = s for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r - 5*r + 36 = 0. Let t = -225 - -225. Solve -2*g = 2, 4*u + 2*g + 0*g + r = t for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -s - 6*s**2 - 83 + 4*s - 5*s + 89 + s**3. Suppose -4*z = -2*x - x - 24, 5*z - 15 = 0. Let y be (9\/x)\/((-21)\/56). Calculate b(y).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) be the third derivative of -i**6\/24 - i**5\/15 + i**4\/6 - 4*i**3\/3 + 154*i**2. Let m(x) = 14*x**3 + 11*x**2 - 11*x + 23. Give 4*m(w) + 11*y(w).\nAnswer: w**3 + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -21 (b) -1\/2 (c) -718987 (d) -9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3709466 to the nearest integer?\nAnswer: 155","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 4023, 1\/6, 0.4, -2?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 953, 3494, 7727, 13652, 21269?\nAnswer: 30578","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:39 PM and 7:58 PM?\nAnswer: 139","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 25 minutes before 5:05 PM?\nAnswer: 4:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x = 2 - 5, 2*x + 10 = -2*k. Let q(c) = -c**2 - 9*c - 10. Let i be q(k). Let d be (-6*1)\/(-2) + -2. What is the third biggest value in i, -5\/3, d?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:01 PM and 12:25 AM?\nAnswer: 444","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -6*x + 1. Let u(r) = -17*r + 2. Calculate -11*p(c) + 4*u(c).\nAnswer: -2*c - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ytyyytywyyooy. Give prob of picking 2 y and 1 w.\nAnswer: 14\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fxzm when four letters picked without replacement from mvggxffxz.\nAnswer: 1\/756","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = 4*d**2 - 5*d + 2. Suppose -9*b + 229 = -968. Calculate the remainder when b is divided by t(4).\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-45)\/6)\/((10\/(-4))\/(950\/(-114))). What is the third biggest value in -42, h, -5?\nAnswer: -42","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find v, given that -3*v**4\/7 + 2523*v**3\/7 - 517182*v**2\/7 + 1004208*v\/7 + 4097376\/7 = 0.\nAnswer: -2, 4, 347, 492","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:18 PM and 2:48 AM?\nAnswer: 570","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5*sqrt(4598)*-1 + (-5*sqrt(4598)*1 - sqrt(4598)))\/(5*(sqrt(162) + 1*sqrt(162)*-1 - sqrt(162))))**2.\nAnswer: 278179\/2025","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.4? (a) -1 (b) -0.19 (c) -5 (d) -0.3 (e) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 83169.2 millimeters to micrometers.\nAnswer: 83169200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d*d**(5\/3)\/d*d**(3\/5)*d**0\/d**0 assuming d is positive.\nAnswer: d**(34\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -m, 4*w - m + 27 - 7 = 0 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1 - -6. Suppose u - 20*u**2 + 7*u + 16*u**3 + h*u**4 - 5*u**4 - 4*u**4 = 0. Calculate u.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2450410?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 2200 (base 3) in base 4?\nAnswer: 1020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -1830*t**2 + 913*t**2 + 918*t**2. Let m(z) = -12*z. Give m(q(u)).\nAnswer: -12*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -19.77 to zero decimal places.\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) be the third derivative of -q**4\/24 + 2*q**2. Let c(g) = 96*g**2 - 1310 - 1310 + 3925 - 1305. Calculate c(r(n)).\nAnswer: 96*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*n - 21*y + 18*y - 12 = 0, 4*n + 3*y = -12 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -376857568*r*z**3 - 3*r*z**2 + 2*r*z - 79691706*z**2 wrt z?\nAnswer: -2261145408*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) be the third derivative of -71*y**6\/360 - 5*y**4\/8 + 131*y**3\/6 - 4*y**2 + 2*y. Let d(q) be the first derivative of g(q). Differentiate d(v) wrt v.\nAnswer: -142*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = h - 26. Give i(5).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 152819 divided by -70.\nAnswer: -152819\/70","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(76)*6)\/(sqrt(4) - (sqrt(64)\/sqrt(4) + sqrt(4) - sqrt(4))) - (-3*2*sqrt(152) + sqrt(152) - sqrt(152))\/(sqrt(512) - sqrt(32)).\nAnswer: -5*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 93\/596 and 5\/14?\nAnswer: 4172","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-2)\/8 + -1 + 4385\/20. What are the prime factors of (-29 - -28)\/((-1)\/h)?\nAnswer: 2, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -5*h - 85. Let p be k(-17). Is 4 a factor of -5 + (355 - 5) + p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -44 - -44 - (-25)\/(-7) - (-8)\/14?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 324409065*w**4 + 234119768*w?\nAnswer: 3892908780*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 u, 1 q, and 1 v when four letters picked without replacement from yuuvyyqyyqquuuq?\nAnswer: 8\/273","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = z**3 - z**2 + 18 - 13*z**2 - 14*z**2 + 34*z - 2*z**2. Let m be q(29). Is m >= 162?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 378.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -62 + -32. Let g(l) = -9*l**3 - 2*l**2 - l. Let w be g(2). Let r = w - f. Calculate the highest common factor of r and 60.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 8836?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 4799 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express 12 + o**2 - 2 - 23*o + 43*o - 21*o as u*o**2 + g + n*o and give n.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t + 102 = 3*t. Let g = t - -53. Suppose 5*n = -5*o + 10, 4*n = 7*o - 2*o - 46. Solve -g*m = -4*m + o for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = 167647*b. Let r(d) = -4*d**2. Give p(r(z)).\nAnswer: -670588*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 + -4 + -3 + 6.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (12\/(-36))\/((-7)\/(-6)*1)?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 5122833 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p + 83 = 86. Let r(k) = k + 1. Let w(d) = 15*d**2 - 32*d + 16. Let z(h) = p*w(h) - 4*r(h). Find o, given that z(o) = 0.\nAnswer: 2\/5, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1\/(2967\/(-741) - (0 + -4)). Let p = 1.736 + -1.836. Which is smaller: j or p?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1.73 times 839298\nAnswer: 1451985.54","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -242 - 234 + 479 - 5*s - 2*s**3. Let l(d) = 3*d**3 - 2*d**2 + d + 1. Let r(q) = -q**3 + q**2 - 1. Let x(v) = l(v) + 2*r(v). Calculate -j(t) - 3*x(t).\nAnswer: -t**3 + 2*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in seventeen quarters of a millennium?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 4 + -2. Suppose -h - 38 = k. Is (15\/(-6))\/(4\/h) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(-3 + -3 + 1 + sqrt(325)))**2 + 4.\nAnswer: -50*sqrt(13) + 354","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 25 minutes after 1:23 AM?\nAnswer: 1:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30*q = -26*q - 184. Let c = q - 31. Suppose -3*z + 136 = 5*j, 0 = 3*z + j - 119 - 9. What is the remainder when z is divided by c?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) be the first derivative of 11*j**2 - 4. Let b(s) = 2*s. What is b(w(x))?\nAnswer: 44*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1932\/(-805)*20\/(-6).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2468*k = 2477*k - 288. Let l(i) = i**2 + 6*i + 7. Let f be l(-5). Let z = k - f. Is z even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 600?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/(z**(2\/13)\/z))\/(z\/z**(-10\/9)) assuming z is positive.\nAnswer: z**(-31\/117)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 16079 is divided by 8.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 20 + -15. Suppose -3*c = -2*r + 18, l*r - 4*c - 27 = 2*r. Suppose 6*g - g - 10 = 0. Calculate the least common multiple of r and g.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 674958610 to the power of 1\/2, to the nearest integer?\nAnswer: 25980","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -27 - -47. Let c = -103\/150 - -14\/75. Which is bigger: k or c?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 16726962?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ryi when three letters picked without replacement from {m: 5, y: 3, r: 8, i: 1, j: 2}?\nAnswer: 4\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2\/(-1) + 96\/6. Suppose x - 10 + n = 0. Put 0, x, -5 in increasing order.\nAnswer: -5, x, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1444 + -844. Does 50 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 7659 + -38283\/5. Find q, given that 4\/5*q**2 + 0 + x*q = 0.\nAnswer: -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 213 divided by 2\nAnswer: 213\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -80*h + 80*h - 71*h**2 to the form u*h**2 + l*h + d and give u.\nAnswer: -71","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put 37, -1, -5, -28, 1, 1982 in descending order.\nAnswer: 1982, 37, 1, -1, -5, -28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 492 and 48?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = a + 6. Let b(k) = k - 13. Let c be b(7). Let w be u(c). Let i(l) = -l. Let h be i(w). Solve h = -4*p + 4, d - 5*p = -3*d - 9 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -579, 1, 11937, -1, 4, -5, -3 in decreasing order.\nAnswer: 11937, 4, 1, -1, -3, -5, -579","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*y**2 - 2 - 2*y**3 + 3*y**3 + 72*y**2 - 186*y**2 + 2*y**3 in the form p + t*y + g*y**3 + l*y**2 and give g.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 54 = -4*j + 4*x + 74, 4*j + 2*x - 8 = 0 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2858\/37157 or 0?\nAnswer: 2858\/37157","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 6\/37 in -0.5, 0.3, 0.2, 4\/5?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-15)\/10*((-60)\/(-135))\/((-12)\/(-9))?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 100, -10, 10, 3, 2 in ascending order.\nAnswer: -10, -4, 2, 3, 10, 100","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 7\/(5 + -1 + -3). Solve 3*l = k*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1000101000011101 - 100?\nAnswer: 1000101000011001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -t**3 + t**2 + t - 1. Let z(x) = -6*x**3 + 5*x**2 + 5*x + 6. Let b(p) = 5*m(p) - z(p). What is the derivative of b(j) wrt j?\nAnswer: 3*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = 7*x**3 - 47*x**2. Let u(s) = 5*s**3 - 48*s**2. Determine -2*c(n) + 3*u(n).\nAnswer: n**3 - 50*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17*v + 55*v - 100*v - 75*v.\nAnswer: -137*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.1, 2\/19, -6634?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 441 smaller than 442?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 36696405 is divided by 1038.\nAnswer: 1029","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j + 10 - 4 = 4*i, 3*i = 4*j + 2. Suppose 3*x - j - 17 = 0. Solve 2*k + x + 4 = 0 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 52909 is divided by 2645.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y*y*(y**0*y)\/y*y*y)**(19\/2)\/(((y\/y**2)\/y)\/y**(-2\/7)) assuming y is positive.\nAnswer: y**(278\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.4 and -74659.6?\nAnswer: -29863.84","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is (-12)\/(-18)*6216 - 4 a multiple of 57?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sds when three letters picked without replacement from sddsvvvddsdvsds.\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) be the second derivative of -3\/80*u**5 + 1\/120*u**6 + 0*u**2 + 3*u - 13 + 0*u**3 + 1\/24*u**4. Factor v(d).\nAnswer: d**2*(d - 2)*(d - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 21547964 by 21547964.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 1413177.78 hours in weeks?\nAnswer: 8411.7725","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(sqrt(396) + sqrt(396) + 1)*-5.\nAnswer: 15 + 180*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 539 minutes before 1:02 PM?\nAnswer: 4:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.64609651 to 1 dp.\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-1)\/(-2))\/(1\/(-12)). Let u be 11\/3 - 2\/m. Suppose 3*q = -3*x, u*q - x = -0*q + 10. Sort -3, 5, q.\nAnswer: -3, q, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vvvv. Give prob of picking 4 v.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4594 by -1433.\nAnswer: -4594\/1433","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 100\/450 + (-1436)\/(-18) is divided by 40?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -5*j**2. Let c(t) be the third derivative of -t**7\/504 - 4*t**4\/3 - 14*t**2. Let k(i) be the second derivative of c(i). Determine w(k(r)).\nAnswer: -125*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zlllzlllelleeezzl. What is prob of sequence lz?\nAnswer: 9\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c**4\/3 - 189435568*c**3\/3 = 0. Calculate c.\nAnswer: 0, 189435568","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*u - 12 = 4*f, -187*f - 1 = -182*f - u for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-4)\/(-8))\/((-2)\/48). Let z = 329 - 340. Let u = z - r. Solve -s = -v - u, -s - 3*v - 27 = 2*s for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -137.92 - -141. Let i = w + -3.08. Which is the second biggest value? (a) 0.4 (b) i (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = 2*p - 2*b, -53 = -p - 4*p + 2*b. Solve -40 + 14 = -p*w for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -27708, -27710, -27714, -27720?\n\"Answer: -l**2 + l - 27708","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of (4\/18 - 375720\/(-54)) + (-70 - -73)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12\/36 - (-8 + 3\/(-18))?\nAnswer: 17\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n = 5*h - 539, 4*n + 2*h - 3*h = 569. What is the hundreds digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = q**2 + q - 1. Let w(t) = -4*t**3 + 26*t**2 - 18*t - 2. Let f(p) = -2*c(p) + w(p). Determine y, given that f(y) = 0.\nAnswer: 0, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) be the second derivative of -d**5\/20 - 23*d**4\/12 + d**3\/3 + 25*d**2 - 3*d + 2. What is f(-23)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 175791 and 175790 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*f = -s - 13, -5*f = 4*s - 6*s + 26 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -90139221*h + 33565212 wrt h.\nAnswer: -90139221","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -578 + 306. Let f = q - -285.1. What is f rounded to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h + 15*x - 10*x = 495, 1002 = 4*h - 2*x. What is the remainder when h is divided by 36?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 293 is divided by 10?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -7434 + 7415. Which is the fourth biggest value? (a) y (b) -1.6 (c) -4 (d) -0.2 (e) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2841759285?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:46 AM and 5:32 AM?\nAnswer: 166","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -0.18*8643\nAnswer: -1555.74","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8868.\nAnswer: 2, 3, 739","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = 3231*b**2 + b. Let z be r(1). Suppose 3*c = 5*k - 6260, -5*c + z = 5*k - 3068. Is k composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -26860, -107501, -241902, -430063, -671984, -967665?\nAnswer: -1317106","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s - 3 = -2*d + 7, 3*d = -s + 11. Let c = -11 + 13. Suppose z + c = -5*t + 6*t, 5*z - 38 = -3*t. What is the lowest common multiple of t and d?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o*o*o*o**(-16)*o*o*o*o**(-6)*o)\/(o**(-3\/14)\/(o\/((o\/o**(-9))\/o)*o)))**39 assuming o is positive.\nAnswer: o**(-11895\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 101474?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1\/8 (b) 622 (c) 2\/15 (d) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b - 2*u + 7 - 14 = 0, -2*u = 2*b - 14. Suppose 0*v = -5*c + 2*v + 1238, b*c - 741 = 3*v. Is c a multiple of 31?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 4, 14, 32, 58, 92?\n\"Answer: 4*k**2 - 2*k + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**(12\/13)*p\/(p*p*p\/p**(-1\/3))*p**21*p*p**(-27) assuming p is positive.\nAnswer: p**(-250\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15490?\nAnswer: 2, 5, 1549","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s - 2 + 17 = 0, -z + 3*s + 12 = 0. Solve 0 = -2*p + 10, 4*p + z = 4*m + 7 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + 3*o = 2. Suppose 5*k = -o*j + 27 + 37, j + 22 = 2*k. Let h = k - 7. Solve 5 = -2*d - h for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 42 - -28068695611\nAnswer: 28068695653","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ev when two letters picked without replacement from {e: 7, v: 1, h: 6}?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 3*-2*(-10)\/4. Let g be ((-4)\/((-20)\/85))\/1. Let f(l) = l - 15. Let n be f(g). Solve n*q = -3*q + b for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 4 - 5. Let j be (v - 1) + 6\/1. Let b = 6 - j. List the prime factors of b.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2291104 divided by 6?\nAnswer: 1145552\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 12 - 17. Let x = f + -4. Suppose 3*g - h + 33 = 0, -42 = 16*g - 12*g - h. Is x > g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 49*n - 47*n = -6 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f - 2*f + 1 = 3*c, -2*c + 1 = -f. Let n = 707 - 705. What is the third smallest value in c, -1\/3, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-1 + 2)*-2)\/2*-30. Factor 21*o - 2038*o**2 + 1017*o**2 + 1018*o**2 - x.\nAnswer: -3*(o - 5)*(o - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -194, -389, -582, -773, -962?\n\"Answer: m**2 - 198*m + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) be the second derivative of 7*b**6\/60 + 3*b**5\/4 + 43*b**4\/24 + 2*b**3 + b**2 - 2*b. Find a such that l(a) = 0.\nAnswer: -2, -1, -2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(-1 + 2*(sqrt(125) + -5*(1 + sqrt(125) + sqrt(125)) - sqrt(125)) - (-5 + -1*sqrt(125) + -3 + -4)))**2.\nAnswer: -4750*sqrt(5) + 1128150","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*w - 5*w - 5*c + 97, 4*w + c = 101. Calculate the remainder when w is divided by 3.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -20 - -9 - -29 - 11?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) be the first derivative of -59*z**6\/3 - 2*z**3\/3 + 201. What is the third derivative of i(m) wrt m?\nAnswer: -7080*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 61163576?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -r - 4. Let u be s(-4). Suppose u = 4*o + 2*c - c - 107, -4*o = -4*c - 92. Is o a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:25 AM and 6:25 AM?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -458 = 3*j - m + 627, 375 = -j - 3*m. Let n = 10 + -223. Let c = n - j. Calculate the greatest common factor of c and 30.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.067 + -0.017. Let v = u - 0.050436. What is v rounded to 4 decimal places?\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -17840993480 + 5\nAnswer: -17840993475","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 196830 and 2754?\nAnswer: 162","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-7 - (0 + 2))\/(-1). Suppose 4*d = 6*v - 5*v + 180, 5*d - 3*v - 225 = 0. What is the highest common factor of i and d?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -5\/9 and (-5)\/15 - 250\/42.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -30 (base 14) in base 5?\nAnswer: -132","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Are 543134 and 542975 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/(-2) - 2)*(85\/20 + -4)?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -4.2 - -0.2. Let a = 1340 + -1342. What is the closest to 12\/11 in a, p, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1985, 2219, 2831, 4007, 5933?\nAnswer: 8795","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 + 0 + 0)*(55 - 10 + 48)*(-84*f**2 + 4*f + 31*f**2 - 2*f)*(6 - 3 - 2) in the form u*f**2 + o + p*f and give p.\nAnswer: -372","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 157131734 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.394 + 2.394. Let b be (-6 - -3)*(-1)\/(-9). Sort v, 0, b in increasing order.\nAnswer: b, 0, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/((c\/(c**2*c*c))\/c*c))**27\/(((c\/c**10)\/c)\/(c**6*c)) assuming c is positive.\nAnswer: c**125","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 15 - 15.6. Put k, 1, 0.4 in increasing order.\nAnswer: k, 0.4, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.04263 to two decimal places.\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3243 and 10764?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + (sqrt(2816) - (1 + sqrt(2816) + sqrt(2816)))*-3 + ((sqrt(2816) - 2*sqrt(2816)) + 0 - (sqrt(2816) + -1 + 1 + sqrt(2816))))**2.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -4 + 1. Let l = 71915\/8 - 8977. What is the common denominator of 2 + s + 62\/3 and l?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1531217 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 127 and 85825076?\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 277472 divided by 416?\nAnswer: 667","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find s such that 4*s**3 + 24*s**2 + 12*s - 40 = 0.\nAnswer: -5, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = 286687*d. Let m(f) = -88*f**2. Calculate s(m(i)).\nAnswer: -25228456*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.18 times 127169?\nAnswer: 22890.42","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*m - 761 + 744 = 0 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = 19*f**2. Let x(w) = -3*w**2 + 8*w - 2. Let y(c) = 4*c - 1. Let t(q) = -x(q) + 2*y(q). Calculate s(t(o)).\nAnswer: 171*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = 4*g**2 + 1. Let r(c) = -191*c**2 - 7. What is 4*q(d) + r(d)?\nAnswer: -175*d**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13580?\nAnswer: 2, 5, 7, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32 = -2*p + 4*p. Let a be p\/(-9) - 28\/(-126). Is a at least 13?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in one twentieth of a microsecond?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -5, -0.162.\nAnswer: -5, -0.162, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1000111110111 + 10?\nAnswer: 1000111111001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1599 + 21.\nAnswer: -1578","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -172*c**2 - 283*c + 269998.\nAnswer: -344*c - 283","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -6 - 27\/(378\/(-140)). Let n = -0.1 - -0.1. Which is the nearest to o? (a) n (b) 2 (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -25 + 45. Suppose 2*x = 3*h - 2*h - 4, 4*x - 5*h + z = 0. Is -1\/6 bigger than x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 6 - 60. Let o = u + 54.00000173. What is o rounded to 7 decimal places?\nAnswer: 0.0000017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) be the first derivative of o**4\/16 - o**2\/8 + 6. Suppose y(n) = 0. What is n?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 98*v**4\/9 - 4444776*v**3 + 453639549672*v**2 - 11662812838080*v + 74970502300800 = 0. What is v?\nAnswer: 90\/7, 204084","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mddmmmdmmm. What is prob of sequence mmd?\nAnswer: 7\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b - 9*b + 11178 = 0. Let f = 2955 - b. Is f - (36\/4 - 4) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l = 2*l, m - 3*l = 8. Let b(q) = 11*q - 90. Let a be b(8). Let k = a + m. Let j(f) = 2*f - 8. Determine j(k).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 28*(-95)\/7315 + 9\/462*26. Find q, given that 0*q**4 - 15\/7*q - 10\/7*q**3 - 4\/7 + i*q**5 - 20\/7*q**2 = 0.\nAnswer: -1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a + 6 = 5*a. Suppose a = o + g + 5, 9 = 3*g. Let v be ((-154)\/(-28))\/(o\/(-4)). Calculate the highest common divisor of v and 99.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4\/((-24)\/21))\/((-8)\/16)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -35 + 10 + (-159 - -149)\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8075622 (base 9) to base 12.\nAnswer: 1535432","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*-3*(-5 + -1 + (3 + -3*sqrt(17)*-6 + 3 + 2*sqrt(17) + -1)**2).\nAnswer: 600*sqrt(17) + 20457","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -255*f**2. Let x(n) = 9*n**2. Determine l(x(b)).\nAnswer: -20655*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 46, -5, 5, 1 in ascending order.\nAnswer: -5, 1, 3, 5, 46","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*d + 13*d - 10. Suppose 3*v + 5*z = 7, -2*v - 7*z - d = -2*z. Solve -4*j + v = -7 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*p + 17*p = 5*r + 32, 2*r + 8 = 0. Solve 5*d = 4*d - p for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -19.1456067 - 0.04.\nAnswer: -19.1856067","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -22 - -22. Suppose 2*t + p - 8 = 0, 5*t + m*t - 17 = -p. Suppose b + 3*b - t*s - 267 = 0, 5*b = 2*s + 339. What is the units digit of b?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ff when two letters picked without replacement from fffff?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.16 * -2.3.\nAnswer: 0.368","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -d**2 + 9*d + 1390. What is k(42)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -115666527*q**2 - 744301489 wrt q.\nAnswer: -231333054*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -8*c**2 - 7*c + 19*c**2 + 19 + 0*c**3 + 3*c**3 - 4*c**3. Is 5 a factor of k(9)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32*x + 4183 = 121*x. Let u = 24 + -17. Suppose -4*v + 5*d + 24 = 0, 2*v - u*v + x = -2*d. Solve -10 = 2*q - 2*j, 1 - v = 2*q + 4*j for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j = -5*m - 132, -j + 189 = 2*j - 3*m. Suppose j - 313 = -4*v. Calculate the highest common divisor of 7 and v.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2\/9 - (-2)\/18. Let p = -10 - -14. Let w(s) = s**2 - 4*s. Let d be w(p). Which is greater: d or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l, 2 x, and 1 p when four letters picked without replacement from {l: 6, x: 8, p: 3}?\nAnswer: 18\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -13.3778234 to two dps.\nAnswer: -13.38","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 + (-54)\/(-30))\/(9*(-8)\/(-3330)).\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 19 - 14. Let q be (-6)\/(-2) - (h + -2). Suppose q = 5*a - 4 - 6. Which is smaller: a or 3\/5?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j + 4 = -f, -4*f + 5*j = 50 - 7. Is -64\/11 at most as big as f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = 27*x - 2. Let i(u) = -839*u - 1031. Calculate i(b(y)).\nAnswer: -22653*y + 647","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand n**2 - 9*n + 692*n**4 - 1385*n**4 + 2 + 688*n**4 + (3*n**3 - 2*n**3 + n**3)*(n - n - n) - 3*n**4 + 5*n**4 - 3*n**4.\nAnswer: -8*n**4 + n**2 - 9*n + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 1311232011 (base 4) to base 14\nAnswer: c7a17","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 6494 by -6.\nAnswer: -3247\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 15844277 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -602*j + 4067 = -595*j. Suppose -3*c + 5*m = -1785, -6*c + 7*c = -3*m + j. Is 10 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.01, -4, 0.3, -8, -2.2, 2\/9?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -26*d - 10*d + 43*d.\nAnswer: 7*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.05 and -75.4.\nAnswer: 3.77","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1)\/2)\/(25\/10).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 100 and 92?\nAnswer: 2300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -102 = -2*o + 5*t + 53, -255 = -4*o - t. Let l = o - 66. Put 1, -2, l, -4 in increasing order.\nAnswer: -4, -2, l, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-119)\/1071)\/(25\/(-3150)*1*4)?\nAnswer: 7\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1768)\/112)\/221*16*1*-1.\nAnswer: 8\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) be the second derivative of 0 + 9\/4*x**5 + 0*x**2 + 6*x - 17\/6*x**3 + 0*x**4. What is the second derivative of p(m) wrt m?\nAnswer: 270*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-5)\/(-2)*24\/12?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -979*r + 12274 - 32261 = 18194 for r.\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = p**2 + 4*p - 2. Let z be d(-4). Put -6, z, -3 in descending order.\nAnswer: z, -3, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -192*n - 198*n = -402*n - 12 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -2419456 and -61?\nAnswer: 2419395","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -75*r + 279 = 954 for r.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -324, -531, -742, -957, -1176, -1399?\nAnswer: -1626","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3 + -2. Let i = j - 1. Let z(x) = x**3 - 6*x**2 + 4*x + 6. Let t be z(5). Solve -o = -i + t for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -4*s**2 - 14*s + 13. Let n be k(-4). Find the third derivative of 9*t + 1250*t**4 - 7*t**2 - 4*t**n - 617*t**4 - 626*t**4 wrt t.\nAnswer: -240*t**2 + 168*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*y - 15*y + 4 = 0. Let o(q) = 0 + 1 - 3*q - 3 + y*q. Let t be o(12). Solve 2*d - 20 = -2*n, 5*n - 4*d - t = -d for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -41227 (base 8) to base 16.\nAnswer: -4297","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*k**5 - 1298*k**4 - 35102*k**3 + 1298*k**2 + 35100*k = 0. What is k?\nAnswer: -26, -1, 0, 1, 675","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: Is -40 at least -36?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + -12 - (-37 + 24)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1554872 a multiple of 44?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -28607, -57215, -85823, -114431, -143039?\n\"Answer: -28608*n + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 7\/(-21) + 4\/(-24)*-25334. Suppose -2792 - s = -6*v. Is v composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = h**2 + 30*h + 2257. Does 61 divide w(0)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13031 is divided by 4335?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (sqrt(65) + (sqrt(65) + -2*sqrt(65))*-2 + sqrt(65))\/sqrt(5).\nAnswer: 3 + 4*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 161 is divided by 5.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 times 3.2?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -132 = -16*t + 108. Solve 0*b + t = 5*b for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -82, -69, -44, -1, 66, 163, 296, 471?\n\"Answer: n**3 + 6*n - 89","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -110 divided by 11\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = r**2 - 1. Let y(i) be the second derivative of -5*i**5\/4 - 5*i**4\/12 + i**3\/6 + 2*i**2 - 35*i - 16. Calculate -5*s(f) - y(f).\nAnswer: 25*f**3 - f + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide 980 by -196.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 496*m + 1305 = 499*m. Let g = 439 - m. Solve -2*i = g*p + 12, -2 = 2*p - i + 4*i for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = b**2 - 7*b - 2. Let f = -522 - -525. Give q(f).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -12*i**3 - 3*i**2 + 3*i - 1. Let t(w) = 23*w**3 + 5*w**2 - 5*w + 1. What is -3*t(m) - 5*y(m)?\nAnswer: -9*m**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00012785 to 5 decimal places.\nAnswer: -0.00013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -3*-60.54\nAnswer: 181.62","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1063 and -3033.\nAnswer: -3224079","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = 7*h**2 - 2*h. Let i(o) be the second derivative of 0 + 2\/3*o**4 - 10*o + 0*o**2 - 1\/3*o**3. Let n(c) = 7*d(c) - 6*i(c). What is r in n(r) = 0?\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in 0.2, -2, -335\/13, -22?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 638033007 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find u, given that -u**5\/5 + 374*u**4 - 569021*u**3\/5 + 49232432*u**2\/5 - 271485588*u\/5 - 321288912\/5 = 0.\nAnswer: -1, 7, 174, 1516","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w\/w**(-11))\/(w*w\/w**(2\/7)))**(18\/5)\/(((w\/w**(2\/3))\/w*w)**36*w**(-2)\/w**(-7)) assuming w is positive.\nAnswer: w**(701\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -385246 - -3?\nAnswer: -385243","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4616256 rounded to four dps?\nAnswer: -0.4616","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = 17*g**2 - 17*g**2 + 8*g - 7 + 12*g - 6*g - g**2. Let w = -6 + 6. Suppose -4*n + 52 = -w*n. Give c(n).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -330203.715 to the nearest one thousand.\nAnswer: -330000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*p**4 + 164*p**3 + 604*p**2 + 444*p = 0. Calculate p.\nAnswer: -37, -3, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -3*r**2 - 131*r + 1366. What is the smallest common multiple of d(-48) and 212?\nAnswer: 1484","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = 16*z**3 + 2*z - 1. What is s(1)?\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2895681 nanoseconds in seconds?\nAnswer: 0.0000000002895681","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -5*o - 13. Let q(k) = -6*k + 14*k + 3*k + 7 + 4*k. Calculate the remainder when q(5) is divided by c(-6).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 59 - 57.1. Let w = s - -1.1. Which is the fourth smallest value? (a) 0.4 (b) w (c) -0.1 (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/5)\/(93\/465).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -0.02768*0.107\nAnswer: -0.00296176","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fod when three letters picked without replacement from {c: 1, d: 4, f: 2, m: 2, o: 3}?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 93320613 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 2, 0, 18, -4, 0.2, -0.3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -18341\/13 + 1411. Factor 4\/13*q**3 + 2\/13 - m*q + 2\/13*q**4 - 2\/13*q**5 - 4\/13*q**2.\nAnswer: -2*(q - 1)**3*(q + 1)**2\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.111 - 0.039. Let r = -4.85 + z. Sort 1, 3, r, 8.\nAnswer: r, 1, 3, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(4\/7)*d*d**(-11))\/(d*(d\/(d*d**1))\/d*d\/(d*d*d**(1\/6)*d)*d) assuming d is positive.\nAnswer: d**(-305\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19*q**3 - 16*q**3 - 17*q**3.\nAnswer: -14*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 238 - 236. Solve -10 = -4*k + 2*v, -14 = -j*k + 5*v - 5 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -q - 2. Let y be t(-14). Let i = -8 + y. Suppose 2 = 2*f - i. Solve 8*o = f*o - 20 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vf when two letters picked without replacement from {v: 5, f: 14}?\nAnswer: 35\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 4612.562m?\nAnswer: 4.612562","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2*-2*22\/8)\/1.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -723*b**2 + 82*b**2 - 477*b**2 - 19*b**2.\nAnswer: -1137*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -669, -1318, -1957, -2580, -3181, -3754?\n\"Answer: c**3 - c**2 - 653*c - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2719 is divided by 310.\nAnswer: 239","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (0 + -21)\/(12 + -13)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vvvvvcvvvvvv. What is prob of sequence vcv?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v\/v**0)**(-40))**(-15)*(v\/(v*v**(-2\/3)))**(-32)*(v\/(v\/(v\/v**(1\/3))*v*v*v)*v)\/(v\/(v**(-1\/2)\/v)) assuming v is positive.\nAnswer: v**(3449\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 12847 and 5887?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.2588 + -1.066. Round u to the nearest integer.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1066.50189 rounded to the nearest one hundred?\nAnswer: -1100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.9 + 0.565.\nAnswer: 1.465","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -13 + 65. Let n be 3\/(i\/(-16) + 4). What is the third derivative of 0*c**4 + 2*c**2 + c**4 + 4*c**n + 3*c**2 wrt c?\nAnswer: 120*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**(-13)*w\/w**(-7)*((w\/w**4)\/w)**29 assuming w is positive.\nAnswer: w**(-121)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 543.75 - -87.25. Is v not equal to -0.19?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 2.154422646 to 3 dps.\nAnswer: 2.154","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 120202100210 (base 3) in base 2?\nAnswer: 1001011101101001001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.3 or 528\/433?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 19 - 15. Suppose -3 - 13 = -d*u. What is the remainder when 14 is divided by u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*v**3 - 11967*v**2 + 2099415*v - 90146325.\nAnswer: -3*(v - 85)**2*(v + 4159)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x + 1960 = 7*x - 3*b, 3*x - 2*b = 1471. Calculate the greatest common divisor of 29 and x.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k = 4*q + k - 456, 0 = 5*q + 2*k - 576. Calculate the highest common factor of q and 493.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -196991062*c*i**2 + 224065*c*i + 5*c + 24*i wrt i?\nAnswer: -393982124*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.201227 to 3 decimal places.\nAnswer: 0.201","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1\/156 - 2111\/780. Let b = 31\/5 + j. Solve 5\/2*k**2 + 3\/2 + b*k + 1\/2*k**3 = 0 for k.\nAnswer: -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 - 5744*a**4 - 5754*a**4 + 11500*a**4 - 30*a**2 in the form l*a**4 + t*a + h*a**3 + f*a**2 + d and give l.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 14286856009 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -3*h**2 + 15*h. Let y(m) = -84*m - 7*m**2 + 3 - 83*m - 2 + 167*m. Calculate j(y(v)).\nAnswer: -147*v**4 - 63*v**2 + 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 42226 to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -21 - -32. Suppose 6 = y - 5*y - 2*v, -y + 2*v + k = 0. Calculate the remainder when 20 is divided by 0 + -1 + y + 11.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 788057?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:21 PM and 12:57 PM?\nAnswer: 36","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -78, 0.7, -2, -5?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -178 - -104. Let s = i - -89. Solve 2*c = 7*c - s for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -152 (base 7) to base 2.\nAnswer: -1010110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -m**3 + 9*m**2 + m - 13. Give o(9).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 3236989857 to the power of 1\/6, to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000459311 to six decimal places.\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 700 minutes before 1:22 AM?\nAnswer: 1:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1000101110 - -1101000110100100?\nAnswer: 1101001111010010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 550 and 154.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g**5\/4 - 885*g**4\/4 - 202169*g**3\/4 - 2746035*g**2\/4 + 10081125*g\/2 + 5676750 = 0. What is g?\nAnswer: -435, -20, -1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -58*v + 15*v + 86 = 0 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -154*z - 3538. What is the least common multiple of f(-23) and (1 + 41\/(-5))*-5?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*r**3\/17 + 3329764*r**2\/17 - 1385916036962*r\/17.\nAnswer: -2*r*(r - 832441)**2\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 37 and 1961?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*y - 6*y - 3 = 0 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/(-5)*(-1325)\/318*6\/(-10)?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2002 and 339768.\nAnswer: 2378376","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -29*f**3 + 5*f**3 - 3*f**2 - 28*f**2 + 23*f**3 - f + 1 to the form q + t*f**2 + c*f + r*f**3 and give t.\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r = 5*c - 48499997, 0*c - 9700003 = -c - r. What is c rounded to the nearest 1000000?\nAnswer: 10000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 314 - 269 - 6*i**2 + 4*i**2 + 2*i**2 + 3*i**2 - 7*i**2 + (-6*i + 0*i + 4*i)*(-2*i + 3*i + 0*i).\nAnswer: -6*i**2 + 45","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.039 (b) 2\/17 (c) 1 (d) -7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -1a78a3 - 3?\nAnswer: -1a78a6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor d**3\/5 - 1734*d**2 + 43225*d.\nAnswer: d*(d - 8645)*(d - 25)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 104.59 - 104.57. Which is the second biggest value? (a) 61\/4 (b) 0.1 (c) 1 (d) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:01 PM and 4:33 AM?\nAnswer: 692","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-18)\/(-3)*(-6)\/(-96). Let w be ((-10)\/(-8))\/((-1)\/4). What is the closest to q in -0.4, w, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1.6*58.\nAnswer: -92.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3800 is divided by 1241.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -2*h**3 - 33*h**2 + 18*h + 19. Let b be w(-17). Let s = 0 + -1. Let g be 15\/(-6) - s\/2. Sort g, b, 4.\nAnswer: g, b, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 3324181169?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 - -1 - (7 + -15 + 6)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 9 and 7776?\nAnswer: 7776","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2636213*a**4 + 2401925*a wrt a.\nAnswer: -31634556*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((2 - 5 + 5)*(-3 - 1 + 5) + 32 - 17 - 12)*(-138*a**3 - 790 + 790) to the form w*a**2 + x*a + y*a**3 + c and give y.\nAnswer: -690","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (2*3\/(-6))\/3. Let s(n) = n**3 + 4*n**2 - n - 7. Let v be s(-3). Which is the closest to -0.3? (a) v (b) d (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + -1*sqrt(192) + -3 - (((sqrt(54) + sqrt(54)*2)\/sqrt(2) - sqrt(27))\/(-5*sqrt(27)\/sqrt(3) + sqrt(9)))**2) + 1.\nAnswer: -8*sqrt(3) - 23\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 12\/(-42) - 18\/(-14). Let n be c - (-1 - (2 + -2)). Solve -n*g + 2*q + 2*q = -4, -5*g - q - 1 = 0 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((a\/(a*(a*a*a\/((a*a\/(a*a*a\/a**(-7\/3)*a)*a)\/a))\/a*a*a))\/a)\/(a*a\/a**(-30)*a))\/(a**(1\/15))**(-16))**50 assuming a is positive.\nAnswer: a**(-6190\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -250*u + 520*u - 254*u.\nAnswer: 16*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 20464979 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 362?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(1*sqrt(104) - sqrt(104)))\/(sqrt(16)\/sqrt(72)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from khmhkgtchtgkg. What is prob of picking 1 c and 1 g?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) be the first derivative of 7*i**2\/2 + i - 5. Let j be a(-1). Let u(k) = -3*k - 6. List the prime factors of u(j).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -320 by -160.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t*t**(2\/7)*t*t**(-1\/11)*(t\/t**(2\/5))**2 assuming t is positive.\nAnswer: t**(1307\/385)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 91\/108 and -139\/48?\nAnswer: 432","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 604899272 to the power of 1\/2, to the nearest integer?\nAnswer: 24595","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -323.7 - -182.8. Let j = p - -141. What is the nearest to -1 in 0.5, j, 0.4, 4?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = 10*d - 108. Let l(n) = 7*n - 120. Give 6*l(h) - 4*y(h).\nAnswer: 2*h - 288","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-21)\/(-98)*14\/(-12)?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -249*d**3 - 281*d**3 - 51*d**3 + (0 + 0 + 2*d**2)*(2*d + d + d).\nAnswer: -573*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-3 - -1) + 0\/(-2). Suppose 0*s - y - 10 = -2*s, 2*y + 26 = 5*s. Let l = s - c. Calculate the greatest common factor of l and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.4 + 3704.\nAnswer: 3703.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 0\/2 + (-96033)\/33. Let h be 11\/(11\/2910) + -2. Let v = r + h. What is the common denominator of v and 41\/11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22013 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -444406197 + 241\nAnswer: -444405956","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -107358000 to the nearest one million.\nAnswer: -107000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-57)\/(-12) - (-21)\/(-28). Suppose g*n = u + 6, -2*u - 3*u - 30 = -5*n. Is u smaller than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 60798.12 nanograms to kilograms.\nAnswer: 0.00000006079812","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (((-8)\/(-3))\/4)\/((-2)\/(-9)). Let y(g) = -6 - 4*g + 3 + 3. Let p(b) = 8*b - 1. Let t(a) = 3*p(a) + 5*y(a). Calculate t(d).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*b**2 - 560303*b\/2 + 70038 = 0. Calculate b.\nAnswer: -140076, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f = -7*f + 60. Suppose -21 = 4*y + f. Find the common denominator of 101\/4 and 7*(-1 + (-4)\/y).\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -12*(9\/6)\/(-3). Suppose -5*r = -t - 54. Is r a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/((-14)\/(-10)) - ((-1146)\/(-42) - 27)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x - 10 = -0. Suppose 126 = -x*t + 4*t. What is the remainder when t is divided by 32?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1131 a multiple of 29?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -2303 - 1251005?\nAnswer: -1253312","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (-366)\/2*350\/525*((-9)\/(-3))\/3\nAnswer: -122","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 12839108473 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = 5*a - 4. Let w be d(2). Let m = 7 - w. Let v = -15\/56 + 1\/8. Is m >= v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 163 at most 165?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Determine b so that -9 - 16*b - 8*b + 45*b + 3*b**3 - 17*b**2 + 2*b**2 = 0.\nAnswer: 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 609589.\nAnswer: 609589","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -3 - 5 + 0 - 1 + 5*x. Is 20 a factor of s(10)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = 23*b - 1. Is w(4) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-r**4 - 6*r**4 + 4*r**4)*(-42*r + 121 - 121) - r**5 + 4*r**5 - r**5.\nAnswer: 128*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 19116192 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 90.53561l in millilitres?\nAnswer: 90535.61","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-130)\/(-6))\/(1\/(-3)). Let h = 31 + -126. Let v = o - h. What is the units digit of v?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = 3*c - 9. Let t(o) = 4*o - 10. Let z(j) = 6*l(j) - 5*t(j). Let g(d) = -2*d - 3. Give 4*g(s) - 3*z(s).\nAnswer: -2*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 284 and 68?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -11, -15, -17, -17, -15, -11?\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (15*z**4 - 8*z**4 + 13*z**4 + 2*z**4 - z**4 - 2*z**4 + (z**2 - 4 + 4)*(-2*z**2 + z**2 + 3*z**2) - 4*z**2 + 50*z**4 + 4*z**2)*(0*z - 5*z + 4*z).\nAnswer: -71*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = w**2 + 6. Suppose 5*h + 2*l - 2 = 0, 3*h - 3*l - 2*l = -5. Suppose h = -4*c - 2 - 18. Let o(q) = -q**2 - 7. What is c*f(a) - 4*o(a)?\nAnswer: -a**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 21778 is divided by 319?\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -54311 divided by 6.\nAnswer: -54311\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) be the first derivative of -51*l**5\/20 + 29*l**4\/6 - 32*l + 106. Let b(k) be the first derivative of y(k). Find the third derivative of b(a) wrt a.\nAnswer: -306","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1108 and 10?\nAnswer: 5540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-79)\/3 + (-12)\/18. Let t = u - -37. Let o = 12 + -8. Calculate the remainder when t is divided by o.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.8516582 rounded to one dp?\nAnswer: 0.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = 9*k**2 + 5*k. Suppose -3*q = 2*q + 15. Let j = 0 - q. Let p(v) = 4*v**2 - v + 0*v**2 + j*v. What is 5*p(y) - 2*w(y)?\nAnswer: 2*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 30269133 is divided by 6925?\nAnswer: 6883","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/(12\/9))\/((455\/(-1547))\/((-30)\/9))?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sg when two letters picked without replacement from {s: 4, g: 3}?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 1\/4 (b) -1\/14 (c) -19\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1010001000 + 10?\nAnswer: -1010000110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (-37882)\/2418 + 10\/(-3)\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -2, 5, 1, 18404 in decreasing order.\nAnswer: 18404, 5, 3, 1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -10 + (-14 + 13 - (3 - (-5 - -36))).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a - 16 = -3*b, b = a - 0*b + 6. Let m(p) = -396*p**3 + p**2 - p - 1. Is m(a) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-32 - -5) + (8 - (4 - -3)) - -10.\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 13*o**3 - 12*o**3 - 2 - 10*o**2 + 3*o**2 as i*o**3 + s*o + f*o**2 + j and give f.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + 23 = 5*g, 5*l - 3*g - 2 = 9. Solve l*x + 16 = -0*x for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 5\/132 and 89\/462.\nAnswer: 924","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = v**3 + 3*v**2 + 2*v - 8. Calculate the remainder when 60 is divided by m(3).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*l - 14*l = h + 15, 4*l - 6 = -2*h. Solve -6 = -m + l*m, -x - 5*m = 13 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -29*l + 11*l + 540. Calculate the remainder when 268 is divided by l.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 25252150?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 3632855207?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mmmqmmlggmngg. Give prob of sequence mq.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 228 and 22515.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = 3*p**3 - 2*p**2 - 40*p + 41. Give n(1).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 0.6162578kg?\nAnswer: 616.2578","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Total of 184062 and 0.0302.\nAnswer: 184062.0302","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 567 is divided by 74?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from noogogtngctonnoctggr. Give prob of sequence tnc.\nAnswer: 1\/285","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 14 + 3*l**2 + 2804*l - 2801*l + 3*l**2 + 2*l**4 - 5*l**2 - 2*l**3 to the form a*l**3 + w*l**4 + o*l + y + z*l**2 and give a.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2.3 - -2.6. Let d = 244 + -2198\/9. Which is the biggest value? (a) d (b) -0.1 (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 528 a factor of 146336?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.377 - -4198536884?\nAnswer: 4198536886.377","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 203*d = 223*d - 220 for d.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 216523291?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = c**2 - 12*c - 12. Let a be y(14). Let n = 12 - a. Does 13 divide 2*3*(-10)\/n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 18585 + -18442. What is the second biggest value in q, -5, -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 214 is divided by 56.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*d = -4*b + 32, -279*b - 274*b - 42 = -3*d - 562*b for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1 times 622.8988?\nAnswer: 62.28988","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -850 * 1564\nAnswer: -1329400","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = l**3 + 22*l**2 + 15*l + 42. Let t be m(-22). What is the hundreds digit of ((-8)\/(t\/(-81)))\/(1\/(-96))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k - 20 = -5*k. Suppose -2*u - h = u - 43, 5*h - k = 0. What is the tens digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 3\/(-2)*-2*1. Suppose -2*o = -j*o - 3. What are the prime factors of (-3)\/o*5 + 0?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((k**0*k*k)\/k)\/k)\/k)\/k)**(-30)\/((k**(2\/5)\/k)\/(k\/((k**(1\/2)\/k)\/k)))*(k\/(k\/(k*k**(3\/7))))\/k**(-5)*(k\/k**6)\/(k**5\/k*k*k) assuming k is positive.\nAnswer: k**(4097\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (2\/(-3))\/(4\/(-7362)). Let v = 727 - c. What is v rounded to the nearest 100?\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = 16*q**2 - 758*q + 3591. What is w(42)?\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = p**2. Let m(d) = -8*d - 4. Let y(q) = q + 1. Let v(j) = -m(j) - 4*y(j). What is v(f(c))?\nAnswer: 4*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -6 - -10. Let y = -24\/51319 - 1385493\/256595. Which is the biggest value? (a) -5 (b) y (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (((-320)\/(-30))\/(-4))\/((-4)\/6). Suppose g*j + 157 = 2*t - 355, -j = 2*t - 517. What is the hundreds digit of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1397 and -0.1.\nAnswer: 139.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2436 divided by -21.\nAnswer: -116","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7 + 14 - (-6 - -18 - (3 - 3)).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 1, t: 3, h: 3, y: 6}. Give prob of sequence uhu.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 155570 + -6846007\/44. Let i = 702\/11 + a. Let r = -42 + i. What is the closest to 2 in r, -0.3, 0.2?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14 + -11 + 5 - 3.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = 1. Let b(z) = -9*z + 2. Give -b(h) + 4*r(h).\nAnswer: 9*h + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/25, -12, 1, 0.3, 1\/5, -0.151.\nAnswer: -12, -0.151, 1\/25, 1\/5, 0.3, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -11 - 2497*h**3 + 29 - 18 + 252*h**3 + 1724*h**2 wrt h?\nAnswer: -13470","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*m - 39 + 93 = 3*z, 43 = -5*z - 3*m + 29*m - 23*m for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 905403536.\nAnswer: 2, 56587721","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -273812, -1095263, -2464350, -4381073?\n\"Answer: -273818*m**2 + 3*m + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence onol when four letters picked without replacement from {l: 2, o: 4, n: 2, m: 3}?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 883?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -b**3 + 5*b**2 - b + 7. Let r(c) = 4*c + 1. Let q be r(1). Calculate the smallest common multiple of i(q) and 3.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3876*z + 425*z - 16489*z - 11853*z.\nAnswer: -31793*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*t = 7 + 8 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is f in -326*f**5\/9 + 33896*f**4\/9 - 104952*f**3 + 3236800*f**2\/9 + 80000*f\/9 = 0?\nAnswer: -4\/163, 0, 4, 50","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-4683)\/(-892)*4\/3. Solve -s*g - 17 = f - 10*g, 2*g = -5*f for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh smallest value? (a) 0 (b) 4 (c) 0.8 (d) 1\/4 (e) -0.10825 (f) -0.13 (g) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17 + 1 = -2*c. What is the tens digit of (-619)\/c - 2\/(-9)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -18\/23753377 and -57\/5.\nAnswer: 118766885","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2660 and 5965589?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-41)\/((-2665)\/78)*1*(-440)\/(-12).\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = d**2 + 3*d - 5. Let x be n(-5). Suppose -4 = y - v - 0*v, -3*y - 5*v + 20 = 0. Solve 3*o - 13 = u - y*u, -x = -o for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4043*m + 8076*m + 94 = 3*p + 4041*m, -2*m + 28 = 3*p for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((j\/(j*j**(-37)))\/j)\/j)\/((j\/(j\/((j\/(j\/(((j\/(j*(j*(j\/j**(1\/34))\/j)\/j))\/j*j)\/j*j)*j))\/j*j)*j))\/j)*j*j**(1\/8)*j\/(j*j**(1\/15)) assuming j is positive.\nAnswer: j**(79619\/2040)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 6ba - 44?\nAnswer: 676","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (-7)\/(693\/(-72))*(-1)\/4?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*x - 2 + 5*x - 6*x - 21*x**3 - x**4 in the form g*x**4 + f*x**3 + d + j*x**2 + z*x and give z.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = 9*g**2 + 1498*g - 53047. Give t(30).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 1, u: 1, f: 4, z: 6, j: 3, s: 1}. Give prob of picking 1 z, 1 j, and 2 f.\nAnswer: 27\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -3 divided by -13\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -12? (a) -198.34 (b) -6 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 195 divide 421479399?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2.5, -2\/5, 691, 2, -2\/7?\nAnswer: 691","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 263895651?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -3*n + 52. Let d be a(16). Solve -d*v = v + 10 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 595908 to the nearest integer?\nAnswer: 772","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -29\/6662260 and 55\/28.\nAnswer: 46635820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 1296 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is one twentieth of a day in seconds?\nAnswer: 4320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mzmmmmmmmmmmz. Give prob of picking 2 z.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(sqrt(700) + 2))**2 + 1*sqrt(567) + (sqrt(63))**2*6.\nAnswer: 649*sqrt(7) + 11642","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -0.7, -2\/7, -1\/6, 33, -3\/4?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2248*r**4 + 3*r*u**2 + 26785*u**2 with respect to r.\nAnswer: 8992*r**3 + 3*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 610 minutes before 6:20 PM?\nAnswer: 8:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 185 divide 1376723565?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -7*g + 8. Let j(z) = 8*z - 9. Let w(s) = 7*i(s) + 6*j(s). Let t(x) = 34*x - 1736. Let b be t(51). Give w(b).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -t + t + 21 + t - 2*t to x*t + h and give x.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 410 and 10?\nAnswer: 410","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -r + 2*n + 13 = 0, 6*n - 90 = 11*r - 33*r + n for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) be the third derivative of 1\/24*m**4 + 0*m**3 + 0*m + 0 - 29*m**2. Let t(w) = -41*w. Determine k(t(z)).\nAnswer: -41*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -767*v - 3. Let l be r(-1). Is (-3)\/(-2)*l\/6 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 42 divide 924?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-3 + 15 - 30) + 21)\/((-44)\/2).\nAnswer: -3\/22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n - 25 = -n. Solve -i = -3*t + 3, 0*i - 5*i - 15 = n*t for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 172284 is divided by 3445.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2049*u + 2047*u + 78 + 18*u**2 + 5*u**5 - u**3 - 4096*u + 24*u**4 wrt u.\nAnswer: 300*u**2 + 576*u - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r\/(r*r\/r**3)*r**0*(r**(-1\/4))**(3\/34))**(-16\/7) assuming r is positive.\nAnswer: r**(-538\/119)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 45*0.0879.\nAnswer: 3.9555","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + 11 = -33. Let c = s + -5. Is 4 a factor of ((-44)\/c)\/(6\/(-9))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3.045 + -3.015. What is the closest to t in 2, -0.3, -3, -1\/3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Solve -j**5\/4 + 513*j**4\/4 + 387*j**3 + j**2 - 516*j = 0 for j.\nAnswer: -2, 0, 1, 516","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/2 of a millennium in years?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 2, -1, -822, -16 in decreasing order.\nAnswer: 4, 2, -1, -16, -822","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 321 - 308. Solve 20*s = f*s + 28 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*j = -9*j - 240. Suppose -4*i + j = -i. Let m(l) = 7*l - 39. Let p be m(17). Calculate the greatest common factor of i and p.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 26335952058 and 18.\nAnswer: 26335952076","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 29290.48l to millilitres.\nAnswer: 29290480","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zb when two letters picked without replacement from tkkzzpbztz.\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-1)\/(-1)*3 - 9*6. What is the lowest common multiple of v\/(1\/2 + (-1 - 1)) and 4?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -137 + 123.5. Let w = 13.7 + r. Put -0.4, 2\/9, w in decreasing order.\nAnswer: 2\/9, w, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -0*u + u - i, 3*i = -3. Suppose -2*c + 1 + 1 = u. Let y = c + 5. What is the units digit of y?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 50 + -24. Let r = 3 + 0. Suppose x - 2 = r. Solve x*q - k + 11 = 0 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from avvrwggggvg. What is prob of sequence ar?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -14 (base 6) to base 16\nAnswer: -a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 575534101 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 118\/85 + -37721\/170. Let m = -658\/3 - n. Calculate the common denominator of m and (-610)\/(-64)*6\/(-15).\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**(1\/19)*u*u*u**(3\/4)*u assuming u is positive.\nAnswer: u**(289\/76)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 300 + -296. Let w(j) = -j**3 + 8*j**2 - 7*j - 1. Let o be w(6). Let v = -27 + o. Sort s, v, -15 in ascending order.\nAnswer: -15, v, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 36 and 36?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u*u**(-2))\/u**7*u**3*u*u*u\/(u\/(u\/(u**(-1\/3)\/u)))*u)\/(u**(4\/5)*u*u**(-1\/4))**(-1\/54) assuming u is positive.\nAnswer: u**(391\/1080)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = -2*d + 3*w, 2*d - 4*w - 2 + 18 = 0. Suppose 0 = -o + 4*v + 20283, 0 = d*o + 2*v - 5*v - 40561. Is o a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (0 - 0) + -3 + 2. Let m = 4732\/9 - 1757075\/3339. Let q = -14\/53 + m. Which is smaller: p or q?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -883*z**2 - 14*z**3 + 81*z**3 - 261 + 261 + 883*z**2.\nAnswer: 67*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 3, 0, -7, 60 in descending order.\nAnswer: 60, 3, 0, -5, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 3\/(-21) + (-2167)\/(-77). Let a = v - 26. Calculate the smallest common multiple of a and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 0.8681912 decades?\nAnswer: 8.681912","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = m**3 - 6*m**2 + m - 2. Let q be i(7). Let v = q + -8. Let h = 95\/2 - v. Which is the second biggest value? (a) h (b) -2 (c) -1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -41004, -82021, -123052, -164097, -205156?\nAnswer: -246229","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*sqrt(38)\/(sqrt(2) + sqrt(72) + sqrt(72) + sqrt(72)*3 + sqrt(2))*-1.\nAnswer: -sqrt(19)\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2726696258 - 1.\nAnswer: -2726696259","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 25085 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -80711.034711 - -80711. What is b rounded to four dps?\nAnswer: -0.0347","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 49\/(-21)*1\/(-42)*-4?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*a + 0*a + a)*(5*a + a - 5*a) - 5*a + 5*a - 2*a**2 - 9*a**2 + 10*a**2 - 11*a**2.\nAnswer: -13*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = x**3 - 36*x**2 - 37*x + 5. Let q be t(37). Suppose 4*m + 4*l - 308 = 0, 0 = q*l - 2*l - 12. What is the remainder when m is divided by 13?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -q**3 + q. Let p(n) = 5*n**3 + n**2 - 3*n + 1. Let x(d) = d**3 + 2*d**2 - 4*d. Let h be x(-3). Let s = -34 + 35. Determine h*w(a) + s*p(a).\nAnswer: 2*a**3 + a**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 13 - 7. Let p be (s + -4)*2\/(-4). Let n = 2 - 4. Which is smaller: p or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 18115990\/262*(-2)\/(-5)?\nAnswer: 2, 13829","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -22465.980883 + 19451.9810289. Let c = 3014 + o. What is c rounded to 5 dps?\nAnswer: 0.00015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + -578?\nAnswer: -580","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 22769171.\nAnswer: 17, 37, 53, 683","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: ((-126)\/210)\/(((-45)\/(-500)*-5)\/8)\nAnswer: 32\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (0 - 66)*(-99995)\/(-5565). Let b = -1186 - p. Which is smaller: b or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 130456269 and 463.\nAnswer: 463","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*h**4 - 55*h**3 + 160*h**2 - 140*h = 0 for h.\nAnswer: 0, 2, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 14941 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 90? (a) -0.4 (b) -0.04 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -56 = -33*x + 142 for x.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is u in 157*u**5\/7 + 626*u**4\/7 - 1735*u**3\/7 + 964*u**2\/7 - 12*u\/7 = 0?\nAnswer: -6, 0, 2\/157, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -a - 1. Let i be q(-4). Suppose 0*d + i*d - 18 = 0. What is the remainder when 16 is divided by d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1292a (base 12) in base 14?\nAnswer: 9430","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*t + 2*t**2 - 2*t + (t + t - 4*t)*(2*t - 3 + 3) + (-3*t + 2*t - t)*(9*t + 5*t - 6*t).\nAnswer: -18*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 319, -16, -573, -1358, -2377?\n\"Answer: -m**3 - 105*m**2 - 13*m + 438","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 30857.42 nanometers to meters.\nAnswer: 0.00003085742","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 287 - 162. What is the tens digit of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n - 468 + 441 = -4*s, 0 = 5*n + 3*s - 34. Solve -4*j - 35 = n*o, 5*j + 22 = 7*o - 6*o for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (sqrt(1470)*-1)\/(sqrt(96) + sqrt(24)).\nAnswer: -7*sqrt(5)\/6 - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 + 52\/(-60)*1)*-5?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -82, 4, 0, -3, -8, -5884, -2 in descending order.\nAnswer: 4, 0, -2, -3, -8, -82, -5884","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = 11*z. Let n be w(1). Let d be n - 3\/1 - -1. Suppose -21 - d = -2*h. Is h a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:15 PM and 1:41 AM?\nAnswer: 386","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s = -s - 7. Suppose -13 = 2*i - s*i + 2*f, -i - 4*f + 7 = 0. Is (i\/3)\/((-4)\/(-1228)) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 312 a factor of 312312?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 341 minutes after 9:25 PM?\nAnswer: 3:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2\/83981 - -55511427\/587867. Let b = m + -94. Let q be 3 - 1\/3*72\/8. Which is smaller: q or b?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -146 - -149. Suppose d*c - 32 = o, 2*c - 4*c = 4*o - 26. What is the second derivative of 26*i - 19*i + 39*i - c*i**3 wrt i?\nAnswer: -66*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor k**3 + k**2 - 17*k + 15.\nAnswer: (k - 3)*(k - 1)*(k + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -407 - -631. Let w be d\/24*3\/2. Calculate the highest common factor of 35 and w.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (76\/(-38))\/(2\/8)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -n**2\/10 + 2433189*n\/10.\nAnswer: -n*(n - 2433189)\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -430932333 - 6.1\nAnswer: -430932339.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1665880 is divided by 46?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: ((-111)\/11655*60)\/(30\/595)\nAnswer: -34\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 1093 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -2*o - x, 2*o + 3 = 4*x - 7*x. Let u(t) = 10*t**2 - t - 4. Is 83 a factor of u(o)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 42075262 to the power of 1\/2, to the nearest integer?\nAnswer: 6487","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 77736a (base 12) in base 11?\nAnswer: 1088207","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10252151 (base 6) to base 14.\nAnswer: 7c32b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000091731 to 6 dps.\nAnswer: 0.000092","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.20790081 and 0.2.\nAnswer: -0.00790081","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let -7*g**2\/4 - 1261*g\/2 - 180 = 0. Calculate g.\nAnswer: -360, -2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3.6 + 0.4. Let w = 1.8 - 2. Which is the third smallest value? (a) 0 (b) s (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -300 + 314. Let o be -1*7 + (g - 97700007). What is o rounded to the nearest 1000000?\nAnswer: -98000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*o + 1036 = 4*o. Is o composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = k + 13. Let b = -15 - -5. Let o be y(b). Solve v + o - 1 = 0 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*n - 212*d + 210*d = 16, 2*d - 4 = 0 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 26719 is divided by 1625?\nAnswer: 719","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express 16036*j + 3*j**3 - 32065*j - 113*j**2 + 16029*j - 2*j**3 in the form n*j**2 + m*j + k + r*j**3 and give k.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert -576 (base 12) to base 16.\nAnswer: -32a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) be the second derivative of -263*v**8\/28 - 29*v**4\/2 + 3*v**2\/2 + 640*v. Find the third derivative of c(o) wrt o.\nAnswer: -63120*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = 5*s**3 + 4*s**2 - 6*s - 1. Let z(l) = 2*l - 6*l**3 + 0*l - 5*l**2 + 1 + 5*l. Suppose 0 = 7*w - 78 + 113. What is w*h(f) - 4*z(f)?\nAnswer: -f**3 + 2*f + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 22\/(-77) - (-8)\/14. Solve -4\/7*l**2 + 4\/7*l**3 - 2\/7*l + 2\/7 - 2\/7*l**5 + v*l**4 = 0 for l.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 50702.1 rounded to the nearest one thousand?\nAnswer: 51000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 3\/40, -5\/4, -2?\nAnswer: 3\/40","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.05 times -21?\nAnswer: -1.05","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = 48*q. Let n(i) = 16166*i**2. Calculate n(a(m)).\nAnswer: 37246464*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(126)\/(sqrt(7) - (sqrt(7) - sqrt(7)*-2*5))*2)\/((-2*sqrt(72)*2)\/(1*sqrt(300) + sqrt(300))))**2.\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(7)*-3*2)**2*-1 + -1*(-3*sqrt(448) + sqrt(448)).\nAnswer: -252 + 16*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.585 + 0.005. Let h = k - 0.59008. What is h rounded to 4 decimal places?\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-14 + 19*i + 1 + 18)*(-i**2 - 3 + 3 + i).\nAnswer: -19*i**3 + 14*i**2 + 5*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = l**3 + 6*l**2 - 7*l + 3. Let g be d(-7). Let v = g - -4. Solve -5*a + 15 + v = -4*i, 4*i - 2*a + 16 = 0 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) be the third derivative of k**5\/10 - k**4\/6 + k**2. Let g be o(3). Suppose 0 = -5*d + g + 8. What is the greatest common divisor of d and 90?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (4\/(-171))\/(1*13\/(117\/(-6)))?\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-17 + (-7 - -14) - -53) + -16 + 9\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2705 is divided by 533?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) be the third derivative of -49*m**4\/8 - 6*m**3 - 5*m**2. Let v(b) = -147*b - 32. Let w(c) = 4*v(c) - 5*x(c). What is the derivative of w(f) wrt f?\nAnswer: 147","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -17401935 or -17401922?\nAnswer: -17401922","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 59693482 a multiple of 313?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -3383536 to the nearest 1000.\nAnswer: -3384000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-22)\/176)\/(((-84)\/64)\/(-21)))\/((-4)\/2).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 800858.3 millilitres to litres.\nAnswer: 800.8583","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -4057, -85, -2 in ascending order.\nAnswer: -4057, -85, -4, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 - 5 - (-6 + 20)?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 190 + -186. Suppose -5*p - 3*k - 2*k = -505, -104 = -p - h*k. What is p rounded to 0 decimal places?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -t**2 - 23*t - 122. Let o be y(-12). Solve 2*a + 0*a = -5*c - o, -13 = 2*c - a for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:18 PM and 3:02 AM?\nAnswer: 344","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 11477772191 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 31793 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*j**2 + 2*j**2 + 3*j**2 + (71*j - 11*j**2 - 71*j)*(2 + 4 - 4))*(-j**2 + 0*j**2 - j**2).\nAnswer: 46*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000432083 rounded to five dps?\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h + 0*h + 132 = 0. Suppose -3 + h = 3*m. Let d be (4 - m)*(-1)\/2. Sort -3, d, 1.\nAnswer: -3, 1, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 161, 648, 1451, 2564, 3981, 5696?\nAnswer: 7703","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + 8 = -1. Suppose 4*u = -t*i - 8, -10 = -5*i + i + 5*u. Let p be 1 + 3 + i + 0. Solve x = -5*g + 1 - 22, 15 = -p*g + x for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3697.147cm to meters.\nAnswer: 36.97147","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -45 - 3*d**2 - 44 + 118 - 35. Let h(i) = -2*i. Calculate h(j(u)).\nAnswer: 6*u**2 + 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by 20.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 184618850?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (6 - 0)\/((-3)\/(-2)). Suppose -8 - 4 = y*x. Let j be (-5)\/8*2\/10. Sort x, j, -0.4.\nAnswer: x, -0.4, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 65\/116 at least 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 7\/3309849 and -43\/64899.\nAnswer: 3309849","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = u**3 + 13*u**2 + 1. Let i(f) = -11*f + 152. Let l be i(15). Determine n(l).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 13775 and 58?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 114840 and 72.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1586 divided by -13.\nAnswer: 122","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 31 divide 606001144?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 946408 to the nearest integer?\nAnswer: 973","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 27 a factor of 66852?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 399945 is divided by 5712.\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = 2*f. Let v be i(4). Let j = v + -3. Which is the second biggest value? (a) -4\/5 (b) 2\/5 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-1 - 3\/5)\/(45\/(-225)). Let a(t) = -3*t + 27. Let w be a(q). Suppose j + 7 = -2*f - 4, -w*j = -f + 5. Sort -1, 3, -10, j in descending order.\nAnswer: 3, -1, j, -10","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/7 in 3, -4, -3\/7, 0.5?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3795*f**3 + 7900*f**3 + 21608*f**3.\nAnswer: 25713*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 4062 a factor of 539480924?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 12950 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 92464 - 63599. Suppose -4*p - z = 289535. What is p rounded to the nearest 10000?\nAnswer: -80000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 40290 - 40289.9. Let x = 6 + -4. Let c = -464\/705 + -2\/235. What is the closest to l in 2\/3, c, x?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 54\/12*2\/(-3). Let i(d) = -d**3 - 3*d**2 + d + 4. Give i(r).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -5*x. Let p = -441 - -441. Let s(l) be the third derivative of 0 + 15*l**2 - 1\/30*l**5 + p*l + 0*l**4 + 0*l**3. Calculate n(s(a)).\nAnswer: 10*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n - 21*n = -289. Solve -j - 5*h = n, 2*h + 11 + 1 = -3*j for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*q + 2*q - 10*q - 1)*(q**2 - 4*q**2 + 2*q**2).\nAnswer: 6*q**3 + q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from sbhhbhbpopsoh. What is prob of picking 1 h, 1 p, and 1 o?\nAnswer: 8\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*g - 4*v + 57, 2*g = -2*v + 8 - 20 for g.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*n**2 - 6*n**2 + 4*n**2)*(100 - 179 - 127*n + 81) to v*n**2 + j*n**3 + c + f*n and give j.\nAnswer: 254","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -49669 and 6448.\nAnswer: -320265712","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -519241349*a + 0 - 15 + 519241349*a + 2*a**2.\nAnswer: 2*a**2 - 15","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -3*n - 6. Let k(v) = 6*v + 11. Determine 3*k(c) + 5*t(c).\nAnswer: 3*c + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -l + 37*l**3 - 7*l**2 - 3 + 21*l**3 - 1 + 6. What is the hundreds digit of g(2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (54 - (-105 - -101)) + -78.\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10 + ((-6 - 2) + -1 - (-45 + 43))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*v = f - 9, -v + 3*f + 2 = -f for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 39\/2 - 191\/10. Let g(y) be the first derivative of 1 + v*y**5 - 2\/3*y**3 + 0*y**4 + 0*y - 1\/2*y**2 + 1\/6*y**6. Solve g(m) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -2 - (-2 - (-1 + 20)). Suppose 7*k - 3482 = -3468. Solve -c - x + n = 3*x, -k*c + 14 = 2*x for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24469 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -a**2 - 8*a - 1. Let u(k) = k**3 + 4*k**2 - 3*k + 2. Let v be u(-5). Let y be w(v). Let t be (-22)\/11 - (y + -4). Which is smaller: t or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = y - 11. Let l = -65 - -89. Let h = -24.3 + l. Which is the nearest to h? (a) -2\/5 (b) 1\/5 (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.3*13.78.\nAnswer: -4.134","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 1\/4 of a meter?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 3 - ((-12)\/4 + 6). Suppose w*d = -2*d - 2. Is -1\/33 > d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.05 + 0.09. Let v = 0.46 + m. Let i = -2 + 2.2. Which is the biggest value? (a) v (b) 4 (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -14 - -35. Let u be (4\/3)\/(14\/r). Find the third derivative of 323 + 22*h**2 - 323 - u*h**3 wrt h.\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 69398 to the nearest integer?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express 0 + 14*q**2 + 3 - 13*q**2 - 21 as w*q**2 + a + y*q and give a.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -140*y**3 - 119*y**2 + 119*y - 119. Let z(q) = 6 - 2290*q**2 + 7*q**3 + 1148*q**2 + 2*q + 0 + 1148*q**2 - 8*q. Determine 6*x(l) + 119*z(l).\nAnswer: -7*l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gu when two letters picked without replacement from {g: 1, u: 3}.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i + 3 = -1, u = -5*i + 45. Suppose 0 = 4*r - 3*w + u, -2*w = -3*r - 2 - 23. Which is the second smallest value? (a) 3\/14 (b) r (c) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 - 1 - (11 + (-4 - 5))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k + 25 = 2*q, 3 = 3*k - 6*k. Find the second derivative of -44 + 42 + q*b**2 + 10*b**4 - 10*b**4 - 53*b - b**5 wrt b.\nAnswer: -20*b**3 + 20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 55\/(-11)*(-14)\/(-35)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*c = -4510 - 3734. What is the units digit of c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 9 in -1, 2\/3, 7.7?\nAnswer: 7.7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = 20*p + 7. Let c(u) = 3*u - 309. Calculate c(s(y)).\nAnswer: 60*y - 288","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -3*i**2 + 8*i - 2. Let n(m) = 18*m**2 - 48*m + 13. Let r(d) = 6*n(d) + 39*x(d). Find the second derivative of r(a) wrt a.\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**2*r\/r**7*(r**(-1\/2))**28 assuming r is positive.\nAnswer: r**(-18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -4*w - 2. Let f be b(-1). Suppose 4*l = 3*u - 4 - 27, 5*l - 36 = -f*u. Suppose n - u = -11. Solve n*j - 3*p - 13 = -6, j = 5*p + 14 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(sqrt(56)*-2*-6)\/(sqrt(512)\/sqrt(4) + sqrt(8)).\nAnswer: 24*sqrt(7)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2033? (a) -2\/5 (b) 2 (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*b = -b + k - 4, 3*b = -k + 2. Solve 3*i = -2 - b for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2 - (5 + -2)) + 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**33*g*g*g**(-1\/40) assuming g is positive.\nAnswer: g**(1399\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:17 AM and 6:02 AM?\nAnswer: 345","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -1101010010110 (base 2) in base 9?\nAnswer: -10302","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -6 + 5\/(5\/(-2)). Is c greater than -9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 766 = -10*r + 2236. Let n(x) = -x**3 - 7*x**2 - 2*x + 3. Let d be n(-6). Let a = d + r. Is 18 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*g**4 + 105*g**3 - 480*g**2 + 500*g.\nAnswer: 5*g*(g - 2)**2*(g + 25)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 4*w**2*y**3 - 13*w**2*y - 2*w*x*y**3 + 5*x*y**3 + x*y**2 + 4*x*y wrt w.\nAnswer: 8*w*y**3 - 26*w*y - 2*x*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -2*z - 6. Let j(u) = 2*u + 7. Let c(i) = 3*i + 1. Let r be c(5). Let a be 11\/(-88) + 0 + 290\/r. Suppose -4*m = -m + a. Give m*g(x) - 5*j(x).\nAnswer: 2*x + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -11448, -22039, -39682, -64371, -96100, -134863?\n\"Answer: c**3 - 3532*c**2 - 2*c - 7915","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-33)\/44 + 137\/(-4). Let w = i - -81. Is w a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 253222 to the power of 1\/2, to the nearest integer?\nAnswer: 503","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.008 in 4, 5, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 101 + 10010110010100100011011?\nAnswer: 10010110010100100100000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Determine s, given that -2*s**3 - 508*s**2 - 4928*s - 11712 = 0.\nAnswer: -244, -6, -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2 - 1011221?\nAnswer: -1011212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + 4 + (5 - 17 - 12 - -10 - -105).\nAnswer: 96","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*x**4 + 3 - x + 0*x**2 - x**2 - x**4 to the form u*x + q*x**3 + c*x**4 + a + b*x**2 and give c.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9*p - p**2 - 10*p - 2*p**2)*(-1 - 2 + 1).\nAnswer: 6*p**2 + 2*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide 134 by 3.\nAnswer: 134\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 87\/2 of a kilometer in meters?\nAnswer: 43500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = 7*b - 42. Let a(i) = -32*i**2 + i - 2. Determine o(a(z)).\nAnswer: -224*z**2 + 7*z - 56","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 40513?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = y**2 + 137*y - 546. Suppose -3*s + 750 = 192. What is the lowest common multiple of z(4) and s?\nAnswer: 558","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 289 is divided by 52?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2\/12 - 4*102\/(-144). Solve 2 = -4*d - x*j - 0, -4*d + 14 = -5*j for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -51*q**2 + 42*q - 21. Let r(h) = -12*h**2 + 10*h - 5. Let m(a) = 21*r(a) - 5*w(a). Let k(f) = -60*f**2. Give m(k(d)).\nAnswer: 10800*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wyyr when four letters picked without replacement from jrrrrwjwryvrwvyy.\nAnswer: 9\/3640","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4*m + 4*m + 7*m**4)*(-23 + 33 + 30) in the form s*m**4 + p + d*m**2 + z*m + v*m**3 and give s.\nAnswer: 280","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) be the second derivative of 7*h**5\/30 - h**3\/3 - h**2 + 2*h - 15. Let w(j) be the second derivative of n(j). Let s(i) = 2*i. Give s(w(p)).\nAnswer: 56*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 30297 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/(l*l*(l\/l**(2\/3))\/l*l*l)*l**(-4)*l)\/(l*(((l\/(l*((l*l**(-4)*l)\/l)\/l*l))\/l)\/l)\/l*l*l**6*l) assuming l is positive.\nAnswer: l**(-43\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -16.103 - -119.103. Let w = 2.56 + -110.56. Let z = r + w. Are -0.02 and z nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 46.63175nm to kilometers.\nAnswer: 0.00000000004663175","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 2048314 - 6?\nAnswer: 2048307","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1929950*o**3*t**3 - 4*o**3*t - o**2*t + 2*o**2 + 28546*t**2 wrt t?\nAnswer: -11579700*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -m**5 + m**2 + m. Let h(b) = -44*b**5 - b**2 + 7*b. Let r(i) = -a(i) - h(i). Find the second derivative of r(l) wrt l.\nAnswer: 900*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3 - (100\/2)\/(-2)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) be the second derivative of -1\/2*i**2 + 0*i**4 + 1\/10*i**5 + 0 - 1\/3*i**3 - i + 1\/30*i**6. Factor w(j).\nAnswer: (j - 1)*(j + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -26 divided by -125001.\nAnswer: 26\/125001","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 e and 1 b when three letters picked without replacement from jjeppepepbeebjj.\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -5*m + 38. Let d be r(7). Let b be (-2)\/(d*(-2 + 40\/12)). Which is smaller: b or 0.023?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 931300, 1862598, 2793894, 3725188?\nAnswer: 4656480","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 27987372 divided by 11676?\nAnswer: 2397","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8684*r + 126438 - 266397 = -554*r + 118705 for r.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 139017?\nAnswer: 3, 149, 311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = 19*o + 5*o - 27*o. Let t(y) = -17*y. Determine t(q(m)).\nAnswer: 51*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.12 + -127142441234027.\nAnswer: -127142441234026.88","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put 17, -439, -71, 0 in descending order.\nAnswer: 17, 0, -71, -439","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1100\/176 - (-31)\/(-124)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1606237200 to the nearest 100000.\nAnswer: -1606200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 237 minutes after 8:20 AM?\nAnswer: 12:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -3*g + 2. Let s be i(2). Let q(y) = y**3 + 2*y**2 - 8*y + 4. Let x be q(s). What is the highest common factor of x and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (10*i - 5*i - 4*i)*(1 - 2 - 3)*(22*i**2 + 294*i - 294*i) to q*i + y + h*i**2 + o*i**3 and give o.\nAnswer: -88","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 3 + 3*s**4)*(3 - 2 - 2) - 2*s**4 - 1 + 1 + 3*s**4 + s**4 - 2*s**4 - 3*s**4 + s**4 - s**4 + (s**2 - 2*s**2 - s**2)*(-s**2 + 4*s**2 - s**2).\nAnswer: -10*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = w - 3. Let t be x(2). Let j be (4\/6)\/((-2)\/(-6)). Let h = 19 - 19. Which is the closest to t? (a) h (b) j (c) 1\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = u + 4. Let x be p(-4). Let b(c) = x + c**3 - 4*c**2 - 2 + 4. What are the prime factors of b(4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2775 to the power of 1\/5, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 13, h: 6}. What is prob of picking 2 h?\nAnswer: 5\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -13.984 + -42.906. Let d = -57 - a. Let t = d + 0.01. Put t, 0.2, 0.5, -5 in decreasing order.\nAnswer: 0.5, 0.2, t, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (14 - -1)*12\/(-18). Let p be (-3 - f) + -4 - 3. Let i(y) = y**2 + y + 19. What is i(p)?\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1709 rounded to 2 dps?\nAnswer: 0.17","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m = -4*m. Suppose z - 3*y = -5, 4*z - 5*y + 0*y - 1 = 0. Suppose -z*g + g = m. Solve 3*h + 4*b = 0, h + 0*h - 3*b = g for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-4)\/(-6) - 188\/12. Let f be (-1948)\/i + (-8)\/(-60). Let g be -1*5\/(-25) + (-46)\/f. What is the closest to -3 in -0.4, g, 1\/4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:37 AM and 5:27 PM?\nAnswer: 410","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = 2*r**2 - 17*r + 14. Let g be h(25). Suppose -g - 158 = -w. Is w a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 25271 and 37?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-84)\/24*340\/(-70)*301. Calculate the highest common divisor of b and 2408.\nAnswer: 301","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 288 and 54.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*sqrt(68) + 5.\nAnswer: -2*sqrt(17) + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 69093650?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4487, 8974, 13461?\nAnswer: 17948","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4\/11? (a) 413 (b) -1\/3 (c) -1\/7 (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 2980305 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: Suppose -15*u + 8320 = 50*u. Calculate the highest common divisor of u and 528.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5029907 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 49 divide 3626?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-12)\/(-15))\/(8\/20). Find the second derivative of -4*d - 2*d - i*d**2 + 3*d + d wrt d.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2)\/(-8) - 21\/(-60). Let a = -0.425598 - -0.025598. Let i = 83\/4 + -20. What is the nearest to -2\/9 in s, a, i?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1254078 divided by -19906?\nAnswer: -63","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 38 a factor of 9006?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 95\/(-225) - (-8)\/36?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 30702\/(-16065) + 3\/27 + 1?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1702*m + 1711*m + 2*p = -p - 171, -3*p - 195 = -3*m for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 1 (b) -1 (c) -7 (d) -3\/5 (e) 0.044\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find g, given that -3*g**4\/7 + 726*g**3 + 30567*g**2\/7 + 56082*g\/7 + 30600\/7 = 0.\nAnswer: -3, -2, -1, 1700","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 e, 1 p, and 1 j when four letters picked without replacement from {n: 3, p: 1, e: 2, j: 6, f: 3}.\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 45*l - 20158 + 20023 = 0 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -22*v**2 + 18*v - 55. Let p be d(3). Let m = p + 199. Solve w = -5*h - m*w, -1 = 4*h + w for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 2069264?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -129, -257, -385, -513?\nAnswer: -641","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -221*h + 12170. Is 26 a factor of l(-123)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/5, 2\/5, -1\/4, -29 in decreasing order.\nAnswer: 2\/5, -1\/5, -1\/4, -29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m + 54 = 4. Does 14 divide m*4 + (-4)\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-3)\/(5\/8 - 1). Let u be 1 - (-1)\/(2\/b). Solve s - d - 3 = 2*s, 2*s + u*d = 0 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -7*m**2 + 6*m**3 + 7*m**2 + (-2*m + 2*m - m)*(m**2 + 4 - 4) - m**3 + 0*m**3 - m**3 + 3*m - 3*m - 2*m**3 + 2*m**3 - 5*m**3 + m**3.\nAnswer: -m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -18 + 73112?\nAnswer: 73083","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 369\/861*14\/36\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = 2*g**2 - 8*g + 4. Let o be h(3). Which is the nearest to -1\/4? (a) -2\/9 (b) -0.2 (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 75 * -0.3.\nAnswer: -22.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -q**3 - q - 1. Suppose 0 = -7*m + 16 - 2. Let r be 0 - 1\/m - 6\/12. Let s be n(r). Solve -3*f + s = -5 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -34*m - 3. Let k be b(8). Let i = -125 - k. Suppose 4*h = 5*l - i, -3*l + 23 = 3*h - 40. Calculate the remainder when l is divided by 9.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6540132.\nAnswer: 2, 3, 31, 17581","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -63 + -42 + (36 - -19).\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sv when two letters picked without replacement from assrasvvasrsa?\nAnswer: 5\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -n**2 - 9*n - 8. Let y be -2*((-7)\/(-2))\/1. Let c be g(y). Solve 0 = k - c*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 6396063699?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -l. Let z(q) = 801*q. What is 9*c(m) + z(m)?\nAnswer: 792*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.185 - 2.815. Let u be (-2)\/(-9) + (-326)\/171. Let l = 34\/19 + u. Which is the nearest to 0.1? (a) 5 (b) l (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 64\/1335 - 23731\/58740. What is the common denominator of r and 139\/228?\nAnswer: 2508","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00014293 to 4 decimal places.\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c - 26 = -4*r - 10, 4*r - 24 = -3*c. Let f be (4\/6)\/(c\/114). Suppose -23*l = -f*l - 308. What is the greatest common factor of l and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = b**2 - 8*b - 6. Let f be n(9). Suppose -f*k = 2*k - 30. Solve -4*p + k*t - 4 = 4*t, p + 3*t + 8 = 0 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 8201, 17486, 27839, 39254, 51725, 65246?\n\"Answer: -q**3 + 540*q**2 + 7672*q - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3)\/(-10) - ((-79)\/10270)\/((-2)\/178).\nAnswer: -5\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.1074721498 and 0.4.\nAnswer: -0.04298885992","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n and 2 x when three letters picked without replacement from kxwknwxnwkkxwwkkkxk?\nAnswer: 4\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.0507 * -88.\nAnswer: -4.4616","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 23881, 98762, 223577, 398338, 623057?\nAnswer: 897746","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 735*k**4 - 366*k**4 + 33*k - 353*k**4 - 26*k - 1 + 2*k**3 in the form a*k**4 + l + o*k**2 + r*k**3 + h*k and give r.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -12, -11, -4, 9, 28, 53?\n\"Answer: 3*m**2 - 8*m - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 y and 2 k when four letters picked without replacement from {z: 4, x: 3, c: 1, y: 2, k: 7}?\nAnswer: 3\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-3 - 117)\/(5\/912500). Round p to the nearest one million.\nAnswer: -22000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:29 PM and 11:29 PM?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 - (2 + 6) - ((-2 - -1) + -5 + -65)?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 9268257 bigger than 9268258?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -2 - -1713610?\nAnswer: 1713608","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = 6*g**3 + 5*g**2. Let j(f) = -3*f**3 - 3*f**2. What is -10*j(b) - 6*v(b)?\nAnswer: -6*b**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 104824, 104822, 104818, 104812, 104804, 104794, 104782?\n\"Answer: -m**2 + m + 104824","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.45 + -3.38. Let h = -4.92 - y. What is h rounded to 1 decimal place?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 160582?\nAnswer: 2, 17, 4723","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 577, 1, -5, 3, 8 in decreasing order.\nAnswer: 577, 8, 3, 1, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 3494846479?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 - 6 - (1 + 18 + -21)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s + s = 0. Let l = -2 - -2. Suppose -2 + l + s + 16*r - 32*r**2 = 0. What is r?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is cc - 8?\nAnswer: c4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 37597?\nAnswer: 7, 41, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 82 divide 566292?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-d**3 - 4*d + 4*d)*(0*d - 7*d + 5*d) + (2*d**4 - 5 + 5)*(-1 + 3 - 4) - 5*d**4 + 4*d**4 + 0*d**4.\nAnswer: -3*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 + (-2 - -1) - (5208 - 5276)?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -9 + 0 + (4 - 2) + 2\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q + 3*q = 0. Let h(s) = s**3 - s**2 + s + 5. Let b be h(q). Suppose -b*l - 1 = -16. Solve l*t = 3*z, -5*t - 4*z = -t + 8 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 49.58367m to nanometers.\nAnswer: 49583670000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -5615 (base 8) in base 9?\nAnswer: -4045","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = 1850*g**2 + 396*g - 1203. What is the tens digit of v(3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(125) + -5)*-5 + (sqrt(125) + sqrt(125) + (2 + sqrt(125))**2*6 - sqrt(125)) + 4)*6.\nAnswer: 600*sqrt(5) + 4818","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -9038 - -9039. Sort 5, 3, p, 232 in increasing order.\nAnswer: p, 3, 5, 232","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 465 a factor of 300390?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4622, -4623, -4624, -4625, -4626?\nAnswer: -4627","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 4314\/4*(2 - (-16)\/(-6)). Let n = -6 - l. Is n a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(-5*(sqrt(343)*2)**2 - (4 + (sqrt(343) - 2*sqrt(343) - sqrt(343)))**2).\nAnswer: -32992 + 448*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 2, k: 2, o: 2, h: 1, e: 1, i: 1}. What is prob of sequence oho?\nAnswer: 1\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 6649213.991 to the nearest 100000.\nAnswer: 6600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1978 is divided by 86.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) be the second derivative of -f**4\/12 + f**3\/6 + f**2\/2 - 2811*f. Let m = -3 + 4. Give p(m).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 6421414.2 to the nearest 1000000.\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (7\/2 - 3)*144\/(-120). Sort 0.2, -0.1, -20\/27, i in descending order.\nAnswer: 0.2, -0.1, i, -20\/27","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = c**2 + 6*c + 2. Let d(r) = -r**2 - r. Let m(y) = -5*d(y) - l(y). Let f(x) = x**3 - 5*x**2 + 3. Determine -2*f(v) - 3*m(v).\nAnswer: -2*v**3 - 2*v**2 + 3*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 73*k - 21*k - 24*k - 420 for k.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1.091 and -1.\nAnswer: 1.091","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -6*x**2 - 21*x + 20. Let f be k(16). Let d = -599 - f. What are the prime factors of d?\nAnswer: 7, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 19120705 is divided by 1912070.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 10 + -1. What is the lowest common multiple of 10 and u?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*f - 2*h = -20, 0*h = 4*f + h - 16 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -1351 - 474991?\nAnswer: -476342","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) be the first derivative of l**4\/3 + 4*l**3\/3 - 6*l**2 + 20*l\/3 - 11. Solve k(j) = 0 for j.\nAnswer: -5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2345 + -2235. Suppose 80 = 5*p - 8*a + 3*a, 3*p = 5*a + 42. Suppose -5*u + 69 = p. Calculate the greatest common factor of u and f.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 151280\/(-2135)*4*70\/(-160).\nAnswer: 124","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 667987 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put -2516, -3, -31 in ascending order.\nAnswer: -2516, -31, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 3982442 to the power of 1\/3, to the nearest integer?\nAnswer: 159","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 2*w = -18380, -4*w = 3*i - 12998 - 42192. What is the units digit of i?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4680 * -13161\nAnswer: -61593480","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 1044*c**4 - c**3*n + 2406*n wrt c?\nAnswer: 4176*c**3 - 3*c**2*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -191 + 233. Suppose -3*x - 3*a + 6*a + 36 = 0, 5*a + 27 = 2*x. What is the remainder when b is divided by x?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) be the third derivative of y**2 + 0*y + 0*y**4 + 0 + 0*y**3 - 1\/60*y**5. Let t(p) be the second derivative of p**4 + 66*p. What is t(i(x))?\nAnswer: 12*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide 54 by 27.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 109 + -104. Solve -2*r = -m*d - 14, -3*d = 2*r + 1 + 1 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7976722 divided by 2\nAnswer: 3988361","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 63 minutes after 6:47 PM?\nAnswer: 7:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = 5*c**2 + 4*c + 5. Let d(w) = -9*w**2 - 7*w - 9. Let z(j) = -4*d(j) - 7*g(j). Let x be z(-1). Solve -30 = 7*k - 3*k + 5*l, -2*l = -x*k - 6 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 189.7094 millilitres to litres.\nAnswer: 0.1897094","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from lwlwwllllwdlwwl. Give prob of picking 4 w.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.1335 rounded to 1 decimal place?\nAnswer: -1.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 3 + 1)*(-4 - 2 + 5)*(-2*s + s - s)*(0*s + 0*s - 3*s + (-s + 5*s - 2*s)*(12 + 2 + 3)).\nAnswer: -248*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -3 - 2635684?\nAnswer: -2635687","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 194 - 111. Let w = a + -81. Solve w*b + 22 = -4*u, -b = -4*u - 9 + 2 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n = 3*y - 885, -5*y + 0*y + 4*n + 1475 = 0. Is y composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*q**5\/8 + 6483*q**4\/8 + 514971*q**3\/8 + 9893205*q**2\/8 - 38348073*q\/4 - 1966356 = 0.\nAnswer: -336, -51, -1\/5, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -14 + 19. Suppose -y*p + 3*p - 6 = 2*v, -2*p = 6. Let w be (2\/(-28))\/((-2)\/(-4)). Is w > v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*j**5 - 3*j**4 + 3*j**4 + (4*j**2 - 4*j**2 + j**3)*(-3 - j**2 + 3) + j**5 + j**5 - 4*j**5 + 7*j**5 - 17*j**3 + 17*j**3.\nAnswer: 2*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -36425 - -23525?\nAnswer: -12600","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -95\/4 and -45\/68.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-8 - -7)*(2 - 2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.24 * 0.181.\nAnswer: 0.04344","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/92 in -0.2, -2\/33, 4?\nAnswer: -2\/33","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 2064\/36 + 1\/(-3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -185, -345, -505, -665, -825?\nAnswer: -985","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or 2\/3141?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -u**2 + 5*u + 5. Let j(w) = w - 1. Let m(p) = -4. Let g(l) = -4*j(l) + 2*m(l). Let n(o) = -4*d(o) - 5*g(o). Let y(c) = c**2. What is y(n(h))?\nAnswer: 16*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -4215*g**2*y + 6*g*y*z + 14465*y*z wrt g?\nAnswer: -8430*g*y + 6*y*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 14814, 14899, 14982, 15063, 15142, 15219?\nAnswer: 15294","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*z**32)\/z*z\/(z*z**11) assuming z is positive.\nAnswer: z**21","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -35948008946 plus -0.5?\nAnswer: -35948008946.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1000 and 875?\nAnswer: 125","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 311\/(-3) - (-5)\/(-15). Let v = t - -55. Let l = -3 - v. Is l a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -2260, 588, 5338, 11990, 20544, 31000?\n\"Answer: 951*x**2 - 5*x - 3206","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*x + 8, 8*n - 2*x = 3*n + 1. Solve -3*c - 2 + 7 = 2*h, 0 = -h + n for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 922 + 2?\nAnswer: 924","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 11060 and 30?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is -128676 not equal to -128677?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.01 times -2642?\nAnswer: -26.42","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + (sqrt(1029) + 4*sqrt(1029) - sqrt(1029) - sqrt(1029))\/((sqrt(12)*2)\/sqrt(4)))**2.\nAnswer: -105*sqrt(7) + 3187\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3352, 3400, 3466, 3550, 3652, 3772?\nAnswer: 3910","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 7984899 to the nearest integer?\nAnswer: 200","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -13 - -23. What is the remainder when 19 is divided by q?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nnj when three letters picked without replacement from ejnwpwnejnnjpjpjnee?\nAnswer: 50\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (5\/(-15))\/(14\/(-6)). Let f = -0.02 - -3.02. Let a = 4 - f. Sort -4, v, a in decreasing order.\nAnswer: a, v, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -295621 or -295623?\nAnswer: -295621","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (2 - 4)\/((-1)\/6). Suppose 0 = -3*q + 5 + 4. Let k be 2\/q - p\/18. Solve k = -2*n - 7*r + 5*r, -n + 3*r - 16 = 0 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -6 - -9. Let k(u) be the second derivative of 0 + 1\/2*u**2 + 1\/12*u**4 - 4*u - 1\/6*u**x. Give k(3).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -353205, -353197, -353185, -353169, -353149, -353125?\nAnswer: -353097","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 682929739?\nAnswer: 163, 523, 8011","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 107 minutes after 6:14 AM?\nAnswer: 8:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1337875 by 10703.\nAnswer: 125","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3.8 - 0.6. Let v = 4 + f. What is the third biggest value in v, 0.5, 1\/3?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = 42*p**2 + 5*p - 8. Let n be v(2). Suppose 150 = 5*y + n. Are y and -27\/8 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23*p = -4078 + 4308 for p.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 40 - 43. Which is the nearest to -3? (a) 0.4 (b) o (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = y**3 + 884 + 825 - 1797 + 30*y**2 + 26*y. Determine h(-29).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -10\/1649 or 2.1?\nAnswer: 2.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3026 and 34.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + (-14 - (21 - (6 + -16 + 0))).\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 7\/3 of a century?\nAnswer: 2800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 648 less than -0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve b = -58*j + 60*j + 6, -j - 25 = 5*b for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) be the third derivative of -i**5\/30 + 24*i**2. Let w(h) = h - 21. Let v(p) = -3. Let m(x) = 21*v(x) - 3*w(x). Calculate d(m(l)).\nAnswer: -18*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 15 + -43. Does 5 divide 14\/(-18)*n - 2\/(-9)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.01633 to 3 dps.\nAnswer: -0.016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = 19*z - 3. Let a(u) = -3*u**3 - 4*u**2 + 5*u + 4. Let t = -5 - -1. Let c(h) = -h**3 - h**2 + h + 1. Calculate t*c(q) + z*a(q).\nAnswer: q**3 + q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q = -2*q. Suppose q*m = -3*m. Solve 2*g = -5*w + 27 - 7, m = -2*w + 3*g + 8 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*u + 6*u - 3*u**3 + 3 - 2 to q*u**3 + o*u + b + i*u**2 and give b.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 3 + -221030?\nAnswer: -221021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2938454 or 1?\nAnswer: 2938454","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*q**4 - 5*q**4 + q**4 + (-5*q**2 + 0*q**2 + q**2)*(-14*q**2 + 2*q**2 + 4*q**2).\nAnswer: 33*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15757.\nAnswer: 7, 2251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -81\/4 + 251\/12. Suppose -3*o - 18 = -k + 4*k, -2*k - 4*o - 18 = 0. Let h be 2 + k\/(9\/11). What is the closest to -1 in h, x, -0.1?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 - 5 = -y. Suppose 4*z - 288 = y*r, -22*z + 4*r - 185 = -25*z. What is the tens digit of z?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -164*u + 73*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -12*(27\/(-6))\/3. Let k be o\/(-5)*15\/(-6). Is 10 less than k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 87 a factor of 4222?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 2297, 1 in descending order.\nAnswer: 2297, 1, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 18 + -16. Suppose -j - 3 = -3*m, j - 3 = -2*m + 4. Suppose 0 = -3*c + 3*s + 51, -3 = 3*s - 6*s. Solve y - c = v*p + m*p, 0 = y - 3*p - 13 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3286, 13164, 29630, 52684, 82326?\nAnswer: 118556","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) be the second derivative of -3047*d**5\/20 + 17*d**3\/3 - 2*d**2 + 310*d - 1. What is the second derivative of g(u) wrt u?\nAnswer: -18282*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s = -3*j + 5*j - 2198, 3*j = -3*s + 1641. What is the highest common divisor of 24 and s?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 167*g - 162*g = -10. Suppose -2*p - 5*r = p + 18, 3*p - r + 18 = 0. Let t be (-1)\/p*-2*1. Which is the third biggest value? (a) g (b) -9 (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2\/3 + 102\/(-18). Let j(h) be the first derivative of 1160*h**4 - h**3\/3 - 3*h**2 - 5*h - 1. Let d be j(y). What is d rounded to the nearest 100000?\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2431?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express -201*b + 98*b + 8*b**2 + 27*b**2 - 1 - 8*b**3 + 103*b + 3*b**4 as w*b**2 + x*b**3 + t*b**4 + z + q*b and give w.\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 834, 803, 762, 711?\n\"Answer: -5*l**2 - 16*l + 855","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 52 + -46. What is the second derivative of o*l**5 + 12*l + 6*l + 18*l**5 + 15*l**5 wrt l?\nAnswer: 780*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000172 rounded to seven dps?\nAnswer: 0.0000017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 3300342 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-10)\/15)\/((-2)\/15). Suppose 5 = 5*i - y. Suppose 5*g - 12 = g. Calculate the remainder when g is divided by i.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:35 AM and 7:06 AM?\nAnswer: 331","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + sqrt(700))*1 + 0 + -4 + 5 + 3 + -1 + sqrt(700) + 2.\nAnswer: 6 + 20*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l = -3*v - 932003, -21*l = -18*l - 5*v - 699005. Round l to the nearest ten thousand.\nAnswer: 230000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 divided by 5019\nAnswer: -1\/1673","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8430, 0.19, 1 in descending order.\nAnswer: 8430, 1, 0.19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -28 - -18. Let r be (137\/(2055\/(-10)))\/((-3)\/((-27)\/87)). Which is the smallest value? (a) 0.4 (b) r (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 11 - 11.3. Which is the closest to 0.1? (a) y (b) -1\/2 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -207*x - 59. Let m(f) = -103*f - 24. What is -5*m(p) + 2*s(p)?\nAnswer: 101*p + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2280.9 - -2281. Which is the nearest to 1? (a) 1 (b) -0.2 (c) 0.13 (d) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -r**5 + 328*r**4 - 1302*r**3 + 1948*r**2 - 1297*r + 324.\nAnswer: -(r - 324)*(r - 1)**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 25 divide 150?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express 45*h - 1 + 0 + 58*h + 1 in the form b*h + g and give g.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 5676 and 12.\nAnswer: 5676","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4515*d - 14688*d - 1298*d to m + j*d and give j.\nAnswer: -20501","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 111457 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -8278, -8304, -8330, -8356?\n\"Answer: -26*k - 8252","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-690)\/(-10)*794\/(-3). Is m\/(-20) - 7\/70 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 32913268.\nAnswer: 2, 59, 89, 1567","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26*f = -18542 + 18412. Let k be -1*(-9 - 2*-1). Solve -32 = f*q - k for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 120567 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*q**2 + 0*q**2 + 0*q**2)*(3*q - 2*q - 15 + 13).\nAnswer: -6*q**3 + 12*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = 7*o. Let r(n) = 9*n + 1. Let i(u) = 4*r(u) - 6*w(u). Let m(c) = 9*c - 6. Give 8*i(t) + 5*m(t).\nAnswer: -3*t + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*v**3\/13 + 50298*v**2\/13 - 23220*v = 0. Calculate v.\nAnswer: -25155, 0, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = 69*v + 63*v - 140*v. Let x(n) be the third derivative of -n**4\/12 - 2*n**2. Determine i(x(l)).\nAnswer: 16*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 240\/4*1\/8*4 and 39?\nAnswer: 390","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-5)\/2*(1856\/(-720))\/(-29). Which is the nearest to j? (a) -0.3 (b) 11 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) be the second derivative of -5*n**3\/6 - 5*n. Let b(x) = 129*x**2 - 257*x**2 + 124*x**2. Determine b(u(j)).\nAnswer: -100*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o and 1 m when two letters picked without replacement from {i: 2, m: 1, d: 4, o: 3}.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*s - 5*o = 1, -4532*s - 2*o - 19 = -4537*s for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.5 and -25734010.\nAnswer: 12867005","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 times 0.103?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -0.3 (b) 0.3 (c) 1\/10 (d) -3 (e) 71\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -16*j**3 + 6*j**2 - 36*j**2 + 18*j**2 + 26*j**2. Let y(p) = p**3 - p**2. Calculate -2*r(d) - 28*y(d).\nAnswer: 4*d**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 50889 + -29030. Is d prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -131 - 239. Round f to the nearest 100.\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*k = -11*k - 429. Is k a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4022792 is divided by 972?\nAnswer: 656","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -3264.252 rounded to the nearest integer?\nAnswer: -3264","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (0 + (((sqrt(1900)*-1 + sqrt(1900))*4 - sqrt(1900) - (6*(1 + sqrt(1900)) + sqrt(1900))) + 0)**2)*-6.\nAnswer: -729812 - 5760*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 585 a multiple of 35?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 11 or 794\/121331?\nAnswer: 794\/121331","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 4664616*c**5 - 2*c**4 - c**3 - 642663937*c**2.\nAnswer: 279876960*c**2 - 48*c - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*u = 12*u - 5*u - 80 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -12*i + 20*i. Suppose i = 2*c + c, 4*c = h + 86. Let t = h + 90. Solve 9 + 6 = -5*s + 3*w, 5*w - 25 = t*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 64 a factor of 1615936?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1020422.\nAnswer: 2, 13, 3019","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -341 times -47?\nAnswer: 16027","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 131\/18 or 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 221905919 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0 + 8. Let i = a + -7.999942. Round i to 5 decimal places.\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -54*x - 43*x = 679 for x.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 6*h**5*v - 46369*h**5 + 2*h**2*v - 3*h*v - 24490*v + 3 wrt h?\nAnswer: 360*h**2*v - 2782140*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = l**3 - 21*l**2 + 59*l + 90. Calculate m(15).\nAnswer: -375","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -50.064349 rounded to the nearest ten?\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 6079.786 years in months?\nAnswer: 72957.432","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 27.7 - 30. Let f = 1.05012 + -1.35012. Sort -3, g, f in increasing order.\nAnswer: -3, g, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p - 53 = -4*z, -2*z + 5*p + 29 + 20 = 0. What is the highest common factor of z and 18?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = m**3 + 7*m**2 + 4*m - 7. Let u be t(-6). What is the third derivative of 0*b**u + b**5 - 3*b**2 + 0*b**5 wrt b?\nAnswer: 60*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*k**3\/4 + 10949*k**2\/4 + 3649*k\/2 = 0 for k.\nAnswer: -3649, -2\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = 3*u**2 + 4*u - 3. Let w(m) = -m**3 + 2*m**2 - 2*m + 2. Let l be w(2). Let z be (-3)\/(-12)*l + 5\/2. Determine h(z).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (6\/2)\/(3\/(-2)). Is -194*(2 - (-5)\/v) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1428 = 10*i - 3*i. Is 17 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 264111 is divided by 568?\nAnswer: 559","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -265 + 346. Let n(z) = 9*z**3 + 4*z - 4. Let j(k) = 180*k**3 + 81*k - 81. Calculate m*n(s) - 4*j(s).\nAnswer: 9*s**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 583024 (base 9) to base 4.\nAnswer: 1111123312","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -399\/4*y**2 + 39\/4*y**3 + 0 + 361\/4*y - 1\/4*y**4.\nAnswer: -y*(y - 19)**2*(y - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21 - (39 + -3)\/3?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 + -2 + -9 + -8?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*y**2\/7 + 5299803*y\/7 + 5299800\/7.\nAnswer: 3*(y + 1)*(y + 1766600)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -4*x**3 - 3*x**2 - x + 6. Suppose 13*z = -3*z + 64. Let a(b) = -3*b**3 - 4*b**2 - b + 6. Let h(p) = z*t(p) - 5*a(p). Determine h(8).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -419491712*t**3 + 803070*t**2 - 35*t?\nAnswer: -2516950272","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 195*q + 3*l - 67 - 122 + 18, 13 = 5*q - l for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -3503 - -15?\nAnswer: -3455","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -4*u + 2*u + 5*r, -3*r + 15 = 0. Let t(g) = g**3 - g. Let i be t(-1). Suppose 2*o + i*o = u. What is the units digit of o?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 539053920?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1638)\/16)\/(-7)*280\/105.\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 588 and 141?\nAnswer: 27636","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3 in 63\/2, 1, 3, 2?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (-6174)\/147*(-1)\/(-6)\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sum 5040 and 1.\nAnswer: 5041","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 1211945123 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 128 and 860?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (33\/22)\/(2\/20). Suppose -3*z + 5*y - m = 0, 0*z - 2*z - 5*y = -15. Let h(n) = -n**3 + n - 11. Determine h(z).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (1026\/168 + -6)\/((-9)\/(-53)) and -26\/21?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*t - 89 = -305. Let i = 74 + t. Is i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -91\/40 and -73\/726046292.\nAnswer: 7260462920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:52 PM and 2:51 AM?\nAnswer: 359","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 8251 and 1555648?\nAnswer: 223","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w - 673 = 3*q, -6*w + w + q + 3351 = 0. What is the units digit of w?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 300 and 46131025?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -51*c + 57*c = -42 for c.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*m**4 - 2 + 2 + (-m**2 + 3*m**2 + 0*m**2)*(8*m - 14*m - 17*m)*(-2*m + 2*m + 2*m) as g*m + r + z*m**3 + k*m**2 + t*m**4 and give t.\nAnswer: -94","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u + 12 = 3*r - 17, 5*u + r - 39 = 0. Solve -u*y = -12*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1.144 - -714.\nAnswer: 715.144","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 14, -1\/3, -3, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**0)**(-4\/13))**(1\/32)\/(i\/i**(3\/4)*i**(-9))**(-41) assuming i is positive.\nAnswer: i**(-1435\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) be the second derivative of p**4\/96 + 89*p**3\/48 - 235*p**2\/8 + 1139*p. Determine w so that j(w) = 0.\nAnswer: -94, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2576424809 to the nearest integer?\nAnswer: 50758","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 77379986 is divided by 1349?\nAnswer: 1346","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 1665 + -8?\nAnswer: 1657","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -29 + 41742\/2322 + 11?\nAnswer: -1\/43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 13246?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 >= 1\/1459013?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -11*j + 586. Let t(o) = -18*o + 1163. Give 5*k(f) - 3*t(f).\nAnswer: -f - 559","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 36484789 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -11, 498, -1, 1 in descending order.\nAnswer: 498, 1, -1, -4, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -66 + 65.7. What is the second biggest value in b, 1, -5, -11?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1\/2 or -82\/5158403?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -142314 divided by -2.\nAnswer: 71157","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -47, -93, -139, -185, -231?\nAnswer: -277","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 114 (base 8) to base 6.\nAnswer: 204","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -293 + -c?\nAnswer: -2a2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 44970921?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -7*j + 46. Let w be s(6). Suppose 0 = -0*v - w*v - 5*h - 15, 3*h = -4*v - 9. Solve -4*a + 3*a = v for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 38 + -39.7. Let o = -2 - u. Suppose 72*w + 117 - 163 + 262 = 0. Which is the closest to 0? (a) w (b) 4 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 25 divide (-26 - 44460)\/(3 + -5) - -2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*d**2*s**3 - 2*d**2*s**2 + 266*d**2 + 1310*d*s - d - 56744*s**3 wrt s.\nAnswer: -12*d**2*s - 4*d**2 - 340464*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -2*p**3 + 43*p**2 - 30*p - 1. List the prime factors of h(20).\nAnswer: 599","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f - 5*x = -1218, x = 3*f - 517 - 1327. Suppose -2*g + 0*g - f = 0. Let w = -147 - g. Calculate the greatest common divisor of w and 20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*q**3 + 3*q**3 + q**3)*(3*q**2 - 3*q**2 - 4*q**2) + (-8*q**3 - 6*q**2 + 6*q**2)*(-10*q**2 - 14*q + 14*q).\nAnswer: 72*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -t - 2. Let x be z(-5). Suppose -x*v + 15 = 0, -u - 2*u = -v - 22. Is -2 - -1*(0 + u) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 400299.3 months?\nAnswer: 3335.8275","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -22112221211 (base 3) in base 11?\nAnswer: -105551","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = 57*y - 2750. Let u be n(56). What is the highest common factor of 468 and u?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -283e3 (base 15) to base 7\nAnswer: -1045332","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (36\/(-60))\/((-135)\/(-900))\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 259099 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from sjfdufr. What is prob of picking 4 f?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 695 is divided by 135.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(5*3*sqrt(99) - (1*sqrt(99)*3 - sqrt(99))))\/((sqrt(90)\/(sqrt(20)\/sqrt(2)) - sqrt(9)) + (sqrt(99)*2 + sqrt(99))\/sqrt(11) + sqrt(9)).\nAnswer: -39*sqrt(11)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -24 - -75. Let k be (12\/(-17))\/(-6) + (-1634)\/17. Let p = 116 + k. What is the remainder when q is divided by p?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -20 (b) -2 (c) 429\/5 (d) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-2)\/3)\/((-3)\/36). Solve -9*a + 68 = h*a for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 + 1)*(-10*v - 14*v + 22*v + 13*v**4).\nAnswer: 13*v**4 - 2*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 37 - 17. Suppose -16*o + m*o - 200 = 0. What is the tens digit of o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 59605 + -31908. List the prime factors of z.\nAnswer: 27697","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 71 is divided by 18\/(-153) + (-308)\/(-17)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -p**3 - 2*p**2 - 2*p + 2. Let c = 7 - -2. Suppose -12 = -t - 3*g, 0 = -2*t - 4*g - c + 23. What is the units digit of n(t)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = s**2 + 7907*s + 26. Let p(a) = -2634*a - 7. Determine -2*f(r) - 7*p(r).\nAnswer: -2*r**2 + 2624*r - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 72 - (-59 - (-426963)\/3255)\nAnswer: -6\/35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 450\/(-27)*(-6)\/5.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 772253?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1342395 and 1035.\nAnswer: 1035","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = 4*f - 34. Let r be v(10). Solve -5*i - 14 = -4*w + r, 2*w + 4 = -i for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.4 (b) -20 (c) 0.2 (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 24 divide 1324738512?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -33.2*-1.9.\nAnswer: 63.08","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) be the second derivative of -l**4\/4 - 7*l**3\/6 - 7*l**2\/2 - 4*l. Let y(z) = -2*z**2 - 5*z - 5. Calculate 5*o(r) - 7*y(r).\nAnswer: -r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 72\/5 of a tonne in kilograms?\nAnswer: 14400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.017 + -0.01. Let h = -0.073 + q. Let y = -0.41 - -0.91. Which is the nearest to -2\/31? (a) 4 (b) y (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 92537 and 320087.\nAnswer: 1517","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 + 15 = -5*x + p, 2*x = -4*p + 2. Let m be ((-1)\/x)\/((-2)\/(-24)). Suppose 4*a = 4*v - 20, -3*a + m = -8. What are the prime factors of v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nmqnnmnmqnmbmmbmmmmm. Give prob of sequence mm.\nAnswer: 11\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3584 and 30394.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -y + 4*y = 61*b + 1334 + 185, 4*y - 3*b - 67 = 0 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*i + 5*i + i + i + 0*i - 2*i + (0 - 2*i + 0)*(1 + 1 + 0) - 3*i - 2*i + 3*i + 1 - 2*i - 1.\nAnswer: -i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -264 = -28*a + 17*a. Calculate the remainder when 45 is divided by a.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-5 - (-300)\/(-28))\/((-2)\/924 - 0).\nAnswer: 2, 3, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 210420 (base 9) to base 8\nAnswer: 364111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -w + 5. Let i(h) = h**2 - 4*h - 1. Suppose -5*f + 28 = -m, -f + 3*m - 1 = -3*f. Let o be i(f). What is the remainder when 1 is divided by b(o)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -4383970, -4383916, -4383862, -4383808, -4383754?\n\"Answer: 54*r - 4384024","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 688*y - y**2 - 688*y.\nAnswer: -y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 58*q + 10*q - 68. Let z(o) = -3 + 3*o**2 - 2*o**3 + 0*o**3 - 3*o - 2 + 6. Let s be z(q). Are s and -2 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 133025 (base 8) to base 5.\nAnswer: 2442423","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 393415 to the nearest integer?\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 526 + -323. What are the prime factors of f?\nAnswer: 7, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2102*v - 2108*v + 6. Suppose -5*j - 145 + 1540 = 0. Is (j\/(-12) + v)\/(2\/(-8)) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 175134907 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 3928, 7856, 11784, 15712, 19640?\n\"Answer: 3928*m","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3053?\nAnswer: 43, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 4, k: 2, z: 4, e: 5, s: 1, c: 4}. What is prob of sequence ee?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1.5175kg to milligrams.\nAnswer: 1517500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2\/2571, 70, -2\/21?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*g = -3*g - 117. Let v = 197 - -581. Suppose 2*u + 199 = p, v = 4*p + 2*u - u. What is the greatest common divisor of g and p?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c = -122 - 289. Let g = c + 900. Does 18 divide g\/9 - (-1)\/(-3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-6)\/(-134))\/(138\/230). Are 1 and k non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10322021 (base 4) to base 12.\nAnswer: -b775","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.62535 and 0.1?\nAnswer: 0.72535","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 10494181 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/7 in -3.4, 1, 0.2, 0.4?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 2*r**3 + 5)*(3 - 3 + r) - 871*r**2 + 2*r**4 - 119*r + 871*r**2.\nAnswer: 4*r**4 - 119*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -104883*j*q*x**2 - 14*j*x**2 - 2*q*x**2 - 65*q + x**2 - 5433 with respect to q.\nAnswer: -104883*j*x**2 - 2*x**2 - 65","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = 0*v + v**2 + 2*v**2 + 2*v - 2*v**2. Let p = 3 - 1. Let q(d) = 2*d + 0*d + 7*d + 4*d**p. Give -26*a(s) + 6*q(s).\nAnswer: -2*s**2 + 2*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 334913 is divided by 2965?\nAnswer: 2833","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 12 - -140123020?\nAnswer: 140123032","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (2 - -1) + 1664 + -1699?\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0 + 3 - 1)*(-7*t + 0*t + 3*t) - 3 + 7*t + 7 - 5*t)*(0*t**3 + t**3 - 3*t**3).\nAnswer: 12*t**4 - 8*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -3*v**2 - 8*v + 3. Let x be s(-3). Let p be (-5)\/6*4\/(-5). Let a = -246 + 4676\/19. What is the closest to x in a, -3, p?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 106817 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -2*v - 7. Suppose 4*t + 2*t = -108. Calculate the remainder when j(t) is divided by 6.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2\/(-15) - 1748\/(-285). Let z be ((-1)\/(-2))\/(-3*m\/(-144)). What is the highest common factor of 88 and z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -15 - (0 - ((-1 - 9) + 11)).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) be the second derivative of h**7\/10080 - 13*h**6\/2880 - h**4\/12 + 7*h**3\/6 + h - 3. Let o(f) be the third derivative of c(f). Solve o(m) = 0.\nAnswer: 0, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0008213161 rounded to 4 dps?\nAnswer: 0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (-15 - -7) + (-4 - -6)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = 44*j - 41*j. Suppose 0 = -s + 1 + j. Suppose 5*n - 8*n = -45. What is the remainder when n is divided by s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 40 (base 16) to base 2.\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-3 + 2)\/(-13))\/(-47*67\/(-3149))?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-14)\/36*(-192452)\/25907.\nAnswer: 26\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(76) + sqrt(76)*-1*5)**2 + sqrt(76) - (sqrt(304) + sqrt(304)*2)*-1.\nAnswer: 14*sqrt(19) + 1216","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -2*j - 2. Let s(p) be the second derivative of -p**3\/2 - p**2 + p. Let k = -47 - -42. Determine k*u(i) + 4*s(i).\nAnswer: -2*i + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1022 to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = 33*t + 537. Let q(v) = 7*v + 108. Calculate 5*a(o) - 24*q(o).\nAnswer: -3*o + 93","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 - 7 = i. Let v be 1*(2 - -1*1). Suppose -5*j - 2 + 7 = -w, -w + v*j - 3 = i. Solve 0 = -3*b - 5*s + 12, -5*b - 2*s + 11 + 9 = w for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3905113.8 rounded to the nearest 10000?\nAnswer: -3910000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 88.18 + -88.179999721. Round f to 5 decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + -4 + ((sqrt(108) + -1)**2 + 2 + sqrt(108))*-3)*2.\nAnswer: -672 + 36*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -49, -38, -27, -16, -5, 6?\n\"Answer: 11*k - 60","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c, 1 v, and 1 k when three letters picked without replacement from xxxdcxdgkkcxvg.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 41 and 828241.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*v + 22 = 5*f, -9*v + 2*f = -5*v + 16 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m + m - 4 = 0. Suppose 0 = d - 9 + m. Suppose -4*n + 3*c + 0*c + 302 = 0, 5*n - 377 = 4*c. What is the highest common divisor of n and d?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(204)\/(sqrt(84)\/(2*sqrt(7))) + ((sqrt(170) - -2*sqrt(170))\/sqrt(10) - 1*sqrt(1700)).\nAnswer: -5*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8233 is divided by 67?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor 52*y**2 + 2692*y.\nAnswer: 4*y*(13*y + 673)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.3, -3.99, -0.5, 1\/3, -3 in descending order.\nAnswer: 1\/3, 0.3, -0.5, -3, -3.99","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l, 1 g, and 1 e when three letters picked without replacement from {f: 1, w: 2, l: 2, e: 5, g: 1, c: 2}?\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 m when two letters picked without replacement from {a: 1, u: 1, p: 8, f: 5, m: 5}.\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + 1 + -2*(sqrt(264)\/(sqrt(44)\/sqrt(4) + sqrt(11)))\/(sqrt(88)\/sqrt(99)))**2.\nAnswer: 12*sqrt(3) + 31","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = 533*l - 13. Is 39 a factor of o(5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 537288503 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*a + 14 = -91. Suppose 0 = -57*r + 62*r - a. Let g be -4 + 2 - 0\/1. Put 4, r, g in increasing order.\nAnswer: g, r, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -60, 1155, 4896, 12423, 24996, 43875, 70320, 105591?\nAnswer: 150948","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/3? (a) 3 (b) 2.981 (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23 = 3*w - 43. Calculate the remainder when 87 is divided by w.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -12528 divided by 3132?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1178484 and 45371634.\nAnswer: 90743268","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -34*q**3 + q**2 + 168*q + 1202. Let u be t(-8). Calculate the greatest common divisor of 10 and u.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1100220 + 11?\nAnswer: -1100202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19 + 34 - 15 + 564374*m**2.\nAnswer: 564374*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 878802239 to the nearest integer?\nAnswer: 172","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 1521260 a multiple of 65?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 54 is divided by 14?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 71*g + 11*g - 4 + 1 + 5 to o + s*g and give s.\nAnswer: 82","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 0 - 103333?\nAnswer: -103333","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 70155674?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -1077276.2724 rounded to the nearest 1000?\nAnswer: -1077000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((12177\/287)\/33)\/(6\/(-196)*-1)?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = 2*m**2 - 2*m - 1. Let p(g) = -2*g**2 + g + 2. Let o(s) = -3*p(s) - 2*u(s). Let l be o(-3). What is the greatest common divisor of l and 88?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (1 - (-1 - -4))*-1. Suppose 5*c - 11 = -1. Suppose c = -4*p + 14. Solve -p*u + g + 1 = 0 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 246098284?\nAnswer: 2, 1459, 42169","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -8*x - 47. Let c be p(-8). Let h(o) = c - 12 - 4 - 2*o. Let w(f) = -2*f**2. Determine w(h(v)).\nAnswer: -8*v**2 + 8*v - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -2192*p - 447. Let x(g) = 4383*g + 890. Let h(v) = -7*q(v) - 4*x(v). Find the first derivative of h(t) wrt t.\nAnswer: -2188","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 6721564 to the nearest integer?\nAnswer: 189","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*m + 2 + 2, -3*y + 142 = -m. Let k = -5 - y. Let i = -20 - k. Is 8 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1859.9993743 + 1860. Round u to four dps.\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1961 - 1807. What is the lowest common multiple of 42 and k?\nAnswer: 462","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 576\/145 or 2003?\nAnswer: 576\/145","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13141.\nAnswer: 17, 773","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3145, -6300, -9455, -12610?\nAnswer: -15765","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -h**3 - 3*h**2 - 3*h - 2. Let k be n(-1). What is the closest to -0.1 in 5, 2\/5, k?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jp when two letters picked without replacement from jjjjjjjjjjjjpjppjj.\nAnswer: 5\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 8567*a + 4786*a - 8128*a to w + t*a and give w.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5642 - b - 5732 + 11256 + 0*b.\nAnswer: -b - 118","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: Let h(g) be the first derivative of 253*g**6\/6 + g**3 + 2*g - 251. Find the third derivative of h(f) wrt f.\nAnswer: 15180*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 0.392, 2, -726, 0.5?\nAnswer: 0.392","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1 by -40.\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + ((2 + sqrt(567) + 0 + sqrt(567))**2 - 3*(sqrt(567)*2)**2)*-2.\nAnswer: -144*sqrt(7) + 9065","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 9\/10 of a day?\nAnswer: 77760","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*w**2 + 1 - 1 + (-363 + 363 + 63*w**2)*(-1 + 0 + 3) to the form x*w**2 + i + h*w and give x.\nAnswer: 128","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = 5*y**2 - 6*y - y**3 + 5 + 11 - 6. Let z be q(4). Suppose -3*c = c - x - 1327, -5*c = z*x - 1649. Is c prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1 and -9 + (14 + -189)\/(-7)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 44 + -9. Suppose 269664*t = 269712*t - 4368. Calculate the greatest common factor of i and t.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3 + -1. Let q = 2.2 - d. Let n = q - 0.3. Which is the nearest to 0.1? (a) 5 (b) n (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1810435467.\nAnswer: 3, 6373, 94693","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -879*b + 528*b - 952*b + 104306 + 32509 = 0 for b.\nAnswer: 105","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express 6972337*l**3 + 2*l**4 + 2*l - 6972322*l**3 + 2 + 29*l**2 - l**4 in the form a*l + q*l**3 + u + v*l**2 + o*l**4 and give o.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (4\/8)\/(-3 - (-31)\/10)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -23177, -46397, -69711, -93161, -116789?\n\"Answer: -7*r**3 - 5*r**2 - 23156*r - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -m**2 - 11*m - 5. Let j = -15 + 10. Let x = j + -5. Does 2 divide n(x)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1\/1713 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 0 + 13165480?\nAnswer: 13165480","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.1 <= 0.7264?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 27 + -13. Let q(h) = h - 40. Let u be q(o). Let p = 35 + u. What is the remainder when 34 is divided by p?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-15)\/12)\/((-2)\/8). Suppose 10*n = 4*h + u*n - 20, 0 = 3*n. List the prime factors of h.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2080 - 2080.20275. What is i rounded to two decimal places?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*n - 2*n + 5*n)*(-n + 1 - n + 0) + 4 - n**2 - 4 + (-2*n + 1 - 1)*(5*n - 2*n - n) + 0*n**2 - 3*n**2 + 2*n**2 + 0*n**2 - n**2 - n**2.\nAnswer: -4*n**2 - 2*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -0.3 times 2064523\nAnswer: -619356.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 44*i**2*m**2 + i**2*m + 36*i - 4912093*m**2 wrt i?\nAnswer: 88*i*m**2 + 2*i*m + 36","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -11904 + 11905. What is the closest to z in 1\/5, -10.9, 2\/39?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express r + 105 - 15*r - 2*r + 23*r - 2*r as a*r + x and give x.\nAnswer: 105","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 41401?\nAnswer: 19, 2179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-9)\/2*64668\/(-153).\nAnswer: 2, 3, 317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*h + 2*m - 12, 0 = 2*h + 2*m - 3*m - 6 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = c**2 + 2*c + 11. Is 6 a factor of f(-7)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -8 (b) 3 (c) -18540\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 10895849.89 rounded to the nearest 1000000?\nAnswer: 11000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*o = -18*o - 4*g - 15, 7*o = 8*g - 89 for o.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -15 + 11. Let o = -0.32 - -0.4. Let j = -5.08 + o. Sort 2, s, j in decreasing order.\nAnswer: 2, s, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 + 4 - 4 - (-5 - -2).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -9*t**2 + t - 7. Let f be (0 + 1)\/(1\/(-7)). Let m(d) = 6*d**2 + 2*d - 5*d + 4*d + 1 - 2*d + 4. Determine f*m(v) - 5*q(v).\nAnswer: 3*v**2 + 2*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -15*a - 19*a - 71 + 43*a. What are the prime factors of y(22)?\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 + 26 + -2 + (-12 - -14) + 9\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*3*1*(-1 + sqrt(1872) + 1))**2.\nAnswer: 16848","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3862697 is divided by 53644?\nAnswer: 329","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -40, -69, -108, -151, -192, -225?\n\"Answer: d**3 - 11*d**2 - 3*d - 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-3)\/(-3) - (-160)\/8. Solve 5*i - d = -m, -1 = -2*m - 2*i + 1 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 132*2*(-5)\/(-10). Calculate the highest common factor of 33 and t.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 531*h**3 - 227*h**2 wrt h?\nAnswer: 3186","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10720*f - 10724*f = -2*t - 22, -t = -4*f + 15 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o + 7*b + 20 = 0, -3*b + 7 = -5*o - 14. What is the closest to -0.9 in o, 2\/3, -32?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = 15*g**2 - 14*g - 28. List the prime factors of t(-16).\nAnswer: 2, 1009","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*l + 2*f = 8106 - 8102, -l + 2*l - 5*f = 14 for l.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:02 PM and 11:07 PM?\nAnswer: 605","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 21 (b) 0.3 (c) 0.215\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 200 and 14360.\nAnswer: 71800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 182 - 105. Is f a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 367*r - 386*r + 57 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r + 7 = -1. Factor -u**2 + 2 + 2*u - 4 - 2*u**3 + 3*u**r.\nAnswer: -2*(u - 1)**2*(u + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = 3*o**2 - 6*o + 10. Let i(p) = 4*p**2 - 7*p + 11. Suppose -1080*q = w - 1076*q + 34, -w + 4*q + 22 = 0. Give w*s(t) + 5*i(t).\nAnswer: 2*t**2 + t - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -202 - -872?\nAnswer: 670","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(980) - (sqrt(2000) + -4))**2.\nAnswer: 64*sqrt(5) + 336","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s - s + 4280 = 0. Let t(w) = -1070 - w + s. Let k(v) = -8*v. Determine k(t(n)).\nAnswer: 8*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -1245235211 + 3?\nAnswer: -1245235204","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 1, e: 3, u: 1, n: 5, h: 1, s: 3}. Give prob of picking 3 n.\nAnswer: 5\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4627095944?\nAnswer: 2, 1459, 396427","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1253 + 2505\/2. What is the nearest to 1 in m, 3, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -162074 smaller than -162076?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 27452985?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -675 + 675 - 10*p**2 - 14*p**2 + p**2.\nAnswer: -23*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000004963 rounded to six decimal places?\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 0.2206 - 6\nAnswer: -5.7794","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 94930613 + -42047446. Let u = m + -52883297.999931. Let q = -131 - u. What is q rounded to 5 decimal places?\nAnswer: -0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -761677 plus 4660?\nAnswer: -757017","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 3032200 + -10?\nAnswer: 3032130","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -839.99 + 631. Let o = 224.8 + -14.8. Let u = r + o. What is u rounded to 1 decimal place?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (-5 + (sqrt(99) - (sqrt(99) - 1*(sqrt(99) + 1))))**2 + 5.\nAnswer: -24*sqrt(11) + 122","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1881 and 22473?\nAnswer: 426987","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2817*o**2*w**3 + 8*o**2*w**2 - 4*o**2 - o*w**2 - 273*o*w + 319*w**3 + w wrt w.\nAnswer: 16902*o**2 + 1914","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/3, 20, -0.11, 2\/15 in decreasing order.\nAnswer: 20, 2\/15, -0.11, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u = -3*d - 4897, 3*u - 3675 = -103*d + 106*d. Calculate the smallest common multiple of 104 and u.\nAnswer: 4888","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7556030 divided by -7556030\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) be the second derivative of p**6\/15 - 187*p**4\/3 - 158*p**2 - p + 453. What is the derivative of c(b) wrt b?\nAnswer: 8*b**3 - 1496*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (106\/371)\/(16\/(-84)*6)?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.1 * -6.\nAnswer: -0.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g\/g**(-2\/5))\/g)**(-10\/7)*(g\/(g\/g**0*g))**(4\/3)*((g*g**(1\/2))**(-5))**(-2\/21) assuming g is positive.\nAnswer: g**(-25\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1513317 (base 10) to base 8.\nAnswer: -5613545","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = 11*v**2 + 4*v - 3. Determine t(2).\nAnswer: 49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 q and 1 c when three letters picked without replacement from wcccccccqcccccqcc.\nAnswer: 7\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -y**2 + 3 + 3 - 3 + 3*y**2 to the form k*y + w + v*y**2 and give v.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -4*w**3 - 2*w**2 - 4*w - 3. Let v be j(-1). Suppose -v*h - 4*p + 79 = 0, p + 170 = 2*h + 3*h. Calculate the greatest common factor of h and 297.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 173112.\nAnswer: 2, 3, 7213","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o - 2394 + 4879 = 0. List the prime factors of o.\nAnswer: 7, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 66 and 0.011.\nAnswer: 0.726","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 128 divide 132992?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 65 + (16 - 0) + (-1355 - -1359)\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 41\/10424 and 37\/2606.\nAnswer: 10424","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) be the first derivative of 4*a + 0*a**4 + 0*a**2 + 1\/5*a**5 - 2 + 0*a**3. What is the first derivative of t(m) wrt m?\nAnswer: 4*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(-3 + 6*sqrt(5)))**2.\nAnswer: -36*sqrt(5) + 189","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8191 is divided by 8?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -3\/16, -0.00174, -1, -1\/4, 0, -4\/7?\nAnswer: -3\/16","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 3.7 * -737678\nAnswer: -2729408.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 907591 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = 61*x**2 + 2*x + 13. Let i be y(-6). Let z = i - 18197. Round z to the nearest one hundred thousand.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 + -5 - (2 + -3).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (2 - -1)\/((-208)\/16 + 13535\/1040). Calculate the highest common factor of w and 1136.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + (36 - 41 - 4).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -4*c**2 + 4*c - 5. Let m(p) = -6*p**2 + 9*p - 11. Calculate -6*m(l) + 13*s(l).\nAnswer: -16*l**2 - 2*l + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -2*s**3 - 25*s**2 + 4*s + 2. Let p(m) = -4*m**3 - 48*m**2 + 8*m + 3. What is -4*p(a) + 7*v(a)?\nAnswer: 2*a**3 + 17*a**2 - 4*a + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve t - 7 = 3*a, a = 5*t - 6 - 15 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((f\/((f**(-2\/3)*f)\/f))\/f)\/f*f)**(-1\/8)\/((f*f*f\/f**(-4\/5))\/f)**(1\/5) assuming f is positive.\nAnswer: f**(-193\/300)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-3)\/(-1))\/(-190 - -193). Which is bigger: i or 2\/59025?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 3\/2*(-8028)\/(-54). Suppose n = 2*m - 129. What is the remainder when m is divided by 45?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r - 4 = -m, 4*m = 5*r - 2 - 3. Let n be (-3*m\/30)\/((-1)\/(-10)). Suppose n*i + 681 + 20 = 4*z, -4*i = -12. Is z a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 754?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1 - 0. Let g be u\/(8\/3 + -3). Suppose 0 = -g*d + 8*d - 10. Calculate the greatest common factor of 2 and d.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6\/5, 8496, 5, -7, -1\/4 in decreasing order.\nAnswer: 8496, 5, 6\/5, -1\/4, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*a + 4, 5*a + 53 = 3*u - 51. List the prime factors of u.\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = n**3 + 10*n**2 - 14*n - 44. Calculate b(-11).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 3105 a multiple of 69?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 143\/72 and 49\/8?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -4\/5, 8\/9, -4, -6, 11\/7?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -341*p + 881*p - 1620 = 0. Determine g, given that 60\/7 - 3\/7*g**4 + 51\/7*g**2 - 108\/7*g + 0*g**p = 0.\nAnswer: -5, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 55*u - 57*u. List the prime factors of (-1 - (-1250)\/u)\/(12\/(-18)).\nAnswer: 2, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -2, -15, 4, -4 in increasing order.\nAnswer: -15, -4, -2, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 742.9455 + -743. What is j rounded to 2 decimal places?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -13982, -56128, -126372, -224714?\n\"Answer: -14049*q**2 + q + 66","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + 13 - 89 = 0. Let h = u + 29. Sort h, -3, -4.\nAnswer: h, -4, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-4)\/8*0 - -43. Let z(r) = -6*r**3 + r**2 + 4*r - 1. Let c be z(-2). Let g(d) = 10*d + i - c. Let u(m) = -3*m. Determine u(g(v)).\nAnswer: -30*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 34285 is divided by 58.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 382, 1544, 3472, 6160, 9602?\nAnswer: 13792","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 825*s - 820*s - 835. Is s a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -8, 5, -2\/19, 1\/53, -3?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -30, 0.111, -0.12, 6, -3, -0.7?\nAnswer: -0.12","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 280 a factor of 5320?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -11 + 0?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n + 3*c + 25 = 0, -4*n + 3*c = 4*c - 20. Suppose 2*j + 9 = -n*k, j - 2 - 1 = 0. Suppose 3*w + 16 = -w. Which is greater: k or w?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.1917 rounded to 2 dps?\nAnswer: -1.19","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -4\/31 or -36192?\nAnswer: -4\/31","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -15*h + 9. Let w(v) = -7*v + 5. Let y(s) = 3*t(s) - 5*w(s). Let n(p) = -p + 1. Let g(i) = -2*n(i) + y(i). Let q(l) = -2*l**2. Calculate g(q(j)).\nAnswer: 16*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*a = -5*s - 10, 2*s + 4*a + 12 + 18 = 0 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Determine k so that -5*k**4 - 1475*k**3 - 23540*k**2 + 25020*k = 0.\nAnswer: -278, -18, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 10680530 and 5219?\nAnswer: 307","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9 - (-2 - (4 + -12)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -15*w**2 - 5*w + 13. Let f(m) = -7*m**2 - 3*m + 7. Let j(p) = -6*d(p) + 11*f(p). Is j(3) a multiple of 31?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -21828 + 240106\/11. What is the third biggest value in x, -7, 0.4, -52?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*h**2 + h**2 + 0*h**2 + 1)*(0*h**2 + 8*h**3 + 0*h**2).\nAnswer: -16*h**5 + 8*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 271, -25513, 0 in descending order.\nAnswer: 271, 0, -25513","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = 2*p - 10. Suppose 7*q - 70 = 2*q. Let n be (-1 + -1)*q\/(-4). Let v be y(n). Solve -5*z - 5 = 4*x - v, 7 = -x + z for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine k so that k**3\/7 - 717053*k**2\/7 + 18365238065*k - 789515843725 = 0.\nAnswer: 43, 358505","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in four thirds of a day?\nAnswer: 1920","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 3\/40 of a gram?\nAnswer: 75000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) be the first derivative of 2*n**5\/15 + 17*n**4 + 866*n**3 + 22032*n**2 + 279936*n + 7406. Suppose f(m) = 0. Calculate m.\nAnswer: -27, -24","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 149, 2655, 9889, 24215, 47997?\n\"Answer: 394*b**3 - 252*b + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 58187159 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 17127 is divided by 552?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -9660.558 minus -1.3?\nAnswer: -9659.258","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -2706*u - 30269. Calculate m(-11).\nAnswer: -503","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 117468\/5850 - (21 + -1).\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 997450 divided by -498725\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.1 (b) -27 (c) 30 (d) 0 (e) 2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(252) + -1 + -2 - sqrt(252)) + sqrt(252) - (sqrt(252) + (-2*sqrt(252) + 4 - sqrt(252))))**2.\nAnswer: -252*sqrt(7) + 2317","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1716357?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2 + -1. Let c(r) = r - 4*r - h - 11. What is the units digit of c(-9)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -l**3 + 2*l**2 + l. Let v be b(2). Let d(h) = -h**v + 3*h**2 - 1 + 1. Let u(w) = -w**2. Give d(u(p)).\nAnswer: 2*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -16169474, -32338983, -48508492, -64678001, -80847510?\n\"Answer: -16169509*q + 35","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 69483 and 3498.\nAnswer: 159","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 18\/235 and 57\/160.\nAnswer: 7520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 884*k**4 - 66*k**3 + k**2 - 614852*k wrt k.\nAnswer: 10608*k**2 - 396*k + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 3\/9 - ((-985)\/15 + -5). Suppose y*w - 7 = 78*w. Sort -3, 5, -2, w in ascending order.\nAnswer: -3, -2, w, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 16638867?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1\/3, 10, -0.21804?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 4842640 to the nearest 10000.\nAnswer: 4840000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) be the third derivative of c**5\/60 - c**4\/8 + c**3\/3 + 3*c**2. Let s be p(3). Suppose 0*i = -s*i + 26. List the prime factors of i.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = 47*g**3 - 6*g**2 + 6*g - 14. Is k(3) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0 + 4. Let n = 2 + -2. What is the nearest to n in h, -3, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-19*b - 56*b - 16*b)*(-b + b - 5*b) + b**2 - 3*b**2 + 3*b**2 as h*b**2 + m*b + x and give h.\nAnswer: 456","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0.1 (b) 8 (c) -2\/4159 (d) -2301\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -303 + 371 + (0 - (-4 - (-4 + -13))).\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 - 27 = -5*k. Let v = -2 + k. What is the remainder when v is divided by 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.8958753 to 3 decimal places.\nAnswer: -1.896","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (165\/(-22) + 11)*-2?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 886.4825 centuries?\nAnswer: 8864.825","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 15, 4, 0, -3 in ascending order.\nAnswer: -3, 0, 4, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 38, 3\/2, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -29\/30 and 394\/840 + 34\/85?\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -717 - -1c52?\nAnswer: 1538","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -186563, -186531, -186493, -186443, -186375, -186283, -186161, -186003?\nAnswer: -185803","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*g + 2*g = 0. Suppose u + 17 = -g. Let b = -3 - u. Does 14 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = 1022*p - 4930. Determine y(5).\nAnswer: 180","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (14 - (-12 - -31) - 6) + 17\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 463?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/565, -2\/3, 0.1, -1\/5 in ascending order.\nAnswer: -2\/3, -1\/5, 2\/565, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 1453, 1441, 1441, 1453, 1477, 1513?\n\"Answer: 6*a**2 - 30*a + 1477","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 4638537488?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = 7*h**2 - 622*h - 690. Determine c(90).\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((k + 2*k - 2*k)*(k + 9*k - 3*k) + 4*k**2 + 2*k**2 - 5*k**2 - 2*k**2 + 2*k**2 + k**2 + (-k - 2 + 2)*(-k - 3*k + 3*k))*(77 - 19*k - 77).\nAnswer: -190*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 2816 (base 10) to base 8\nAnswer: 5400","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in -0.01, -140, 1\/152?\nAnswer: 1\/152","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or -124\/875?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -15\/616 and -47\/31637.\nAnswer: 19488392","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -25 (b) -7 (c) 0.1 (d) -8\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 286368 to the nearest integer?\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 3864 to the power of 1\/3, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4797.333ug to kilograms.\nAnswer: 0.000004797333","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + (sqrt(605) - ((sqrt(605) - (sqrt(605) - (sqrt(605) + 0 - sqrt(605))))*-3)**2) - (3 + (sqrt(605)*2*-3)**2)) + -3.\nAnswer: -21787 + 11*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 11, n: 3, t: 2, o: 3}. What is prob of picking 3 d and 1 t?\nAnswer: 55\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -9545919, 0.5, 0.2, 1 in descending order.\nAnswer: 1, 0.5, 0.2, -9545919","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = m**3 - 24*m**2 - 1377*m - 18. Let j be q(51). Put j, 1, 4, -14 in descending order.\nAnswer: 4, 1, -14, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 381*d - 10 = 380*d. Suppose d*o - 82495 = 10395. Is o a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f = -0*f + 6. Let d(h) = -h + 4. Let k be d(f). What is the remainder when (-1 - -5)*4*k is divided by 9?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 34650885?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-147*h**3 + 12*h**2 - 10*h**3 - 12*h**2)*(-4*h**2 + 2*h**2 + 0*h**2).\nAnswer: 314*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -i - t, 5*t = -4*i - 11 + 10 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2426)\/(-16982)*1*2*1.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ru when two letters picked without replacement from {b: 4, r: 2, u: 2, d: 6, y: 1, t: 2}.\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.1, -19, -2\/3, 0.08, -5.\nAnswer: -19, -5, -2\/3, -0.1, 0.08","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -13*o + 31. Let w be j(-8). Let y = w - 78. What is the remainder when y is divided by 12?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*t**3 - 1534 - 2*t**3 + 1280 - 5631.\nAnswer: -5*t**3 - 5885","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:43 AM and 8:54 AM?\nAnswer: 251","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = 5*p + 162. Let i(h) = -26*h - 811. Give -2*i(c) - 11*r(c).\nAnswer: -3*c - 160","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15876 is divided by 253?\nAnswer: 190","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -2*l + 5*l + 0*l**2 + l**2 - 8 + 1. Let q be u(-6). Calculate the highest common divisor of 88 and q.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) be the second derivative of a**4\/24 - a**2 - 14*a. Factor v(q).\nAnswer: (q - 2)*(q + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*v + v + 0*v)*(-38*v - 19607*v + 2721*v - 13568*v) in the form m*v**2 + h + c*v and give m.\nAnswer: 60984","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 611 minutes after 4:34 PM?\nAnswer: 2:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-1))**42\/(w*w**(-2\/7)*w*w*w*w**(-2\/13)) assuming w is positive.\nAnswer: w**(-4146\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) be the first derivative of b**7\/840 + b**6\/360 + 19*b**4\/24 + b**3 - 1. Let c(n) be the third derivative of v(n). Is c(0) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 5161b58b + 5?\nAnswer: 5161b591","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = q**3 - 14*q**2 - 7*q + 28. What is x(13)?\nAnswer: -232","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (b - 4*b + b)*(-2*b + b - 5*b) - 4 + 0*b**2 - b**2 + 14.\nAnswer: 11*b**2 + 10","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3997675*j - 30873282 wrt j.\nAnswer: 3997675","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 0.6474694ug?\nAnswer: 647.4694","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 3, m: 4, x: 4, g: 8}. Give prob of sequence mxmm.\nAnswer: 1\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 60650 to the power of 1\/2, to the nearest integer?\nAnswer: 246","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in u**3 + 2899*u**2 - 2899*u**2.\nAnswer: u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 462\/154*(-5)\/(570\/(-4)).\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -180*f**3 - 7*f**2 - 10*f - 4. Is t(-7) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2374864?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1899 is divided by 189?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (9 - 1) + -12 + 9 + -2\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*sqrt(450) - (-3 + sqrt(32) + sqrt(2) + -1)**2 - (sqrt(154)\/((sqrt(7) - sqrt(448)) + sqrt(7)))\/(sqrt(891)*-4).\nAnswer: -66 + 15119*sqrt(2)\/216","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*b**4 + b**3 - 30*b**2 wrt b?\nAnswer: 48*b + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -2400000 rounded to the nearest 100000?\nAnswer: -2400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -4 + 32\/2 + 0. Let s(v) = 4*v**2 - r*v**2 + v**2 + 6*v**2. Let n(f) = 3*f**2. Determine s(n(z)).\nAnswer: -9*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = 8*y - 8. Let q be j(-6). Let u be (-8)\/q - 18\/28. Let h = 0.2 + 3.8. Is h < u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1253112?\nAnswer: 2, 3, 7, 7459","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a - 87 = -25. Solve -14*h = 11 + a for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 2, -5713, 1, -4, 0.\nAnswer: -5713, -4, 0, 1, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 17 - (14 - (17 - (14 + -2))).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 72 greater than or equal to -365131?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*k**4 + 3*k - 3*k)*(3 + 3 + 1)*(2 + 0 + 0)*(-7 + 6 + 15).\nAnswer: 392*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2949*s + 2939*s + 2949*s + s**2 - 11764*s + 2953*s.\nAnswer: s**2 + 26*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -j**3 + 38*j**2 - 285*j + 70. What is i(26)?\nAnswer: 772","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0841 to 2 decimal places.\nAnswer: 0.08","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -3*c**2 + 5*c. Let d(o) = o**2 - 2*o. Suppose -5*i = 4*b - 7*b - 9, -3*b = 3*i - 39. Determine b*d(p) + 3*s(p).\nAnswer: -2*p**2 + p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = d - 1. Let r be g(2). Let l be (-3)\/r*(-1 + 0). Let x(w) be the first derivative of -w**4\/4 + w**3 - 3*w**2\/2 - 3*w - 1019. What is x(l)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ks when two letters picked without replacement from zkksszzzskzzzzzkskkz.\nAnswer: 6\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 769426344 divided by 128237724.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*d - 117 = 1504*q - 1501*q, -11*q = 2*d + 14 for d.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 27440651?\nAnswer: 7, 1019, 3847","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000114 rounded to 5 decimal places?\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -102*q**2 - 3393*q - 106*q**2 - 3393*q + 309*q**2 - 105*q**2 + 6786*q.\nAnswer: -4*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 44282216 to the nearest integer?\nAnswer: 354","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 272.58425043+-0.3\nAnswer: 272.28425043","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 12\/19013 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**(-3\/7)*p*p\/p**(-7))\/((p\/(p**(-1)*p))\/p**(3\/2)))\/((p*p**(1\/3)*p*p**6)\/(p**(-4\/5)*p**(3\/2))) assuming p is positive.\nAnswer: p**(151\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Add together -8733 and 0.022.\nAnswer: -8732.978","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide 273327 by -91109.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 0 + (5 - (-310)\/(-70))\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 68\/442 + (-27662)\/(-13). Suppose b = 8*a - 2176. What is the tens digit of a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2*o**4 + 7654*o**3 - 2077*o**2 + 721762094?\nAnswer: 8*o**3 + 22962*o**2 - 4154*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = q**2 + q. Let w(r) = -4*r**2 - 9*r. Let n(f) = 5*o(f) + w(f). Let i be n(-1). Solve i*s = 2 + 23 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -5, -6, 3\/5, -0.19, -0.5?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = i**2 + 3*i - 6. Let s(j) = -16*j**2 - 402*j + 16. Calculate the remainder when s(-25) is divided by a(5).\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -134 + 140. List the prime factors of (-450 - c)\/(-3)*2.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 9937 times 937\nAnswer: 9310969","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (72*r**5 - 66*r**5 - 55*r**5)*(3 - 3 - 1) - r + 2*r**5 + r.\nAnswer: 51*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_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: Let n be ((-213)\/1775)\/(6*(-1)\/146). Which is smaller: n or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (0 + (-4)\/(-16))\/(((-435)\/(-2914140))\/29)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m**5 - 150*m**4 - 5105*m**3 + 5250*m**2 = 0. Calculate m.\nAnswer: -21, 0, 1, 50","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2.5 + -2.2. Let j(v) = 1 + 2*v + v - 4*v. Let x be j(5). Which is the closest to 1\/3? (a) x (b) 5 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 61 or -21.18?\nAnswer: -21.18","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 26704700 + 0.1?\nAnswer: 26704700.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = 2*d - 6. Suppose 5*s - u = 25, 6*u + 3 = 2*s + 7*u. Let j be l(s). Solve -5*a + 12 = 4*o, -2*o = -j*a + 16 - 4 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = 5*q + 3*q**2 - q + 5 + q**2 + 4*q**2. What is the units digit of y(-3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (44\/3)\/((-8)\/(-18)). Let q be 6*(-9)\/((-54)\/a). Solve -5*t = -4*i + q, 0*t + 5*i + 5 = -3*t for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 211 + -1897\/9. Let r = 5 - 5.4. Let f = -12776 - -12775. What is the second smallest value in -1\/8, b, r, f?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 62118640 to the nearest integer?\nAnswer: 7882","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19*q**2 + 213*q - 2*q**2 + 25*q**2 + 217*q - 430*q.\nAnswer: 42*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 1116.09 plus -102.25?\nAnswer: 1013.84","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 4046, 8175, 12426, 16859, 21534, 26511, 31850, 37611?\n\"Answer: 10*t**3 + t**2 + 4056*t - 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (3 - -2)*4\/(-5). Let b = 8 + g. Let o = -3 + b. Let w(m) = 8*m**3 + m**2 - m. Give w(o).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 91 - -21. Is z a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k\/((k*k\/k**(-1))\/k)*k)**7*((k*k*k**(-3\/8))\/k)\/(k**(-5)\/k*k) assuming k is positive.\nAnswer: k**(45\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + -2 - (121 + -147 + 0 + 8)?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2.7 in 0.2, 27, 3\/8?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 112\/70*(-8 - -3). Let k be -5 - (2 + -1) - d. Solve 4 = -4*h, h + h = k*t + 8 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -4 (b) -2\/7 (c) 87\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 7561.558 centuries?\nAnswer: 756.1558","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -t**3 + 1395*t**2 + 1466500*t.\nAnswer: -t*(t - 2095)*(t + 700)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 41 divide ((-18)\/(-30))\/(-3) - (-20784)\/(-30)*-39?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -241 = -3*i - 6*h + h, -375 = -5*i - 3*h. Is 9 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -4886, -4886, -4884, -4880?\n\"Answer: v**2 - 3*v - 4884","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange m**2 - 6*m + m + m + 2*m to the form j*m**2 + q*m + o and give j.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -64.512746 rounded to one dp?\nAnswer: -64.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*i + 30 = -5*p, 0 = 3*i - p + 105 - 122 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-30)\/(-12) - (-2)\/(-4). Solve -2 = -l*f - 12 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 620 minutes after 4:23 AM?\nAnswer: 2:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 29 a factor of 129845963?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is -3321 at least -102990\/31?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 - 12 - (-7 - -2) - (11 + -23 + 17)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 6.6 + -2.65. Let y = b - -0.05. What is the third biggest value in -3, y, 2?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -458, 137, 2842, 8707, 18782, 34117, 55762?\nAnswer: 84767","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 times -526?\nAnswer: 2630","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) be the third derivative of j**8\/672 + 3*j**7\/280 + 7*j**6\/240 + 3*j**5\/80 + j**4\/48 + 97*j**2. Let k(w) = 0. What is w?\nAnswer: -2, -1, -1\/2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 383 at least 383?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 175357569?\nAnswer: 3, 43, 1359361","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 7699?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1061 - 1006.3. Let x = s + -55.7. Sort -2\/5, 2, x, -1\/5 in descending order.\nAnswer: 2, -1\/5, -2\/5, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2\/3897 (b) -1 (c) -4\/5 (d) -393 (e) 0.5 (f) -0.4\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 4349, 8762, 13175?\n\"Answer: 4413*h - 64","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h*(h**(1\/4)\/h)\/h*h*h)\/h*(h\/h**(-4\/5))\/h*h)**(8\/3)*(h\/((h\/h**4)\/h))\/h*(h*h**(-9))\/h*((h\/h**2)\/h)\/h**8 assuming h is positive.\nAnswer: h**(-143\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 37213 is divided by 32?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*b - 4*n = 2, 0 = 2*b - n + 2*n + 8 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 834318, 1668637, 2502956, 3337275, 4171594?\n\"Answer: 834319*d - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*h = 29*h - 16*h - 120. Let n(q) = 4*q + 49. Give n(h).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve y - 430*u + 427*u + 7 = 0, 10*y + 47*u = 84 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3752 - 3750.92. Which is greater: 2 or l?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.1 - 0.1. Suppose 5*m - 6 = 4. Let i be m\/8*6\/9. What is the nearest to 1 in i, s, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -176 - -633. What is the hundreds digit of c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 43\/102524 and -17\/5396?\nAnswer: 102524","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 4193 - 25219\/6. Calculate the common denominator of u and -14.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) be the first derivative of -w**6\/6 - w**5\/5 + 11*w**4\/4 + 29*w**3\/3 + 13*w**2 + 8*w + 1724. Suppose n(o) = 0. What is o?\nAnswer: -2, -1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -21 - (11 + 15 - 40)\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o - 15 = -3*r, -3*o + 27 = -3*r - 12. Let v be (36 - (1 + 0)) + -1. Suppose -5*x = -v + o. Solve 0*u - x = -u for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -x**2 + 26*x - 35. Let n be i(24). Calculate the highest common factor of 715 and n.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 111\/336980 and -53\/74371486.\nAnswer: 743714860","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 4 - -10240?\nAnswer: 10244","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*y + 4*y = 32 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (6\/12)\/((-75811)\/3226)\nAnswer: -1\/47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 342 (base 15) to base 5.\nAnswer: 10422","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f - 4592 = 2*x, 1848 = 2*f - 44*x + 46*x. What is the hundreds digit of f?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h + 7*h = -9. Find the common denominator of (91\/12)\/((-2)\/h) and -8\/9.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -206 = -t + 33. Is t prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (6 - (-128)\/(-22)) + (-15184)\/65846\nAnswer: -2\/41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -19 - -23. Let i be (-7 - -7) + -10*m. Let f be (-3)\/2*i\/(-48). Which is the third smallest value? (a) 0.4 (b) f (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.24900113 + 0.249. Round j to 7 decimal places.\nAnswer: -0.0000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/5, 2\/11, -1\/14 in descending order.\nAnswer: 2\/11, -1\/14, -2\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4461*n + 53849 = -12468*n - 200086 for n.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-660 - 42*t**2 + 660)*(t + 2*t - 4*t)*(0 - 4 + 2) to w*t + q*t**3 + b + h*t**2 and give q.\nAnswer: -84","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 16 + -18.1. Let p = k - -2.101. What is p rounded to two decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -f**3 + 6*f**2 - 6*f + 7. Determine k(5).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 4 divided by -5873285\nAnswer: -4\/5873285","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) be the second derivative of 0*z**2 + 7\/3*z**3 - 57*z + 0. Let m(u) be the third derivative of -u**5\/60 - 2*u**2. Calculate m(g(t)).\nAnswer: -196*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 10057476 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 10564511471\/3456 + -3056861. Calculate the common denominator of y and -43\/1296.\nAnswer: 10368","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 5660 + -3256?\nAnswer: 2402","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.02 or 2173.34?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3751 + 3751 = -14*r. Find b such that 0 - 5\/3*b**4 + 5*b**3 + r*b + 20\/3*b**2 = 0.\nAnswer: -1, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -h**3 - h**2 + 3. Let m be n(-3). Let q be 0 + 5\/1*(-189)\/(-5). Calculate the greatest common divisor of q and m.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-7)\/(-3) - (5 + -4). Suppose -79 = -j + 4*g - 91, -g + 3 = 0. Solve 0*c + j - 2*c**3 + 2\/3*c**4 + x*c**2 = 0 for c.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 1549*y - 1493*y + 336 for y.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-6*c**2 + 4*c**2 + 0*c**2)*(-c - 2*c + 2*c)*(302 - 118 - 132) to z*c**3 + i*c + l + w*c**2 and give i.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -8.8 + -109.2. Let y = 119.6 + a. What is y rounded to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2\/(-3) - (-5)\/3*1. Let a(m) = 12*m**2 - m. Let q be a(h). Suppose -q*c = -0*c - 671. What is the units digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k - 102 = -3*m, -3*m - 2*k + 60 = -m. What is the lowest common multiple of 16 and m?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -2, -0.8, -0.032, 1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 251 minutes before 11:02 PM?\nAnswer: 6:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 1, z: 5, y: 1, v: 1, g: 3, m: 2}. What is prob of picking 1 k and 1 y?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) be the second derivative of -4*w**5\/5 - 7*w**4\/3 - 4*w**3\/3 + 2*w**2 - 25*w. Factor a(z).\nAnswer: -4*(z + 1)**2*(4*z - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 39, 0, -3 in descending order.\nAnswer: 39, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p - 400 = -30. Let z = p - -78. Suppose -3*s - 4*h + 11277 = 1606, z = -h. Is s a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 29 and 25752?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 7690, 30764, 69224, 123070, 192302, 276920, 376924?\n\"Answer: 7693*u**2 - 5*u + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1992286970?\nAnswer: 2, 5, 2081, 95737","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -38, -69, -96, -119, -138, -153?\n\"Answer: 2*q**2 - 37*q - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -12.071? (a) -42 (b) 4\/3 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -151 = -c - 5*s, 2*c - 4*s + s - 289 = 0. What is the remainder when c is divided by 21?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-12)\/5)\/((-9)\/(-45)). Let w = 32 + t. Is 4 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 + (-2 - 7) + 7 - (4 - 35).\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = 11*a**3 + a - 2. Let p be x(2). Let t be 10\/15 - p\/6. Let j = -6 - t. Solve -j = -3*v - 2 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*q - 1047 + 1048 - 12*q)*(1 + 3 - 2 + (3 - 3 + 2)*(2 - 1 + 1) + 3 + 0 - 2).\nAnswer: -70*q + 7","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 404866031 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = r**3 + 7*r**2 - 7*r + 9. Let a be j(-8). Suppose 0 = -4*g + a + 7. Suppose -s + 22 = -4*p, -3*s + 20 = g*s - 2*p. What are the prime factors of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 23e60 + -913?\nAnswer: 2354c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 130 - 16. List the prime factors of x.\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = 39*b**3 - 5*b**2 + 9*b - 13. Let n(a) = 10*a**3 - a**2 + 2*a - 3. Let q(g) = 9*n(g) - 2*p(g). Calculate the smallest common multiple of q(1) and 48.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 94847, 189735, 284623, 379511, 474399?\nAnswer: 569287","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -r**2 - r - 1. Let i(l) = 12*l**2 + 4*l + 4. Let d(h) = -2*i(h) - 14*w(h). What is the derivative of d(j) wrt j?\nAnswer: -20*j + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 555 and 3774.\nAnswer: 18870","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = 7*g**2 + 2*g + 1. Let x(a) = 7*a**2 + 3*a + 2. Determine 3*i(d) - 2*x(d).\nAnswer: 7*d**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 23816.68cm?\nAnswer: 238166800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -6, 3, -9, 189, -3 in descending order.\nAnswer: 189, 3, -3, -6, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 - (-7 - (4 - 11 - -4))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) be the second derivative of p**5\/4 - p**4\/6 + 5*p. Find the third derivative of d(t) wrt t.\nAnswer: 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 274658.\nAnswer: 2, 191, 719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(234)*-5)\/(sqrt(128) + sqrt(128)*-2 - sqrt(128) - sqrt(128)).\nAnswer: 5*sqrt(13)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-20582 + 20582 - 611*r**2)*(-1 + 8 + 3) to y*r**2 + i + c*r and give i.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*i**3 - 15*i**2 + 90*i = 0. What is i?\nAnswer: -6, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor -y**2 - 121872*y - 3713196096.\nAnswer: -(y + 60936)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1\/(-1)*164\/164. Which is the closest to 2? (a) y (b) -0.033 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gt when two letters picked without replacement from {u: 4, t: 1, c: 1, p: 1, a: 1, g: 4}?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d**4 + 3*d**3 + 16*d + 6*d**3 - 13*d + 13*d**2 - 4*d**2 = 0. What is d?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 6397 - 28c7?\nAnswer: 38b0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.097 and 0.5?\nAnswer: -0.0485","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = i**3 + 5*i**2 + 6*i + 5. Let r be b(-4). Let y(p) = 4*p**3 - 2*p**2 + 4. Let o(u) = 2*u**3 - u**2 + 2. Calculate r*y(w) + 5*o(w).\nAnswer: -2*w**3 + w**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1113829 is divided by 185607.\nAnswer: 187","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3 - 3. Let j = 1.6 - -0.4. Let i = -1 - j. What is the nearest to -1 in i, -5, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 4, d: 2, m: 2, z: 2}. What is prob of sequence hzdd?\nAnswer: 1\/315","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -9*d + d - 104. Let s = d - -18. Suppose 41 = m + 2*g - g, -m + 59 = -s*g. Calculate the highest common factor of m and 22.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1979 >= 1952?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 359 is divided by 100.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*d + d + 0*d)*(-12 - 43 - 37).\nAnswer: -276*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -6*u + 26. Let n = -9 - -17. Let f be b(n). Let j = f - -36. Are j and 14 unequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 20284?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 220 + -220. Suppose -153*l + 148*l = q. Sort l, 5, 3 in descending order.\nAnswer: 5, 3, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -55050*o*p - 3762561*o + 11*p**4 wrt p?\nAnswer: -55050*o + 44*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(2*sqrt(70) + sqrt(70)))\/sqrt(10).\nAnswer: -18*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p = -5*p + i + 607, -4*i = -4. Let b = 183 - 180. Suppose 0 = -b*k - k + p. Is 19 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(1029)*-6)\/(-5*2*sqrt(75) + sqrt(75)).\nAnswer: 14*sqrt(7)\/15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*m**3 + 79907*m**2 - 79907*m**2.\nAnswer: -5*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 8 + -80 + (53 - -51)\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i = -2, s - 7 - 3 = -5*i. Let h be (-6)\/8 + (-6)\/(-8). Suppose 2*v - 5*z - 23 = h, 4*z + 15 = -v + 6*v. Do v and s have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = f**2 - 2*f - 10. Determine k(7).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n, 1 i, and 1 p when three letters picked without replacement from ififiiifinfiipiif.\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 6366 - 6103?\nAnswer: 263","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n = -4*f + 8 + 6, 2*f - 3*n - 14 = 0. Let x be (-3)\/(-2)*(f + -2). Solve x*h + 10 = 1 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2.116 - -2.816. Which is the nearest to -6? (a) j (b) 5\/4 (c) 0.05\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1141350749?\nAnswer: 7, 11, 3187, 4651","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-5460)\/35)\/39*(-4)\/16?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x**2\/17 - 14022930*x\/17 + 98160608\/17 = 0. Calculate x.\nAnswer: -7011472, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -79 + 64. Let n be (l\/(-10) - 0)*-313. Let d = n + 507. What is the common denominator of 79\/16 and d?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c = -2*i + 6*i - 61, 0 = -2*i + 3*c + 33. What is the remainder when 0 + (-35)\/(-3 + 2) is divided by i?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(209)\/(sqrt(22)\/sqrt(2)) - (sqrt(2299)*3 - sqrt(19)))**2 - (-5*1*sqrt(133))\/(sqrt(7) - (sqrt(7) - sqrt(70)\/(sqrt(10)*-1))).\nAnswer: -5*sqrt(19) + 18259","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.7? (a) -0.7 (b) 3\/4 (c) -1\/2 (d) 2\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (-7 - (4 + -6))\/(2 + -3)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v*v**(4\/3))\/(v\/(v*v*(v\/(v\/v**(4\/5))*v)\/v))*(v*v**0)**4)**(2\/9) assuming v is positive.\nAnswer: v**(244\/135)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4\/9? (a) 1\/32 (b) 0.5 (c) 2 (d) 2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 876360439 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 185 minutes before 1:17 PM?\nAnswer: 10:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = l**2 - 10*l - 7. Let t be (-4)\/6*(2 - 14). Let r be 58\/(-8) - 2\/(t*-1). What are the prime factors of y(r)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 11.6065 - 167.\nAnswer: -155.3935","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 12 - 0. Suppose 15 = -3*b, -b - 8 = -3*h + m. Let s = 45 + -28. Calculate the remainder when s is divided by h.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p = -0*p + 8. Let h(i) = -37 + 7 + 13 + 12*i + 13. Does 22 divide h(p)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 48841, 0, -33 in increasing order.\nAnswer: -33, 0, 48841","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -185, -350, -491, -596, -653, -650, -575?\nAnswer: -416","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13130 = 3*h - 2*t + 55296, 0 = -t + 5. Let f = h + 9052. Round f to the nearest one thousand.\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.07? (a) -4 (b) 2\/5 (c) 0.4285676\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4 - l + 4 + (0 - 2 + 1)*(9*l - 2*l + 5*l).\nAnswer: -13*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -k**3 + 36*k**2 - 2*k - 20. Is v(17) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: d (base 16) to base 10\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -105*f + 43*f**2 + 3*f**4 + 2 + 0 + f**3 - 2*f**3 + 25*f**2 + 104*f to v + r*f**3 + t*f + d*f**4 + a*f**2 and give t.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 407605?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is m in m**4\/2 + 378*m**3 + 2235*m**2\/2 - 9022*m + 10542 = 0?\nAnswer: -753, -7, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-2)\/5 - 1167\/(-330) and (5\/(-60))\/(1\/290)?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11663362 to the power of 1\/2, to the nearest integer?\nAnswer: 3415","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 7704283031 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 37229 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = 52*x**3 + 6*x**2 + 6. Let t(c) = 155*c**3 + 17*c**2 + 17. Determine -6*t(a) + 17*v(a).\nAnswer: -46*a**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 37 + -25. Solve f*l**2 + 20*l + 6*l**2 - 13*l**2 = 0 for l.\nAnswer: -4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12 = 3*s + 11*c - 15*c, -c + 3 = s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 309\/51 + -4 + (-2)\/34 - 2. Solve 383*h - 400*h = d for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1 - 0.7. Let n = 0.3 - z. Let f = n - 4. Sort f, -0.3, 0 in decreasing order.\nAnswer: 0, -0.3, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 5\/2, -3\/7 in descending order.\nAnswer: 5\/2, -3\/7, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = 4*d**2 + 4*d + 1. List the prime factors of j(-3).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (4\/(-6))\/(2\/(-6)). Suppose 2*a = -h*a + 28. Solve -5*c - 3*s = -11, -5*s + a = -3*c - 0 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5522 is divided by 888.\nAnswer: 194","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8 - 11194397494629.\nAnswer: -11194397494621","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 53\/5 of a kilogram?\nAnswer: 10600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.09667*491.\nAnswer: 47.46497","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (770\/2200)\/((3 - -2)\/20)\nAnswer: 7\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d = -1838 - 1714 + 3392. Solve -d*s - 37 + 517 = 0 for s.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8, -36, -6, 2 in ascending order.\nAnswer: -36, -8, -6, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h + 12 = 4*o, -11 + 2 = -3*o - 2*h. Find the third derivative of 2*s**o - 4*s**2 + 3*s**3 - 4*s**3 wrt s.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1683 = -3*l - 567. Suppose 344 = -7*g + l. Solve -g*a + 6*a = -4 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -116, 0, -0.2, -0.4, -0.5 in ascending order.\nAnswer: -116, -0.5, -0.4, -0.2, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 80 and 1664.\nAnswer: 8320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(225)*3)\/sqrt(3) + 1 + 1 + sqrt(75))**2.\nAnswer: 80*sqrt(3) + 1204","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -14*q*u - 221*q + 94*u - 11 with respect to u.\nAnswer: -14*q + 94","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -f**3 + f - 1. Let g(q) = -3*q**3 - 2*q**2 - 6. Let p(s) = g(s) - 2*x(s). Let y be p(-3). Calculate the highest common divisor of y and 77.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 454 - -1?\nAnswer: 455","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) be the second derivative of -w**4\/2 - w**3\/3 + 3*w**2 + 2*w + 128. What is k(3)?\nAnswer: -54","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 17*k**3 + 11*k**3 - 6*k - 35*k**3 + 13 + 9*k**3 to the form t + p*k**3 + g*k + u*k**2 and give t.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -11 in -3\/4, 1, -2.89, -0.4?\nAnswer: -2.89","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 342 = -3*m + 3*w, -3*m - 4*w + 118 = 467. List the prime factors of -441*(8\/(-30))\/((-46)\/m).\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14595 = 699*l - 179*l - 555 for l.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22554 = 239*p - 60*p. What is the smallest common multiple of p and 294?\nAnswer: 882","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor u**2\/10 + 301*u\/10.\nAnswer: u*(u + 301)\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Determine q so that -2*q**5 + 41854*q**4 - 218823126*q**3 - 1533310830*q**2 - 2629394136*q = 0.\nAnswer: -4, -3, 0, 10467","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 8852 (b) 0 (c) 10 (d) 11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -t**2 - 3 + 5 - 2 - 5*t. Let b be v(-5). Suppose b = -i - 0 + 2. Solve 4 = 2*n + 2*w, -2*n + 6*n + i = w for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 7249490*s - 7249490*s - 522*s**3 - 2884*s**2 wrt s?\nAnswer: -3132","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100010111111001100 - -11?\nAnswer: 100010111111001111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wawwawawwaaa. Give prob of picking 2 a.\nAnswer: 5\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1271 - 1292) + -6 + (6 - (11 - 5)).\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:05 AM and 6:43 AM?\nAnswer: 158","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (9\/1)\/((-2)\/(-286)). Let r = -11569\/9 + l. Calculate the common denominator of 13\/8 and r.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 2.81 and 0.01?\nAnswer: 2.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(20\/11)*v**(26\/3))**(-23) assuming v is positive.\nAnswer: v**(-7958\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 6c - d73?\nAnswer: -d07","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 28480.\nAnswer: 2, 5, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2 + 1 - (0 - -1). Let p be y\/(1 + 2*5). Let n be 0*(1\/(-2) - ((2 - 5) + 2)). Which is greater: n or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 32*z - 37*z**4 - 32*z + (2 + 2*z - 2)*(7*z**3 - 3*z**3 + 3*z**3).\nAnswer: -23*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((7600\/114)\/(-50))\/(30\/(-27)).\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 16 - 28. Suppose -40 = 23*o - 18*o. Let a = o - f. What are the prime factors of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -412, -825, -1236, -1645?\n\"Answer: x**2 - 416*x + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 507893?\nAnswer: 103, 4931","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -36, -74, -110, -144, -176, -206, -234?\n\"Answer: s**2 - 41*s + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -3*((-1316)\/21 + -1) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 117*v**3*y**3 - 27075*v**3*y + 2*v**2*y**2 - 548*v*y**3 + 72*v*y**2 - 2*y**3 wrt v?\nAnswer: 702*y**3 - 162450*y","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: Put 37, -12, -4, 0 in descending order.\nAnswer: 37, 0, -4, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*p - 210 = -5*p, -p + 131 + 180 = -70*j + 15*j + 15 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 3391086164 to the power of 1\/8, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -2*h**2 + 3*h + 4. Let y be (-1 - 5\/(-4)) + (-17)\/4. Let w be x(y). Is -41 <= w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 32.11913 weeks in minutes?\nAnswer: 323760.8304","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*k - 3*b - 27 = 26, 13*b - 5*b + 21 = -67 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*c - 38 = 4*c. Let s = 1219 - 1208. What is the remainder when c is divided by s?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -3*c + 9. Let f be u(9). Sort -3, f, -4.\nAnswer: f, -4, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4028*o**3 + 7599*o**2 + 7585*o**2 - 15184*o**2.\nAnswer: 4028*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/3 in 1\/4, -12203, -2\/89, 0.1?\nAnswer: -2\/89","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 19614478 a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7601155?\nAnswer: 5, 23, 157, 421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in i - 4*i + i - 4*i.\nAnswer: -6*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = g**2 - 5*g + 6. Suppose 0 = 4*b - 0*b - 16. Let a be k(b). Suppose a*d = -3*x - 2, -x + 3*x = 5*d - 14. What is the units digit of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 1331, 5189, 11597, 20537, 31991, 45941?\n\"Answer: -3*y**3 + 1293*y**2 + 41","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = 2*h**2 + h**3 + 8*h + 6*h**2 + 9 - 2*h**2. Suppose 4*r = 4*r - 2*r - 12. Give u(r).\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6867*q**2 + 51*q**3 + 2294*q**2 + 2289*q**2 + 2284*q**2.\nAnswer: 51*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c and 1 n when two letters picked without replacement from {n: 2, z: 1, c: 2, f: 1, p: 1}.\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 63779270 plus 0.05948745?\nAnswer: 63779270.05948745","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + -3040518.\nAnswer: -3040516","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -7 + 17. Let z = x - 9. Let w(f) = -2*f - f**2 + z + 0 + 4. Give w(-5).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -5*m - 19. Let i(b) = -b**3 - 3*b**2 - 2*b - 5. Let w be i(m). Let a = w + -35. Solve 4*n - t - 2*t - 3 = 0, -5*n = t + a for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 35930866?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4 (base 5) to base 12.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 226 - 224. Let u be 22512\/480 - d*(-1)\/20. Suppose 94 = -3*b + 5*b. Is u bigger than b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1758*f**3 - 96*f**2 - 97*f**2 + 288*f**2 - 95*f**2.\nAnswer: -1758*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 23*y**3 + 23*y**3 + 16*y**3 - 61*y**3.\nAnswer: y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -124*r + 520. What is the remainder when z(2) is divided by 166?\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.03378 - -3.03378. What is the biggest value in 4\/3, -8, 0.3, -1\/7, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:54 AM and 9:10 AM?\nAnswer: 376","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = 4*h**3 - h**2 - 3*h - 4. Let k(x) = -12*x**3 + 2*x**2 + 8*x + 11. Let i(f) = 3*k(f) + 8*r(f). What is the remainder when i(-2) is divided by 9?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -36 - 19 + 55 - 2*k. Let j(l) be the first derivative of -10*l**3\/3 - 2. Determine j(z(a)).\nAnswer: -40*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 132012 - -130013?\nAnswer: 322031","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -534168344, -534168345, -534168346, -534168347?\n\"Answer: -g - 534168343","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -6 + -35 + (6 - (-15 + 8 - -6)) + -6\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zc when two letters picked without replacement from {c: 1, z: 6, l: 4}?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 times 205785456?\nAnswer: -823141824","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = 7*f**2. Let z be n(-1). Suppose y - 1 = z. Sort y, 5, -2.\nAnswer: -2, 5, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2267 - -2476.1. Let p = s + 23.9. Let a = p - 232.99787. Round a to 4 decimal places.\nAnswer: 0.0021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -422*g**3*v**3*z**2 + 331083*g**3*v**2*z**2 + 113*v**3*z**2 wrt v?\nAnswer: -2532*g**3*z**2 + 678*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 1, m: 1, s: 6, g: 3, v: 3, n: 1}. What is prob of picking 1 n and 3 s?\nAnswer: 4\/273","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -y**3 - 13*y**2 + 16*y - 62. Calculate z(-12).\nAnswer: -398","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -u**3 + 8*u**2 - 4*u + 1. Let z(y) = -y**3 + 7*y**2 - 4*y - 12. What is the smallest common multiple of d(7) and z(5)?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 40231 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y = 5*d + 24, 24 = 2*y + d - 2*d. Let c = y - 7. Suppose -113 = -c*w - 3*s, -s = 5*w - 3*w - 46. Is w prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -5*w + 144. Let c be j(30). Let a(m) = -3*m**3 + 3*m**2 - 8*m - 6. Let v(b) = 3*b**3 - 2*b**2 + 7*b + 5. Calculate c*v(o) - 5*a(o).\nAnswer: -3*o**3 - 3*o**2 - 2*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1 by 252284.\nAnswer: -1\/252284","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 697 is divided by 6 + (-484)\/77 - (0 - (-443)\/(-7))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 660.65 at most as big as 1.6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 27\/2 of a year in months?\nAnswer: 162","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 + 3*i + 0)*(-6*i**2 + 262 - 262) + 5*i**3 + 2*i**3 - 3*i**3 to the form r + s*i + x*i**2 + f*i**3 and give f.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 86246037.\nAnswer: 3, 547, 17519","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -25 + m - 1999*m**3 + 4002*m**3 - 1999*m**3 + 25.\nAnswer: 4*m**3 + m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1935 + 14 = -1194*x - 439 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 7\/6 of a century?\nAnswer: 1400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = 188*r + 1264. Let c be b(-7). Round c to the nearest 100.\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*s**4 - 2 - 14*s**3 + 344*s**2 - 24*s + 22*s - 343*s**2 in the form g*s**3 + v*s**2 + h + n*s**4 + o*s and give n.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 332 divide 431571487?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n + 188 = 184. Let l(a) = 3*a**2 + 10*a + 3. What is l(n)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -2\/127, -1, 1, -2, -2\/11 in ascending order.\nAnswer: -4, -2, -1, -2\/11, -2\/127, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0015355 rounded to 3 dps?\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*i = -20*i - 1332. Let u = i + 355. Calculate the lowest common multiple of 434 and u.\nAnswer: 4774","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-20)\/15*(-12)\/(-32).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 67 minutes before 3:05 AM?\nAnswer: 1:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -8592? (a) -2\/13 (b) 2 (c) 3 (d) -1\/17\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -51 + 55. Factor 6*t**2 - 2*t**5 - 12*t**2 - 12 + 26*t - 24*t**3 + 16*t**c + 2*t**2.\nAnswer: -2*(t - 6)*(t - 1)**3*(t + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -16 - 6*r**2 + 142*r - 4 - 143*r - 74 to the form t*r + s*r**2 + x and give t.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = j**2 + 9*j - 6. Let q be f(-6). Let i = q + 29. Suppose -i*v = 2*n + 20, 2*n - 9 - 7 = 4*v. Which is the closest to 1? (a) -2 (b) -5 (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1255317 + 1255319. Solve 3\/5*n + 2\/5 + 0*n**p - 1\/5*n**3 = 0 for n.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -b + 4. Calculate the lowest common multiple of y(-10) and 18.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 337 + -238. Let t be 4\/(-5) - (-3096)\/20. Let u = t - x. Calculate the highest common factor of u and 22.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-1\/3)*f\/f**6)\/((f\/(f**(-1\/8)*f))\/f**(6\/7)) assuming f is positive.\nAnswer: f**(-773\/168)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in j**2 - 36597422 + 73194838 - j**2 + j**3 - 9*j - 36597416.\nAnswer: j**3 - 9*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 5 + 5. Let g be ((-16)\/s)\/((-4)\/10). Suppose -4*i - 45*j + 40*j + 1 = 0, 2*i + 4*j + 4 = 0. Solve -b = -i*z + 20, -g*z - 4*b = -z - 15 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = m**3 - 46*m**2 - 50*m + 59. Determine v(47).\nAnswer: -82","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-480)\/(-832))\/(-15)*(4*-2)\/2.\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17 = 2*j - 11. Let x(p) = -7*p - 39. Let g be x(-5). Let s(a) = -14*a - 28. Let n be s(g). What is the highest common divisor of n and j?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 89 and 15052214.\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 44 minutes before 4:45 PM?\nAnswer: 4:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2832 and 1126125.\nAnswer: 1063062000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13726 - 13701 - (14 - (-1 - -1)).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 20*w**4 + 7 - 22*w**4 - 15 + (-3 - 3 + 4)*(2*w**4 + 2*w**4 - w**4) + 138*w**2 - 5*w**4 - 138*w**2.\nAnswer: -13*w**4 - 8","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*i**2 - i**2 + 3*i**2)*(3*i - 4*i - i)*(3 + 3 - 4)*(2*i - 2*i + 2*i).\nAnswer: 8*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 51347979 to the power of 1\/3, to the nearest integer?\nAnswer: 372","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is -2212508 < 0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 4*i**2*r*w + 4*i**2*r + 472*i**2 + 2*i*r*w - 2*r + 2358*w + 1 with respect to w.\nAnswer: 4*i**2*r + 2*i*r + 2358","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 2, 1, -15.1, -2\/15, -3\/4?\nAnswer: -15.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 216052292 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:14 AM and 1:14 PM?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i + 198 = 7*s - 3*s, 0 = -i - 3*s + 100. List the prime factors of i.\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 121 and 1.\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 27705 and 76215?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1\/6, -0.4, 2\/7, -0.2?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 32\/(-56) + (0 - 5\/(-70))\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (46 + (-27550)\/600)\/(8\/3)\nAnswer: 1\/32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -6701 * 69\nAnswer: -462369","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = k + 3 + 3 - 3 - 5. Let m be v(2). Let d(r) = -5*r - 374. Let x be d(-76). Sort m, -2, -3, x in decreasing order.\nAnswer: x, m, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-8)\/(-12)*-1*4\/(-16)?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c - 603 - 721 = -4*x, 316 = x + 3*c. Suppose 0 = 5*f - f + x. Let r = -58 - f. Is r a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 106.5154 centuries?\nAnswer: 1065.154","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of ((-12)\/8 + 3)*(129672\/6 - -14)?\nAnswer: 3, 11, 983","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q\/((q*q**(-9\/4))\/q)*q*q**(1\/21) assuming q is positive.\nAnswer: q**(361\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 1\/5 (b) -2\/3 (c) -173 (d) 5 (e) -0.2 (f) 0.4 (g) 0.0042\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-2\/21)\/(f\/((f*f**9\/f)\/f)))\/(f**(-2\/3)*f)**(-15\/7) assuming f is positive.\nAnswer: f**(160\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-6858)\/(-15) - (-3)\/(-15). Suppose 2*x + 4*n = -n + g, 695 = 3*x - 2*n. List the prime factors of x.\nAnswer: 3, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -21216421 or 2\/5?\nAnswer: -21216421","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let -54*g**5 + 462*g**4 + 8416*g**3\/3 - 23016*g**2 - 10624*g - 3584\/3 = 0. What is g?\nAnswer: -7, -2\/9, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) be the third derivative of 0*x**4 - 1\/20*x**5 - 2*x**2 - 2\/105*x**7 + 0*x + 0 + 0*x**6 + 0*x**3. Find the third derivative of m(k) wrt k.\nAnswer: -96*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve i - 1 = 0, 0 = 3536*k - 3540*k + 3*i - 23 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 351351 and 2275?\nAnswer: 8783775","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -8\/19, 2, 0.2, 1\/4, 4?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Add together -2 and 8.674454.\nAnswer: 6.674454","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0228324 rounded to 4 decimal places?\nAnswer: -0.0228","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 324 minutes before 11:06 AM?\nAnswer: 5:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*t - 12*t + 8*t)*(0 + 3 - 4)*(4 - 46 - 1).\nAnswer: -43*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 12*s - 72886 + 7882. List the prime factors of s.\nAnswer: 5417","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -91*z**5 - 142*z**4 + 76*z**3 - 8*z**2 = 0. Calculate z.\nAnswer: -2, 0, 2\/13, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = 3*n**2 - 231*n - 231. Let t be s(-1). Let -t*o**3 + 4\/3*o**2 - 1\/3*o**5 + 0*o + 0 + 2*o**4 = 0. What is o?\nAnswer: 0, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -356 times -215?\nAnswer: 76540","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w = -l + 3836, w + 73 = -l + 1991. Does 12 divide w\/35 - 2\/(-10)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -10, -24, -54, -106, -186, -300?\nAnswer: -454","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 971041 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**15*p**(1\/11))**(-29) assuming p is positive.\nAnswer: p**(-4814\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (21 + -15)*13\/(-2). What is the hundreds digit of 822 + (-2)\/(b\/(-15) + -3)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.2 - 0.1. Let t = -43\/168 - -13\/24. What is the nearest to -0.1 in h, -2, t?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.68 - -0.58. What is the third smallest value in -37, -2\/11, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.3532 + -0.0468. Sort -8\/5, z, -0.2, 0.5 in increasing order.\nAnswer: -8\/5, z, -0.2, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -5143 and -0.3593?\nAnswer: 1847.8799","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9.611872 nanometers to millimeters.\nAnswer: 0.000009611872","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*c + 1 + 3. Is c >= -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7538*p + 193720 = 858*p for p.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -104033 (base 9) in base 3?\nAnswer: -10011001010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Add -2.2 and 101.11164.\nAnswer: 98.91164","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qq when two letters picked without replacement from rqrtqrqqqrrrqsqrtqq.\nAnswer: 4\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) be the second derivative of 719*m**3\/6 + 33*m**2 - 81*m. Is w(7) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.3? (a) 5 (b) 2 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 383 = 46*p - 169 for p.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j + 7 = 15. Let s = 1013 - 22375\/22. Find the common denominator of s and j - (2 + 655\/(-30)).\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-374)\/(-2057) + (-488)\/22.\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 7, y: 12}. Give prob of sequence yy.\nAnswer: 22\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -691, -915, -1061, -1117, -1071, -911, -625, -201?\nAnswer: 373","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1131? (a) 13\/22 (b) 3 (c) -8 (d) 3\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*s**3 + 570*s**2 + 2888*s + 3480.\nAnswer: -2*(s - 290)*(s + 2)*(s + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z + 2*n = -8547, -3*z - 11396 = z + 4*n. Let p = z - -11307\/4. Find the common denominator of p and -87\/4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15127?\nAnswer: 7, 2161","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 1206864134 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = u - n, 3*n + 0 = -3*u - 3. Let -2\/3*p**5 + 2\/3*p**3 + u - 2\/3*p**4 + 0*p + 2\/3*p**2 = 0. Calculate p.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 156780 rounded to the nearest 1000?\nAnswer: 157000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find s, given that 2*s**2 + 2364*s + 32704 = 0.\nAnswer: -1168, -14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/4? (a) -8 (b) -13 (c) 18 (d) 5.6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -k - 1. Let f(s) = -87910 - 31*s - 87912 + 175826. What is 4*c(j) + f(j)?\nAnswer: -35*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5 - 1 - 5 - 50*c.\nAnswer: -50*c - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 81 + 45. List the prime factors of f.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5314232850.\nAnswer: 2, 3, 5, 71, 498989","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 122 divided by 2\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6*((48\/28)\/(10\/(-14)))\/(678\/(-4520))?\nAnswer: 96","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000372 to 5 decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1829.\nAnswer: 31, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1707 - 1707. Solve 0 = -8*n - d*n - 8 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*m - 4281377 - 12578623. Round m to the nearest 100000.\nAnswer: -2800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + 0*y + 118 = -2*p, 0 = -5*y + 3*p + 555. Suppose y = 3*m - 3*w + 2*w, -4*m + 3*w + 144 = 0. What is the least common multiple of 28 and m?\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 6 + 4 + -1 + -3. Let l = -3 + q. Suppose l*i = -2*i. Solve 2*w = -i*w - 4 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 217087 and 65?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -386 - 2*a + 386. Let o(c) be the first derivative of -c**5\/30 + 3*c**2\/2 - 2. Let n(v) be the second derivative of o(v). Give n(x(w)).\nAnswer: -8*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) be the second derivative of 3\/4*k**4 + 31*k - 2 - 1\/42*k**7 - 2\/15*k**6 + 0*k**3 + k**2 + 0*k**5. What is the third derivative of c(n) wrt n?\nAnswer: -60*n**2 - 96*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = h**3 - 3*h**2 + 4*h + 4. Let g(w) = -3*w**3 + 5*w**2 - 7*w - 7. Let r(k) = -5*b(k) - 2*g(k). Let x be 1 + (-7 - (-1 - -1)). Determine r(x).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-98)\/343)\/((-165)\/(-105))?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -21*o + 959 - 959.\nAnswer: -21*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 1763 and 5?\nAnswer: 1758","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is one tenth of a gram in milligrams?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(136) + (-1*sqrt(136)*2 + sqrt(136) - sqrt(136)) + sqrt(136))\/(sqrt(648) - sqrt(648)*2)*3.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Add together -66.453021457 and 4598.\nAnswer: 4531.546978543","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Are -17 and -81\/5 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (-252)\/(-189)*(-2 - (-10)\/(-4))\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 70423 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a = 3*a - p - 5, -5 = p. Let h(m) = -m**3 + m**2 - 7*m + 132. Let x be h(a). Calculate the highest common divisor of 11 and x.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = i**3 - i**2 - 6*i + 3. Give k(3).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -326 - -525. Let w = -602\/3 + v. Which is the nearest to -2? (a) 4 (b) -5 (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) be the first derivative of 2*l**3\/3 - 3. Let a(o) = 2*o. Determine a(c(m)).\nAnswer: 4*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -4588 (b) -3\/4 (c) 0.4 (d) 3 (e) -3.22\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 2, s: 6, h: 3, z: 4}. What is prob of picking 1 s and 2 z?\nAnswer: 36\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 332 is divided by 67?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*1*(sqrt(162)*3 - sqrt(162)))\/((sqrt(54) + 3*sqrt(486))\/sqrt(9)).\nAnswer: -12*sqrt(3)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 - (-20 - (2 + 0 + 2 + -13))) + 49?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is u in 5*u**2 + 397981290*u + 7919455359503205 = 0?\nAnswer: -39798129","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 110 and 10?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 355 minutes before 10:39 AM?\nAnswer: 4:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -c**2 + 168*c - 1274. What is y(8)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.3? (a) 5.1 (b) 0.5 (c) -2\/5 (d) -74\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -4\/3 (b) 0.05 (c) -2\/9 (d) -0.1 (e) 2 (f) -3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -6993*z - 9513. Let s(g) = -24473*g - 33295. Let j(p) = 18*r(p) - 5*s(p). Differentiate j(c) wrt c.\nAnswer: -3509","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1537000 to the nearest 1000000.\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 6012979697 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1267170?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 163, 206, 249, 292?\n\"Answer: 43*g + 120","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 89 a factor of 1419171824?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28*y = 22*y + 2160. Is 15 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 35*d**5 + 11*d**2 - 20*d**2 - 37*d**5 + d**4 wrt d.\nAnswer: -120*d**2 + 24*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(38) + -3*sqrt(4598) + sqrt(4598))\/sqrt(2).\nAnswer: -21*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -p**3 - 108*p**2 - 317*p + 352. Give t(-105).\nAnswer: 562","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -328 - -1227. What is the tens digit of z?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1025 and 3525?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -327755, -654939, -982117, -1309283, -1636431, -1963555, -2290649, -2617707?\n\"Answer: p**3 - 3*p**2 - 327182*p - 571","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1582095 and 174.\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 21993317.52 to the nearest one million.\nAnswer: 22000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 11\/125?\nAnswer: 11\/125","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 213138?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 16801508 and 422.\nAnswer: 422","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i + i - 16 = 0. Suppose 5*h - 680 = 2*z, -i*z - 429 = -3*h - 7. Suppose 0 = -4*j - j + 3*g + 212, -5*g = 3*j - h. Is j prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*z = -18*z - 9*z - 12*z. Is z less than -1\/2171?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1567.151 - 4.551. Let k = z - 1429. Let p = k - 134. What is the third biggest value in -2, p, -0.3?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of (-4)\/(-16) - ((-1982)\/(-8))\/(-1) and 16?\nAnswer: 496","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 60251 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-35)*c*c**(1\/67))\/(c*c*c\/((c**10*c)\/c)*c)**36 assuming c is positive.\nAnswer: c**(12195\/67)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -166 + 166. Let x be 2 + 1 + (-242)\/44. What is the nearest to -4 in x, -1\/6, h?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -r**3 - 14*r**2 - 13*r. Let h be f(-13). Suppose 2*j + 7*j - 36 = h. Solve -j*b = -1 + 17 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 - (16 + -8 + -9 - (5 + 0))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4259, -9, 12 in decreasing order.\nAnswer: 4259, 12, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 136402.5 to the nearest 10000.\nAnswer: 140000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 2, g: 1, k: 1, p: 1, b: 1, a: 1}. Give prob of sequence akgp.\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u - 4*q - 31 = 0, -3*q + 5*q - 16 = -2*u. Let g(f) = -f + 5. Let t(j) = -j + 7. Let i = 3 - 8. Let y(x) = i*t(x) + u*g(x). Give y(2).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = 130*l**3 + 3*l**2 + 3*l - 5. Let t be i(3). What is the second derivative of -t*v**2 + 3541*v**2 + 32*v - 36*v**4 wrt v?\nAnswer: -432*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 140, 134, 128, 122, 116, 110?\n\"Answer: -6*f + 146","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -q**2 - 2. Let r(x) = -18*x**2 - 30. Let w(m) = -15*c(m) + r(m). Let g(b) = -33*b**2. Give w(g(u)).\nAnswer: -3267*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1201392 by 36.\nAnswer: 33372","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*s**3 + 26930110*s**2 = 0.\nAnswer: -5386022, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = 2979935*w**2. Let l(a) = 6*a. What is l(b(r))?\nAnswer: 17879610*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 40 in -12, -2\/57, -2\/7?\nAnswer: -2\/57","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1668*m**3 - 1165*m**3 + 41*m + 2831*m**3.\nAnswer: -2*m**3 + 41*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = 33*q**3 + 3*q**2 - 4*q + 2. Let y be c(2). Suppose t = 5*t + 2*b - y, t - 81 = -5*b. Suppose 0*h = -3*h + t. Is h a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(156) - 1*(-5*sqrt(156) + sqrt(156)) - sqrt(156))\/(sqrt(768)*2))**2 + 2 + -3)*6*-3.\nAnswer: 27\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -461683*u**3 + 119*u**2 + 78*u + 11.\nAnswer: -2770098","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(5040)*3)\/(sqrt(3584)\/sqrt(8)).\nAnswer: 9*sqrt(5)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -1938 divided by -102?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4*d**2*w**3*z**2 + 93107*d**2*z**3 - 23*d**2 - 5*d*w**3*z**3 + 2*d*w**3*z + 3*d*w*z**2 + 2*d*w - 429*w**2*z**3 - 37*z wrt d.\nAnswer: 8*w**3*z**2 + 186214*z**3 - 46","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 52 + -47. Suppose -n*k + 3*y - 5*y - 4 = 0, -2*y = 4. Suppose -g = -k*g - 5. Solve -2*s = 4*v - s - 15, -g*s = 5 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -13 - -10 - (82 - 85)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2538 is divided by 162.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -4001032 + -340?\nAnswer: -4001422","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -22 (base 5) in base 3?\nAnswer: -110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 29740902?\nAnswer: 2, 3, 4956817","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -f*m**3*t**3 - f*m**3*t**2 - 1409*f*m*t**3 + 276*f - 3*m**3*t**2 wrt t?\nAnswer: -6*f*m**3 - 8454*f*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*f - 15 - 19. Let x = f - -26. Is x a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -1311, -1323, -1343, -1371, -1407, -1451, -1503?\n\"Answer: -4*a**2 - 1307","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -12 * 30\nAnswer: -360","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 10, 12, 5, -1, 117, 4 in descending order.\nAnswer: 117, 12, 10, 5, 4, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 64*v = -8*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1056*h + 531*h - 2*u = -524*h - 6, -11*h = -2*u + 102 for h.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 1, v: 2, b: 1}. Give prob of picking 1 b and 1 g.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = f**2 - 2*f**2 + 3*f**2. Let u(c) = -3*c**2 - 8. Let b(y) = y**2 + 3. Let t(l) = -8*b(l) - 3*u(l). Calculate q(t(d)).\nAnswer: 2*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q\/q**(1\/5)*q*q**(-2\/5)*(q\/((((q*q*q**2)\/q*q)\/q)\/q)*q*q)**(12\/11) assuming q is positive.\nAnswer: q**(137\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 62491 divided by 2717\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) be the second derivative of -3*c**4\/4 + 11*c**3\/6 + 15*c**2\/2 + 194*c. Differentiate v(m) with respect to m.\nAnswer: -18*m + 11","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -c**2 - 11*c - 11. Let t be b(-10). Let k be -3 + 4 - (1 - 1). Sort t, k, 3 in ascending order.\nAnswer: t, k, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*w - 4*w + 6 = 0. Let l be w\/2*(-54)\/(-243). Let z = -1 + 1.5. Sort z, -0.5, l, 1 in increasing order.\nAnswer: -0.5, l, z, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-14)\/3)\/(6\/(-261)) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 288742185*a**3 + 180080824*a**2?\nAnswer: 1732453110","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2393 - 1988. What is the highest common divisor of 60 and j?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = s. Let f(y) be the third derivative of -y**5\/10 - 18*y**2. Calculate k(f(r)).\nAnswer: -6*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-16)\/6)\/((-6)\/9). Suppose 0 = m - 2*f - s - 17, f = -4*m + 57. Solve 4*h + m = h for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = b**2 + 6*b + 5. Let r be v(-5). Let w = -16.6637 - 0.0163. Let s = 0.68 + w. Which is bigger: r or s?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 divided by 494?\nAnswer: -9\/494","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**7\/a*a)**(-18)*(a**(-11))**(2\/21) assuming a is positive.\nAnswer: a**(-2668\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.4, -5, 2\/11, 1.7, -1458, 4\/7 in ascending order.\nAnswer: -1458, -5, 2\/11, 0.4, 4\/7, 1.7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**(4\/11)*f**9)\/(f**(1\/3)\/(f*f**(3\/14)*f*f*f)))**11 assuming f is positive.\nAnswer: f**(6119\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -108, 3\/4, -10?\nAnswer: -108","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k = -2*y - 2, -k + 0 = -4*y - 6. Let m be (-1 - y)\/(4 - 0). Let v be ((-2)\/(-3))\/(6\/(-3)). What is the nearest to v in 2\/21, 4, m?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -631*b + 0*b**2 + 318*b + 313*b - 9*b**2.\nAnswer: -9*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = 10*a - 15. Let i be j(3). Which is smaller: i or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 3193 and 3192 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:43 PM and 10:37 PM?\nAnswer: 354","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (80\/30*-12)\/(2\/(-1)).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from krlrifirrklkirfkrkk. What is prob of sequence rf?\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1192 + -703. Suppose 3*l - 6*l = -v. Is l a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -477c - -49?\nAnswer: -4733","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = 4*u**2 - 6*u - 94. Calculate s(8).\nAnswer: 114","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p - 32 = 4*g, -3*g - g = -2*p + 80. What is the highest common divisor of p and 1392?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 175827 is divided by 1046.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:15 AM and 10:49 AM?\nAnswer: 634","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = 14*m**2 + m. Let k(d) = -29*d**2 - 2*d. Determine -4*k(y) - 7*q(y).\nAnswer: 18*y**2 + y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 24849 is divided by 592?\nAnswer: 577","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 16 + -10. Is (59\/1)\/(3\/k) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -7*p - 2. Let g(s) = 13*s + 3. Let x(n) = -3*g(n) - 5*h(n). Determine x(2).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3082.\nAnswer: 2, 23, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = 2*u**3 - 8*u**2 + 8*u + 35. What is the tens digit of f(9)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = a**2 + 9*a - 6. Is d(6) a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -15263, -13807, -12345, -10877?\n\"Answer: 3*d**2 + 1447*d - 16713","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:55 AM and 8:06 AM?\nAnswer: 251","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*2*sqrt(2299)*6)**2.\nAnswer: 331056","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ggggggpgp. Give prob of picking 2 p.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 2494964, 4989949, 7484944, 9979955, 12474988, 14970049?\n\"Answer: p**3 - p**2 + 2494981*p - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000013999189 to 7 dps.\nAnswer: -0.0000014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = d**3 + 6*d**2 + 4*d - 14. Let k be m(-7). Let w = -130 - k. Let a = w - -79. What are the prime factors of a?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -x**2 - 16*x - 34. Let n be c(-14). Let k be n\/(-4)*(40\/15)\/2. Suppose 2*b = -3*b + 20. Solve 10 = 3*y - k*r, 5*r - 3 = -b*y - 5 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 66 and 444?\nAnswer: 4884","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -16*x**2 - 32*x - 10. Let f(q) = 3*q**2 + q + 2. Calculate 5*f(j) + p(j).\nAnswer: -j**2 - 27*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -2181, -2180, -2179, -2178, -2177, -2176?\n\"Answer: u - 2182","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 9 - 16. Let k(r) = -r**2 - 9*r + 5. What is the units digit of k(h)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2 + -11010220?\nAnswer: -11010211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = 38 - 23 - 16 - 3*i + 4*i. Let j(g) = -2*g**2 + 5*g - 6. Give 6*a(w) - j(w).\nAnswer: 2*w**2 + w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 3101260, 3101233, 3101188, 3101125, 3101044, 3100945?\n\"Answer: -9*b**2 + 3101269","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1143*l + 1049 = -42501 - 17029 for l.\nAnswer: -53","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = 12*b - 10*b - 2 - 4. Let s be c(4). Suppose -4*h = -s*n, -n + 2*h - 2 = -h. Solve -8 = -v - 2*y, v + 2*y = n*v for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*i**4*q**2 + 39*i**3*q**2 - 76864*i**3 + 2024*i**2*q - 15*i**2 + 67*i*q**2 - q**2 wrt i.\nAnswer: -48*i*q**2 + 234*q**2 - 461184","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Add -3859590029381 and -103.\nAnswer: -3859590029484","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*h**3 - 9 - 4*h**3 + 3 + 5 in the form j*h**2 + u + y*h + q*h**3 and give q.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/24 of a week in seconds?\nAnswer: 25200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 31531 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (5*(sqrt(153) + -1) - 2*sqrt(153)*-5 - 5*(sqrt(153) - (-2 + sqrt(153))*3))*2 + -3.\nAnswer: -68 + 150*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2698461?\nAnswer: 3, 17, 5879","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (2 - 0) + (11 - -1). Let i be ((-7)\/n)\/((-2)\/(-4)). Let z(o) = 128999*o**3 - o**2 - o - 1. Let h be z(i). Round h to the nearest ten thousand.\nAnswer: -130000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6210 - 5298 = -19*a for a.\nAnswer: -48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 833.236 micrometers to centimeters.\nAnswer: 0.0833236","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (261\/(-51) - -3) + 4\/34. Sort -8, 5, l, 3.\nAnswer: -8, l, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14*a**3 - 60*a**3 - 37*a**3 - 4*a**3.\nAnswer: -87*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-3)\/3 + -2 + 19. Suppose 2 = -2*i + 6. Calculate the highest common divisor of m and i.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.59 - 3066931?\nAnswer: -3066932.59","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e and 1 j when two letters picked without replacement from {j: 1, r: 2, e: 5, o: 7}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -l**3 + 5*l**2 - 5*l + 6. Let r be g(4). Suppose w - 8 = r*k, -2*k + 6*k = -8. What are the prime factors of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1324 is divided by 66?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 137 + -2601\/19. What is the nearest to 0.1 in -2\/3, -4, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -7*d**2 + 12*d**2 - 6*d**2 + 2*d**2. Let y(x) = 6*x. Determine y(z(b)).\nAnswer: 6*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*r = -34 + 11. Let g(z) = z**3 + 6*z**2 + z + 6. Let m be g(-6). Let x be (-4)\/(-2) - (m - 1). Which is the nearest to r? (a) -0.4 (b) x (c) -2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:56 AM and 7:36 PM?\nAnswer: 520","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + 14 = -f + 48, 3*d - 42 = -3*f. Suppose q = f*h - 14*h + 6, 2*h - 4*q = -10. What is the nearest to 2\/7 in 1\/4, h, 14?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*o**2 - 5*o**2 + o**2 + 3*o**2.\nAnswer: -3*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -633717443\/2 or -316858723?\nAnswer: -316858723","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -68*s + 57*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lm when two letters picked without replacement from {l: 1, d: 2, m: 1, r: 1, h: 1, i: 1}.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -4 (b) 2 (c) -1 (d) 4 (e) 15 (f) -0.01\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -2*u + 748. Let w be (u\/13)\/(1\/3). Suppose -w = -5*b + 298. Calculate the highest common factor of b and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1*-38)\/(3\/(-51)*(-68)\/56*7).\nAnswer: -76","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 3 or -12806?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -26404, -52924, -79504, -106174, -132964, -159904?\nAnswer: -187024","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 501\/835*(2 - (-19)\/(-12)). Put -0.3, -0.4, -1, 0.2, y in ascending order.\nAnswer: -1, -0.4, -0.3, 0.2, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2225 and 178?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = 122*f - 25. Let t(z) = 81*z - 17. Let k(d) = 8*t(d) - 5*x(d). Suppose 0 = -4*m - 5*i, -19 = -3*m + 4*i - 3*i. Is k(m) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 382 is divided by 49.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 67*i = 68*i + 131000. Round i to the nearest ten thousand.\nAnswer: -130000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 35520 and 61440?\nAnswer: 960","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 6) to base 2\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 - 3 - n**2)*(632849343*n + 2 - 632838546*n - 5) to p*n**2 + k*n**3 + c*n + o and give p.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 43 - 33. Let t(d) = 25*d**2 - 3*d - 11. Is t(r) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 26*v - 77 + 259 for v.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Do 0 and 15\/2489 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 666\/27 - 2\/3. Suppose -3*f + 20 = -2*x, 2*x = -5*f + 4 + s. What is the least common multiple of 20 and (-2)\/f - (-74)\/6?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-10)\/(-4)*2\/(-30)*-8\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/14? (a) -5 (b) 0.5 (c) -2 (d) 1\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*h**4*t - 24866*h**3 + 3*h**2*t - 2*h + 6697330*t wrt h?\nAnswer: -24*h**2*t - 149196*h + 6*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 13045928 and 35876302?\nAnswer: 143505208","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) be the second derivative of 2*h**6\/5 - h**3\/6 + 3*h. What is the second derivative of v(n) wrt n?\nAnswer: 144*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.2 - -388.\nAnswer: 388.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -34, 5, -1, 3 in ascending order.\nAnswer: -34, -1, 2, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.07? (a) 137 (b) -2\/5 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(288) + 1)**2 - (sqrt(8)\/sqrt(4)*-4 + 0))*1.\nAnswer: 28*sqrt(2) + 289","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r + u - 344 = -35, 0 = -4*r + 2*u - 306. Does 10 divide -1 - 2684\/(-9) - r\/(-351)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.047 rounded to one dp?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1)\/(-11) + 529\/(-253))\/(-1) - 59?\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -2*z**2 - 13*z - 6. Calculate f(-6).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 160 and 1504?\nAnswer: 7520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27 = -3*l + 9. Suppose 6*g - 4*g = l. What is the tens digit of 5 + g\/(-3) - -38?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven tenths of a second in milliseconds?\nAnswer: 1100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**(2\/43)*t**10\/t)\/(t*t*t**4*t)**(-14\/13))**(-46) assuming t is positive.\nAnswer: t**(-426466\/559)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 8a3460 (base 11) in base 8?\nAnswer: 5373201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3263 and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*c - 2*c, 0 = 5*z - 2*c. Let n(h) = 18 + 1 - h + 0*h. What is the tens digit of n(z)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -5*c + 1306. Calculate b(23).\nAnswer: 1191","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = i**3 - i. Let o(d) = -2*d**3 + 5*d. Suppose k - 3*a = 14, -15 = -0*a + 3*a. Let m(s) = k*o(s) - 3*q(s). Find the second derivative of m(j) wrt j.\nAnswer: -6*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3 + -6. Let r = -1 - z. Let a(m) = -54*m - 594. Let y be a(-11). Solve y = q + r*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 102 = 8*d + 166 for d.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) be the third derivative of a**7\/14 + 5*a**3\/2 - 13*a**2. What is the first derivative of y(j) wrt j?\nAnswer: 60*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -392 = -r - 3332*b + 3343*b, -r - 148 = -b - 3*b + 8*b for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0 + 6. Sort f, -2, 1.\nAnswer: -2, 1, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5301?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0001954 to 6 decimal places.\nAnswer: 0.000195","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 4459 and 112.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 divided by -6?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 36282*b - 36279*b - 56*m + 238 = 0, m + 51 = 4*b for b.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -102 - (-2 - (-5 - 0)). Let g = k + 110. Solve -w - 15 = g*y, -3*y + 13 = 2*w + 3*w for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f - 56*b + 3806 = -54*b, 4*f - 4*b - 7604 = 0. Let a = f + -986. List the prime factors of a.\nAnswer: 2, 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v + 5*r + 1379 = 4*v, -3 = r. What is the greatest common factor of 44 and v?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = 2*c + 1. Let q(y) = -12*y - 6. Let w(a) = -16*l(a) - 3*q(a). Let b(p) = 2*p + 1. Calculate 7*b(j) - 4*w(j).\nAnswer: -2*j - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 2.89, 3\/68, 6\/7, 2\/15 in ascending order.\nAnswer: -2, 3\/68, 2\/15, 6\/7, 2.89","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 18\/(-21)*(-49)\/21. Solve 4*b + 2*k = -2, -3*k + 22 = b + x*k for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -133, -1.28, 2\/7, -0.4?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -2121 - 1?\nAnswer: -2122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 96022*z**3 + 21*z**2 - 4*z**2 - 27867*z**3 - 17*z**2.\nAnswer: 68155*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 305523?\nAnswer: 3, 83, 409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*t = -15*t + 6*t. Suppose -x**3 + 0*x + t - 2\/5*x**2 = 0. Calculate x.\nAnswer: -2\/5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = 2*b**2 + 4*b + 2. Let n(d) = -4*d**2 - 7*d - 4. Let t(o) = 5*h(o) + 3*n(o). Let f be 102\/(-30) + 2\/5. What is t(f)?\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3359*m - 6263*m + 692*m - 1192*m.\nAnswer: -10122*m","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: Add 296993 and 580.\nAnswer: 297573","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 115276 and 1981588?\nAnswer: 644","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*b + 3*b - 8. Suppose w + 0 = 2*p + 2, 3*w + 3*p = -3. Suppose -v + w*v = -12. What is the lowest common multiple of v and b?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f = -3*d + 30 - 17, -2 = -2*f. Let p = -7 - -12. Solve 0 = -d*a + p - 15 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000001908 to seven decimal places.\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6 - 4*t**3 + t**2 - 10*t - 5 - 2*t**4 + 11*t + 2*t**3 to the form h*t**3 + v + r*t**2 + p*t**4 + w*t and give v.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -6909*k*r*w - k*w - 520*r*w + 3*r wrt k.\nAnswer: -6909*r*w - w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 51 - 141. Let l be 1 + -1 - v\/(0 - -5). Let m(g) = l*g + 3*g - 2*g. Let p(w) = w**2. Give p(m(z)).\nAnswer: 361*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 75408*v**2 - 1995*v + 174301580.\nAnswer: 150816*v - 1995","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4968*v + 2*v**3 + 2116*v - 5251*v.\nAnswer: 2*v**3 - 8103*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 810479.\nAnswer: 251, 3229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = y**3 + 167*y**2 + 5250*y - 289. Give z(-125).\nAnswer: -289","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -110 + 4883.68201035?\nAnswer: 4773.68201035","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -24 + 68. Let l(k) = 0 - 4 + 48*k - g*k. Let i(s) = -s + 1. What is 7*i(y) + 2*l(y)?\nAnswer: y - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -601, -1221, -1837, -2449, -3057, -3661, -4261?\n\"Answer: 2*v**2 - 626*v + 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 910340932 to the power of 1\/10, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s - 18 = -3*s. Let n(w) = -w**3 + 9*w**2 + 2*w - 6. Suppose 0 = 3*o + o - h - 85, 60 = 3*o + 3*h. Calculate the remainder when o is divided by n(s).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 180980.2 days to nanoseconds.\nAnswer: 15636689280000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 24987 to the power of 1\/9, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -257 - -301. Calculate the greatest common factor of 8 and y.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = 21*o - 1320. Let p be c(63). Suppose 0 + 3\/4*d**2 - 1\/2*d + 1\/2*d**p = 0. Calculate d.\nAnswer: -2, 0, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2085 is divided by 51?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 939\/52 - -5\/26. Let n = -12 - -24. Find the common denominator of (n\/10)\/(8\/(-30)) and w.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m - z + 242 = m, -5*m = -4*z - 257. Suppose -2*s = -3*s - m. Let d = 83 + s. Is 9 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -l**3 + 12*l**2 - 11*l - 4. Let k be x(11). Let j = k + 7. Find the second derivative of 2*c**3 + 2*c**3 + 4*c - c**j wrt c.\nAnswer: 18*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -6, -23, 3, 0, 65 in increasing order.\nAnswer: -23, -6, 0, 3, 65","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 37626, 37294, 36962?\nAnswer: 36630","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = h**2 - 4*h + 5. Let l be (21\/(-14))\/(6\/(-8)). Suppose 10 = -0*n + l*n. What is w(n)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 339384 is divided by 244.\nAnswer: 224","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -32*z - 27 = 3*j - 28*z, 19 = -2*j - 3*z for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -101 - 19 = -4*z. What is the units digit of z?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:56 PM and 11:34 PM?\nAnswer: 38","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d - 6*d = 0. Suppose 3*v - 45 = -d*v. Find the common denominator of -20\/9 and v.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 4.3 or 109\/253?\nAnswer: 109\/253","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000027151 to 7 decimal places.\nAnswer: -0.0000272","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 842?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of (2 - 4512)*(-90)\/36?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -4.2 - -0.2. Let f be -3 + 4\/(12\/9). Let h be f - (-2)\/4*-2. Which is the nearest to 0.1? (a) k (b) h (c) 1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 9850677 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1 + 2. Let z = -138.5 + 146. Let t = z + -6.9. What is the nearest to t in 0.1, a, -0.1?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in 3, -2, -5, -9?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 51710 = -4045*m - 60229 - 134806 for m.\nAnswer: -61","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.2 >= -44.014?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -31955, -64538, -97743, -131570, -166019, -201090?\n\"Answer: -311*o**2 - 31650*o + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + 3 + -81 + 29 + 57?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 1011001011 (base 2) to base 10\nAnswer: 715","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24876*i - 24858*i - 90 = 0 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 468108161.\nAnswer: 468108161","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (14*7\/(-21))\/((-80)\/(-24))*-10.\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 472 and 413?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -2673*f**2 + 818*f - 111. Let u(x) = x**2 - 19. Let r(q) = -b(q) + 6*u(q). What is the second derivative of r(n) wrt n?\nAnswer: 5358","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 1, f: 2}. Give prob of sequence mf.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Are -1 and -2237 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6 + (7 - (-10 - -4 - -9))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 43*f**4 - 20 + 16 - 16 - f**3 + 8*f - 54*f**4 wrt f?\nAnswer: -132*f**2 - 6*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 4 + 5 + (-4 + 2 + 0)*(4 + 2 - 1) + 2 - 4 + 4 + (-2 + 3 - 2)*(3 - 1 + 0) + 3 - 2 + 0)*(-2*j**2 + 0*j + 0*j).\nAnswer: 22*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put -360, 4, -86, -5, -16, 2, -1 in increasing order.\nAnswer: -360, -86, -16, -5, -1, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: Solve -2*p - 29 = -33 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = 39*z**2. Let w(k) = -594376*k**2. What is a(w(f))?\nAnswer: 13778030345664*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express 0 + 0 - 2*q**3 + (0*q + 0*q + 3*q)*(-2*q**2 + 3 - 3) in the form s + j*q + t*q**2 + f*q**3 and give f.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:39 AM and 1:49 PM?\nAnswer: 670","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 81594 (base 11) to base 14\nAnswer: 315dd","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1 + -1 + (-35)\/4. Let o(n) = -6*n - 124. Let v be o(-19). Which is smaller: v or h?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -36*y**4\/19 - 70*y**3\/19 + 2272*y**2\/19 - 126*y\/19 = 0.\nAnswer: -9, 0, 1\/18, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -0.1 or -129338823?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 92203564.\nAnswer: 2, 131, 175961","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express -3187498 + 3187498 - 1748*g in the form a*g + u and give a.\nAnswer: -1748","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 450918 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n + 60 = -3*n + 5*p, -2*n + 5*p - 39 = 0. Let b(h) = h**3 + 7*h**2 + 13. Is b(n) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -1 from -51676365870970.\nAnswer: -51676365870969","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.01177 to 3 decimal places.\nAnswer: 0.012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -102.2184 rounded to the nearest 10?\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9 - 9 + c - 2*c**2)*(0*c**2 + 4*c**2 + 0*c**2).\nAnswer: -8*c**4 + 4*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 666436 to the power of 1\/6, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 + -1 - (9 + -1 - 1).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = b**3 + 4*b**2 + 2*b - 3. Let r be (-33)\/12 + 1\/(-4) + 0. Determine z(r).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (q - 1 + 1)*(0 + 1 + 1)*(-3 - 2 + 0).\nAnswer: -10*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 52.7 - 54.7. Which is the nearest to 1? (a) -1\/4 (b) 2 (c) 7\/2 (d) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**9*t)\/(t*t*t**(-6))*t**(1\/9)*t**(-7\/3) assuming t is positive.\nAnswer: t**(106\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 1\/(-5) - -3*1748\/(-30). Let y = -173 - c. Solve -4*k + y*k = -4 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -77*s**4 + 59*s**2 + 202 - 203 + 221*s**4 wrt s.\nAnswer: 3456*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 4.5 - 8.5. Let i be (-8 + 2 + -4)*(-302)\/(-3775). Let n be (-3)\/(-2)*(-12)\/(-27). Which is the third biggest value? (a) n (b) i (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -4022, -16103, -36244, -64445, -100706, -145027?\n\"Answer: -4030*f**2 + 9*f - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -6*d**2 - 87*d - 251. Calculate w(-10).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6280 is divided by 519.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/3 in 3, -3\/5, 1025157?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2963660504 to the nearest integer?\nAnswer: 54440","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -15 + 6\/24 + (-818)\/(-56)?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 285 - 283. Suppose -w*x = 4*i - 298, -4*x + 188 = 4*i - 400. Calculate the greatest common divisor of 5 and x.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-10 + 6 + 20)*(-4*z**2 - z**3 + 4*z**2 + z**4).\nAnswer: 16*z**4 - 16*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -7 and 1.2?\nAnswer: -8.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-90)\/(-24) - (-2)\/8. Suppose -k*l = 26 - 326. Let b = 117 - l. List the prime factors of b.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1555 + 825 = 10*b. Suppose -b - 2393 = -3*x. Is x a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 2 + -22532050351?\nAnswer: -22532050345","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (6\/5)\/(-17*8\/340)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 539*g**2 + 557*g**2 - 1094*g**2 + 89*g.\nAnswer: 2*g**2 + 89*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 31404?\nAnswer: 2, 3, 2617","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 4, 41, 78?\n\"Answer: 37*f - 33","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/(v\/(v*v\/(v**(11\/5)*v))*v))\/(v*v*v**3*v)*(v\/((v*v**(-10)*v*v)\/v)*v)**(-42) assuming v is positive.\nAnswer: v**(-2141\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1\/4 or -5\/791?\nAnswer: -5\/791","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.06 and 1250?\nAnswer: -75","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = 2*o**2 + 29*o + 19. Let t be m(-14). Let w be -9*2\/3*-1. Solve w*i = i - a - 5, -t*a = -4*i - 33 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w**5 - 136*w**4 - 30*w**2 - 5*w**3 + 166*w**4 - 14*w**3 + 45*w - 21*w**3 = 0. Calculate w.\nAnswer: -1, 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hhhehehhehe. Give prob of sequence eh.\nAnswer: 14\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -4\/341 and 28\/279.\nAnswer: 3069","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = o**3 + 4*o**2 + o - 4. Let g be b(-3). Suppose 0 = -5*c + g*y + 55, -4*y = -3*c - 0*y + 33. Is c a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*z**2 - 12721898*z + 50887560 = 0. What is z?\nAnswer: 4, 6360945","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(6000))\/(sqrt(132)\/(sqrt(11)*-2) + sqrt(12)).\nAnswer: 20*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 1217 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 i when three letters picked without replacement from {k: 1, i: 3, w: 1}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 204 and 480?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-8)\/(-2) - 1 - 3. Let d(b) = 4*b + 4. Let r be d(4). Solve -p + 5 = a + 1, 3*p - 5*a + r = y for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) be the first derivative of -f**2\/2 + 5*f + 17. Let y be n(5). Is -8 >= y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -317*b*u**3 - 975*b*u**2 - 3*b*u + 47315*b + 35 wrt u.\nAnswer: -951*b*u**2 - 1950*b*u - 3*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 148*h - 151*h = -102. Calculate the greatest common factor of h and 272.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3*-376.\nAnswer: -1128","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 27660 and 517387215?\nAnswer: 6915","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Determine v so that -2*v**5\/7 + 2519250*v**4\/7 + 15115620*v**3\/7 - 60462340*v**2\/7 + 65500830*v\/7 - 22673358\/7 = 0.\nAnswer: -9, 1, 1259631","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*r - x + 22 = 0, -5*r + 0*x - 5*x = 15 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 276570*z**3 + 46253*z**2.\nAnswer: 1659420","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -191*o - 209*o = -4400 for o.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 - 1 = -2*r. Solve 2*b = -2*c + 4*b + r, 21 = 5*c + b for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1109\/(-53) - (144 - 165))*(-3)\/6?\nAnswer: -2\/53","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*m + 0*m + 4*m)*(-4*m**2 + m - m).\nAnswer: 4*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in eleven tenths of a hour?\nAnswer: 66","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1502107 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-28)\/(-14)*(-3)\/(-2).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:27 AM and 10:30 AM?\nAnswer: 423","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11 - 51\/17 - -9125?\nAnswer: 9133","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(432) - (sqrt(432) + 0)*2 - (0 + -1 + sqrt(432)) - ((sqrt(24)*2)\/sqrt(8) + -1 + sqrt(3)*-1))**2.\nAnswer: -100*sqrt(3) + 1879","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.4, 3, 224, 1057 in descending order.\nAnswer: 1057, 224, 3, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 140388?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2\/(-9) + (-325)\/(-45). Suppose 3*r + 2*s - 14 = 0, 2*s - 18 = 2*r - o*r. Solve -2*x - r*x + 16 = 0 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2\/49 + 137\/245. Let i be ((-3)\/(-2))\/(45\/(-24)). Which is the nearest to 1? (a) p (b) i (c) 11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x - 4*u = -120, 43 + 117 = -4*x - 4*u. Let g = 378 - x. Does 23 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -38 + 11 - ((-18)\/(-5))\/((-4)\/(80\/6)).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 9 + -15. Let r = c + 11. Suppose -r*n + 20 = -n. Is 4 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s = 2*p - 4, 2*s + 3 = p - s. Suppose -4*m - 1 = -9. Suppose m*l - 6*l + 1284 = p. Is l a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10175 is divided by 4487.\nAnswer: 1201","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.7 - 0.2. Suppose -o + 3 = -5. Suppose -5*r + 2 = 2*a - o, -5*a = -3*r + 37. Sort r, i, -1\/8 in decreasing order.\nAnswer: r, i, -1\/8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 51 and 209695.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -g**2\/7 - 32*g\/7 - 87\/7.\nAnswer: -(g + 3)*(g + 29)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4591859 to the nearest integer?\nAnswer: 2143","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jzzzzjzvzvjzzj. Give prob of picking 2 j and 2 z.\nAnswer: 24\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 11852 + -11122. List the prime factors of b.\nAnswer: 2, 5, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 27296171 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 12 and 144.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*i**3 - 4*i - 16*i**2 + 16*i**2)*(2*i - 3*i - 11*i) as c*i + s*i**3 + m*i**2 + f + d*i**4 and give m.\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1*(6*1 - 1). Suppose -63 = -n*b + p, -3*b + 2*b + 21 = -3*p. Suppose -a - b = -3*a. What are the prime factors of a?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 + 16 + -26 + 16\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5816?\nAnswer: 2, 727","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 5302.921 or 43?\nAnswer: 43","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -b - 209?\nAnswer: -214","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 22139867 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 35 - 26. Let n(k) = -k + 9. Let f(o) = -1 - 2 + 5. Let z(c) = b*f(c) - 2*n(c). Let m(i) = 14*i**2. What is m(z(x))?\nAnswer: 56*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3.99 - -0.03. Let q = k + -4. Sort q, 5, 2.\nAnswer: q, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-2)\/(-6) - (-10)\/(-12). Let l(g) = g - 1. Let o be l(6). Let i = 5 - o. Are y and i equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.1 (b) 1\/5 (c) 2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -2, -22, -48, -74, -94, -102, -92, -58?\n\"Answer: u**3 - 9*u**2 + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) be the third derivative of -z**7\/30 + z**5\/30 + 5*z**2. Find the third derivative of j(d) wrt d.\nAnswer: -168*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 4834 - 0?\nAnswer: 4834","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -1 - (-16)\/(-4)*-1. Let h(o) = 4*o**2 - 5*o + 4. Let v(s) = -s**2 + s. Let c(p) = h(p) + 3*v(p). Give c(t).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -410172248*d**5 - 548872973*d.\nAnswer: -8203444960*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -18, -42, -88, -168, -294?\nAnswer: -478","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 16898 - 16873. Calculate the remainder when 890 is divided by d.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-55)\/44 + 19\/(-4)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-9507)\/3*3\/2220*-1. Let a = 16\/37 - g. Calculate the common denominator of a and 46\/95.\nAnswer: 380","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 622630 - 3?\nAnswer: 622626","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 134*y + 3*f + 24 = 138*y, -y + 2*f + 11 = 0. Let a be 0*(2 - (-15)\/(-6)). Suppose a*w = w + 1. What is the closest to w in 2\/3, 0.05, y?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1553 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28*k - 20*k + 80 = 0 for k.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -l**3 - 4*l**2 - 4*l. Let j be q(-3). Suppose j*u + 7 = a, u - 7 = -0*a - a. Let d = 66 + a. What is d rounded to the nearest 10?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 170*w + 322*w - 27*w + 18135 = 0 for w.\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express -79*p**3 + 52*p**3 - 327*p**3 + (1 - 1 - p**2)*(2*p - 2*p + p) in the form d + j*p**2 + k*p**3 + q*p and give k.\nAnswer: -355","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.599732 nanometers in micrometers?\nAnswer: 0.008599732","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/20 of a millennium in decades?\nAnswer: 5","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -259*f - 88 - 271*f - 385*f - 139*f.\nAnswer: -1054*f - 88","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 22 and 1530933.\nAnswer: 33680526","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1957607?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-2)\/22)\/((-1)\/(-2)). Let f be 25\/(-24) + ((-28)\/21 - -2). Which is the nearest to 1\/3? (a) f (b) l (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = d - 5*d - 12. Let p(f) = 424*f - 45. Let g(z) = -212*z + 21. Let r(u) = -7*g(u) - 4*p(u). Is r(d) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2288850 and 1050?\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express (7 - 13 - 15)*(-22*z - 23*z + 14*z)*(3 + 0 - 5) as p + w*z and give w.\nAnswer: -1302","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 11 - 5. Let l(r) = -b*r + 44 - 19*r - 9 + 4*r. Is 14 a factor of l(-9)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-10)\/(-45)*(-945)\/(-30).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -q**2 + 1. Let r = -2 - -1. Let h be m(r). Suppose -12 = -h*g - 3*g. Solve -j + 26 = 4*o - g*j, 0 = -2*o + 4*j + 18 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 1, x: 14}. Give prob of sequence xgx.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -980 = 39*l + 9*l + 22*l for l.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -299 + 1290. Is z 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 7:50 AM and 12:36 PM?\nAnswer: 286","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 9835, 9838, 9843, 9850, 9859?\nAnswer: 9870","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -0.079*24962\nAnswer: -1971.998","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4954, 9896, 14840, 19786, 24734, 29684?\nAnswer: 34636","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 83\/70 + -9\/10. Solve -2\/7*h**4 - w*h**5 + 2\/7*h**3 + 0*h + 0 + 2\/7*h**2 = 0 for h.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11.259 rounded to zero dps?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -6 + 16. Let k = -9.5 + d. Let z = -0.2 + 0. Which is the third smallest value? (a) -1\/7 (b) k (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) be the third derivative of 19*f**5\/60 - 4*f**2. Let n(p) = -3753*p + 3753*p - 4*p**2 + 7*p**2. What is h(n(t))?\nAnswer: 171*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = 46*x**3 - x**2 + 1. Let s be l(1). Let w = -39 + 129. Let d(b) = -w + 44 - b**2 + s. Let q(o) = -o**2. Calculate d(q(m)).\nAnswer: -m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 292043?\nAnswer: 17, 41, 419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 27 - 30. Put 7, f, 3 in decreasing order.\nAnswer: 7, 3, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 76 divided by 1.\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -172 - 32. Which is bigger: -205 or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 10\/(-20) + 42\/20 + -2. Which is the closest to -1\/3? (a) s (b) 0 (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -7019\/9 + 779. Which is greater: d or -2?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*t**3 - 1018756*t**2.\nAnswer: -4*t**2*(t + 254689)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*j - 24*j + 13*j = 33 for j.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -2361+27.093\nAnswer: -2333.907","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i**2\/7 - 1502*i\/7 + 13680\/7 = 0. Calculate i.\nAnswer: -760, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 38564540 and 266.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -7, 40 in ascending order.\nAnswer: -7, -5, 40","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y = 10 - 1. Suppose y*r + 13 - 40 = 0. What is the remainder when 31 is divided by r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -8*l**2. What is u(-1)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3732 = 3*t + 4*m - 9446, -t - m + 4393 = 0. List the prime factors of t.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 344.64 + -344.640495. Round g to 5 dps.\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or 2\/7961151?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1005 + 1359. What is the greatest common factor of m and 472?\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2003067, 2003066, 2003065, 2003064, 2003063, 2003062?\nAnswer: 2003061","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 340214830*i**2*u**3 + 348517*i**2*u**2 - 11*i*u - 4*u wrt u.\nAnswer: 2041288980*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13798 = 452*y - 5638 for y.\nAnswer: 43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -19\/1129737 and -31\/42.\nAnswer: 2259474","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand b**3 - b**5 - b**3 + (-b + b + 2*b)*(48*b**2 + 2*b**4 - 48*b**2) + 4*b**5 + 3*b**5 - 5*b**5.\nAnswer: 5*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 15160799 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 7 + -8. Let q = c - -4. Does 2 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 4039037 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put together -11 and -1.3.\nAnswer: -12.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21 = -2*j - 21. Let a(v) = -v - 4 - 1 - 2. Let d be a(-8). Sort -3, j, d in decreasing order.\nAnswer: d, j, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -i**2 + 18*i + 43. Let v be z(20). Let t be (v + -2)\/(1\/9). Suppose -2*q = -2*g + 2, g + 5*q = -g + t. Solve 0 = g*o - 4 - 2 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = 169*p + 17. Let s(b) = 21*b + 2. Calculate 6*h(m) - 51*s(m).\nAnswer: -57*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = 310*d + 4 - 3*d**2 - d**2 - 9 - 615*d + 302*d. Let f(m) = -m**2 - 1. Give -b(s) + 6*f(s).\nAnswer: -2*s**2 + 3*s - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -f**2 + 7276*f + 263219. Give p(-36).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -n**2 + 2*n + 1. Let x(j) be the first derivative of -1\/3*j**3 + 4*j**2 - 6 - 5*j. Let y be x(7). Determine z(y).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2744, 2745, 2746, 2747?\nAnswer: 2748","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2712117054?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + 1*sqrt(162) + -4*sqrt(24)\/(sqrt(36)\/sqrt(3)))**2 + (4*-1*sqrt(18))\/sqrt(9) + (1 + 1*sqrt(2) + 2)**2.\nAnswer: -28*sqrt(2) + 70","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 2\/45 and 113\/6660?\nAnswer: 6660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 261720740 to the power of 1\/2, to the nearest integer?\nAnswer: 16178","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4? (a) 2.5 (b) 0 (c) 1 (d) -1\/2 (e) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((0 + sqrt(567))*-2 - sqrt(567) - (sqrt(567) + 3*2*sqrt(567)) - (sqrt(567) + sqrt(567) + 2*sqrt(567) + 4 + 4 + sqrt(567)*2))**2.\nAnswer: 2304*sqrt(7) + 145216","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 187 divide 1531223320?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is j in -5*j**3 - 40*j**2 + 2300*j - 14000 = 0?\nAnswer: -28, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 97 is divided by 20?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 121*j = 125*j - 2*y - 0 - 6, 8*j - 4*y - 13 + 0 = -y for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 5 (b) -40 (c) 0.2 (d) 3\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 52*u - 936 = -o, 3*o - 11 = 2*u - 47 for u.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -18*f**3 - 6*f**2 - 6*f - 13. Let g(x) = -35*x**3 - 13*x**2 - 13*x - 27. Let t(m) = 13*c(m) - 6*g(m). What is the first derivative of t(v) wrt v?\nAnswer: -72*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -2 - (-8 + 5*(-12)\/(-15)). What is the smallest value in -30, 0.1, c?\nAnswer: -30","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 135.7 and -2.8.\nAnswer: -379.96","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*d + 7*d - 2*x - 3 = 0, -2*d - 5*x = -7 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gqqvmvvvvgvmzvbqm. Give prob of sequence vzq.\nAnswer: 7\/1360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2425 - -2452. Put o, 10, -0.1 in descending order.\nAnswer: o, 10, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -7*b**2 - 9*b + 5. Let i(c) = 4*c**2 + 5*c - 3. Let j(l) = -5*i(l) - 3*u(l). Factor j(a).\nAnswer: a*(a + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11 divided by -3244490.\nAnswer: 11\/3244490","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -11 + -28. Let o = -38.97 - k. Suppose -12 = 4*m - 4, 2*n + 5*m = -8. What is the nearest to 0 in -0.3, n, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 28 - (26 + -58) - (-2 - -4)?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 26 + -24.5. Let f = x - 1.9. Sort -0.06, -4, f.\nAnswer: -4, f, -0.06","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 38499704 is divided by 4277742?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 144, 292, 436, 576, 712, 844, 972?\n\"Answer: -2*y**2 + 154*y - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 103368?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*d + 3901*h - 6 = 3899*h, 5*d + h = 0 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Determine z so that -4*z**4 - 408*z**3 - 9988*z**2 + 21216*z - 10816 = 0.\nAnswer: -52, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -312218 times -0.1\nAnswer: 31221.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1*-1*1*0. Let t = -19 + 15. Let l be -2*t\/(-8)*q. Let k(b) = b**3 + b**2 + b - 7. Determine k(l).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = 33*y**3 + 12*y**2 - y - 6. Let n(g) = -34*g**3 - 14*g**2 + g + 7. Calculate -7*c(b) - 6*n(b).\nAnswer: -27*b**3 + b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2372 + -2379 + (-2 - (1 - 2)).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 917849654?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = 2*k**2 + k. Let m = 109 + 53. Let w(a) = 161*a + 1 - 1 - m*a. What is w(h(b))?\nAnswer: -2*b**2 - b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2 - 1.6. Let y = l + 0.1. Let d = 6752 + -6752.1. Which is the second smallest value? (a) y (b) d (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = o - 5*o + 8. Let u(t) = -t**3 - 2*t**2 + t - 2. Let k be u(-3). Let v be 6\/9 + k\/12. Solve -f - v = o for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by -38657\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2422 or -6.1622?\nAnswer: -2422","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -36045*j*u**3 + 9*j*u + 7*u**2 + 29*u wrt u.\nAnswer: -216270*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:55 PM and 10:00 PM?\nAnswer: 185","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 5 - 36?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 43824.\nAnswer: 2, 3, 11, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -11.7845706 rounded to zero dps?\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 5, 2, 3, -54 in ascending order.\nAnswer: -54, 1, 2, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let 8\/5*k - 12\/5*k**2 - 2*k**3 + 16\/5 - 2\/5*k**4 = 0. What is k?\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 299.0131 + -299. Round g to three dps.\nAnswer: 0.013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = 26*f**2 + 5*f + 4. Is x(3) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-3)\/(-2))\/(413\/(-104) + 4). Let m = 52 - a. What is the derivative of 5*k**2 + 2*k**2 + m + 1 - 8*k**2 wrt k?\nAnswer: -2*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 18318, 36640, 54962, 73284?\n\"Answer: 18322*m - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = 8*q - 140. Let j(f) = 2*f**2 - 18*f - 62. Calculate the smallest common multiple of j(13) and q.\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 510*q**6 + 2*q**5 + q**3 - 28*q**2 + 40*q + 1?\nAnswer: 61200*q**3 + 120*q**2 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((f\/f**(-8))\/f)\/f*f*(f*f*f**13*f)\/f)**9 assuming f is positive.\nAnswer: f**207","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6107 (base 12) to base 7.\nAnswer: 42445","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -566.00000299 - -566. Round n to six dps.\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 46075.847 to the nearest ten.\nAnswer: 46080","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = 19*x**3 - 2*x**2 + 2*x - 45. Let v(t) = 21*t**3 - 2*t**2 + 2*t - 59. Calculate 4*c(f) - 3*v(f).\nAnswer: 13*f**3 - 2*f**2 + 2*f - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 161.54 - 160. Let n = 24.54 - o. What is the nearest to n in -0.3, -1\/4, -3\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g + 17 = 27. Let l be (-9)\/(-3) - (g*1259999 + -2). Round l to the nearest 1000000.\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -10.2 and 0.14328?\nAnswer: -1.461456","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -3, 5\/7, 5\/2, -8\/3, -0.23657, -2?\nAnswer: -8\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z\/z**0)**35*z**(-6)\/(z**(-3)*z))\/(((z\/((z\/(z*z**(-2)))\/z)*z)\/((z**5*z)\/z))\/((z\/z**(1\/2))\/((z\/z**(2\/5))\/z))) assuming z is positive.\nAnswer: z**(359\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 15380606*n - 17314183.\nAnswer: 15380606","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o + 17 = -3. Let h(u) = u**2 - u + 3. What is the remainder when 43 is divided by h(o)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 383\/3 + -129. What is the smallest value in -1, 0, 5, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 958, 1018, 1072, 1120, 1162?\nAnswer: 1198","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let -u**3\/6 - 14861*u**2\/2 = 0. What is u?\nAnswer: -44583, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -j**2*n**2 + 4*j**2 - 171*j*n**2 - 8*n**2 - 21*n - 2 wrt n.\nAnswer: -2*j**2 - 342*j - 16","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 10217\/33 + -3402\/11. Sort -15, -0.1, m, 12 in descending order.\nAnswer: 12, m, -0.1, -15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = q**3 - 5*q**2 + 5*q + 5. Let r be b(3). Suppose -2*v + 6*m = r*m - 184, 2*v = -3*m + 156. What are the prime factors of v?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (59 - 9*w - 59)*(-1 + 1 + w**4).\nAnswer: -9*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2*(-3 - (-52)\/8). Let t be h\/(-7)*-1*4. Find the third derivative of l**6 - 3*l**6 + 4*l**2 + t*l**3 - 4*l**3 wrt l.\nAnswer: -240*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 198 and 231?\nAnswer: 1386","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = 2*g**3 + 10*g**2 + g + 4. Let w be a(-5). Let l(f) = -20*f - 7. Let z(x) = -39*x - 15. Let q(o) = 13*l(o) - 6*z(o). What is q(w)?\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00023257748 to 5 decimal places.\nAnswer: 0.00023","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = 3*u**3 + 8*u**2 - 6*u - 6. Let f be k(-3). Suppose 0 = 2*m + m - 267. Suppose -233 = -t - 4*w - m, -w = f*t - 476. What is the units digit of t?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nnncnnnnnnnnl. Give prob of picking 1 l and 3 n.\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 65 - (-10 + -1 + 33).\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:44 PM and 1:13 AM?\nAnswer: 89","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*v**2\/7 + 467304*v\/7 + 467300\/7.\nAnswer: 4*(v + 1)*(v + 116825)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 10103212 + 3321?\nAnswer: 10113133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -355 + 207. Let b = f - -149. What is the second biggest value in 2\/117, -2, b?\nAnswer: 2\/117","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j = y - 1226, -3*y + 3*j + 3209 + 523 = 0. What is the units digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 4, f: 7, g: 5, o: 3}. What is prob of picking 3 g and 1 o?\nAnswer: 5\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -4\/7 (b) 2 (c) 5 (d) -14\/15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -36*i**2 - 50*i**3 + 39*i**2 - 53*i**3 + (-i**2 + i - i)*(-i - 1 + 1) to a*i**3 + l + r*i + x*i**2 and give a.\nAnswer: -102","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 5, 3, 1?\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -117 + 62. Is -1\/4 bigger than o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6354 is divided by 34?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = 5*z**2 + z + 1. Let k be n(-1). Let h be ((-7)\/21)\/(2\/(-4)). Which is the nearest to h? (a) -3\/5 (b) k (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1172 = 32*z + 7060. What is the third biggest value in 2\/15, -3\/7, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -r**3 + 4*r**2 - 3*r + 2. Let g be h(2). Suppose -8 = -g*b + 8. Solve -3*k - 16 = -b*a, 0 = 2*k + 11 - 3 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -1, -29, -5, 1, 8, -3 in descending order.\nAnswer: 8, 3, 1, -1, -3, -5, -29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -419111, -838057, -1257005, -1675955, -2094907, -2513861, -2932817?\nAnswer: -3351775","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 2511*o**2 + 2116*o**2 - 2467*o**2 + (-3 + o + 3)*(-o - 4*o + 4*o) in the form h*o**2 + y + s*o and give h.\nAnswer: 2159","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -4\/5041825 + 53668210403\/10083650. Let c = a - 5316. Let v = -18812 - -263481\/14. What is the common denominator of c and v?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + -2*sqrt(3) + -5 + (-3*sqrt(3)*5 + 0)**2.\nAnswer: -2*sqrt(3) + 670","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 422008180 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 13037451*a**4*d + 6639555*d + 2 with respect to a.\nAnswer: 52149804*a**3*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000473 to six decimal places.\nAnswer: -0.000047","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 330, 1342, 3058, 5502, 8698?\nAnswer: 12670","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -f**2 + 6*f + 5. Calculate t(7).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let 7*j**2 + 16 - 110 - 5*j**2 - 32*j + 6*j - 42 = 0. Calculate j.\nAnswer: -4, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 268436.\nAnswer: 2, 7, 9587","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q - 2*a - 3*a = -138, 4 = a. Suppose -23*k + 302 - q = 0. Solve 7*n = k*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -259196\/1273 or -204?\nAnswer: -259196\/1273","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -a**3 + 19*a**2 + 4*a - 4. Let f be r(19). What is the greatest common divisor of f and 63?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 11785187 and 1262.\nAnswer: 631","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-8)\/(-48)*-9)\/((-3)\/72*-3)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 15\/9 + (-2)\/3. Let r be (14\/5 - 1)\/((-42)\/(-20)). Which is greater: f or r?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -3*v - 2. Let p be d(-4). Suppose 255 = 18*y - 195. Calculate the highest common factor of p and y.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 4, -3027 in decreasing order.\nAnswer: 4, -3, -3027","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) be the first derivative of -n**4\/2 + 20*n**3\/3 - 33*n**2 - 66. What is the second derivative of f(d) wrt d?\nAnswer: -12*d + 40","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -1331, -1341, -1351, -1361?\n\"Answer: -10*z - 1321","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:22 AM and 11:06 AM?\nAnswer: 44","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i = -0*i + z - 6, -2*i + 4*z = -26. Suppose -4*a = -i - 15. Solve a*o - 6 + 21 = 0 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = o**3 + 21*o**2 + 33*o + 1398. Determine l(-21).\nAnswer: 705","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-3 - -1)*6\/(-4). Suppose 0 = -3*v - 5*u + 17, 1 = -2*v - c*u + 14. Is v a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 5089\/11 + -464. Suppose -t - 4*t - 6310 = 0. Let h = t - -7697\/6. Calculate the common denominator of q and h.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 67 is divided by 2 - (-12 + 0 - 3)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -10 + 20?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 43828 to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000000526843 rounded to 7 decimal places?\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s - 11 = -5*v, -2 = 4*v - 4*s + 6. Suppose 0 = 3*k + 3, -2*k + v - 81 = 3*t. Which is smaller: -27 or t?\nAnswer: -27","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -3 (b) -0.2 (c) -23068\/7 (d) -2 (e) -0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 13 (base 5) in base 11?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 481 + -224. Let f = i + -490. Let o = 516 + f. List the prime factors of o.\nAnswer: 283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -1b164 + 102?\nAnswer: -1b062","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2625 - 2212. What is the units digit of d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ini when three letters picked without replacement from innnnii?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -k**2 + 13*k - 60. Give j(12).\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -24\/25 + 322\/75. Let j = t - 3. Which is the nearest to j? (a) 0.2 (b) -1\/3 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4289 + -6.\nAnswer: 4283","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 1746360013 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.1295418052, 0.2, 0.4?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = 3*l**2 + 30*l - 39. List the prime factors of i(-17).\nAnswer: 2, 3, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 94456 to the nearest integer?\nAnswer: 307","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1500577?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ddpmpmddpbddn. Give prob of sequence nnp.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 3\/15*((-75)\/(-6))\/5. Determine n so that b*n**2 + 1\/6*n - 2\/3*n**3 + 0 = 0.\nAnswer: -1\/4, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = 10*w - 3. Let o(m) = 1409*m**3 + m**2 + 2*m - 2. Let t be o(w). Find r such that -1410 + 6*r + 15*r**2 - 6*r**5 - r**4 + t - 14*r**4 = 0.\nAnswer: -2, -1, -1\/2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (24\/15)\/1*180\/(-72)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*c**2 + 2*c**2 + c**2 + (4 + c - 4)*(7*c - 3*c - 2*c) + (-5*c + 2 - 2)*(-c + 3*c - c).\nAnswer: -2*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 40*n - 44*n - 2*b + 158, b = -4*n + 163. Calculate the highest common factor of 2541 and n.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*x**3 + 8345*x**2 - 50210*x + 67000.\nAnswer: 5*(x - 4)*(x - 2)*(x + 1675)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = 20*w - 24. What are the prime factors of n(10)?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 526 minutes before 6:16 PM?\nAnswer: 9:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -318*o - 69 + 1659 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 plus -13.7?\nAnswer: -8.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*c = b - 18, -53*b - 2 = -3*c - 58*b for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0 (b) 2\/7 (c) 32\/441 (d) 49\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 494 to the power of 1\/3, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert -24 (base 5) to base 3.\nAnswer: -112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = m. Suppose 5*h + 2*d - 10 = h, -2*h + 4*d = 0. Suppose 0*j = -h*j. Let l(n) = -3 + 5 - 11*n + n + j*n. Calculate l(q) + 12*u(q).\nAnswer: 2*q + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -458 - -452. Is 25 a factor of (-13 - -4 - -4)\/(s\/930)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -101 - -11000011101010100111000111010?\nAnswer: 11000011101010100111000110101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 198 and 126?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -1823637\/20, 5, -5 in ascending order.\nAnswer: -1823637\/20, -5, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -454383*n + 860 = -454426*n for n.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 174*y**2 + 130*y?\nAnswer: 348","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/8 of a litre in millilitres?\nAnswer: 1625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2620696*n + 651692 wrt n?\nAnswer: 2620696","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.2 + 0.2. Let j = 19 + -14. Let m = -3.9 + j. What is the smallest value in -1\/2, m, l?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -103 + 926\/9. Let k be 0\/(-3 + 0 - -1). Let i be 24\/8 - (3 + k). Which is greater: i or o?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -3*g. Let j be h(1). Let i(f) = -45*f. Let v be i(j). Does 10 divide 16\/(-6)*v\/(-12)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 327 and 208545?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -131\/3 + 45. Let u = -98.7 + 103. Let x = 4.4 - u. Which is smaller: w or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-12)\/22*(-20504)\/699. Solve -j*y + 10 = 74 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from otzt. What is prob of picking 3 t?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (-24)\/(-28)*((-14448)\/(-32))\/43\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = 45*c**2 - 511*c + 186. What is x(11)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 187 and (-6 - (-4*(-1 + -1) - 2929)) + -8?\nAnswer: 31977","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 56\/37449 and -55\/3834.\nAnswer: 5317758","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -9140 take away 376658?\nAnswer: -385798","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q - 2*d + 77 + 25 = 0, 4*q - 2*d = -212. Let a = q + 11. Let w = a - -48. Let i(j) = -j - 1. Give i(w).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = 14*c**3 - c**2. Let s be 36\/18 - (-134)\/(-2). Let k = 66 + s. Calculate a(k).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) be the second derivative of -n**4\/12 + n. Let w(b) = 10*b. Determine w(a(x)).\nAnswer: -10*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*l - 3*v - 5, -l + 2*v = -0*l - 8. Let y = 1 + l. Let i be 0\/y + -2 + 582. Round i to the nearest one hundred.\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 3208340441?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 60 times 53.89\nAnswer: 3233.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12808*f + f**2 + 16*f**2 + 16*f**2 - 12805*f + 3*f**2.\nAnswer: 36*f**2 + 3*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 3\/2 (b) -18 (c) 1 (d) -1.1695 (e) 1\/3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t\/(t\/t**(1\/7))*t)\/t**(-16))\/(t\/(t**5\/t))**18 assuming t is positive.\nAnswer: t**(498\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8390 is divided by 2768?\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -1425113 - 22?\nAnswer: -1425135","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = m**3 - 102*m**2 - 645*m + 419. Calculate d(108).\nAnswer: 743","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor s**4\/9 - 6358*s**3\/9 + 3364439*s**2\/3 + 40449596*s\/9 + 40475044\/9.\nAnswer: (s - 3181)**2*(s + 2)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = 8*g - 5. Let i be y(-5). Let r = i + 77. Suppose 101*t + 157*t = 577 + 1229. What is the remainder when r is divided by t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 i when two letters picked without replacement from {i: 4, j: 14}?\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.0476003 * -13.\nAnswer: -0.6188039","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a + 15 = 66. Let u(i) = -6*i. Let s be u(-3). Let b = a - s. Sort b, -3, 3 in decreasing order.\nAnswer: 3, b, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*k - 13*c + c = 11*c - 47, 5*k - 253 = 4*c - 227 for k.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 367941 to the power of 1\/2, to the nearest integer?\nAnswer: 607","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -50\/121 and ((-13)\/((-1170)\/(-2300)))\/(88\/6)?\nAnswer: 726","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1112002111 (base 3) to base 6.\nAnswer: -350404","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = 57*g. Let j(k) = -k**2 + 5*k + 5. Let f(x) = -112 - 112 + 6*x - 2*x**2 + 230. Let t(o) = -5*f(o) + 6*j(o). What is t(i(a))?\nAnswer: 12996*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 99520, -5 in decreasing order.\nAnswer: 99520, 5, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -283*y - 3375 = 100*y - 608*y for y.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sum 11.2527 and -0.58.\nAnswer: 10.6727","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-6)*t*t**(-1\/4))\/((t**(-5)\/t)\/(t*t\/t**(-4))) assuming t is positive.\nAnswer: t**(27\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3\/(-30))\/(16\/(-40)).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -3783*m - 3102. Let u(n) = 26464*n + 21716. Let x(z) = 15*g(z) + 2*u(z). Differentiate x(a) with respect to a.\nAnswer: -3817","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 442\/(-17)*5\/(45\/(-9))\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*v**3 - 15447*v**2 + 19891872*v - 19876428 = 0. Calculate v.\nAnswer: 1, 2574","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3*((-85)\/6 - -14).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*y - 29 = 5*j, -6*y + 561*j = 564*j + 9 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) be the second derivative of x**5\/20 + 17*x**4\/12 + 41*x**3\/6 - 23*x**2\/2 + 3*x - 1163. Calculate n(-14).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5 (base 6) to base 2\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = 13*i**2. Let v(x) be the first derivative of -35*x**3 + 3. Let u(m) = 49*j(m) + 6*v(m). Let b(o) = -o**2. Calculate b(u(p)).\nAnswer: -49*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*p + 30 + 34 = 16 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 32 a factor of 243333?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*g**2 - 2*g**2 + 4*g**2)*(3*g - 4*g - g + (g + g - 4*g)*(0 - 3 + 4) - g - g + g) + 1363*g**3 - 3 - 1483*g**3 + 1709*g**3.\nAnswer: 1594*g**3 - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 472 and 57938.\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t\/(t**(2\/7)*t))**(1\/8))**13\/(t**(-1\/6)\/((t*t**(-6\/11))\/t*t)*t**6\/(t\/(t\/(t\/((t\/((t\/t**(5\/2)*t)\/t))\/t))))) assuming t is positive.\nAnswer: t**(-5861\/924)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/9, 0.4, 14.3 in descending order.\nAnswer: 14.3, 0.4, 2\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 801899?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 2\/11, -0.402, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) be the third derivative of -f**6\/480 + 47*f**5\/120 + 197*f**4\/32 + 75*f**3\/2 + 67*f**2 + 4. Find w such that t(w) = 0.\nAnswer: -3, 100","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b = -3*i + 1495, b - 1705 = -4*i + 260. Does 78 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-6)\/10 - 486\/15. Let g = 33 + z. Solve 3*n + 4*f + 4 = g, 3*n + 10 = -0*n - f for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 3 (b) -2\/3 (c) -2.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -9c6 (base 16) in base 12?\nAnswer: -1546","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-3)\/2)\/(2\/(-48)). Suppose 5*a = 3*a + c. List the prime factors of a.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 89*j**3 + 119*j**3 + 95*j**3 - 264*j**3.\nAnswer: 39*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k - 4 = -0*k. Let g(m) = -2 + 11278*m**2 - 11282*m**2 - 2 + 3*m**3 - 4*m. Let u(s) = 6*s**3 - 9*s**2 - 9*s - 9. What is k*u(o) + 9*g(o)?\nAnswer: 3*o**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -7*b*p**3*x - 79*b*p*x - 18708*b*x**2 + 2*p**3*x**2 + 2*p**3*x wrt x?\nAnswer: -37416*b + 4*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -4*(-5 + 144\/30)*-5. Suppose 4*q - 12 + 2 = 2*k, 5*q + 55 = -2*k. Let f be (-80)\/k + j + -2. Is f at most -35?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2.8 - 1.4. Let o = f - -0.6. Let l = -1\/5 + 11\/30. Which is the second smallest value? (a) 1 (b) l (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 240997 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/5*-15)\/(12\/42)\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -101\/426 and -107\/209898.\nAnswer: 14902758","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 567386934?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 3115486331 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = f**3 + 6*f**2 + 6*f + 3. Let b be p(-5). Let c be -2 - (b - -3*3). Is 2\/(-6) - 318\/c a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -2*x**3 - 4*x**2 - 4*x. What is the tens digit of j(-3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -7.66031 to 0 decimal places.\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 77\/7220 and 61\/4?\nAnswer: 7220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -1377 - -4?\nAnswer: -1373","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12670264?\nAnswer: 2, 19, 83357","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = 321*q**2 - 2*q + 7. Let a be l(5). Let p be ((-63)\/756)\/((-2)\/(-192092)). Let w = p + a. What is the common denominator of w and 83\/18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*p + 56 - 10 = 0. What is the units digit of p - (2\/(-5) + (-6492)\/20)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3.967 - 42429832474.\nAnswer: -42429832470.033","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10442435 (base 6) to base 10.\nAnswer: 316823","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is (8*(-11)\/(-110))\/((-2)\/(-745)) a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -38*c + 14*c + 14*c - c**3 + 9*c + 28*c**4 to p*c**2 + d + z*c**3 + n*c**4 + j*c and give z.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.27 - 0.57. Let f = -2.52 + -0.18. Let i = f + t. Which is the closest to i? (a) -2\/11 (b) 0.5 (c) -7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 43*j - 20*j - 11*j - 19*j.\nAnswer: -7*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1262087524*g**3*n**2 + g**2*n + 14*g*n**2 + 2*n**2 - 18*n + 15175 wrt g?\nAnswer: 7572525144*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -1476?\nAnswer: -1476","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 120, 106, 90, 72, 52, 30?\n\"Answer: -s**2 - 11*s + 132","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 10927621, 21855240, 32782859, 43710478, 54638097?\nAnswer: 65565716","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -v + k + 1174, -5*v + 4230 + 1664 = 3*k. Is v a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1730 - 1746. Sort 1\/5, c, 1\/11, -1 in descending order.\nAnswer: 1\/5, 1\/11, -1, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = u**3 - 26*u**2 - 8*u - 43. Does 49 divide a(28)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(120) - (sqrt(120)*-2 - sqrt(120)))\/sqrt(6))\/(-5*sqrt(144)).\nAnswer: -2*sqrt(5)\/15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -2*j - 18. Determine p(-18).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 2, v: 1, d: 1, x: 1, k: 1, n: 1}. Give prob of picking 1 k and 1 v.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1\/2473 + -2469\/9892. Is -10\/33 > d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 183172?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 100705?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 54*k = 38*k - 7 - 25 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 divided by -77409.\nAnswer: -1\/25803","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -4034 (base 8) in base 13?\nAnswer: -c39","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 3790?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v = 2*i - 4, -v - 3*v = 4*i - 8. Let x(y) = y**3 - 3*y**2 - 3*y + 4. Let z be x(4). Solve -i*o + z = -0*o for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -25.94307 rounded to the nearest integer?\nAnswer: -26","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in s**2 - 22*s - s**2 - 44*s**3 + 24*s.\nAnswer: -44*s**3 + 2*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 13 + (-1 - 4) + 0. Let o be 8*((-5)\/(-4) - 1). Calculate the highest common factor of f and o.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -45 = -5*h + 5*x, -h - 3*x - 34 = -5*h. Calculate the common denominator of 54\/7 and (-12)\/h*18\/(-4).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8357 = -m + 4*r, 103*m - 4*r - 33512 = 99*m. Is m a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 6 + 1 + -23 + 19. Suppose -4*n - l + d*l - 1728 = 0, 2*n = 4*l - 858. Let a = 736 + n. What is the units digit of a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 163 divided by 5?\nAnswer: 163\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/8 of a tonne in kilograms?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) be the third derivative of -k**5\/120 - 7*k**4\/48 + 2*k**3\/3 + 2*k**2 + 64. Solve p(i) = 0.\nAnswer: -8, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = -g + 2*v + 6, 3*g - 4*v + 20 = 0. Suppose -t - 5*t = g. Solve t = 3*s - 0*s - 9 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.226309 and 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 76 + -75.98. What is the nearest to -1\/2 in h, -4, 1?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 13303134, 53212550, 119728248, 212850234, 332578514, 478913094?\nAnswer: 651853980","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -95.8117 to 0 decimal places.\nAnswer: -96","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 7607 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 3 - 0 - -10 - 1. Suppose -a - y = -3*a. Let m(d) = d - 5. Let r(h) = -1. Calculate a*r(j) - m(j).\nAnswer: -j - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g and 1 t when two letters picked without replacement from otooggogogtoo.\nAnswer: 4\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 381 - 189. Let r = 6066 - 6048. What is the least common multiple of r and f?\nAnswer: 576","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.6? (a) -0.5 (b) 0.9 (c) -4\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 3, n: 6, s: 2, z: 3, r: 1}. Give prob of picking 2 s and 1 r.\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*l = -5*z + 8106 - 8146, -4 = -4*l - 4*z for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j - 3*j + 4 = 0. Let t(s) = 2*s - 3*s**j - 2*s + s**2. Let r(x) = -3 + x + 3. What is r(t(f))?\nAnswer: -2*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3782410718850 + f**2 + 3782410718850.\nAnswer: f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 7 (b) 1 (c) -1\/5 (d) -45\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = 7021*l**2. Let m(y) = 101*y - 12. Calculate m(n(k)).\nAnswer: 709121*k**2 - 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -46*z + 7. Let o(n) = n - 1. Let y be o(9). Let q(a) = a**2 - 9*a + 3. Let g be q(y). Is w(g) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 13293 to the nearest 100.\nAnswer: 13300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -22333 - -113130122?\nAnswer: 113101123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-4 - 274\/(-38)) + -3. Suppose 5*u = -3*i - 6, -2 = -i + u + 4. What is the second smallest value in i, 1, a?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3179079679 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 182857 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = 2*q**2 - 6*q - 8. Let s be ((-1)\/(-3))\/((-2)\/(-36)). Let x be y(s). What is the greatest common factor of 140 and x?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + 3 + 1 + (1 - -6) - (7 + -8)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r*r\/(r*r*r**40)*r*r*r**(8\/15) assuming r is positive.\nAnswer: r**(-562\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*m = -4*m + 4*b + 49, 3*m - b = -26. Let p be (30\/m)\/(10\/(-12)). Solve 0 = -c - g + 1, -p*c - 5 = -5*g for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-2)\/4*-2 - -8. Let b = 924 - 921. Find the first derivative of -7*w**b + 3 + n - 6 + 9 wrt w.\nAnswer: -21*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let a(h) be the second derivative of 5*h**3\/6 - 31*h. Let x(s) = 13*s**2 - 26*s**2 + 11*s**2. Calculate a(x(w)).\nAnswer: -10*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19 - 10 - 9 - j.\nAnswer: -j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -6 - -4. Let g = 13\/2 - 25\/4. Which is the third smallest value? (a) n (b) g (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 6 and 1836.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 17686?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 175*c**2*z**4 + 17*c**2*z - 2*z wrt z?\nAnswer: 2100*c**2*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = 93*v**2 - 32*v**2 - 31*v**2 - 31*v**2. Let m be (-13 - -9)*(-1)\/2. Let l(j) = 15*j - m + 0 - 4*j. What is b(l(n))?\nAnswer: -121*n**2 + 44*n - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 160269 is divided by 94.\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = 4*b - 11. Suppose -2*u = b*f + 365, u + 4*f + 101 = -79. Let t = u - -304. What is the highest common factor of 15 and t?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (2 + 34\/3)\/(1\/(-3)). Let o be 5\/t - 2\/(-16). Suppose -46 = 3*p - 5*m - 185, o = -2*p - 5*m + 101. What is the highest common divisor of p and 32?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 23, 64, 163, 350, 655?\nAnswer: 1108","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 9 + 6*c**2 - 9 + (2*c + 3*c - 2*c)*(-3*c + 5 - 5).\nAnswer: -3*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -bc3 (base 13) to base 11\nAnswer: -1575","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 620 is divided by 104?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = s**2 + 9*s + 3. Let a(l) = 5*l**2 + 37*l + 13. Let o(k) = -2*a(k) + 9*b(k). What is o(7)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.7 + -6.5. Let g = 0.3 + o. Let l = -6 - g. Which is the second biggest value? (a) -5 (b) -0.4 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -92, 0, 2, -6, 1 in increasing order.\nAnswer: -92, -6, 0, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = u**3 - 22*u**2 + 4*u - 46. Calculate the lowest common multiple of x(22) and 21.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -1021, -999, -977, -955?\n\"Answer: 22*w - 1043","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 2 and 0.063?\nAnswer: 0.126","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 1570804 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 0.8525742 decades?\nAnswer: 102.308904","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = 2*w**2 - 15*w + 14. Calculate the smallest common multiple of 30 and m(7).\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 172238.4 - -587414.6. Let k = -759648.499946 + v. Let s = 4.5 - k. What is s rounded to 5 decimal places?\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = a - 6*a + 5. Suppose 5*i = 5*x + 50, 2*x - 3*i + 15 = -0*x. Let n be (-2)\/5 - 3\/x. What is the third biggest value in n, 4, a?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = 40*r**2 - 16*r - 6. Give f(1).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 72805.\nAnswer: 5, 14561","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u - 5*r = 820, -2*r + 5*r - 684 = -4*u. What are the prime factors of u?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 94874736 to the power of 1\/3, to the nearest integer?\nAnswer: 456","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3610, -5, 3, -136 in decreasing order.\nAnswer: 3610, 3, -5, -136","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uuu when three letters picked without replacement from {p: 3, u: 3}?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27*x - 22*x - 125 = 0. Suppose 2*b - 26 = j, -2*b = -b - j - 12. Calculate the remainder when x is divided by b.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -23*j**4 + 5*j**3*u**3 + 59*j**2*u**3 + 2*j**2*u**2 + j*u**3 wrt j?\nAnswer: -552*j + 30*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u + 1 = -5*g, -2*g - 5 = -g - 2*u. Suppose -3*o - h + 13 - 2 = 0, 2*o - 3*h = 11. Calculate the remainder when o is divided by g.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:26 PM and 1:41 AM?\nAnswer: 255","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*p + 0 = 5*o - 10, 0 = p + o - 2 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) be the third derivative of o**4\/2 - 8*o**3\/3 + 3*o**2 + 15*o. What is the remainder when 658 is divided by z(5)?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -69, -128, -211, -306, -401, -484, -543, -566?\n\"Answer: 2*k**3 - 24*k**2 - k - 46","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -302001 - -222?\nAnswer: -301113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -12 - -22. Calculate the remainder when 43 is divided by (12\/8)\/(1\/j).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + 310 = 5*o + 3*n, -4*o - n = -263. Calculate the remainder when o is divided by (-168)\/308 + 826\/22.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = 0*x - 3*x - 3*x - 3*x**2. Let c(g) = -g. Suppose 0*a + 2 = -2*f + 2*a, -3*f - 3*a = -9. Calculate f*j(y) - 6*c(y).\nAnswer: -3*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 1984 less than 7069?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) be the third derivative of -o**7\/210 - 7*o**6\/30 - 1129*o**3\/2 - 3301*o**2. What is the derivative of m(x) wrt x?\nAnswer: -4*x**3 - 84*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*c + 4*b - 560, b = c - 0*b - 136. Let i be (-3)\/12 - (-13272)\/96. Is i bigger than c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -119*d**2 + 338*d**2 - 85*d**2 - 81*d**2 - 82*d**2 - 64*d**2.\nAnswer: -93*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*j = 3*l, j = -0*j + 89 - 84 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-2 - 2 + 3)*(0*x**2 + 0*x**2 - 2*x**2) - 2 + 2 + 4*x**2)*(-3 - x**2 + 3)*(-2 - 3 + 3)*(-2*x - 3*x + 4*x).\nAnswer: -12*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*p + 15, 2*m + 2*p = -3*m + 30. Let t(s) = -9 - s + 12 - m. Determine t(-6).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1976, 1934, 1892, 1850, 1808?\nAnswer: 1766","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 14061 and 516.\nAnswer: 129","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 4 + 2)*(-9861 + 2311*p + 9861) + 3*p + 0*p - 4*p - p + 4*p - 4*p + (-1 - 1 + 0)*(-4*p + 3*p + 2*p).\nAnswer: -2315*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22*g + 26566 = 26346 for g.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 29 a factor of 110562?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -31*i**5*y**2 + 83*i**5 - 4*i*y**2 - 13*i*y - 4*i - 7*y**2 wrt i.\nAnswer: -620*i**3*y**2 + 1660*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 24\/60 + (3 - (-429)\/(-135)).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -h**3 - 8*h**2 - 9*h - 14. Let a be q(-7). Find the common denominator of (-3 - a) + (-62)\/16 and 7\/6.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-20)\/(-7))\/(-21 + 5662\/266).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = 55*c. Let a be v(2). Let l(k) = 4*k**3 + k**2 + 13*k + 18. Let p be l(-3). Let j be 133\/(-38)*p\/42. Calculate the highest common divisor of j and a.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 49284 by -692.\nAnswer: -12321\/173","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 13\/3*(9 + -8 + 2). Solve 0 = 11*p - y*p + 3*g + 12, -3*g - 15 = -3*p for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 649?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -2 - 17\/7 - -3. Which is smaller: -1 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z = -4, 3*z + 2*z = -3*s + 62. What is the highest common divisor of 3 and s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18147342299 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-10)\/25*5\/1. Let s = 1 - t. Suppose s*p = -9, -4*p = -4*a - 17 + 57. What is the units digit of a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 17712 and 208?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.2, 0.5, 7023, -0.3 in decreasing order.\nAnswer: 7023, 0.5, 0.2, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -n + 59. Let h(g) = 3754065*g. What is i(h(t))?\nAnswer: -3754065*t + 59","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -u**3 + 5*u**2 - 6*u.\nAnswer: -u*(u - 3)*(u - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 138 and 1831122?\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -14*f - 13. Let u(k) = 56 + 0*k**2 - 56 - 5*k**2 + 4*k**2. What is u(n(o))?\nAnswer: -196*o**2 - 364*o - 169","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-13 - (3 - (12 + (58 - 6)))) + -5 - 10?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -69*y**3 - 58*y**3 + 84*y**3.\nAnswer: -43*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2842 to the nearest integer?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Product of 48 and 2.\nAnswer: 96","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 58 a factor of 973085372?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -40947000 to the nearest 100000.\nAnswer: -40900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ymyx when four letters picked without replacement from mymxiym?\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide 117122580 by 9540.\nAnswer: 12277","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s and 1 n when two letters picked without replacement from {n: 2, j: 1, s: 7, d: 4}.\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000278322 rounded to 6 decimal places?\nAnswer: 0.000028","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -154 - -153.5. What is the second smallest value in -5, -1\/3, -25, k?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:25 AM and 7:17 AM?\nAnswer: 292","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) be the third derivative of -13*y**8\/336 - y**6\/40 - 377*y**4\/8 + 22*y**2 - 32*y. What is the second derivative of a(f) wrt f?\nAnswer: -260*f**3 - 18*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 84244*c**2 - 42110*c**2 - 42124*c**2.\nAnswer: 10*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 909355 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2013 + 2038. Solve -r = 3*m - 8, -11 - z = -4*m + 5*r for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = g**2. Let p = 6 - 4. Let z(k) = -k - 4*k + 3*k + 2*k**p - k**2. Let b(h) = -3*s(h) + z(h). Find the second derivative of b(o) wrt o.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 83839411 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 124222 > 124225?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 38249 + -38255. Let y(m) = 2*m + 11. Let f(c) = 2*c + 12. Let n(w) = 6*f(w) - 7*y(w). What is n(b)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*w + w - 2*w)*(-23*w - 5*w - 27*w)*(0 + 3 + 2) as s + r*w + c*w**2 and give c.\nAnswer: 275","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 6675 - 6669. Solve -4*n = k*n - 10 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (108\/2772)\/(-18*(-8)\/168)?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4643.\nAnswer: 4643","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11904 is divided by 14?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qqgg when four letters picked without replacement from {q: 2, g: 7}?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -311 + 313. Let w(z) = 10*z - 196*z**2 - 192*z**2 - 199*z**i + 581*z**2 - 13*z**3. Let t(x) = -4*x**3 - 2*x**2 + 3*x. What is 7*t(o) - 2*w(o)?\nAnswer: -2*o**3 - 2*o**2 + o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -i**2 - 6*i + 1. Calculate the remainder when 3\/2*(-8)\/(-60)*205 is divided by j(-5).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 545451559 to the power of 1\/8, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 48 divide 156480?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -263792 or -4484476\/17?\nAnswer: -263792","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5\/4)\/((-4)\/16).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -31 + 423. Let u = -176 + h. List the prime factors of u.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2\/13, -993.6, 0.5, 5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*p**3 + 452*p**2 + 50*p - 11300.\nAnswer: -2*(p - 226)*(p - 5)*(p + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2\/3 (b) 2\/5 (c) 39 (d) -26 (e) 4\/3 (f) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -7*l - 3. Let g(r) = r + 1. Let s(p) = -3*g(p) - y(p). Let z be s(-4). Let o(x) = x**3 + 17*x**2 + 14*x - 14. What are the prime factors of o(z)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7 + 11 - (-5 - -4).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 207 minutes before 5:14 AM?\nAnswer: 1:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j + 19 = -5*i, -i - 2 = 2*j - j. Let t be (-13 + -27)*j\/2. Let x = 140 + t. Is x a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000032125 to six dps.\nAnswer: -0.000032","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 m and 1 w when three letters picked without replacement from wwmwlwmml?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -x - 2*w = -6, -234*x + 232*x + 136*w + 572 = 0 for x.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 306556 (base 9) in base 15?\nAnswer: 38dbc","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(2057) + sqrt(2057) + sqrt(2057) + 1 + -5 - sqrt(2057)*-2*-4)*-4 - (-2 + (3*sqrt(2057) + sqrt(2057))*1 + 4))**2.\nAnswer: 4928*sqrt(17) + 526788","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = 3*z - 3. Let r be f(8). Find the common denominator of (-1 + 442\/4)*(-3)\/27 and 4\/(-12) + 19\/r.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 14, -37, -633 in decreasing order.\nAnswer: 14, -37, -633","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0 - -11. Calculate the greatest common factor of a and 33.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1 = -2*g + b, 0 = -16*g - 3*b - 4 + 29 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ki when two letters picked without replacement from {b: 9, k: 1, n: 4, i: 2}.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express 17811*r - 8337*r - 8733*r in the form l + a*r and give a.\nAnswer: 741","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 537957 to the power of 1\/2, to the nearest integer?\nAnswer: 733","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*x - 1000 = -2*x. Let j = 191 + -95. Suppose 23 = m - 0*m - 2*t, 4*m - 4*t = j. What is the greatest common factor of m and x?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -63*j**4*o + 5*j**4 - 3074*j + 33*o - 22262 wrt j.\nAnswer: -252*j**3*o + 20*j**3 - 3074","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -142 (base 5) to base 16.\nAnswer: -2f","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (271 - 281) + 2 + -7 + -1\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 14063 and 1667470?\nAnswer: 2009","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 646356?\nAnswer: 2, 3, 61, 883","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 l and 1 g when four letters picked without replacement from lngouogn.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -42 - -29. Let g = p - -24. Let c = g - 11. Are -14 and c unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = 471*s**3 - 4*s**2 + 3*s + 3. Is k(2) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -z**3 - 3*z**2 + 2*z - 7. Let i be c(-4). Let x = -162\/5 + 32. Is x less than or equal to i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/(27\/(-12))*(-6 - -2 - 5).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*u**2 + 5*u**2 - u**2 + (-23*u - 30*u + 23*u)*(0 - 6 + 0)*(5*u + u - 4*u))*(-4*u + 5*u + u) to g + m*u + o*u**2 + l*u**3 and give l.\nAnswer: 724","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -10228406710 to the nearest one hundred thousand.\nAnswer: -10228400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = r**2 + 10*r - 5. Determine p(-10).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ls when two letters picked without replacement from {l: 2, s: 1, g: 1}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/2 in 5, 0.5, -224?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 1, -0.3, -19 in decreasing order.\nAnswer: 1, -0.3, -3, -19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -d**3 - 11*d**2 - 14*d + 20. Let s be r(-9). Let b be (-1 - s\/(-4)) + 7. Solve b*o = -o + 15 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1 and -3028.\nAnswer: 3028","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m = 4*l + 12, -5*l + 4 = 3*m + 11. Let u = -55 + 59. Put -4, l, u, -5 in decreasing order.\nAnswer: u, l, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 58 + (-66 - -34) - 29\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 2\/2*-67*(-2)\/(-8)*404\/101\nAnswer: -67","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 7 - 1)*(-g**3 + 0*g**3 - g**3) + (0*g**3 - g**3 - g**3)*(2 + 3 - 10).\nAnswer: -2*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -1085724, -2171427, -3257130?\n\"Answer: -1085703*q - 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 23 + -22.6. Sort -0.5, o, 4 in descending order.\nAnswer: 4, o, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*t**5\/7 - 256*t**4\/7 + 320*t**3 - 4608*t**2\/7 = 0 for t.\nAnswer: -72, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 190 and 17955?\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 37\/369 + 5\/41. What is the nearest to 4 in -2\/7, w, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.1 + -0.2. Let i = -52 + 40. Let g be (i\/56)\/((-2)\/(-7)). Put x, g, -1\/7 in descending order.\nAnswer: x, -1\/7, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 - 73*h**4 - 36*h**4 + 2*h - 41*h**2 + 110*h**4 to the form f + g*h**3 + y*h**2 + u*h + s*h**4 and give s.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -49, -43, -17, 41, 143, 301, 527?\n\"Answer: 2*x**3 - 2*x**2 - 2*x - 47","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-1\/2)*k\/(k\/(k*k*k\/k**(-12)*k*k))*k*k)\/(k*k\/(k**(-2)*k)*k)**(4\/11) assuming k is positive.\nAnswer: k**(375\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t = 11*l - 1992, 912 = 5*l - 2*t + 4*t. Solve 0 = -43*s - l - 207 for s.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h\/h**4*h*h*h**2 assuming h is positive.\nAnswer: h","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-2)\/(-8) + (-47)\/(-4). What is the highest common factor of t and 36?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 77\/5 of a microsecond?\nAnswer: 15400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 40309 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide -845 by 5.\nAnswer: -169","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 271528?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*f**3*v**2 - 64268*f**3 + 185367*f**2*j*v**2 - 2*f**2*j*v wrt v.\nAnswer: -4*f**3 + 370734*f**2*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 5372796948?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -5*l**2 - 7*l - 2. Let g(u) = -u**2. Let y(b) = -d(b) + 4*g(b). Determine y(-7).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-4)\/1928)\/(2\/4). Let v = z - 695\/6748. Let h = 103\/84 - v. What is the nearest to 0.1 in 4, -1, h?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -71930*b**2 + 113417*b wrt b.\nAnswer: -143860","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26*u + 21*u + 870 = 0. Let b = u + -171. Solve -5*h + b = 5*v + 23, h - 2*v = -4 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 4914, 2, 5, -261.\nAnswer: -261, -1, 2, 5, 4914","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*m - 81 - 19. What is the hundreds digit of 0*4\/m + (-179)\/(-1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 60, -570377 in decreasing order.\nAnswer: 60, 0, -570377","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 1889265661 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert -63 (base 15) to base 10.\nAnswer: -93","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) be the second derivative of 69\/2*n**2 + 0 + 7\/6*n**3 - 13*n. What is the units digit of k(22)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5609.236 tonnes to grams.\nAnswer: 5609236000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 276157 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -2 - 2*s + 0 + 0. Let k be i(-3). Suppose 0 = k*t - 3*x - 52, -t - x + 2*x + 13 = 0. Does 11 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 439 minutes before 12:22 PM?\nAnswer: 5:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-317)\/16 + (-186)\/992. Are h and 0.74 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -24 + 14. Let i(b) = b**3 + 12*b**2 + 19*b - 11. Let n be i(s). Let g(x) = -3*x**2 - 4*x. Let t(o) = -15*o - 13*o + 27*o. Give n*g(j) + 6*t(j).\nAnswer: 3*j**2 - 2*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -36 and 45262?\nAnswer: -1629432","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7c9c64 (base 14) to base 10.\nAnswer: 4252896","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve u - 82 + 72 = 0 for u.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -y + 4. Suppose 0 = -4*a + 3*f - 3, -f + 9 = -4*f. Let z be 352\/154 + a\/((-21)\/(-2)). Let o(l) = -3. Calculate z*n(c) + 3*o(c).\nAnswer: -2*c - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(((sqrt(33) + (sqrt(231)\/sqrt(7) - sqrt(33)))*-6)\/((sqrt(110) + (sqrt(110) - sqrt(110)*1))\/sqrt(10)))**2.\nAnswer: 108","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = b**2 + 23. Let x(f) = -f**2 + 2*f - 1. Let m(w) = 2*o(w) + 6*x(w). Solve m(g) = 0.\nAnswer: -2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7 - (-18 + 19 - 4)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 d, 1 k, and 1 x when four letters picked without replacement from kkddxdddg.\nAnswer: 10\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -6 - -8. Suppose -y*k - 34 = -4*z, z + 5*k = 2*z + 14. What is the units digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) be the second derivative of 0*i**5 + 0*i**2 - 8*i + 0*i**4 + 0 + 2\/3*i**3 + 0*i**6 - 1\/14*i**7. Find the second derivative of f(o) wrt o.\nAnswer: -60*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -2 and 652.11335.\nAnswer: -1304.2267","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) be the second derivative of -9*c**2 + 2*c**3 - 1\/6*c**4 + 0 - 2*c. Solve n(i) = 0.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -13 (base 8) to base 13\nAnswer: -b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10 - -11001101110011111111?\nAnswer: 11001101110011111101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -163\/17976 and -85\/18?\nAnswer: 53928","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -4 - 2. Let q be 4\/r*(-2 - 1). What is the third derivative of 2*z**6 - 3*z**q + 0*z**6 + 2*z**2 wrt z?\nAnswer: 240*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*t**3 - 8764*t**2 - 5*t**3 + 8799*t**2.\nAnswer: -12*t**3 + 35*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -307 + 358. Calculate the highest common divisor of 17 and p.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) be the second derivative of 2*j**3\/3 + j**2\/2 - 16*j + 3. Give k(-1).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -4 - 0. Let j be ((-25)\/10)\/(2\/v). Suppose 4*z - 61 = -a + 3*z, -j*a + 278 = -4*z. Is a a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -37*v**2 - 7. Let k(c) = 17*c**2 - c + 1. Let j(l) = 104*l**2 - 6*l + 6. Let o(d) = j(d) - 6*k(d). Calculate m(o(y)).\nAnswer: -148*y**4 - 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(4212)*-2 + sqrt(4212))\/sqrt(4).\nAnswer: -9*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.019058 rounded to 1 dp?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide -13700 by 20.\nAnswer: -685","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 394176?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -1*(0 + (-2)\/5). Suppose 11*z - 2 = 10*z. What is the closest to 1 in z, d, 0.1?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (26389*g**2 - 16037*g**2 + 8618*g**2)*(-2*g + 0 + 0)*(0 - 3 + 0) to the form s*g**2 + r + h*g**3 + z*g and give h.\nAnswer: 113820","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (304\/40)\/(-19)*5\/(-34).\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 45343927 to the power of 1\/4, to the nearest integer?\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 8, n: 5}. What is prob of sequence mm?\nAnswer: 14\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.142072697936 - 0.065.\nAnswer: -0.207072697936","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*o**4 - o**4 + 3*o**4)*(-15 + 2*o + 45 - 11).\nAnswer: 12*o**5 + 114*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*l**3\/7 + 2026*l**2\/7 + 110284*l\/7 - 473680\/7.\nAnswer: 2*(l - 4)*(l + 62)*(l + 955)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 22044770 even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vv when two letters picked without replacement from {a: 7, n: 1, v: 2, g: 7}?\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*v**2\/3 + 8572*v\/3 + 9184898\/3.\nAnswer: 2*(v + 2143)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14806 is divided by 255.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*a - 11*a + 15 = 0. Solve h - 2 = a*h + 2*o, 3*h = 2*o - 8 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -9, -10, -6 in descending order.\nAnswer: 1, -6, -9, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.16 - 0.08. Let o = -0.04 - v. Let x = -5.0675 - -0.0675. What is the closest to o in -0.1, x, 4?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 637605671 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 31564 and 65.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = m**3 + 2*m**2 - 3*m + 2. Let s(i) = -i**2 + 2*i + 1. Let y be s(0). Let d be v(y). Let w(n) = -27*n**2 + n - 2*n - 29*n**2 + 57*n**2. Calculate w(d).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2884 and 28?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 95 + -288. Let b be (c\/(-3))\/((-44)\/(-33)). Let v = b - 49. What is the smallest value in -0.3, -12, v?\nAnswer: -12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 7975.447um?\nAnswer: 0.007975447","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (1890\/(-12))\/(6\/(-8)). Suppose h + 1122 = 6*c. Is c a multiple of 37?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 262, 339, 312, 181, -54, -393?\nAnswer: -836","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 10449700 to the nearest integer?\nAnswer: 3233","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 27988, 27961, 27910, 27829, 27712, 27553, 27346?\nAnswer: 27085","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1778 - 1778.6. What is the second smallest value in r, 0.2, 0.5, 8?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.2 (b) -5\/4 (c) 125 (d) -0.3 (e) -1\/5 (f) -6\/251\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2981\/2 - 1491. Suppose v - c = -3*v + 40, 4*c + 16 = 0. Let i = -2\/7 + -8\/21. What is the nearest to v in 0.2, g, i?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/2? (a) -3 (b) 4 (c) -4 (d) -4281.5 (e) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 987?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-10)\/20*-4 + 94. What is the highest common divisor of 128 and g?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = 3*s + 3. Let g be c(3). Suppose m + 8 = 3*t, -6*m + 3*m = 3*t - g. Suppose u + 5*o - 41 = -0*u, 0 = 2*u - t*o - 30. List the prime factors of u.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 416 minutes after 11:17 PM?\nAnswer: 6:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -h**5*z + 18574*h**4*z**2 - 1033*h**2*z**2 + 4*h**2*z - 3*z**2 wrt h?\nAnswer: -60*h**2*z + 445776*h*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = 2*s + 5 - 3*s + 0 - 2. Suppose -j = -3*j + 4*b + 22, -5*j = -3*b - 34. Calculate m(j).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -2\/5, -5, 0.01 in decreasing order.\nAnswer: 0.01, -2\/5, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*b**2 - 20156*b - 418258448.\nAnswer: 4*(b - 13051)*(b + 8012)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 38*i - 2291 = 977. What is the remainder when i is divided by 44?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h - 90 - 675 = 0. Calculate the remainder when h is divided by 32.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 16.8 - 19. Let r = s + 1.4. What is r rounded to zero decimal places?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 2, s: 2, b: 1}. Give prob of sequence su.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 f and 2 c when four letters picked without replacement from {b: 2, f: 5, o: 3, c: 3}.\nAnswer: 6\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 539 minutes before 2:05 PM?\nAnswer: 5:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3073167 is divided by 73170?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 782670 and 840?\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 184658998 divided by -139.\nAnswer: -1328482","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1968, -15726, -53074, -125808, -245724, -424618, -674286?\nAnswer: -1006524","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(14)*1*6 - ((sqrt(1134) - (sqrt(1134) + 2*sqrt(1134))) + sqrt(1134)))\/(-2*sqrt(32)*1).\nAnswer: -15*sqrt(7)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-10)*h**(5\/3)*h)\/(h\/(h**(1\/21)\/h))**(1\/7) assuming h is positive.\nAnswer: h**(-373\/49)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -362 divided by 11\nAnswer: -362\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -9131187, -18262364, -27393541?\nAnswer: -36524718","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of -3.935 and -0.4.\nAnswer: 1.574","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3*h**5 + 3*h**4 - 176*h**3 - 2524*h**2 + 125 wrt h?\nAnswer: 180*h**2 + 72*h - 1056","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = 147*l**3 + l**2 - 8*l + 16. Let b be w(2). Do 5903\/5 and b have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 3*(-352)\/12*(-4)\/16. Let g be 242\/14 - (-2)\/(-7). Let w = t - g. Solve -b = -2*b - w, -l - 18 = 4*b for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 45969189?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3377*z**5 - 850*z**4 + 3823834*z.\nAnswer: -67540*z**3 - 10200*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -2423 + -4?\nAnswer: -2432","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) be the third derivative of 5*w**8\/28 - w**7\/210 - w**4\/3 - 19*w**3\/2 - 534*w**2. Find the second derivative of q(s) wrt s.\nAnswer: 1200*s**3 - 12*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -y**2. Suppose -8*q - 12 = -14*q. Let r(f) = -6*f**2 + 0*f**2 + 5*f**q + 58 + 2*f**2. Calculate r(t(z)).\nAnswer: z**4 + 58","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wwcw when four letters picked without replacement from cwuuwuuwccccu?\nAnswer: 1\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 3\/5, 75, 3, 0, -2\/11, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand o**3 - 3 + 3 + (0*o**2 + 6*o**2 + 4*o**2)*(2 - 2 + 2*o).\nAnswer: 21*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -0.4 (b) 5 (c) 1 (d) -3204\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (11 + -7 + -36 - 9) + -19 + 14 + -5\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1145?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 2 + 27\/(-12) + (109687\/1596)\/23 and 89\/108.\nAnswer: 756","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.13 - -4.87. Let c = 79\/3 + -26. What is the closest to 0 in c, -4\/7, y?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 432?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -719 + 677. Let m(w) = w**2 + 15*w + 55. Let v be m(-5). Put 4, b, v, 0 in increasing order.\nAnswer: b, 0, 4, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -35.29 plus 2619069?\nAnswer: 2619033.71","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 33*j + 121*j = 41*j + 1130 for j.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kww when three letters picked without replacement from {w: 2, k: 4}?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (72*k - 124*k + 56*k - 284)*(0 + 2 + 4*k**2 - 7*k**2) to t*k**3 + j*k + u + s*k**2 and give t.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -4 + 58*q + 4 + 1. Let x be (1*(-4)\/14)\/((-1)\/7). List the prime factors of i(x).\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = 86*f + 1126. Give q(-13).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 2258402613 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: Let h(p) = p**3 - 8*p**2 - 11*p + 11. Let u be h(9). Which is smaller: u or -5?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g = -2*k - 16, 0 = 5*g - 498*k + 494*k - 36. Solve -18 = -g*p - 42 for p.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = 66*x**2 + 42*x + 24. What is the tens digit of r(9)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 854007 by 1.\nAnswer: 854007","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 4\/15*(-19780)\/6. Let j = u + 880. Let p = -31 + 32. Which is bigger: j or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a - 3 = 9. Let d be a\/12 - 11797\/(-3). Suppose 5*u - u = d. Is u prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1829271 < 1829266?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8\/6*(-270)\/72 + 11.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in three tenths of a litre?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (sqrt(378)\/sqrt(6))\/sqrt(9) + (-2 + 1*sqrt(700) + sqrt(700))**2.\nAnswer: -79*sqrt(7) + 2800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2247, -2313, -2385, -2463?\nAnswer: -2547","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 29 + -15. Let g = -15.079 + 0.079. Let u = x + g. Which is bigger: u or -0.08?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -18 + 18. Suppose j + j - 10 = l. Let c be j - (4 - (-3 - -5)). Solve c*w + 0*w = 0 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/4 in 300, 0.2, -0.06, -3\/4?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i - 21 = -6*i. Let k = 15 + -10. Suppose -51 - 14 = -k*b. Calculate the remainder when b is divided by i.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -461, -1036, -1993, -3332, -5053?\nAnswer: -7156","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve s + 3*x = 3*s - 16, 4 = 2*s - x for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00838110826 rounded to four decimal places?\nAnswer: -0.0084","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1596*r - 21 - 12*r - 41 + 0.\nAnswer: 1584*r - 62","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -169\/84 and -41\/3528?\nAnswer: 3528","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*-0.9503.\nAnswer: 0.9503","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 2038d47 - 3?\nAnswer: 2038d44","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is -2156832 != -2156832?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -s**3 - 13*s**2 + 20*s - 54. Determine r(-13).\nAnswer: -314","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -182, 2 in ascending order.\nAnswer: -182, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3479*p**2 + 3*p + 3*p - 6*p.\nAnswer: -3479*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*h + 3*f = -8, f = 2*f for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = 2*k + 2*h - 1, 0 = k - 2*h + 6. Let s = 15 + -15. Find the third derivative of g**5 + 2*g**2 + 0*g**k + s*g**2 wrt g.\nAnswer: 60*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 77\/(2\/1 + -3). Let g(q) = 6*q**2 - 83*q - 17. Let x be g(13). Let i = j - x. Solve i = -0*m - 5*m for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 25, 0.5, -1\/11, 0.2, 0.002?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -i + 9. Let k be n(7). Suppose 2*o = -k*q - 6, 4*o = o - q + 1. What are the prime factors of (o - -5) + -3 + -1?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 781 and 33.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = 2*c**2 + 39*c + 14. Let h = -476 + 446. Does 28 divide a(h)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 5687 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (6 - (-23 - -11)) + -12 + (9 - 58)\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 45 = 5*c + 4*o, -4*c + 2*o + 57 = o. What is the tens digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3.98000207 + 3.98. Round y to 6 decimal places.\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jsjzzbxsjxsbz. What is prob of sequence sxs?\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.582 rounded to zero dps?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 232797 to the nearest one thousand.\nAnswer: 233000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 132 minutes before 7:27 AM?\nAnswer: 5:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*z - 9*x + 13*x + 2235, 5*x + 3730 = 5*z. Is z a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 23 divide 414?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34*y + 809 = -211. What is the lowest common multiple of y and 630?\nAnswer: 630","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-3)\/3)\/((-3)\/15). Suppose a*g = 190 + 260. What are the prime factors of g?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 3700 and 14.9641.\nAnswer: 55367.17","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express (24*v + 21*v - v)*(v + 0*v + 2*v) - 3*v**2 - 2*v**2 + 4*v**2 in the form r + l*v**2 + o*v and give l.\nAnswer: 131","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 16 + 2 - (-4 - (-43 - (21 - 26)))?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w = 4*w - 1008. Let y = w + -120. What is the highest common divisor of y and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -c**3 - 162*c**2 + 1531*c + 296166. Determine n(-160).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-16)\/56 + 117196\/7?\nAnswer: 2, 11, 761","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-u - 4*u + 3*u)*(u + u - 4*u) + (3*u + 4*u - 5*u)*(1 + u - 1) - 4*u**2 + 8*u**2 - u**2.\nAnswer: 9*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -51064512 divided by -797883\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (15\/4)\/(6\/2256). What is b rounded to the nearest 100?\nAnswer: 1400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6443?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert -325 (base 10) to base 2.\nAnswer: -101000101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 6) in base 10?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -3*q**2 + 34*q + 2. Let b be o(10). Sort b, 4, -0.5.\nAnswer: -0.5, 4, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18486\/167 at most as big as 112?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = h**3 + 7*h**2 + 5*h + 8. Let t be g(-6). Let b = 1 + -6. Let f = t + b. Calculate the greatest common divisor of 45 and f.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 163673?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -84 + 426 = 2*j. Suppose -35*o + 449 + 181 = 0. What is the highest common divisor of j and o?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -49*j + 256. Let s(u) = 17*u - 86. Let l(h) = -7*s(h) - 2*v(h). Does 15 divide l(-15)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 2, i: 1, g: 4, j: 2}. Give prob of picking 1 i, 1 j, and 1 f.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 954 + -642. Let f be (0 - (-1)\/2)\/((-13)\/y). Suppose -i - 2*g = -9, 2*i + 4*g - g = 16. Sort -4, i, f in increasing order.\nAnswer: f, -4, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 27 + (11 - 10 - (56 + 1))\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3615 = 702*u - 717*u. Is u at most -257?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2\/4*(-319 - -323). Suppose 0 = 8*d - 9*d. Factor -v + d*a + 2\/9*a**2.\nAnswer: 2*(a - 3)*(a + 3)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 50945376 and 145836.\nAnswer: 152836128","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (153 - 339 - 464)*(-5*r - r + r).\nAnswer: 3250*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.05 in 2\/7, 4, 3\/2, 1?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1645242 to the nearest integer?\nAnswer: 1283","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = 4*m**3 + 1. Let s = -10 + 11. Give x(s).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (5*(0 + sqrt(432)) - sqrt(432)) + -3 - -6*(((sqrt(432) - sqrt(432)*-1)*4)**2 - (1 + -2*sqrt(432))).\nAnswer: 192*sqrt(3) + 165875","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f + 10 = 5*l - 6, -15 = -4*l + 3*f. Suppose -a + 7 = -w, l*a + 0*w - 5 = -w. Suppose 0 = -5*m + a*i + 326, -5*i = -m + 19 + 55. Is m a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.65 + 66754633.\nAnswer: 66754632.35","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -3211 (base 6) to base 14\nAnswer: -39d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -686254278 divided by 6\nAnswer: -114375713","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor 10571 - 10571 - 8*v - 12*v**2 + 4*v**4.\nAnswer: 4*v*(v - 2)*(v + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = q**3 + 3*q**2 - 6*q - 3. Let a be b(-4). Solve -4*k = 3*c + 11, -5 + 0 = -a*k for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -49*d + 44*d - 2*j + 1917, 0 = -3*d + j + 1159. Is 55 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1537474 is divided by 59129?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 24 and 108.\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = 8*k**2 + 3. Let i(w) = -15*w**2 - 5. Let p(j) = 3*i(j) + 5*z(j). Let l(q) = 3*q - 3*q + q. Give p(l(o)).\nAnswer: -5*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 324.04 - 324. What is the second smallest value in 3, -3, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:00 AM and 2:48 PM?\nAnswer: 588","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2337 + 2568. Calculate the greatest common divisor of g and 847.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-12)\/4)\/(-9))\/(47\/(-282)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) be the third derivative of 0*a + 1\/15*a**5 - 1\/21*a**8 + 0*a**7 + 0 + 9*a**2 + 0*a**3 + 0*a**4 + 0*a**6. What is the third derivative of j(b) wrt b?\nAnswer: -960*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -2*1\/4*12\/3. Let t = 6.03 + -0.03. Let u = t - 11. Put -3, x, u in increasing order.\nAnswer: u, -3, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**(-4))**34\/(l\/(l**(-22)\/l)*l**(-2\/47)))**(-4\/9) assuming l is positive.\nAnswer: l**(10024\/141)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -428 = 2*p + o, 3*p + 5*o - 1070 = 8*p. Let u = -4496\/21 - p. Which is the closest to u? (a) -3\/4 (b) -0.3 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = o**3 - 8*o**2 + 2*o + 3. Let b be 38\/(-14) - (-176)\/(-616). Let h(w) = -w**3 + 9*w**2 - 3*w - 4. Calculate b*h(a) - 4*m(a).\nAnswer: -a**3 + 5*a**2 + a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-2)\/(-1) + -4 - -1. Let w = -34330 + 34326. What is the third smallest value in w, j, 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = 7*k**2 - 2*k + 62. Let n(s) = -16*s**2 + 4*s - 125. Calculate 4*n(w) + 9*r(w).\nAnswer: -w**2 - 2*w + 58","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 299, 1191, 2083, 2975, 3867?\n\"Answer: 892*q - 593","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -b**6*c**2 + 358*b**6*c - 24*b**2*c**2 + 3 wrt b?\nAnswer: -120*b**3*c**2 + 42960*b**3*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 = -14*p - 97. Let t be ((-26)\/p)\/((-5)\/15). Calculate the remainder when 23 is divided by 3 - (3 + 1 + t).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -193.17 rounded to the nearest integer?\nAnswer: -193","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*u - 5*d - 10, 0*u + u = d + 3 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0001403 rounded to four dps?\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 9\/25? (a) -1 (b) 3 (c) 1 (d) 2\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ghgghmhmghgggghg. Give prob of picking 2 h.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hhchcfcachahfauhc. What is prob of sequence uc?\nAnswer: 5\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -8*f + 3*b - 7*b - 52, -f + 5*b + 10 = 0 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2210003?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -6*y**3 + 3*y**2 - 2. Let g(m) be the second derivative of m**5\/20 - m**4\/12 + m. Let j(l) = 3*g(l) + s(l). Find the first derivative of j(r) wrt r.\nAnswer: -9*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 2187.6111s?\nAnswer: 0.60766975","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-30)\/8 - 1\/4. Let m = -61 + 60. Let c be (69 - 10) + y\/m. What is the greatest common factor of c and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -730\/1057 and -2 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -24875 + 24879.0474. Let u = 0.0426 + k. Round u to zero dps.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -8*s**2. Let j(b) = 15*b - 5. Let l(a) = -8*a + 3. Let f(x) = -3*j(x) - 5*l(x). Let q(m) = -6*m. Let d(p) = 5*f(p) - 4*q(p). Calculate n(d(w)).\nAnswer: -8*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 32245 (base 6) to base 9.\nAnswer: 6052","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 - (1 + 2 - -2) - (13 + -6).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -4 and -0.752?\nAnswer: 3.008","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = 265*j - 318. Let z(w) = -w + 1. Let l(q) = -s(q) - 318*z(q). Let n(i) = -2*i**2. Give n(l(u)).\nAnswer: -5618*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*i**(-2\/7)*i\/(i*i*(i**(-1\/5)\/i*i)\/i)*i)**(-32)\/(i**(1\/3)\/((i**(-1\/2)\/i)\/i*i*i)*(i**4*i)\/(i**(-5)\/i*i)) assuming i is positive.\nAnswer: i**(-15139\/210)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*u**2 + 3447*u - 27768 = 0 for u.\nAnswer: -1157, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -4, 5, 8472954, -5?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 0.3, -124, -6\/5?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put 2301, 5, 3, 0, -3, -86 in decreasing order.\nAnswer: 2301, 5, 3, 0, -3, -86","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (2 - -18)*2\/5. Let k be 30*(3 - (-21)\/(-9)). Suppose 2*z = -3*q + 8 - 3, -k = 4*z. Solve c = -a + w, 3*a + 14 - 6 = q*c for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1216) + (-2 + sqrt(1216) + 5 - sqrt(1216)))**2 + 0.\nAnswer: 48*sqrt(19) + 1225","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -50 - -49. Sort -0.4, 0.97, u in descending order.\nAnswer: 0.97, -0.4, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c = -2 - 2, -580 = 3*v - 5*c. Let s = v + 1398\/7. What is the biggest value in -5, -0.09, 2, s?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 23*c**3 - 4 - 33*c**3 + 0 + 2*c**2 to the form g + u*c + s*c**2 + b*c**3 and give u.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -44*x + 39*x - 5 = 0 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*n + 5*n = -s + 4, 2*n - 7 = -s. Suppose w - 3 = 2. Suppose 0 = 4*k + w*b - 32, -s*k + 3*b + 11 = 2*b. What are the prime factors of k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -j**3 - j**2 - j + 3. Let m be p(0). Suppose 0 = g - 4*h + 14 - 2, h = -3*g + m. Let x(z) = -z**3 + z**2 + 46. Is x(g) a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = 0*r - 4 + 0 + 10*r + 1 + 0. Let n(f) = -2*f**2. Determine n(c(b)).\nAnswer: -200*b**2 + 120*b - 18","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = n**2 + 3*n - 2. Let s be q(-3). Let m = 11 + -6. Suppose 0 = m*p + 4*l - 2, -4*p - 1 = p + 3*l. Is p equal to s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1854 and 5827740?\nAnswer: 618","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-50)\/(-20)*((-4)\/(-1))\/2.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:58 PM and 9:46 PM?\nAnswer: 468","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-25972)\/(-688) + (1 - 3\/12*7)?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 424 and 607584?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence do when two letters picked without replacement from {o: 8, d: 1, g: 10}?\nAnswer: 4\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -11 - 5 + 300*g + 15 to k*g + n and give k.\nAnswer: 300","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -1 (b) -945 (c) -2\/21 (d) 9\/10\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lbppwlvdwpwwbwb. What is prob of picking 1 d and 1 b?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -210211 - -2?\nAnswer: -210203","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 12, y: 3}. Give prob of picking 3 i.\nAnswer: 44\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -14, -4, 3 in descending order.\nAnswer: 3, -4, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -213 - -212.999671. Round g to four dps.\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 101\/928 and 133\/36?\nAnswer: 8352","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -173 + 172.9. What is the closest to 0 in -1, 5\/7, b, -5?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1710)\/130 + -1 + 14.\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.3386 + -0.2886. Which is the second biggest value? (a) y (b) 2\/7 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 864 (base 9) in base 12?\nAnswer: 4aa","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -60*z**2 + 113*z**2 - 53*z**2 + 9*z + 186*z**3.\nAnswer: 186*z**3 + 9*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2 - -1110?\nAnswer: 1101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 689 minutes before 7:53 PM?\nAnswer: 8:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + (-3*sqrt(396)*5 - ((sqrt(396) - (sqrt(396) + -1)) + -4)))**2.\nAnswer: 180*sqrt(11) + 89101","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is d in 625*d**4 - 19712125*d**3 - 70969050*d**2 - 85165020*d - 34066440 = 0?\nAnswer: -6\/5, 31543","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = s - p + 6*p, -3*s - 4*p - 29 = 0. Let u be (-66)\/s - (-1 + 5). Let q = 6 + u. What is the units digit of q?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000122504558 to 5 decimal places.\nAnswer: 0.00012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) be the second derivative of 1083*f**4\/4 - 2063*f**2\/2 - 120*f. What is the first derivative of z(n) wrt n?\nAnswer: 6498*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -195*2.31.\nAnswer: -450.45","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 19112.\nAnswer: 2, 2389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (0 + sqrt(272))**2*6 + 5 + 2*sqrt(272) + -4.\nAnswer: 8*sqrt(17) + 1634","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) be the third derivative of -m**8\/1344 + m**6\/480 - 4*m**2. What is v in k(v) = 0?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -n**3 + n**2 + n - 8. Let q be r(0). Let w(l) = -5*l - 1. Let o(g) = 14*g + 2. Let s(z) = -4*o(z) - 11*w(z). Is 4 a factor of s(q)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:54 PM and 7:53 AM?\nAnswer: 539","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*z = 2*t - 64 - 2, -15*z + 16*z - 7*t = -49 for z.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -13*x - 283248 - 806*x**2 + 283248 to i + r*x + v*x**2 and give r.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -2 - 6*k + 17*k**3 + 3*k + 8 - 11*k**2. Let y(n) = 6*n**3 - 4*n**2 - n + 2. Let d(z) = -z**2 + 5*z + 4. Let v be d(0). Determine v*h(m) - 11*y(m).\nAnswer: 2*m**3 - m + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 898322899, 1796645800, 2694968701, 3593291602, 4491614503?\n\"Answer: 898322901*y - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 772314340 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4 - 3 + 69*h**4 - 75*h**4 - 6*h**2 to m*h**4 + g + z*h**3 + b*h + x*h**2 and give g.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 95 a factor of 7607444?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = 3*d**2 - 7*d - 3. Let i(t) = 2*t**2 - 6*t - 2. Let s(g) = 4*h(g) - 5*i(g). Let r be s(-4). Let a = r + -15. What is the units digit of a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1.39 times -4\nAnswer: -5.56","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*v + 6*c - 3867 + 3967, -3*v - 5*c + 122 = 0 for v.\nAnswer: 44","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = y + 3*d + 2*d + 43, 2*y + 3*d = -51. Let x be (-48)\/y*(-2 - 14\/(-4)). Solve 3*r - 1 + 11 = -4*v, -2*r = -x*v - 20 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 + 0 - 2*n)*(-2*n - 4 + 4)*(-1 + 1 - 6)*(-2 - 2 + 5) to z*n + b*n**2 + l and give b.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 497 is divided by 167?\nAnswer: 163","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 365 divided by -5\nAnswer: -73","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -104*h - 330 = -300*h + 178*h + 822 for h.\nAnswer: 64","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -78 divided by -13\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*r = -0*g + 2*g - 3, -r = -2647*g + 2644*g - 12 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 453071 is divided by 16?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Determine r, given that 2\/15*r**3 + 2\/15*r**5 + 0*r**2 + 0*r - 4\/15*r**4 + 0 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 67 is divided by 18.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 232876?\nAnswer: 2, 7, 8317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*n**3 - n**3 - 7*n**3 - 1669*n**2 - 100*n**2.\nAnswer: -6*n**3 - 1769*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10113243.\nAnswer: 3, 7, 439, 1097","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (58\/(-3))\/(22\/33). Let s = -17 - r. What are the prime factors of s?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (1 + -1)\/(0 + -1). Let o = -455 + 452. List the prime factors of o*(7\/(-1) + u).\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2057291 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 76610 is divided by 214.\nAnswer: 212","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:43 AM and 11:59 AM?\nAnswer: 496","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -5891*q**2 - 1371 + 367*q**2 - 2768 wrt q?\nAnswer: -11048*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + 3*s - 1700 = -12175, -2*r = s - 10455. What is r rounded to the nearest ten thousand?\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 11965748?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -24, 5, 4, 26, 3.\nAnswer: -24, 3, 4, 5, 26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + 23 = i, 5*i + s - 79 = -2*s. Suppose -6*n = -3*n + 4*b - 75, 0 = 4*n - 5*b - 100. Calculate the remainder when n is divided by i.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 - (1 - 0 - -6 - (-87 - (-45 + -12)))?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 (base 6) in base 11?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3 - 2 = t for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 7\/84*(-102)\/68\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (((-2)\/(-30)*-1)\/(-3))\/(345\/(86940\/(-168)))\nAnswer: -1\/30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25*c - 2*d + 0*d + 275 = 3*d, -2*d + 76 = 9*c - 2*c for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 179*g = 2619 + 3458 + 2515 for g.\nAnswer: 48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.0383 - -11.0383. What is the nearest to -1 in 3, -2, -0.08, p?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-98)\/686)\/(1\/(-7)) - 1\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 34 - 30. Suppose -4 = 2*p - 6*p, q*b - 182 = -2*p. What are the prime factors of b?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find w such that 3*w**3 + 63*w**2 + 294*w + 360 = 0.\nAnswer: -15, -4, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put together 138 and 17246.7.\nAnswer: 17384.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 730 and 70?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qd when two letters picked without replacement from {q: 2, d: 1}?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -272*z + z**2 - 234*z - 128*z to the form k*z + t*z**2 + b and give k.\nAnswer: -634","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) be the second derivative of a**3\/6 + 3*a**2\/2 + 28*a. Find the first derivative of y(i) wrt i.\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s = -4*l + 18, -22 = -3*l - s - 11. Let y(z) = 4*z - 4. What is y(l)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-11)\/((-9 - -18) + -10).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -5.3 - -5. Let m = -375.2 + 379.2. Put 0.1, p, -0.4, m in decreasing order.\nAnswer: m, 0.1, p, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1493537441 divided by -73\nAnswer: -20459417","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3*c**2*l**3 + 271*c**2*l - 2791*c**2 wrt l.\nAnswer: 9*c**2*l**2 + 271*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 24497.\nAnswer: 11, 17, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 445 minutes before 2:20 PM?\nAnswer: 6:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -a**2 + 9*a - 6. Let j be u(10). Let s be (j\/(-12))\/((-1)\/(-36)). Let r = s - 25. What is the units digit of r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2474143 (base 10) in base 11?\nAnswer: -143a951","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) be the second derivative of -a**5\/60 - a**4\/4 - 3*a**3\/2 + 2*a**2 + 3*a + 6. Let b(g) be the first derivative of v(g). Factor b(x).\nAnswer: -(x + 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 388000817 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19*t**2 - 4*t**3 + t**3 - 18*t**2 + 4*t**3.\nAnswer: t**3 - 37*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) be the third derivative of -z**7\/210 - z**6\/24 + z**5\/30 + z**4\/6 - 6*z**2 - 2*z. Find the third derivative of g(s) wrt s.\nAnswer: -24*s - 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8978344?\nAnswer: 2, 31, 41, 883","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 34739*d - 19313*d - 18733*d.\nAnswer: -3307*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10 - 1 - 8 - -1.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 94 is divided by 65?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*x**3 - 5*x**2 + 14611344*x + 296139121 with respect to x.\nAnswer: -6*x**2 - 10*x + 14611344","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1360 and 424400?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 7, k: 2}. Give prob of sequence kww.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -43 = -4*t - 0*t - 3*c, 0 = -5*t - 2*c + 59. List the prime factors of t.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -31*z + 816. Let f be j(26). Solve 2*m = -4, -7*v + f = -11*v - 3*m for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + 84 = -z. Suppose 17 = 2*n + 75. Let y = z + n. What is the units digit of y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*k + 2*k + 8 = 0. Suppose -s = 2*y - 12, -y = 2*s - 27 - 9. Let r = s - k. Is r a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4210?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 411 at most -14871?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert -8 (base 11) to base 5.\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l\/((l*l\/l**(-2))\/l))\/l*l\/(l*(l**(-8\/5)*l)\/l)*l)**(39\/2) assuming l is positive.\nAnswer: l**(-39\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 675428 and 78?\nAnswer: 2026284","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1150571*v + 575288*v + 575019*v.\nAnswer: -264*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 158.7197ml to litres.\nAnswer: 0.1587197","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -k**3 - 41*k**2 - 97*k - 769. Calculate d(-39).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-334)\/76 - (-504)\/112.\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 500198714 to the power of 1\/2, to the nearest integer?\nAnswer: 22365","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) be the first derivative of -3*m**2\/2 - 2. Let g(x) be the second derivative of -x**3\/6 + 5*x. What is g(s(p))?\nAnswer: 3*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*h + 6*h + 2*h**3)*(-2*h + 2 - 2) + (-3*h + 0*h + 5*h + (4*h - 5*h - 3*h)*(-2 + 1 - 6))*(0*h + 0*h + 6*h**3).\nAnswer: 176*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -5892525 or -5892521?\nAnswer: -5892525","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 448 minutes before 10:51 PM?\nAnswer: 3:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 422 a factor of 8386828?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 18 - 25. Let g = 4 + s. Let k = 698 + -702. What is the second biggest value in g, -1, k?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of (-1022212)\/(-736) - 1\/(-8)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 <= 5\/383?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*h**3 + h**3 - h**3)*(3 - 2 - 2) + 1 - 4*h**3 - 1 + (3*h**2 + 2*h**2 - 4*h**2)*(3*h - 2*h + h) + 3*h**3 - h**3 - 4*h**3 + 19*h**3 - 1 - 21*h**3 + 8.\nAnswer: -4*h**3 + 7","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*v - 23 + 13 + 40 for v.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = h + 11. Let c(w) = w + 2. Let a(d) = -6*c(d) + z(d). Let v be 1\/3 - (-1)\/(-3). Let o = 1 - v. Determine a(o).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 105414 divided by -3\nAnswer: -35138","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = 5*s - 12. Give d(18).\nAnswer: 78","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = p + 9. Let l be g(6). Let z be (-46)\/(-14) + (-4)\/14. Solve -z*c - 2*c = -l for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -343984917, -343984919, -343984921, -343984923, -343984925, -343984927?\n\"Answer: -2*r - 343984915","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/5 of a tonne in kilograms?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3*g**2 + 25807 - 25805 + 1667*g**3 + 366*g - 3*g**2 wrt g.\nAnswer: 10002*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 z when four letters picked without replacement from {z: 7}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -427*x - 195*x - 17799 = -1627 for x.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -391*p**3 + 659*p**2 - 659*p**2 + 25*p - 25*p.\nAnswer: -391*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mmmzozmbzbbzmmzmzmzb. Give prob of sequence bb.\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3\/7? (a) -0.02 (b) 0.2 (c) 0.4 (d) 15\/2 (e) -3 (f) -37\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 29\/2 of a day in hours?\nAnswer: 348","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 411683 is divided by 143?\nAnswer: 129","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = 340*m**2 + 262*m + 3. Is c(10) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -n**5 - 4409065*n**2 + 44*n + 7436.\nAnswer: -20*n**3 - 8818130","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 + (16 - (2 - -6)) + 7.\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 10589 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 33\/14 - -125\/42. Is 4 at least as big as p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 655650690?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 2100 (base 7) in base 13?\nAnswer: 447","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 734041773?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = j**3 + 8*j**2 + 9*j - 15. Let n be g(-6). Solve x = -2*f - n*f + 13, -8 = -2*f + x for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = 3*x - 7*x, 2*w + 4*x - 92 = 0. Let v = w - -74. What is the highest common factor of v and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -35*g + 36. Give d(-1).\nAnswer: 71","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -t**3 + 11*t**2 + 4*t + 120. Calculate the least common multiple of 12 and h(12).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -798 + 1491. Is 9 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.07, -2, -4\/9?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 22429605 and 1320?\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from msmsm. What is prob of picking 1 s and 1 m?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 3, 0.2, 2, 0.04, -8, -985 in increasing order.\nAnswer: -985, -8, 0.04, 0.2, 2, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -28817 or -28813?\nAnswer: -28817","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: Round 27085784.67 to the nearest 100000.\nAnswer: 27100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 10*i - 6*i - 3*j - 15, -4*i + j + 5 = 0. Let k be ((-2)\/(-14))\/(1\/3). What is the closest to 2\/5 in -0.3, i, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 6129564 to the nearest integer?\nAnswer: 2476","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -38*h**2. Let o(t) be the third derivative of t**4\/24 + 38*t**2. Give o(d(b)).\nAnswer: -38*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 10455 + 1015?\nAnswer: 11514","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find x, given that -2*x**5 - 394*x**4 - 17468*x**3 + 199636*x**2 + 450110*x + 233398 = 0.\nAnswer: -103, -1, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1224737 is divided by 174961?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w + 53 = -22. Let q = -16 + w. Let b = 942\/5 + -189. Sort -5, q, b in increasing order.\nAnswer: -5, q, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -38*k - 213. Let x be i(-6). Suppose 34 = l + p + x, -3*p + 43 = 2*l. Which is the nearest to 0.3? (a) 2 (b) 3 (c) l (d) 0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10854 is divided by 1769.\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = 2328342*t. Let i(d) = 35*d. What is i(h(x))?\nAnswer: 81491970*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1281*u + 1287*u + 18 = 0. Let w = -14.6 - -1.6. What is the second smallest value in w, 0.1, u, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3334 + 3328. Which is the closest to -0.2? (a) -4 (b) v (c) -49\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -108, -111, -102, -75, -24, 57, 174?\nAnswer: 333","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -3868*w + 15255. Determine t(4).\nAnswer: -217","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-11*r + 0*r**3 + 2*r**3 - 18*r)*(4*r + 0*r - 5*r) to the form a + s*r**2 + v*r**3 + f*r**4 + j*r and give f.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 20856 at least 20849?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 282 (b) -0.5 (c) 5 (d) -0.12 (e) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 3, 29\/877, -0.5, -503?\nAnswer: 29\/877","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:57 PM and 12:35 AM?\nAnswer: 38","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 - (-13 + (-16 - (-18 - 2))).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 10*d**2*h + 3*d**2 + 435*d*h + 5*d - 60*h + 4764 wrt d?\nAnswer: 20*d*h + 6*d + 435*h + 5","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4)\/5*((-14415)\/(-248))\/(27\/288*8).\nAnswer: -62","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -30 - (18 + (25 - -1) + -27)\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 34\/741 and 16\/59043.\nAnswer: 14583621","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 144 = 10*i + 54. Let n(u) = 8*u**2 + 0*u**3 + 15 + 14*u - u**3 - 3*u. List the prime factors of n(i).\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) be the third derivative of -3*f**7\/70 + 31*f**6\/40 + 73*f**5\/10 + 29*f**4\/2 - 28*f**3 + 1347*f**2. Let j(m) = 0. Calculate m.\nAnswer: -2, 1\/3, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**3\/((k\/(k\/(((k\/((k**(-3)*k*k)\/k)*k)\/k)\/k)))\/k)*k**1\/(k*k*k\/(k**(-1)*k)) assuming k is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 605440847?\nAnswer: 11, 55040077","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 6372 - 44606\/7. Which is the third smallest value? (a) 777\/5 (b) 1\/2 (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 373 - 368. Suppose 2*b - 2 = 0, -2*a - v*b = 3*a - 75. Solve 4*y + a = -4*h - h, 3*y - h + 1 = 0 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:30 AM and 4:46 AM?\nAnswer: 136","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*z**2\/7 - 18682*z\/7.\nAnswer: 2*z*(z - 9341)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 1116959 to the power of 1\/2, to the nearest integer?\nAnswer: 1057","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 3, o: 2, d: 4, s: 1, b: 2}. Give prob of sequence wo.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 4, j: 14}. Give prob of picking 3 i.\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 52367450 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -t**2 + 95344*t - 59952055. Determine h(633).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/11, -13, 6397\/5, -4 in increasing order.\nAnswer: -13, -4, 1\/11, 6397\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rrr when three letters picked without replacement from {g: 3, j: 1, r: 3}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u**4 + 320128*u**3 - 25620804221*u**2 + 51240327938*u = 0. Calculate u.\nAnswer: 0, 2, 160063","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 252 minutes after 1:53 AM?\nAnswer: 6:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1991213142?\nAnswer: 2, 3, 31, 151, 2287","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28*x = -15*x - 1092. What is the remainder when 166 is divided by x?\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -24 - -2?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 245 - 650*y - 245.\nAnswer: -650*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c - 11 + 15 = 0. Let y be -2 + -6*(-7)\/21. Solve c*i + 3*i = y for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*h - 150 = -2*o - 2*h, 0 = -o + h + 75. Let m = 143 - o. Suppose -l + m = -7. What is the greatest common divisor of l and 25?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*l - 35 = 2*l for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-35)\/20 - -1)\/(33\/(-8)). Factor 4\/11 + n*m**2 - 6\/11*m.\nAnswer: 2*(m - 2)*(m - 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-28*l + 9*l + 26*l)*(1 + 0 - 4) + 2*l - 4*l - l.\nAnswer: -24*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/(-3)*28\/7?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2447471 by -14.\nAnswer: -2447471\/14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in fourty-nine quarters of a minute?\nAnswer: 735","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 25679, 102579, 230761, 410237, 641019, 923119, 1256549?\nAnswer: 1641321","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -k**2 - 13*k + 32. Give j(-16).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 31*-2.\nAnswer: -62","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 209? (a) -3\/2 (b) 1\/2 (c) -136\/35 (d) 16 (e) -0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) be the second derivative of -49*u**6\/15 - 135*u**2\/2 - 165*u. Differentiate s(j) with respect to j.\nAnswer: -392*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zpp when three letters picked without replacement from {z: 7, p: 9}?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = 86*b - 343. Let m be w(4). What is the third smallest value in 4, m, -0.2, 13?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1424825 < -1424825?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 38.6 - 39. Let r(k) = 2*k**3 + 56*k**2 + 57*k + 77. Let y be r(-27). Let j = -3.4 + -0.6. What is the nearest to j in -3\/8, h, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 7*c**3*i*w**3 + 82*c**3*w + 2*c*i**3*p + c*p*w**3 + 4*i**3*w**3 + 2*i*w**2 + 2*p wrt w?\nAnswer: 42*c**3*i + 6*c*p + 24*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in seven quarters of a microgram?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.0284 + -0.04. Let t = -53.1884 + z. Let m = t - -53. What is the closest to -3 in -0.4, m, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 100607?\nAnswer: 13, 71, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -v + 21 = 3*i + 2*v, 4*i - 5*v = -8 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 714925 by -2.\nAnswer: -714925\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-2\/11)*y)**(8\/9)*(y**(-1\/2))**(4\/9) assuming y is positive.\nAnswer: y**(50\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 143488799 to the nearest integer?\nAnswer: 109","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -m**2 + 6*m - 2. Determine i(4).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 28 + (39 - 60) + (-12 - 1)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(5 + 0 + sqrt(704)))**2.\nAnswer: 2000*sqrt(11) + 18225","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d, 1 y, and 1 g when three letters picked without replacement from ddkdggygykdgyyg.\nAnswer: 16\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = c + 1. Let n(j) = 5*j**3 - 3*j + 3. Let g(m) = -n(m) + 3*v(m). What is the second derivative of g(z) wrt z?\nAnswer: -30*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -36 + -21. Let k = 53 + j. Let q be 2\/((-14)\/4 - k). Calculate the greatest common factor of 5 and q.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26*c = -17*c + 108 - 9 for c.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is r in 90*r + 4*r**3 + 643*r**2 + 83*r - 359*r**2 + 35*r - 352*r**2 = 0?\nAnswer: 0, 4, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = c**3 + 3*c**2 - 4*c + 1. Let l be d(-4). Let n = 5\/58 - -235\/638. Let f = n - 3\/55. Which is bigger: f or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 2, c: 5, r: 3, o: 2}. What is prob of sequence rccd?\nAnswer: 1\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 24359220.\nAnswer: 2, 3, 5, 135329","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + -1 + 5 + -2 - 5?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -0.065 times 0.4\nAnswer: -0.026","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7192*i**3 - 315 - 70 + 7193*i**3 to x*i + d + f*i**2 + a*i**3 and give a.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 7675 - 7675.16603. Let c = j + 0.167. Round c to four dps.\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*((sqrt(1100) - -4*sqrt(1100)) + -2 + 1) + 0)**2.\nAnswer: -2500*sqrt(11) + 687525","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 48 and 93649956?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 166 is divided by 89?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*y**3 + 2546035*y**2 - 96743915*y + 919050045.\nAnswer: -5*(y - 509169)*(y - 19)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 + (-7 - -20599) - (5 + 2) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -59 + 68. Solve f + d = -n, 3*f = -0*n - 2*n - 23 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-882)\/(-21) + 0\/1?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 407 a multiple of 37?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -317 = 3*h - 122. Let g = -4784 - -4784.4. Which is the second biggest value? (a) h (b) g (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find g such that 5*g**2 + 6939290*g + 409400705 = 0.\nAnswer: -1387799, -59","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -j**3 + 53*j**2 - 490*j - 253. Determine w(41).\nAnswer: -171","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 577852?\nAnswer: 2, 11, 23, 571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -i**2 + 6*i - 1. Let j = 5 + -3. Let f be j\/(-5) + 27\/5. Calculate n(f).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q = 14*d - 19*d - 15468, 0 = -4*d - 3*q - 12375. Suppose 4*r = 5858 + 33714. Let p = d + r. What is p rounded to the nearest 1000?\nAnswer: 7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 1, j: 2, h: 11}. Give prob of sequence hrhj.\nAnswer: 5\/546","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -37, -209880, 1\/3 in ascending order.\nAnswer: -209880, -37, 1\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = 2*z - 18. Let i(l) = 2*l. Determine s(i(k)).\nAnswer: 4*k - 18","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 145 divided by 1?\nAnswer: 145","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 20118 and 12.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-22)\/(-6) - (-2)\/(-3). Let l be 56\/(-49) + 3\/(126\/258). Sort x, 1, -4, l in decreasing order.\nAnswer: l, x, 1, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b - 437 = -3*h, -2*h = 2*h - 5*b - 621. Calculate the remainder when h is divided by 25.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -618341 at least as big as -4328392\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4730, 9448, 14166?\nAnswer: 18884","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 34 divide 33203?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v - 5*d - 4 = -4*d, 5*v - 20 = 2*d. Which is the nearest to -1? (a) 0.5 (b) -2 (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*w + 0*w - w - 90 + 41 + 43 + 5*w + (3*w - 2*w + w)*(3 + 2 - 4).\nAnswer: 8*w - 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -214*l + 165*l + 1715 = 0 for l.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -1 + -1 + 3 + 1. Suppose -3*o = -2*o - w. Let z(h) = 3*h - 4. Let t(j) = -4. Let a(m) = t(m) - z(m). What is a(o)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = 18*v - 2090. Let w(u) = 4*u - 418. What is -3*l(f) + 14*w(f)?\nAnswer: 2*f + 418","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of ((-6)\/(-14))\/((-160)\/(-980)) and -17\/14.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4.7, -1124, 1\/4 in increasing order.\nAnswer: -1124, 1\/4, 4.7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2*(2 + -1) - -1. Let j = 33 + -32.9. Which is the nearest to -1? (a) d (b) 0 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -11279*-613\nAnswer: 6914027","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -19*k + 1. What is r(-3)?\nAnswer: 58","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 269 - 264. Let j(s) = s**2 - 1. Let w(m) = 12*m - m**3 + 0*m**2 - m**2 + 1 - 12*m. Determine v*j(t) + 5*w(t).\nAnswer: -5*t**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.943 + -1919.863. Round f to the nearest ten.\nAnswer: -1920","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.16 + -0.21. Sort 2, 1, f.\nAnswer: f, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in seventeen tenths of a kilogram?\nAnswer: 1700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 3055202 and 62002.\nAnswer: 88600858","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s + 14 = -0*s. Suppose -11*c + s*c = -16. Let i = -2 + 4. Put -1, i, c in descending order.\nAnswer: c, i, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.126095 millennia in centuries?\nAnswer: 51.26095","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = r + 38*r - 5655000. What is r rounded to the nearest one million?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19347203 a multiple of 748?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -918, -719, -530, -357, -206, -83, 6, 55?\nAnswer: 58","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -7731, -15461, -23205, -30969, -38759, -46581, -54441, -62345?\n\"Answer: -y**3 - y**2 - 7720*y - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -147404, -147464, -147564, -147704, -147884, -148104, -148364?\nAnswer: -148664","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aadu when four letters picked without replacement from adaaaduuaudaudau?\nAnswer: 1\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 45530b (base 12) to base 15.\nAnswer: 16d4cb","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (26\/468*-15*6\/100)\/(98\/735).\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 329.\nAnswer: 7, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = i**3 + 18*i**2 + 2*i - 1. Let n be a(-18). Let d = -76 - n. Let g = d + 49. What is the units digit of g?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 3 + 14578?\nAnswer: 14582","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (140\/(-42))\/((-2)\/3). Let m(b) be the third derivative of -1\/9*b**3 + 0*b + 1\/360*b**6 + 2*b**2 - 1\/72*b**4 + 1\/90*b**w + 0. Solve m(j) = 0 for j.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -87210 (base 10) to base 2\nAnswer: -10101010010101010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.03, -4, 4, -40, -4\/99, 2?\nAnswer: -4\/99","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -10.3 - 1.7. Let m = k + 12. Let f = m + -0.2. Sort f, -5, 0 in descending order.\nAnswer: 0, f, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) be the third derivative of -u**5\/6 + u**4\/24 - u**3\/6 - 14*u**2. Let j = -9 - -10. Determine r(j).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hwgewgweea. Give prob of picking 3 e and 1 h.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(240)\/sqrt(4))\/sqrt(2))\/(sqrt(90)\/sqrt(144)).\nAnswer: 4*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 2416 to the power of 1\/8, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5289 is divided by 9?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/(-2)*(-32 - (-7144)\/235)\/((-10)\/75)?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*l + 3*a + 303 = 306, 3*a - 27 = 3*l for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 406 minutes before 5:22 AM?\nAnswer: 10:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -r - d - 701 + 671 = -5*r + d - d, -5*d - 14 = -3*r for r.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 3 + 1101?\nAnswer: 1110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 4\/6*((-159)\/54 - -3). What is the third biggest value in 2, 1, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3006 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -872 + 1592. Suppose -6*i + r = -i. What is the units digit of i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 451.1425 weeks?\nAnswer: 75791.94","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -3973*n + 27830. What is j(7)?\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -3 - -7. Let d = -3 + b. Let q(n) = -2 + n**2 - 5*n - n**3 - d + 1 - 7*n**2. What is q(-5)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2152050 divided by 358675.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 53549 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (315\/126)\/((-2)\/(72\/5))?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = 2*z**3 - 4*z**2 + z + 2. Let u be (-18)\/(-4)*(-4)\/(-6). Suppose -g + 5*i = u*g + 12, g - 3*i = -10. What are the prime factors of v(g)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*a + 12*x = 14*x - 81, 5*x = 15 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 7069 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1 + -21201010000?\nAnswer: -21201010001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b = -5*f, 9 + 9 = -2*b - 4*f. Let c(k) = 3*k**2 + 4*k - 1. Let o(l) = -4*l**2 - 3*l + 1. Give b*c(g) - 6*o(g).\nAnswer: 9*g**2 - 2*g - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 955 to the power of 1\/2, to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -5\/4 (b) 9 (c) -1\/4 (d) 1.5587 (e) 0.33\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 613620 < 613671?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -3 + 43033223121?\nAnswer: 43033223113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 44? (a) -9 (b) 2 (c) 78 (d) -4 (e) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Determine o so that 3*o**3\/7 - 201*o**2 + 165672*o\/7 - 164268\/7 = 0.\nAnswer: 1, 234","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 770778368?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (6*p - 2*p + 2*p)*(-6 + 44 - 219)*(-24 + 24 + 22*p) to the form w*p**2 + q + k*p and give w.\nAnswer: -23892","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -s**3 + 4*s**2 + 5*s - 4. Let p be n(4). What is the greatest common divisor of p and 48?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-3\/5)*((d*d**(-3\/2))\/d)\/d*d**(-2\/17)\/d*d*d*d**(-4\/3)*d)\/(((d**2\/d)\/d)**(-10\/13))**(-2) assuming d is positive.\nAnswer: d**(-1301\/510)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -4*b - 9. What are the prime factors of v(-11)?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b = 2*o - 42, 3*o - 52 - 11 = 4*b. Is 9 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1359*i = -3946 - 6926 for i.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -139 = 3*s - 211. Suppose 278 = 5*k - 4*c, -3*c = 4*k - 0*k - 210. Suppose 4*f + 2*f - k = 0. Solve 4*g = l - f, 4*l - g = 3*g + s for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1378 and 2652?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 65.3 + 16.7. Let i be ((-17576)\/(-1248))\/(-169)*3\/2. Sort 0.2, 2\/11, i, x in descending order.\nAnswer: x, 0.2, 2\/11, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v\/(v\/(v*(v*v**(-39))\/v))*v**5\/v assuming v is positive.\nAnswer: v**(-34)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = m**2 + 12*m - 23. Suppose 10*r - 7*r - 5*s = -62, 4*s = -5*r - 54. Let w = -14 - -27. Calculate the least common multiple of f(r) and w.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*a - 48*a - 7 + 95*a + 7 - 39*a.\nAnswer: 2*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -f**2 + 49*f + 1. Let j be d(49). Sort 2, 17, -3, -2, j in descending order.\nAnswer: 17, 2, j, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) be the third derivative of g**8\/168 - 11*g**7\/105 + 31*g**6\/60 - 17*g**5\/30 - 8*g**4\/3 + 28*g**3\/3 + 503*g**2. Let j(p) = 0. What is p?\nAnswer: -1, 1, 2, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t - 15 = 0, i + 11 = 4*t - 8. Solve 8 = -5*u - 3*o, i - 3 = 2*o for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/(l**(-7)\/l)*l*l\/((l*l**6)\/l))\/(l**(2\/5)*l*l)**(-47) assuming l is positive.\nAnswer: l**(589\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) be the first derivative of t**2\/2 + 8*t - 19. Give r(-5).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0044235 rounded to four decimal places?\nAnswer: -0.0044","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or 34\/25?\nAnswer: 34\/25","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide 15 by 234.\nAnswer: 5\/78","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(104) - 2*sqrt(104))\/sqrt(2) + sqrt(52))\/((sqrt(16)*2)\/sqrt(4)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 11340?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 - (1 + (-3 + 2 - 0))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (38\/(-14) - -3)\/(136482\/602). Does -3 = c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -23530540 divided by 5.\nAnswer: -4706108","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*f**3 - f**4 - 2*f**3)*(2064 + 1673 + 1677)*(5 - 5 + 2*f).\nAnswer: -10828*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 20707 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-9 + 9*o**2 + 9)*((-2 + 1 + 2)*(o + o + 2*o) - 4*o + 2*o + 3*o + (-4*o - o + 4*o)*(0 - 3 + 1)) to g + d*o**2 + x*o + a*o**3 and give a.\nAnswer: 63","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y + 38 = 2*y + 5*m, -3*y - 5*m = 58. Let s = y + 12. What is the biggest value in -2\/9, -1, s?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -8*c**3 + c**2. Let u = -1 + -5. Let v(y) = -y**3. Let o(z) = u*v(z) + r(z). Find the third derivative of o(w) wrt w.\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = 4*p. Let s = 8 - 26. Let o(t) = t - 1. Let r(w) = 10*w - 9. Let n(a) = s*o(a) + 2*r(a). Determine n(c(y)).\nAnswer: 8*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 1\/6 (b) 12\/7 (c) -1 (d) 0.1 (e) -2\/37 (f) -6\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) be the third derivative of u**4\/24 + 3*u**2. Let s(p) = 0 - 2*p + 2 - 1 + 5*p. Calculate -2*s(r) + 7*w(r).\nAnswer: r - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -11 - -24. Let h be 2\/x + 16\/65. What is the closest to h in -1, -5, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 124 + -119. Suppose d*p + 2*f = 6839, 2*p - 1881 = 2*f + 849. Is p a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 33, 212\/3, 12, 3\/8?\nAnswer: 12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -0.14, 746, 4\/3, -6\/11, -1\/3?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 5514 - 5372.04. Let t = f - 142. Let p = 11 + -6. Which is the biggest value? (a) -5 (b) p (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.039892846 rounded to 4 decimal places?\nAnswer: -0.0399","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = k + 9. Let v be j(-11). Let i = 0.06 + -4.06. Let a = -70 + 75. Put i, v, a in decreasing order.\nAnswer: a, v, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-1224)\/(-15) - ((-6)\/(-10) + 5 - 5). What is the highest common factor of n and 57?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -2812.1167 to the nearest ten.\nAnswer: -2810","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 23066*l*t*y - 195*l*t + 2*l*y + 98*l - 1552*t*y + 94*t + 4 with respect to y.\nAnswer: 23066*l*t + 2*l - 1552*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 55019298?\nAnswer: 2, 3, 1453, 6311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -357*c**2. Let r(l) = 108731*l**2. Calculate r(x(p)).\nAnswer: 13857657219*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14 + 827*u + 11 - 2 + 5.\nAnswer: 827*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 889729 (base 11) to base 7.\nAnswer: 15025154","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 1, 71, -2\/3, -7?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -28168*p - 27994*p + 56162*p + 25*p**2 + p**2.\nAnswer: 26*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_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: What is -216933 minus 1?\nAnswer: -216934","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express 38 + 33 + 38 + 1932*u**2 - 139 + 32 as y + p*u**2 + b*u and give y.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (4648\/(-20))\/((-23)\/4140)?\nAnswer: 2, 3, 7, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 + -10 + 6 + -4.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find a such that 2*a**5\/9 - 4*a**4\/9 - 82*a**3\/9 - 124*a**2\/9 + 80*a\/9 + 128\/9 = 0.\nAnswer: -4, -2, -1, 1, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f = 2*f - 15. Solve -2*q = -a - 3, -3*a = -0*a - f for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (1 - 2)*((-21924)\/(-4) - -1). Let c be ((-4)\/42)\/((-18)\/1034262). Let v = c + o. Are v and -11 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 176046 and 3.\nAnswer: 528138","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand -7*y + 3*y - 2*y + (-3*y + 2*y + 0*y)*(-1 - 18 + 7) - 6*y - 7*y + 3*y.\nAnswer: -4*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y**2\/4 + 565*y\/4 + 585 = 0. Calculate y.\nAnswer: -4, 117","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 34 divide 127?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 6820?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 7.7 - 2.7. Which is the biggest value? (a) 0.1 (b) 2\/19 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -226637 + 1576?\nAnswer: -225051","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from tzudztt. What is prob of picking 1 d, 1 u, and 1 z?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 32*f + 145*f**2 - 1 - 9*f - 14*f - 10*f to i*f**2 + a + g*f and give a.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v, 1 z, and 1 s when three letters picked without replacement from sivvizzzzivsviiizi.\nAnswer: 5\/102","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 5.3 + -5. Let o = x - 0.30000001. Round o to 7 decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (5\/(-1))\/(4\/(-4)). Suppose 18 = -62*f + 53*f. Put f, c, -8 in ascending order.\nAnswer: -8, f, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 125\/2142 and 109\/10948.\nAnswer: 98532","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in fifteen quarters of a micrometer?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n = 3*l + 42, 5*l + 68 = 4*n + 8. Let v be (20\/(-6))\/(n\/(-15)). Suppose -4*s = 8, -v*d - s + 117 = 3*s. What is the units digit of d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -133*h**2 + 2603*h - 2603*h as u + i*h**2 + r*h and give i.\nAnswer: -133","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.031245 at least as big as 510?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -6563 - -5?\nAnswer: -655a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = 8221*j + 115105. Determine i(-14).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*s + 5*s = 280. Let p = s + 93. What are the prime factors of p?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = 10*s**3 + 4*s - 4. Let q be m(1). Let v be (-5)\/1*1\/(q\/6). Sort v, -27, -1 in increasing order.\nAnswer: -27, v, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -23582 (b) -10\/11 (c) -4 (d) 1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 110433953239 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 558573481?\nAnswer: 558573481","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/2, -2\/5, 0.2, -2\/11 in decreasing order.\nAnswer: 1\/2, 0.2, -2\/11, -2\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -23765057 + 23765057 - o.\nAnswer: -o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 45 = 3*v - 39. Does 14 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1 + -0.8. Let q = 1888 - 927. Let m = q + -961. Which is the nearest to -2\/7? (a) o (b) -12 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n = 12, -2*n - 1 = f + 1. Is f greater than -74\/11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 181*g**3 + 1348*g**2*y**2 - g*y**2 + 2*y**2 + 42*y - 3043 with respect to g.\nAnswer: 543*g**2 + 2696*g*y**2 - y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(1\/3)\/t*t)**(-25)\/(t**(-1\/6)*t**(-1)) assuming t is positive.\nAnswer: t**(-43\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 42c + 1c411e?\nAnswer: 1c454b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*m + 16 = 6 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 22*c**3 - 7*c**3 - 6*c**3 - 10*c**3 - 4*c**3.\nAnswer: -5*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 3 (b) 1 (c) 1\/5 (d) 4 (e) 231\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Determine o, given that 3*o**3 - 13*o**2\/4 + o\/4 = 0.\nAnswer: 0, 1\/12, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 22a (base 12) in base 15?\nAnswer: 167","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(5) - ((1 + sqrt(5))*4)**2) + sqrt(5) + -1*sqrt(10)\/sqrt(2) - (5 + (sqrt(80) + 1)**2)) + -3.\nAnswer: -185 - 39*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 216873 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-346)\/(-70))\/(1260\/(-410)). Let v = -2\/735 + n. Calculate the common denominator of -1 + (-3 - 94\/(-72)) and v.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -30144, -120368, -270718, -481194, -751796, -1082524?\nAnswer: -1473378","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 8*h**2 + 2*h*i**2 + 2*h + 204*i**2 wrt h.\nAnswer: 16*h + 2*i**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -j**3 - 2*j**2 - 4*j - 17. List the prime factors of i(-5).\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 12*c**3*s**4 + 33191270*c**3*s**2 - 2358*c*s**4 - 610*s**3 wrt s?\nAnswer: 288*c**3*s - 56592*c*s - 3660","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) be the third derivative of -l**6\/120 - l**5\/10 - l**4\/4 - 3*l**3\/2 + 5177*l**2 - l. What is n(-5)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 607741.3mm in kilometers?\nAnswer: 0.6077413","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -4\/163, -164439, -5?\nAnswer: -4\/163","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-1)\/(-2)*2*1. Let u(j) = -j**2 + j. Let l be u(g). Solve o + 3*o = -2*q - 24, o + 2*q + 12 = l for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c = -c + 20. Let p = c + 5. What is the greatest common divisor of p and 72?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 559423 and 8129?\nAnswer: 739","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 196\/(-2205)*5\/1?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -1803531.1 to the nearest 100000.\nAnswer: -1800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -8*v + 6*v + 2*t, -2*t + 12 = 2*v. What is the highest common factor of v and 22?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) be the third derivative of -r**5\/20 + r**3\/6 - r**2. Let a be ((-1)\/((-55)\/814))\/(4\/10). Let n be ((-6)\/(-9))\/(a\/(-111)). What is b(n)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -30826.0396 - -30826. Is 0.2 >= z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = m + 3*h, -m + 4*h - h = -14. Suppose m*s + 321 = 3*l - 9, -s = 4*l - 440. Suppose -a + 5*b + 16 = 4*b, -5*a = b - l. Is a a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = 0 + 2*i - 1 + 5 - 4. Let l(q) = 9*q**2. Determine g(l(z)).\nAnswer: 18*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 6\/(-2)*10\/(-6). Let s = c - 0. Suppose 0 = -0*w - w + s, q - 4*w + 15 = 0. Is 2 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -5036*g*x*z - 2*g*z + g - x*z - 7*x + 7*z + 69 wrt g.\nAnswer: -5036*x*z - 2*z + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -36720 = 43*i - 206*i - 755*i for i.\nAnswer: 40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 2517912 to the power of 1\/2, to the nearest integer?\nAnswer: 1587","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 330 and 150?\nAnswer: 1650","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.32101723 rounded to one dp?\nAnswer: 1.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.2 and -244.086.\nAnswer: -243.886","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 705, 702, 699, 696, 693?\n\"Answer: -3*v + 708","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2 + 103023\/21 + (-14)\/(588\/(-6))?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -47395\/6 + 7878. Calculate the common denominator of x and 4\/50*395\/(-4).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -678*r = 4*a - 676*r - 158, 115 = 3*a - 2*r. What is the remainder when 147 is divided by a?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -143332, -286594, -429856, -573118, -716380, -859642?\n\"Answer: -143262*i - 70","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -11011000110000110011111 (base 2) in base 13?\nAnswer: -1618cb4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 40 (base 8) to base 15.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (1458\/126 - 6\/(-14))*-1. What are the prime factors of (10 - 2058\/w)*(-4)\/(-3)?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-20000)\/(25\/(-6) - -4). What is n rounded to the nearest 100000?\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -246, -254, -276, -318, -386, -486, -624, -806?\n\"Answer: -j**3 - j**2 + 2*j - 246","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -h - w - 55, 5*w = -0*w + 25. Suppose 10 = -121*m + 116*m. What is the common denominator of (-278)\/h + m\/(-3) and 68\/3?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 27082490803 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -3 (b) -0.2 (c) -10.8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -2*y + 21. Let o(f) = f**3 - 5*f**2 + 2*f - 1. Let h be o(5). Let w be r(h). Sort w, 4, 2, -4 in increasing order.\nAnswer: -4, 2, w, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 7919 by 4.\nAnswer: 7919\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + -5 + 5 + ((-1*sqrt(1100) + sqrt(1100))*6 - (sqrt(1100) + (-2*(sqrt(1100) - (2*sqrt(1100) + sqrt(1100))))**2)) + -3.\nAnswer: -17608 - 10*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = 3*x + 3. Let a = -1020 - -1019. Let f(w) = -1. Calculate a*d(m) - 4*f(m).\nAnswer: -3*m + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -113\/56 and 61\/2828.\nAnswer: 5656","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = 343*l - 3424. Let f be z(10). Solve 2*m = -4*v + f, -3*v + 11 = 5 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -515 + 1764. Is c prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 2590 and 4574.8.\nAnswer: 7164.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6666 is divided by 71?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 2.9 * -0.622147\nAnswer: -1.8042263","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -420159*s**5 - 1062*s**2 - s - 63400081 wrt s.\nAnswer: -8403180*s**3 - 2124","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -s. Suppose -18 = 5*c + 4*c. Let o(l) = 12*l**2 - 6. Let x(j) = -j**2 + 1. Let n(i) = c*o(i) - 12*x(i). Give u(n(p)).\nAnswer: 12*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 7613.95194 microseconds?\nAnswer: 0.00000001258920625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 181?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express (-23*v - 45*v + 24*v + (-3*v + 2*v - v)*(-1 - 3 + 2) - 2*v + 2*v + v)*(2 - 2*v**2 + 2 - 3) in the form n*v + z*v**2 + x*v**3 + s and give n.\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 21 - -9. Let j(d) = 12*d - 74. Let u(h) = 22*h - 147. Let v(n) = 5*j(n) - 3*u(n). Let y be v(7). Which is smaller: a or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.107987 tonnes in nanograms?\nAnswer: 8107987000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1 and 46455.\nAnswer: -46455","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -323, -1284, -2887, -5132, -8019, -11548?\n\"Answer: -321*n**2 + 2*n - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-8)\/14*(63\/(-45))\/(1*2).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*c + 96 + 111 - 207.\nAnswer: -4*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 100070 is divided by 24998.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -u + 4. Let r be s(0). Let o(h) = -4 + r + 2*h. Let a(f) be the second derivative of 5*f**3\/6 - 938*f. Give a(o(n)).\nAnswer: 10*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h*h**(1\/2)*h)\/h**(1\/2))\/(h\/h**1)**(-34))**(-2\/31) assuming h is positive.\nAnswer: h**(-4\/31)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wwmwmwwwwwvvwwwwm. What is prob of picking 3 w and 1 v?\nAnswer: 22\/119","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -14483 (b) 3\/2 (c) -33 (d) -0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*v**2\/7 + 18*v + 536\/7.\nAnswer: -2*(v - 67)*(v + 4)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) be the third derivative of s**7\/15 - s**6\/12 - 3*s**5\/10 + 5*s**4\/12 + 2*s**3\/3 + 4*s**2. What is k in v(k) = 0?\nAnswer: -1, -2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*b + 8 = 4*o, 3023*b = 3029*b - 2*o + 22 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 494 a factor of 20458301?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put -25, -4, 1, -35 in decreasing order.\nAnswer: 1, -4, -25, -35","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 792234 divided by -306?\nAnswer: -2589","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 5 - 120368951659244\nAnswer: -120368951659239","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 199144778 to the power of 1\/2, to the nearest integer?\nAnswer: 14112","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*b**2 + 4*b**2 + 6*b**3 - 8*b**3 to the form y*b**3 + x + f*b**2 + c*b and give x.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:01 AM and 11:35 AM?\nAnswer: 454","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 370\/28633?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -48*o + 52*o - 4 = 0 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -0.5 times -63.38\nAnswer: 31.69","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (2\/(-6) + 1)*6. Suppose x = d*x - 9. Let o be (-1 - 15\/(-9))*x. Solve 5 = o*v + 3*q, -2*v = v - 3*q for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15638873 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.5029944 and -4.\nAnswer: -4.5029944","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -16*d**2. Suppose 10 = s + 4*b, 0 = -4*s - 3*b + 6 + 8. Let v(j) = -40 + 40 - s*j. Determine v(z(w)).\nAnswer: 32*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (-303)\/(-7878)*520\/170?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -343, -283, -207, -115, -7?\n\"Answer: 8*h**2 + 36*h - 387","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -4 - -4.05. Let w = q - -4.95. Put 2\/9, w, -0.3 in increasing order.\nAnswer: -0.3, 2\/9, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -943 - 3 - 13*m - 11*m - 3*m + 57*m**3 + 18*m with respect to m.\nAnswer: 171*m**2 - 9","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -2*i**2 + 70*i + 30. Suppose -4*m + 65 = 5*j, 0*m + 3*m - 70 = -5*j. Calculate the remainder when t(35) is divided by j.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2967758 and 764.\nAnswer: 382","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 415117344?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -8915, -17059, -24429, -31025, -36847?\n\"Answer: 387*z**2 - 9305*z + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 12794?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*1*sqrt(77))\/(1*sqrt(176)).\nAnswer: -sqrt(7)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -62*z - 1. Let m(y) = -189*y - 3. What is 8*j(k) - 3*m(k)?\nAnswer: 71*k + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -55134 - -5?\nAnswer: -55126","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -130756 to the nearest 1000.\nAnswer: -131000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = a**3 - 16*a**2 - 33*a - 23. Let k be v(19). Let b = 443 - k. What is the lowest common multiple of b and 8?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1.1 - -1.1. Let k = 2.159 + -0.159. What is the third smallest value in k, u, -0.15?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.4 (b) 3\/5 (c) 0.05 (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 - (3 + -7 + 4).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m + 3 = -2. Let d be (-12)\/(m - 3) + 1. Solve -i - d*i + 35 = 3*o, -5*o + 5 = -5*i for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((y\/(y\/(y**(-3\/10)\/y))*(y**(2\/7)*y*y*y)\/y)\/(y**2)**(1\/7))**(-3\/20))**(1\/18) assuming y is positive.\nAnswer: y**(-7\/1200)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4400 = -0*o + 11*o. Suppose -2 = -2*j + 2, -4*q = 2*j - o. Let d = q + -94. Solve 2*x = 4*s - 26, -2*x + d*s - 2*s - 22 = 0 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 + 2 - 22*r + 45*r in the form l*r + g and give l.\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 6\/19, 1, 3, 0.1, -3\/4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -326, -346, -352, -338, -298, -226, -116?\n\"Answer: i**3 + i**2 - 30*i - 298","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/4? (a) -80 (b) 2 (c) 0.1 (d) 0.109 (e) 1525 (f) -0.4\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -349 - 329 + 753 = 3*u - 2*p, 18*u + 5*p = 399 for u.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 438 and 0.91?\nAnswer: 398.58","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -185 - -187. Find the second derivative of -1 - 8 - 21*u**2 - u + 3*u - l wrt u.\nAnswer: -42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*k + 1 + 3*k - 6)*(-3*k - 2*k + 2*k)*(3*k**2 - 3*k**2 + 2*k**2).\nAnswer: 12*k**4 + 30*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 4800 a multiple of 32?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.9 + 1. Let o = -147.97 - 10.03. Let r = o + 161. Which is the third smallest value? (a) 0.5 (b) k (c) 2\/15 (d) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 39621420 a multiple of 2151?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is five quarters of a tonne in kilograms?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.02 + 3.98. Let i = 72.1 + -72. Which is the closest to i? (a) -1 (b) h (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -462*y**2 + 323848*y + 9818. Calculate r(701).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 1049?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -22*k**5 + 33*k**2 - 277*k + 277*k wrt k.\nAnswer: -1320*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-54)\/12)\/((-3)\/4). Let b be (x\/(-12))\/((-2)\/12). Factor -3*a - 2*a**3 - 4*a**2 + 3 + b*a + 1 + 2*a.\nAnswer: -2*(a - 1)*(a + 1)*(a + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 0 - -317?\nAnswer: 317","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -38ba1 + -4?\nAnswer: -38ba5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -2, 5, 1, 392 in descending order.\nAnswer: 392, 5, 1, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 + -11 - (-22 + 16 - (3 + -1 - 24))?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 5255985 and 35?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put together 5 and -1056.\nAnswer: -1051","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*t - 2*t**2 + t**2 + 66*t**3 - 70*t**3 + (1 - 4 + 2)*(-t**2 - t**3 + t**2) - 2*t**3 + 2*t**3 + 2*t**3.\nAnswer: -t**3 - t**2 - 2*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 1100110010100011101101 (base 2) in base 6?\nAnswer: 155510141","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 38*n + 12 = 35*n. What is the closest to -1\/3 in -0.1, -0.3, n, 0.006?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 359 by -1.\nAnswer: -359","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1000 or 99?\nAnswer: 1000","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -4696552693 + -2?\nAnswer: -4696552695","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*w + 4*h - h = -30, -w + 2*h + 15 = 0 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -6*v - h - 7, -62*v + 63*v + h + 3 + 4 = 0 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*u - 20 + 50. Suppose 4*q + 18 = 6, -4*y - q - 23 = 0. Put 0, y, -4, u in decreasing order.\nAnswer: u, 0, -4, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 28584 + -28584.027457. What is j rounded to two dps?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*o + 3*o + 6. Suppose -z = -o*z + 345. Is z prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1265 (base 11) to base 13.\nAnswer: -996","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 774325522?\nAnswer: 2, 387162761","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 681 minutes before 10:33 AM?\nAnswer: 11:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 705 minutes before 3:42 PM?\nAnswer: 3:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*f - 16*f - 1 = 0 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p - 3*n = p - 23, -10 = -2*n. Suppose 2*a = -3*g + 4*a + 89, -a = -p*g + 61. Calculate the greatest common divisor of 121 and g.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = 2*f**2 - 8*f. Let m(v) = v. Let b(k) = h(k) + 8*m(k). Suppose -2*c - 5*l = 11 + 1, -8 = 2*l. Let n(p) = 2*p - c*p + 3*p + p. What is b(n(w))?\nAnswer: 8*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g and 1 x when two letters picked without replacement from fqfxjfjfgfqggfqffqf.\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 16607, 16605, 16603?\n\"Answer: -2*t + 16609","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*i - 28 - 7. Solve 4*z + i = -13 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (12*c**4 + 13*c**4 - 24*c**4 - 26)*(3 + 2 - 6) + (3*c - 3*c + c)*(2*c**3 - c**3 - 2*c**3).\nAnswer: -2*c**4 + 26","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23 = h + 4*i - 25, -h - 3*i + 53 = 0. What is the units digit of h?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 4 - 3.8. Let b = 0.4 - j. Let c = 0.16 + 0.14. Put b, -0.5, c in descending order.\nAnswer: c, b, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000537085103 to six decimal places.\nAnswer: -0.000054","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 5 + -5.089. Let g = -6.811 + s. Let n = g - -6.89999947. What is n rounded to 7 decimal places?\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2*(-1)\/(-19)*(-9)\/(-9).\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -h**3 - 13*h**2 - 2*h - 22. Let y be k(-13). Solve y*l - 8 + 0 = 3*r, 0 = 5*r + 2*l + 22 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*g + 5 = q, -7 = -4*q + q - 10 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -102*o**2 - 7*o + 20.\nAnswer: -204","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -95*w = 384*w - 10538 for w.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 156820, 156818, 156816, 156814, 156812?\n\"Answer: -2*l + 156822","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*m = 2*f + 21, -8 - 8 = 5*m + 9 for f.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -45 (b) -0.1654 (c) -0.1 (d) 141 (e) 2\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = s**3 - 2*s**2 + 4*s - 4. Let h be p(2). Suppose 3 + 4 = z + k, -k = -h*z + 13. Solve -a - 3*c = -14, 11 + 5 = z*c for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -18*r - 2. What is the units digit of b(-5)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.078 and 0.037.\nAnswer: -0.041","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 62, 206, 424, 716?\n\"Answer: 37*o**2 + 33*o - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -1 divided by -1206291\nAnswer: 1\/1206291","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 4 + -3.7. Let d = 0.2 + o. Let s = -69\/4 - -17. Which is the second smallest value? (a) 1\/6 (b) s (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 8900010 and 70.\nAnswer: 8900010","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*((1*(3 + -2*sqrt(1250) + sqrt(1250)))**2 + -2)*-2.\nAnswer: -15084 + 1800*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 52281604 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: Collect the terms in -20330 + 278*z + 20330 - 280*z.\nAnswer: -2*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11512*d**3 + 5735*d**3 + 5728*d**3 + 5*d**2.\nAnswer: -49*d**3 + 5*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 81.423 - 0.523. Let f = -81 + j. Which is the nearest to -1? (a) f (b) -3 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.3, -3\/4, 41417, 0.5 in ascending order.\nAnswer: -3\/4, 0.3, 0.5, 41417","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1892*2.05.\nAnswer: 3878.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -34*k**2 + 151*k + 613. Determine i(-4).\nAnswer: -535","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/4 of a millennium in months?\nAnswer: 63000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 1957, 4197, 6437?\n\"Answer: 2240*c - 283","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = 2*j**2 + 11*j - 2. Let o be b(-9). Suppose o = -4*k + g + 162, 3*k - 63 = 5*g. Suppose 73 = 3*s - k. Calculate the remainder when s is divided by 17.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 958.\nAnswer: 2, 479","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 26*o + 182 + 52 for o.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v, 2 y, and 1 p when four letters picked without replacement from {n: 1, v: 2, d: 1, y: 4, p: 1}.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:32 AM and 3:41 AM?\nAnswer: 9","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is -828\/5 bigger than -165?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-4)\/(-24) + (-89)\/(-6). Suppose 3*l - 4*p - 9 = 43, 0 = p - 2. Let -13*b**3 - 1 - 4 + 20*b - i*b**2 - 7*b**3 + l*b**4 = 0. Calculate b.\nAnswer: -1, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 129891.\nAnswer: 3, 29, 1493","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2019 to the nearest integer?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = 3*z**2 + 27*z - 46. What is the tens digit of r(-17)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z = -4*z + 268. List the prime factors of z.\nAnswer: 2, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 714*839.\nAnswer: 599046","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is one sixth of a decade in months?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 948.8817 weeks in days?\nAnswer: 6642.1719","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*s**3 + 3*s**3 - 6*s**3 + (-3*s**3 + 2*s**3 + 3*s**3)*(4 - 2 + 0) + 2*s**3 + 2 - 2 - 17*s**3 - 7*s**3 - 3*s**3.\nAnswer: -20*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = 24*l + 1. Let a(o) = -2*o - 123. Let h(j) = 10*j + 574. Let g(d) = -14*a(d) - 3*h(d). What is r(g(v))?\nAnswer: -48*v + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 15487, 123468, 416561, 987322, 1928307, 3332072?\nAnswer: 5291173","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -36*x - 1145009 = -1144757 for x.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-20*z + 20*z - z**2)*(4*z + 0*z - 5*z)*(-4 + 2 + 4).\nAnswer: 2*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 5531 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:00 PM and 9:09 PM?\nAnswer: 249","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find y such that -3*y**4 + 8169*y**3 - 7311240*y**2 + 2054212800*y + 86434368000 = 0.\nAnswer: -37, 920","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -204, -828, -1868, -3324, -5196, -7484, -10188?\n\"Answer: -208*q**2 + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1, -11, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -20 - 7313*w - 1266*w - 2081*w + 18.\nAnswer: -10660*w - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*v + 21 = 3*n, -4*n + 6*n - 3*v = -1 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*g - 44 = -4*g + 4*d, 2*g = -5*d + 15. Suppose -29*c = -26*c - 75. Calculate the greatest common factor of c and g.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 379 = -178*t - 1823 - 112 for t.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z = -3*l + 60, 28 = 5*z - 2*l - 93. Let d(x) = -28*x**2 - 9*x + 9*x + z*x**2. Let a(m) = -10*m**2. Give d(a(o)).\nAnswer: -500*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-40 + 7)\/11*1?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = 6*g**3 + 19*g**2 + 12*g + 19. Let a(i) = -7*i**3 - 19*i**2 - 13*i - 20. Let v(h) = -4*a(h) - 5*b(h). List the prime factors of v(-10).\nAnswer: 3, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -30, -37, -42, -39, -22, 15, 78, 173?\n\"Answer: p**3 - 5*p**2 + p - 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1300)*3*4)\/((sqrt(196) + sqrt(196)*-2 - sqrt(196))*6).\nAnswer: -5*sqrt(13)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*y - 27*a + 195 = 0, 173545*a - 37 = -2*y + 173540*a for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 3*32\/(-576)*-138?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d = -2*k - 27 - 19, -d = -1. Calculate the common denominator of ((-14)\/(-15))\/(21\/(-189)) and (0 - k)*(-9)\/(-6).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b - 3474 = 2*g, 2*b + 0*g + g = 1735. What is the remainder when b is divided by 61?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.823 in 118, 2\/5, -8?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1.94 - 2.04. Let u = 9 + -68. Let x = u + 353\/6. Which is the second biggest value? (a) k (b) 1 (c) 0.4 (d) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*v**2 - 61*v**2 + 62*v**2 + 0*v**2.\nAnswer: 11*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -30277 - 1140\nAnswer: -31417","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:30 PM and 8:55 PM?\nAnswer: 145","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 93894 to the nearest integer?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -9034296 rounded to the nearest ten thousand?\nAnswer: -9030000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -24731, -50924, -77117, -103310, -129503, -155696?\nAnswer: -181889","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2 + 3. Suppose -5*p = k + 8, -56 = 3*k - p - 0*p. Let x be (-57)\/k + a\/(-30). Solve v - x*i + 5*i + 5 = 0, 3*i + 14 = 5*v for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 94127 and 33.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o*o*o*o*(o\/(o**32*o))\/o*o**(2\/21)\/o)\/(o**29\/(o\/o**(-2\/7))) assuming o is positive.\nAnswer: o**(-1210\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -7*x**2 - 406*x + 411. Let d be h(1). Let r = 0 + -1. Let k = 0.5 + -0.8. Which is the nearest to d? (a) r (b) k (c) -1\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*i = -2*u + 31, -4*i - i + 22 = -u for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4963*g - 6240 = -4843*g for g.\nAnswer: -52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is -1463 > -1462?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*o**4 - 3*o + 3*o + (2*o**3 + o**3 - 5*o**3)*(0*o + o - 2*o) - 4*o**4 - 2*o**2 + 2*o**2.\nAnswer: -5*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put -15872, 4, 0, -294 in decreasing order.\nAnswer: 4, 0, -294, -15872","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -1 (b) -4 (c) -0.5 (d) -0.002\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 741 (base 8) to base 4.\nAnswer: 13201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.041? (a) -11 (b) 1 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-96)\/(-144) - (-106)\/3. Suppose 3*d - 27 + u = 0. Let p(l) = -l**3 - l**2 + 3*l - 2. Calculate p(d).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 396\/7 - 5190\/91. Let c = m + 37\/52. Let q = 26 - 31. What is the closest to 1 in q, 5, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 104883 - 104871 = 4*c. Suppose 2\/5*a - 2\/5*a**c - 2\/5*a**4 + 6\/5*a**2 - 4\/5 = 0. Calculate a.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of -2 + 0 + 23*2?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 2\/2007?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 44 a factor of 4479?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 25067 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*p - 1 + 1)*(p + 3 - 3) - 17*p + 6*p**2 + 17*p to g*p + w*p**2 + f and give w.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -i**3 + 6*i**2 + i - 4. Let f be a(6). Suppose f*w - 1 = 9, w + 1805 = 5*z. Let t = z + -199. Is t a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -10 + 12. Suppose 3*h - 155 = 3*i - 20, -5*i + 76 = v*h. Calculate the remainder when h is divided by 15.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 50659 is divided by 1860?\nAnswer: 439","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l + 2 = l. Let h be (l\/4)\/((-1)\/8). Suppose -4*q + h = -2*q. What are the prime factors of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 14.63+-0.038\nAnswer: 14.592","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of u**5*z + 68589163*u**4*z**2 - 2*u**2*z**2 - 8*u**2*z + u*z**2 - 2*u*z - 615*u + 3*z**2 wrt u.\nAnswer: 60*u**2*z + 1646139912*u*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xkpkpqhr. What is prob of sequence hqx?\nAnswer: 1\/336","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -73019 = 3375*g - 204644. Let z be (1\/(-2))\/((-2)\/552). Suppose 4*v + v = -4*r + z, -3*v + 3*r = -72. What is the remainder when g is divided by v?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.0709 or 90365?\nAnswer: 0.0709","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f + 3*t = -2*t - 2566, -f = -2*t + 870. Let a = 1331 + f. Is a a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 4139.34 + -4140. Let t = 5.24 + -9.9. Let f = h - t. Which is the third biggest value? (a) f (b) 0.01 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1989*0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11753 is divided by 2964?\nAnswer: 2861","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = 13*f - 8. Calculate the smallest common multiple of x(2) and 63.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 57.223233s in days?\nAnswer: 0.0006623059375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-60)\/(-24)*(-12)\/(-10). Suppose 2*n = 0, -1170 = -b*v - 17*n + 13*n. Is v a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:17 AM and 9:59 AM?\nAnswer: 402","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -19004, -38003, -57004, -76007, -95012, -114019?\nAnswer: -133028","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (sqrt(12) + sqrt(60)\/(sqrt(20)\/sqrt(4)))\/(sqrt(216) - sqrt(54)).\nAnswer: 2*sqrt(2)\/3 + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2\/(-11*(-14)\/(-1001)). What is the closest to o in 23, -3, -13?\nAnswer: -13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + (-8)\/2 + 126\/33?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 19, 90, 271, 616, 1179?\n\"Answer: 9*g**3 + g**2 + 5*g + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = 2*q. Let d(h) = 8*h - 2031. Determine b(d(k)).\nAnswer: 16*k - 4062","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/(w\/(w*w\/((w*w*w*w*w\/(w*w*w**(3\/4))*w*w*w)\/w*w*w)*w))*w*w*w**(-37))\/(w**(13\/3)\/w)**48 assuming w is positive.\nAnswer: w**(-793\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -14*y + 54. What is the tens digit of l(-20)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 47 + -41. Solve r = w*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -4567 + -6?\nAnswer: -4574","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 404240 and 1860?\nAnswer: 620","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*i - 13*i - 6*i - 7*i.\nAnswer: -22*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 23226, 23287, 23390, 23535, 23722?\n\"Answer: 21*x**2 - 2*x + 23207","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -285741 divided by 19\nAnswer: -15039","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -79375026*z**2 + 151404*z - 110 wrt z.\nAnswer: -158750052","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 144 divide 16743?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 31656 to the nearest integer?\nAnswer: 178","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mbmmmgmmhmhhhmbp. What is prob of picking 3 g?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 12.23 - -1.77. Let f = n - 11.68. What is f rounded to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4994424596 to the nearest integer?\nAnswer: 70671","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = v**2. Let h be o(-1). Let u be 20*9\/36 - h. Solve 6*g - 10*g = -u for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -7*n + 30. Give z(0).\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 75473064 a multiple of 3349?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*t = -3*t + 5*r + 5654, 4*t + 5*r = 7527. Is t composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1337 + 2905. What is the hundreds digit of r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.07? (a) 4 (b) 5\/2 (c) -1\/7 (d) -1\/4425 (e) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4695, -4443, -4177, -3891, -3579, -3235, -2853?\nAnswer: -2427","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve g - n = 1, 11*g - 9*g = 5*n - 13 for g.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 25 and 29075.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 1, f: 1, e: 1, o: 1, h: 1}. What is prob of sequence hhf?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 3, l: 7}. What is prob of picking 1 l and 1 v?\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3.9 - 0.1. Let g = i - -3.8. Let f = -1 + -1. What is the closest to g in -0.1, 0.5, f?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -20850.0104243 - -20850. What is i rounded to 5 decimal places?\nAnswer: -0.01042","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = 302594*d**2. Let w(i) = 26*i. Give w(h(v)).\nAnswer: 7867444*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (4 - 6) + 30\/5. Let z be -2 - (-4 - (3 - y)). Let h(n) = -n**2 + 2*n**2 - 11*n**3 + 8*n**3. Determine h(z).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 6762? (a) -0.4 (b) 2\/3 (c) -0.3 (d) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = n**3 - 4*n**2 + 4*n - 12. Let b be g(5). Let h be (78\/(-9))\/(22\/b). Suppose u = 4*u + 45. Are h and u equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -342 + 36 + 92*x - 674*x wrt x.\nAnswer: -582","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*c**3*d*p - c**2*d - 2*c**2 - c*p + 61*d*p + 2 wrt c.\nAnswer: -6*c**2*d*p - 2*c*d - 4*c - p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.13 + -5.13. Let t = r - -4.5. Sort t, -4, 1 in increasing order.\nAnswer: -4, t, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5147 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is -104 greater than or equal to 511960?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 16363, 11781, 7187, 2575, -2061, -6727, -11429?\n\"Answer: -v**3 - 4575*v + 20939","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c - 40 = 6*i - 2*i, -c + 2*i + 8 = 0. Let s = 125 - 120. What is the remainder when c is divided by s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*d = 3*c + 51, -41*c - 49 = 2*d + 43*c - 79*c for d.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (x - 2*x**3 - x)*(-3 - 5 + 4) + 1534*x**3 - 494*x**3 - 651*x**3 to the form n*x**3 + q + a*x + l*x**2 and give n.\nAnswer: 397","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -267, 0, 208 in decreasing order.\nAnswer: 208, 1, 0, -267","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 5? (a) 0 (b) -25 (c) 17 (d) -9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*c + 22 + 2. Let l be (-54)\/c + (-9)\/12. Suppose x + 3 = l. What is the units digit of x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*l**2 - 188884*l - 1700118 = 0 for l.\nAnswer: -9, 94451","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 493 and 232339?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 4082831 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 422\/(-4853) + (-32)\/690?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o - 4*g - 44 = 0, -4*o + 5*g + 115 - 42 = 0. Let y be 9\/2*o\/18. Find the first derivative of y*f - 2 - 4*f + 0*f wrt f.\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*j + 400 = 5*j. Suppose 6*v = -4*f + 5*v + j, 4*f - 84 = -2*v. What is the highest common divisor of f and 133?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 162 - 758 - 294 - 3*k - 1717 - 236 + 0*k.\nAnswer: -3*k - 2843","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qqqeqqqeqqqqqeq. What is prob of sequence qe?\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 8408, -2, -4, -9, -1\/6, -6?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 1 + 3 + 2*g)*(153*g**2 - 182*g**2 + 87*g**2)*(3*g**2 - g**2 - 3*g**2).\nAnswer: -116*g**5 - 58*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 324.34um in meters?\nAnswer: 0.00032434","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*h + 5 + 1. Let j(s) = -4*s**2 - h*s**2 + 2*s**2 + 3*s**2. Let n(f) = -f. Calculate n(j(u)).\nAnswer: 2*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) be the third derivative of 1\/35*q**7 + 1\/168*q**8 + 1\/20*q**6 + 1\/30*q**5 + 0*q**4 + 16*q**2 + 0*q + 0*q**3 + 0. Determine c, given that n(c) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 425863588 minus -16645?\nAnswer: 425880233","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 60\/(-420)*(-21)\/12. Determine q, given that -1\/2*q**4 - f*q**5 + 0 + 0*q + 0*q**2 + 3\/4*q**3 = 0.\nAnswer: -3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -2 + 23?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in 4, -2, 889.743?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1128960 rounded to the nearest one hundred thousand?\nAnswer: 1100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -7, -10449, 5\/2 in ascending order.\nAnswer: -10449, -7, -5, 5\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1134*z = -33043 + 5741 - 38470 for z.\nAnswer: -58","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from whwwhhwwwwwwwwwhww. What is prob of sequence whw?\nAnswer: 91\/612","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -q + 13. Let w be j(16). Let c be (-2)\/((-8)\/(-12))*-1 + w. Solve c*s = -2*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = 6*f**2. Let n(i) = -12*i - 22. Calculate n(a(u)).\nAnswer: -72*u**2 - 22","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(128) + -2*sqrt(128)*3 + 4 + (-5*sqrt(128)*-2 - (-5 + sqrt(128)*-2)))**2.\nAnswer: 1008*sqrt(2) + 6353","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = 7*n + 5. Let v be o(4). Suppose 0 = -3*f, -3*x - 10 = 5*f - 79. Let c = v - x. Calculate the lowest common multiple of 20 and c.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1002 divided by -334?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -311*p - 4720. Give n(-16).\nAnswer: 256","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 15\/(-75) - (-86)\/5. Let s = 543 + -256. Let x = s + -202. What is the highest common divisor of x and f?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 91262617831.9 plus -0.088?\nAnswer: 91262617831.812","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -190*s**3 + 102*s**3 + 87*s**3.\nAnswer: -s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.3, -279, -15.6, 1\/8?\nAnswer: -15.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2553 and 17112?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 225*g**3*j + 399*g**3 - 3*g**2*j + 21*g*j - 6*g - 115*j + 31 wrt g.\nAnswer: 1350*g*j + 2394*g - 6*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 866, 6986, 23592, 55928, 109238?\nAnswer: 188766","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -50*m**3 - 16*m**3 + 152358*m**2 - 34*m**3 - 152358*m**2.\nAnswer: -100*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:20 AM and 12:28 PM?\nAnswer: 428","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -275.7616646 rounded to the nearest 10?\nAnswer: -280","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 17256 a multiple of 54?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = 8*r**2 - 87*r - 11. What is the units digit of k(15)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -27, -58, -127, -252, -451, -742, -1143, -1672?\n\"Answer: -3*u**3 - u**2 - 7*u - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 122*q + 133*q - 382*q + 127*q - 2*q**2.\nAnswer: -2*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t = 5*v + 10, 3*t - 43 = -3*v + 5*v. Suppose q = 3*s - 124, -3*q - 38 = -3*s + 82. Calculate the remainder when s is divided by t.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) be the third derivative of -c**7\/945 + c**5\/270 - c**2. Find q, given that z(q) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = i - 38. Let k = i + -4. Suppose -3*d + 3*x = -13 - k, -5*d - x + 54 = 0. List the prime factors of d.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 97336?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 2, x: 17}. What is prob of picking 1 w and 1 x?\nAnswer: 34\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -46 (b) -153563 (c) -0.5 (d) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 9390750763 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -4.0968 to the nearest integer.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2263472 is divided by 250.\nAnswer: 222","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -1110 (base 3) to base 4\nAnswer: -213","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 111474.91422574 less than 2.3?\nAnswer: -111472.61422574","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 50\/60561 or 1?\nAnswer: 50\/60561","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 62*a = -409 + 223 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 5662 bigger than 5659?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0261472183 to 2 decimal places.\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1495 and 345?\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1010011000011 + 1?\nAnswer: -1010011000010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 77.70696 to 1 decimal place.\nAnswer: 77.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = 29*p**2 - 3*p - 5. Let g be (-9)\/15 - (-13)\/5. Suppose n = -g*n + 4*l, 0 = 5*n - 2*l + 14. Is y(n) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = 11096*i - 66580. What is o(6)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -347*b - 220 - 215 + 435 - 76*b. Let v(y) = -y**2. Calculate v(m(j)).\nAnswer: -178929*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1.87 - -2.07. What is the second biggest value in -10, -0.5, h?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 5125?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = 2*s**2 - 20*s + 138. Is p(19) a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1625*n - 85*n**3 - 10*n**3 - 1627*n)*(1 - 4 + 2) + (-6 - 2 + 2)*(-12*n + 12*n - 9*n**3).\nAnswer: 149*n**3 + 2*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*k**1\/k*k)\/k**2*(k\/k**7*k*k)**(2\/7) assuming k is positive.\nAnswer: k**(-8\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -16 - -15.5. What is the nearest to 1 in -1\/3, 4, z?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.7 times 6607\nAnswer: 4624.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i + 53344 = 4*m - 17231, -20 = -4*i. Is m a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 12\/14*((-30)\/(-6) - 19). Let h = t + 337. Suppose 2*d = 7*d - h. Calculate the highest common factor of 13 and d.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-9*b**3 - 363 + 363)*(-2 - 1 + 2)*(7 - 4 + 1).\nAnswer: 36*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 15 + -17 - (1 - 10)\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 516 and 60?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13765?\nAnswer: 5, 2753","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -8, 6, -3, -1, -114 in ascending order.\nAnswer: -114, -8, -5, -3, -1, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (997 + 16*q - 997)*(1 + 6 - 9 - 38*q**3) to the form w*q**4 + t*q**2 + r + i*q + n*q**3 and give w.\nAnswer: -608","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-999)\/(-72)*62\/93 - 16?\nAnswer: -27\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i = 4*g - 2*g - 1, -3*g + 3*i = -9. Calculate the remainder when 30 is divided by g.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -r + r - 2*r. Let l(w) = -w**2 + w - 1. Let b(h) = 6*h**2 - 7*h + 7. Let n(q) = 5*b(q) + 35*l(q). Determine n(m(v)).\nAnswer: -20*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.776 - 4033569731.\nAnswer: -4033569730.224","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 26.687 + 0.013. Let x = b + -25. Let a = x + -1.6. Which is smaller: a or -30?\nAnswer: -30","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 890 to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-16)\/(s*s*s\/s**(-5)))\/(s\/(s**(-4\/7)\/s*s)*s)**(-4\/21) assuming s is positive.\nAnswer: s**(-1152\/49)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -m**2 - 2*m - 12. Determine j(-6).\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 109250452?\nAnswer: 2, 103, 283, 937","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 55822897 rounded to the nearest ten thousand?\nAnswer: 55820000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from sssnmnmmm. Give prob of picking 4 m.\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 20 divided by 126725.\nAnswer: 4\/25345","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 1\/(((-7)\/14)\/(12\/42))\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(-3\/7))**10*(x*x**12*x)\/(x**(-9\/5)\/x))**(-2\/73) assuming x is positive.\nAnswer: x**(-12\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 106501778 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: What is the nearest to 21263 in 20, 1\/7, -3\/5?\nAnswer: 20","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 489 - 485. Solve -f - 1 = w*d - 3, 4*d = -5*f + 10 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1\/3 - (-10)\/15. Let r = 17 - 15. Find l such that 3*l**3 - 13*l**2 - j + 25*l - 23 + 11*l - 5*l**r = 0.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d = 5*y - 3*y, 4*d - 2*y = -6. What is the nearest to 2\/7 in d, 0.04, -0.3?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 4, 91 in decreasing order.\nAnswer: 91, 4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:02 AM and 3:11 PM?\nAnswer: 669","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 3877 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 145*v - 36*v + 44500 - 37197 for v.\nAnswer: -67","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = o + 7*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 156 and 24.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o + 2*b - 1048 = 166, 4*o + 5*b = 2424. List the prime factors of o.\nAnswer: 13, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/(-105))\/(6\/15*(-1245)\/498)?\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -9*d + 271. Let h be k(28). Let s(z) = -z**3 - z**2 - 2*z + 551. Let o be s(0). Calculate the highest common factor of h and o.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(3\/7)\/p)\/p**(3\/14)*(p\/(p*p\/(p\/p**8)))\/(p*p**(-10\/3)*p*p*p) assuming p is positive.\nAnswer: p**(-397\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h - 52 = -4*f, 3*f + 3*h = -0*h + 12. Suppose -l = f*g - 3*g + 65000, 4*l = 5*g + 65000. Round g to the nearest 1000.\nAnswer: -13000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -23*z**6 + 2*z**5 + 18*z**4 - 42*z**2 - 6*z wrt z.\nAnswer: -2760*z**3 + 120*z**2 + 432*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 33\/7, -6\/95, -3\/10 in decreasing order.\nAnswer: 33\/7, -6\/95, -3\/10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 140\/12*(-36)\/30\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 2\/27, 5.\nAnswer: -3, 2\/27, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.005280558187 to seven dps.\nAnswer: 0.0052806","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -0.08 or -1\/5?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = 74*i - 1. Let d(a) = -5. Let l(c) = 16*c - 160. Let p(u) = -32*d(u) + l(u). Determine f(p(n)).\nAnswer: 1184*n - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 25900 rounded to the nearest ten thousand?\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -4, -1\/3, -2, 2?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11 (base 2) to base 13.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = o**3 - o**2 - 2*o + 2*o**2 - 1 + o**2. Let k be y(-2). Suppose 0 = k*q - q + 98. Round q to the nearest ten.\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -1323, -5295, -11957, -21339, -33471, -48383, -66105?\n\"Answer: -5*s**3 - 1315*s**2 + 8*s - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of 90148500?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + 115 = 3*p. Suppose -2 - p = -5*c. What is the units digit of c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h = -0 + 4. Suppose 0 = y - 0*y + 3*k + 64, -3*y - 4*k - 172 = 0. Let l be ((72\/y)\/(-3))\/(-1). Are l and h nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 15360091.8082 - 15355624. Let m = y - 4463.3. Let g = m + -4.5. What is g rounded to three decimal places?\nAnswer: 0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/(-3*2\/24)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) be the second derivative of -l**7\/2520 - l**5\/30 - l**4\/3 - l. Let p(c) be the third derivative of b(c). Differentiate p(x) with respect to x.\nAnswer: -2*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2584, -2603, -2614, -2617?\nAnswer: -2612","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 4946472 a multiple of 412?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4097, -3987, -3809, -3563, -3249, -2867?\nAnswer: -2417","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -41 (b) 1\/3 (c) 7023 (d) -4 (e) 1\/8\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*i**4\/5 - 483*i**3\/5 + 1884*i**2\/5.\nAnswer: 3*i**2*(i - 157)*(i - 4)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t = -5*m - 20, 0*t - t - 4 = m. Let l(i) = 3*i**2 + 10*i + 1. Let q be l(m). What is the greatest common divisor of q and 72?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -4*y**2 + y - 5. Let i(k) = k**2 + 1. Give 6*i(g) + n(g).\nAnswer: 2*g**2 + g + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Add -4 and -199702528125601.\nAnswer: -199702528125605","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -155 + 159. Let m(s) = -s**3 + 4*s**2 - 2*s - 1. Let j be m(2). Factor 20*z**3 - 6*z - 8*z**j + 5*z**4 - z**v - 10*z.\nAnswer: 4*z*(z - 1)*(z + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -23.46, -2\/11, 0, 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 50025.\nAnswer: 3, 5, 23, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is z in -21*z**2 - 10*z**2 - 18*z**3 - 3*z**2 + 10*z**4 - 6*z = 0?\nAnswer: -1, -1\/5, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-52)\/390 - 491\/3. Let w = 165 + i. Which is the third smallest value? (a) 0 (b) 1 (c) w (d) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 77 a factor of 458291?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-1)\/3)\/(8\/(-6)). Which is the closest to 1? (a) -2\/9 (b) p (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 29\/5 of a kilometer in meters?\nAnswer: 5800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8024 is divided by 23?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -245*z**2. Let j(l) = 49075*l. Determine j(q(v)).\nAnswer: -12023375*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (-2373)\/(-3955)*(-6)\/4\nAnswer: -9\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 3030674293 a multiple of 6492?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -f**2 - 27*f - 98. Let p be v(-19). Calculate the greatest common factor of p and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 614741\/42 - 14636. Let u = 34817 - 835469\/24. What is the common denominator of z and u?\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6263315 a multiple of 909?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) 528 (b) 2\/1061 (c) -5\/12\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 9\/107 + -2125\/26536. Is i equal to 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 468 minutes before 3:23 AM?\nAnswer: 7:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 2823, 2815, 2793, 2751, 2683?\n\"Answer: -r**3 - r**2 + 2*r + 2823","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*k = -5*k + 20. Suppose -k*u + 28 = -2*w, -w + 7 = -u - 4*w. Solve 4*a - 3 = u for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 13038 + -1?\nAnswer: 13037","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 13 + -21. Let c(s) be the second derivative of -5\/12*s**4 + 11\/2*s**2 - 2*s + s**3 + 0. Let k(a) = 2*a**2 - 2*a - 4. Calculate v*k(y) - 3*c(y).\nAnswer: -y**2 - 2*y - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 71756 + -21085. Is w prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -31020 divided by 4.\nAnswer: -7755","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = f**3 + 4*f**2 - 5*f + 1. Let s be k(-5). Sort 0, s, -3 in increasing order.\nAnswer: -3, 0, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-4*(-9)\/(-72))\/((-10)\/8)\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6119*j**2 - 12447*j**2 + 4*j + 6092*j**2 - 4*j + 2.\nAnswer: -236*j**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 15651162 to the power of 1\/4, to the nearest integer?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 24 (base 16) to base 2\nAnswer: 100100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2805.\nAnswer: 3, 5, 11, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 231\/4 - 58. Let p = 3 + 0. Let q be (0 - -3) + 11\/(-3). Which is the nearest to 0? (a) s (b) q (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -10*c - 97. Calculate q(-16).\nAnswer: 63","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 32141 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = 19*z**2. Let c(v) = 3285*v. Calculate c(y(r)).\nAnswer: 62415*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.4008 + -0.0318. Let x = -0.039 + m. Round x to one decimal place.\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 439497343 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*c**2 - 6*c**2 + 22*c**2 - 5*c**2 - 199*c - c**2.\nAnswer: 15*c**2 - 199*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -69962, -139922, -209882, -279842, -349802?\n\"Answer: -69960*t - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -32874, -32911, -32980, -33087, -33238, -33439, -33696, -34015?\nAnswer: -34402","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 19208512 a multiple of 59?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y - 34 = -y. Let k = y + -37. Let s = k + 125. Calculate the highest common divisor of 6 and s.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3\/(-5*(-9)\/(-15))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 469496365?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*n**2 - 12*n**2 - 5*n**2.\nAnswer: -14*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -3*b. Let w(u) = 35*u**2 + 531. Determine w(s(z)).\nAnswer: 315*z**2 + 531","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) be the second derivative of 1\/4*l**4 - 2*l - l**2 - 1\/6*l**3 + 0. What is the tens digit of g(-2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vs when two letters picked without replacement from ssvsssvsvsvsvsssvs?\nAnswer: 4\/17","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) be the first derivative of -4*y**3\/3 - 1. Let w(b) = 2*b**2. What is w(g(x))?\nAnswer: 32*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -757, 110, -3 in ascending order.\nAnswer: -757, -3, 4, 110","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.125 times 2084?\nAnswer: 260.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -8983 or -9465?\nAnswer: -9465","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 6 + -21?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 17587 is divided by 274.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z - 5*p - 1176 = 0, -2*z = -3*z + p + 295. Calculate the remainder when z is divided by 12.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 19777*l*t**3 - 7*l*t - l + 15*t wrt t.\nAnswer: 118662*l*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -27735*c**2*v**3 - 40*c**2*v*x - 450*c**2*x + 13*c*v**3*x + 163*c*v**2 wrt v?\nAnswer: -166410*c**2 + 78*c*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -h + 1. Let i(k) = -4*k + 4. Let f(b) = -2*i(b) + 6*x(b). Let d(p) = -p + 1. Calculate 14*d(l) + 6*f(l).\nAnswer: -2*l + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*j - 3*d + 6, 0 = -1651*j + 1649*j + 5*d - 24 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -11*l**3 + 25*l + 1 - 86*l + 7*l**3 - 3*l**4 + 45*l - 13*l**3 to the form r*l + h*l**3 + b + j*l**4 + t*l**2 and give r.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -0.2*5034984\nAnswer: -1006996.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 24 a factor of 17367324?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1000409?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 487 is divided by 99.\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 - -7.10992093.\nAnswer: 10.10992093","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -212.3 + 212.8. Put 2\/5, -0.028, -2, x in decreasing order.\nAnswer: x, 2\/5, -0.028, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -19 + 20. Suppose -29 = -z - 12. Let u = z + v. Is u a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -12.5 + -1050.5. Put -4\/9, -0.2, k in ascending order.\nAnswer: k, -4\/9, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 95193 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1.92 - 0.08. Let k = v + 0. Let r = k - -2.5. What is the third smallest value in -3, 4\/5, r?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 25376 and 42029?\nAnswer: 1344928","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1.9195 - 1.9195. Which is the closest to 46? (a) d (b) -0.6 (c) -6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(-5 + (2*sqrt(2) + 4 + 5 - (-1 + sqrt(24)\/(sqrt(12)*-1)))).\nAnswer: 6*sqrt(2) + 10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3\/(-2)*(-10)\/45*6.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17908 = 4*s - 53720. What is the units digit of s\/56 + 1\/8?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 501 minutes before 5:19 PM?\nAnswer: 8:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 1, i: 1, s: 1, q: 1, d: 2, t: 1}. What is prob of picking 1 t and 1 s?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-12)\/(-54) - (-3)\/((-27)\/2). Let y be (80\/(-5))\/4 + (1 - j). Let x = 13 + -8. Sort -2\/17, y, x in ascending order.\nAnswer: y, -2\/17, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 3\/(-12)*-1 + 93\/(-4). Let i(t) = 0 - 16*t**2 - 4 - 16*t + 0. Let h be i(r). What is h rounded to the nearest 1000?\nAnswer: -8000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 11.492 and 587?\nAnswer: 6745.804","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(3\/7))**(-8\/3) assuming c is positive.\nAnswer: c**(-8\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) be the first derivative of c**4\/6 - 2*c**3\/3 + 2*c**2\/3 + 6. Determine v so that u(v) = 0.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 30 divided by 616.\nAnswer: 15\/308","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 4 - 1176?\nAnswer: -1172","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*h = 4*h + 4, -5*o - 4*h + 113 = 0. Suppose 19*d - o*d = -180. Is d a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0 - 0.4. Let l be (-16)\/84*237 + 1\/7. Let h be 1 + (-9)\/l*(-1 - 1). What is the closest to -0.1 in h, -1\/8, s?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 156 and 30.\nAnswer: 780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 38\/(-247) + 8\/((-2600)\/1445).\nAnswer: -23\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 27 + (-5618)\/795 + 1\/15. Solve -153*y - d = -148*y for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = 3*j**3 + 31*j**2 + 159*j + 1550. Give q(-11).\nAnswer: -441","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -388*n**5 - 434*n**5 + 709*n**5 + (0*n**2 + 0*n**2 + n**2)*(3*n**3 - 6*n**3 + n**3) + 25*n**2 + 7*n**5 - 25*n**2 - n**5 + 0*n**5 - n**5.\nAnswer: -110*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 117 is divided by 90\/72*16\/(-2 + 4).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = 5*w - 10. Let d(f) = -f + 4. Let l(x) = -3*x + 11. Let o(i) = -8*d(i) + 3*l(i). Let b(g) = -2*g - 1. What is w*o(p) - b(p)?\nAnswer: 3*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) be the first derivative of -3*w**4\/14 - 62*w**3\/21 - 10*w**2\/7 + 7709. Let j(h) = 0. Calculate h.\nAnswer: -10, -1\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 + 3 - (26 - 37)\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*f**2\/3 - 104*f\/3 + 200\/3.\nAnswer: 2*(f - 50)*(f - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 195*f + 82 = 190*f + 14*z, 11*f + 100 = 4*z for f.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + 30 = -c - 2*c, -30 = -2*q + c. Calculate the common denominator of (-130)\/q + (-2)\/3 and 14\/48*14*4.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-24)\/312)\/((-66)\/78)?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-17 - g + 14 - 18)*(0*g**2 + 3*g**2 - g**2).\nAnswer: -2*g**3 - 42*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = 2*f**2 + 7*f + 4. Let r be s(9). Let i = r + -72. Is i prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 474*l*n**2 - 1456485*l - 92*n**2 + 3*n wrt n.\nAnswer: 948*l*n - 184*n + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*((sqrt(1700) - ((sqrt(1700) - (1 + sqrt(1700) + sqrt(1700))) + 3)) + -3 + sqrt(1700) + 1 + 1 + 1*2*sqrt(1700) + 5))**2.\nAnswer: 3200*sqrt(17) + 680064","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4252 (base 7) to base 6.\nAnswer: -10551","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*h - 302*f + 305*f = 6, 1 = f for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -p + 11. Let k be i(6). Suppose -k*y + 132 = 2*n, -y - 4*n - 48 = -3*y. Is 13 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 5 and 1508?\nAnswer: 7540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1573 * 0.098.\nAnswer: 154.154","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + -5 + -4*((sqrt(1331) + -2)**2 + sqrt(1331)) + (4*(-2*sqrt(1331) + sqrt(1331)))**2 + (sqrt(1331) + sqrt(1331) + 3 + sqrt(1331))**2*-5.\nAnswer: -43991 - 858*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1230201807?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 207, 5, 8, 0, 2 in decreasing order.\nAnswer: 207, 8, 5, 2, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 1820646376?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence crrl when four letters picked without replacement from rcrcrlccrcrrr.\nAnswer: 7\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f - m + 3*m = 10, 2*m - 2 = -3*f. Suppose f*j - 3*v = 101, 0*v = -2*j - 4*v + 34. Let p = j - 6. Calculate the remainder when 33 is divided by p.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 50 divide 78350?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tk when two letters picked without replacement from {d: 1, t: 4, k: 2, x: 1}.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 126996 to the nearest integer?\nAnswer: 356","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 722 = -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -1021211124 (base 5) in base 7?\nAnswer: -24056600","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 61723.53km?\nAnswer: 6172353000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 701?\nAnswer: 701","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 93\/62836 and 81\/26944.\nAnswer: 423263296","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.286 - -189.286. Let u = -138550.871 - -138362. Let d = j + u. What is d rounded to two dps?\nAnswer: 0.13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-48)\/(1 - -2) + 2. Is -14 equal to c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.31705269*0.03.\nAnswer: 0.0095115807","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i*i\/(i*i**(-2\/9)))\/i*i)**(-4)*(i**(2\/5))**(2\/87) assuming i is positive.\nAnswer: i**(-6368\/1305)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 105*r**4 + 279 - 335*r**4 - 274 + 17*r**2 wrt r?\nAnswer: -5520*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 376312 and 2992.\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 357 + 1?\nAnswer: 358","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26*g + 40*g = i + 73, g + 3202*i = 3201*i + 2 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 998\/3 - 334. Put -2\/3, d, 1\/5, -0.1 in ascending order.\nAnswer: d, -2\/3, -0.1, 1\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 5515812*d**3 + 6613013.\nAnswer: 16547436*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 420\/(42\/7)*5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is s in -4*s**2\/3 + 748408*s\/3 - 6984096 = 0?\nAnswer: 28, 187074","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 5 + -4.52. Let o = x - 0.08. Sort -5, o, 0.3 in increasing order.\nAnswer: -5, 0.3, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -241269100 rounded to the nearest one hundred thousand?\nAnswer: -241300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 158*r = -48*r - 80*r + 858 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 43174426 - 1?\nAnswer: 43174425","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:53 PM and 6:32 PM?\nAnswer: 279","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 41.81000535 + -41.81. What is x rounded to five decimal places?\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is 8\/(-6)*((-3)\/26)\/1?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j**3\/2 + 26*j**2 - 45*j\/2 - 153 = 0. Calculate j.\nAnswer: -2, 3, 51","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((0 + sqrt(300) + 1 - sqrt(300)*-2*3) + (2 + sqrt(300)*2 + 0)**2)*4.\nAnswer: 600*sqrt(3) + 4820","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -129 in 618, -0.04, -4, -2\/5?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*d**3 - 5*d + 8*d**3 - 4*d**3 + 2)*(-6*d + 4*d + 0*d) in the form b*d + p*d**3 + a*d**4 + m + s*d**2 and give s.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = q**3 - 7*q**2 - q + 8. Let d be m(7). Let k be 2\/(-4)*d*-6. Let y(n) = 38*n + 3567. Let o be y(-94). What is the nearest to -4 in o, k, -2\/7?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-2)\/(-4) - (-14)\/4. Suppose 72*d - 70*d = w. Let n(x) = x**2 - x - 2. Let z be n(3). Solve z*q - d - 2 = 0 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*q + 20 = 2*f, -29 + 15 = -3*q - f for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 69 + 0 + (-9730 - -9728)?\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/129 > 1\/18?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in t + 0*t - 810*t**2 + 2360 - 2360.\nAnswer: -810*t**2 + t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (6\/(-9))\/((-4)\/6). Let n be (-46)\/14 + 16\/56. Let m(q) = 2*q + 2. Let l be m(n). Sort l, 4, k in increasing order.\nAnswer: l, k, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0169671013 rounded to six dps?\nAnswer: -0.016967","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 507 minutes before 1:57 PM?\nAnswer: 5:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 28321 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 26 divide 1066?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2947?\nAnswer: 7, 421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 136114 is divided by 76.\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1116\/49, -0.1, 1?\nAnswer: -1116\/49","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 3\/5 of a tonne?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((sqrt(12)\/sqrt(2) - sqrt(6)) + sqrt(6))*-6)\/((sqrt(75)*2 - sqrt(75)) + sqrt(75))*-4 - (-6*(sqrt(16)\/sqrt(4))\/sqrt(2) - sqrt(4)\/sqrt(72)))**2.\nAnswer: 66049\/450","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3408060.\nAnswer: 2, 3, 5, 79, 719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 655 a multiple of 131?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 40041970?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1992 - 334655\/168. Do a and -1\/2 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u - 31 = 423. Let g(h) = 3*h**3 - 453 + u + 13*h**3 - 2*h**2. Calculate g(1).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 3 and -2334.4771414748.\nAnswer: -2331.4771414748","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (-9)\/((-63)\/14)*(-10)\/4?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*s - 3 = -15*y, -1482 = -s - 2*y - 1477 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -103*t - 6*t + 463754 - 32877. What is the greatest common factor of 118 and t?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2032, -2679, -3326?\nAnswer: -3973","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*x = 15*x + 987. Let n = x + 355. What are the prime factors of n?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 4 and 84?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = k + 11. Let g be l(-8). Suppose 5*w + c = 4*c - g, -5*c = -5*w - 5. Solve 1 = o - w*o for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k - 3 = 2*v - 11, 2*k - 12 = -3*v. Which is the closest to 0.1? (a) 1\/2 (b) -6 (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -2 + -1a9b85c?\nAnswer: -1a9b85e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u\/(u*u**(2\/5)\/u*u*u)*u*u*u**3\/u assuming u is positive.\nAnswer: u**(13\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a = -4*h + 12905, -14 = a - 11. What are the prime factors of h?\nAnswer: 2, 13, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 - t - 1 + (-4 - 1 + 3)*(t + t - 4*t) + 3*t + 2*t - 4*t + 14*t - 3*t - 6*t - 1309*t + 1268 + 1272 - 2540)*(3 - 1 + 0) in the form j*t + z and give j.\nAnswer: -2600","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -684 = -89*g + 206. Calculate the remainder when 336 is divided by g.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17340 a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*a - 20*a - 41 + 144 - 103.\nAnswer: -13*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 21, -3, -2 in ascending order.\nAnswer: -3, -2, 21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -910584*5\nAnswer: -4552920","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 21250, 85018, 191298, 340090, 531394?\n\"Answer: 21256*c**2 - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 4 + -4544?\nAnswer: -4540","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (96*(-54)\/(-3888))\/((16\/(-18))\/2)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 1508, 3025, 4546, 6077, 7624, 9193, 10790, 12421?\n\"Answer: s**3 - 4*s**2 + 1522*s - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (242*r + 243*r - 476*r)*(-185*r - 93*r + 46*r).\nAnswer: -2088*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o - 25 = 0, 2*v + 41*o - 46*o = -19. Let a(x) = 2*x**3 - 2*x**2 - 3. Determine a(v).\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 84.20264 centuries to months.\nAnswer: 101043.168","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.1 (b) 16 (c) 1\/3 (d) 3 (e) -49\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -145 + 116. Let h(n) = -n**3 - 29*n**2 - 21*n + 58. Is h(y) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + -6*sqrt(2448)*3)**2.\nAnswer: -432*sqrt(17) + 793153","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*i**2 - 31480*i - 61936900 = 0.\nAnswer: -3935","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Product of -3 and -3442.\nAnswer: 10326","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -475854, -475857, -475860?\n\"Answer: -3*t - 475851","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -137*i**3 + 5*i**2 - 13 wrt i.\nAnswer: -822","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:45 AM and 12:56 PM?\nAnswer: 611","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 9926 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 15631439 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -70 + 28. Let t = n - -70. Does 15 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13234541 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = 3*r - 8*r. Suppose -2*u - 3*j + 24 = 0, 9*j = 4*u + 4*j - 4. Determine o, given that 19*o**r - 14*o**2 - o - u*o**2 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*v + v + 0*v)*(213 - 213 - 58*v**3) - 2*v**2 - v**4 + 2*v**2 as i*v**2 + p*v**4 + u*v + f*v**3 + g and give p.\nAnswer: -59","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*l + 14 - 3 = 5*r, r - 5*l = -9 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -2*f**2 + 2*f - 1. Let o be (-6)\/2*1\/(-3). What is n(o)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2959\/195 - 186\/13. What is the common denominator of n and -26\/9?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1847768 divided by 52\nAnswer: 35534","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -469, -3, -27, -2\/13, 0?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 14301, 57234, 128819, 229080, 358041, 515726?\n\"Answer: 4*w**3 + 14302*w**2 - w - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*q**2\/3 - 2088850*q - 6266544 = 0 for q.\nAnswer: -3133272, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c - 94 + 82 = -5*k, -4 = 4*k + c. What is the biggest value in k, -0.6, 1\/6, 27?\nAnswer: 27","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 364 and 56.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.1, 2709, -1, -3\/11, -1\/10 in decreasing order.\nAnswer: 2709, 0.1, -1\/10, -3\/11, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n + 2*a - a - 47 = 0, -2*n + 5*a + 8 = 0. Let g = n - -20. What is the tens digit of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3809 - 3780*y - 1910 - 1898 - 4*y**2 + y**3 + 0*y**2 - 429*y**3 wrt y.\nAnswer: -2568*y - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = 0 + 8 + x - 7 - 3*x. Let j be (-18)\/21 - (-54)\/14. What is y(j)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 12*u - 60 - 264. Is 3 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14623618.\nAnswer: 2, 7311809","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1 - (-9)\/(-14)*-208. Let q = 135 - z. Let x = 0 - q. Which is smaller: -1 or x?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 28 (base 12) in base 13?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*g - 12 = 4*g. Let z(q) = 3*q**2 + q - 4. Suppose 0 = -17*a + 31*a - 28. Calculate the lowest common multiple of z(g) and a.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 10.01666 + -5.01667. Let r = b + -5. Round r to four dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 24518 (base 10) to base 9\nAnswer: 36562","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 398 - 218. Let v = -173 + m. Calculate the greatest common factor of 14 and v.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 74619417 to the power of 1\/6, to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is b + 3e58?\nAnswer: 3e64","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2*m**4 - 16*m**3 - 734*m**2 + 3*m + 3705979?\nAnswer: 8*m**3 - 48*m**2 - 1468*m + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 1833 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) be the first derivative of d**5 + 155*d**4\/4 - 160*d**3\/3 - 6595. Factor z(p).\nAnswer: 5*p**2*(p - 1)*(p + 32)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-198)\/(-15))\/(24\/(-36)*(-45)\/(-75)).\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 65836542.\nAnswer: 2, 3, 37, 296561","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5056412100?\nAnswer: 2, 3, 5, 59, 285673","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) be the second derivative of -10*w**3\/3 - 22*w**2 - 4*w + 45. What is x(-6)?\nAnswer: 76","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + p + 7328 = 0, 3*m - 6071 = -3*p + 4903. Is m a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.33722 + 4.33722. Sort d, 0.12, -7\/24 in increasing order.\nAnswer: -7\/24, 0.12, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((3 - 4) + -1 - -6) + -11?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 divided by 12707.\nAnswer: 1\/12707","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*u + u + 3*u - 123 - u.\nAnswer: u - 123","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -h**2 + 5*h + 3. Let b(d) = 17*d**2 - 66*d - 9. What is -b(n) - 3*q(n)?\nAnswer: -14*n**2 + 51*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) be the third derivative of q**6\/180 + 49*q**5\/90 + 95*q**4\/36 + 47*q**3\/9 + 41*q**2 + 3. Solve m(n) = 0.\nAnswer: -47, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 443627235 to the power of 1\/2, to the nearest integer?\nAnswer: 21062","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 0 + 3)*(-s + 0*s + 0*s) + 0*s - 2*s - s + 0 + 0 + s + (1 - 4 + 4)*(5*s - 2*s - 2*s) + 4*s - s + 2*s.\nAnswer: 6*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 25, 163, 395, 721, 1141, 1655?\nAnswer: 2263","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -1329*n**3 + 3*n + 1241*n**3 - n as o + l*n**2 + r*n + y*n**3 and give r.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jj when two letters picked without replacement from zjzzjuzzmmjmmz?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 19206167.\nAnswer: 137, 140191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*d + 58 = 35 + 49 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -l**3\/3 + 64*l**2\/3 + 45*l - 66.\nAnswer: -(l - 66)*(l - 1)*(l + 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 1*-4*7\/84?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1606762 is divided by 34?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*m**5 + m**4 + 326911*m**3 + 868281*m**2 wrt m.\nAnswer: -120*m**2 + 24*m + 1961466","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*n**3 - 5*n**3 - 11*n**3)*(-3 - n + 3) + 2*n**4 + n**4 - 5*n**4 + (17*n + 17*n + 68*n)*(-2*n + 2*n + 2*n**3).\nAnswer: 216*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -70717989 - -70718023.000027. Let h = 83 + -49. Let j = h - u. What is j rounded to 5 dps?\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 24600 to the power of 1\/2, to the nearest integer?\nAnswer: 157","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1042.\nAnswer: 2, 521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 59724106?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 710 minutes after 12:45 AM?\nAnswer: 12:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = k**2 + 27*k - 2861. Give y(-68).\nAnswer: -73","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 423 (b) 26 (c) -2\/11 (d) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3881?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 5061 - 4961. Sort t, -8, 3.\nAnswer: -8, 3, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 39, 34, 3, -42, -89?\nAnswer: -126","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) be the second derivative of -1\/6*i**3 + 0 + 0*i**2 - 2*i. Let s(h) be the third derivative of -h**4\/24 + 2*h**2. What is q(s(l))?\nAnswer: l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 423 minutes after 12:15 AM?\nAnswer: 7:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 6228655 or 6228624?\nAnswer: 6228624","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -138730077*h**3 - 439*h**2 + 2*h - 2387.\nAnswer: -832380462","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Work out 693013 * -0.05.\nAnswer: -34650.65","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 2, c: 3, z: 5, p: 7}. What is prob of sequence cc?\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Do 11.5 and 0.02 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -21*w - 21*w + 56*w - 22*w.\nAnswer: -8*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 132?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y = 5*a + 7*y - 2066, a = 5*y + 390. List the prime factors of a.\nAnswer: 2, 5, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -144213 - -2479673\/17. Let b = h + -1654. Let z = b - -64\/17. Put z, 0, -0.3 in increasing order.\nAnswer: -0.3, z, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) be the second derivative of -j**3 - 4*j. Let h(d) = -4*d**2 + d**2 + 4*d**2. Give k(h(x)).\nAnswer: -6*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 600960 and 24?\nAnswer: 600960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -6*f**2 + 29*f + 284. What is k(-5)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1773 - -3422. Is z composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 97069.45 centuries?\nAnswer: 970694.5","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 720, 714, 694, 654, 588, 490, 354?\n\"Answer: -u**3 - u**2 + 4*u + 718","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-10)\/(-12)*(-8)\/(-45 + 5). Let h(d) be the second derivative of -1\/24*d**4 - 4*d + b*d**3 - 1\/4*d**2 + 0. Factor h(j).\nAnswer: -(j - 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*q + 0*q + q)*(-64 - 50 + 37) in the form b + v*q and give v.\nAnswer: 154","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: ((-6)\/(-105))\/(1\/(1260\/(-28)))\nAnswer: -18\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1578 and 14.\nAnswer: 11046","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a day in minutes?\nAnswer: 864","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 13608?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -76, 11, 1, 2, -5 in decreasing order.\nAnswer: 11, 2, 1, -5, -76","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 641*w - 613*w. Suppose 0*a**2 + 4\/5*a**5 - 8\/5*a**3 + w + 0*a + 4\/5*a**4 = 0. Calculate a.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1073362?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1\/(((-28)\/(-8))\/(-7)). Suppose 2*m - 4*m = 4. Is m > f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -7208 in -2, -0.8, 2\/3, 195, 1\/4?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -p**2. Let j be h(0). Let t = 9 + -11. Let i = t + 3. Solve -u + i = n, n + j*n - 5 = -2*u for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -7946*j. Let c(l) = 2*l. Calculate t(c(z)).\nAnswer: -15892*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -6, -0.064, -1, -3, 1.1, 0.13, 0.2?\nAnswer: -0.064","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 283432 and 568.\nAnswer: 568","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 greater than 6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -d3 - 5?\nAnswer: -d8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = 2*c**3 + 2*c**2 - 4*c + 3. Suppose 3*u - 4*u = 4. Let z(q) = 2*q**2 + 5*q - 4 - 4*q**2 - 4*q**3 + q**3. Let i(r) = u*x(r) - 3*z(r). Factor i(f).\nAnswer: f*(f - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 260 and 33540?\nAnswer: 33540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 623 - 17c?\nAnswer: 474","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -230121 divided by -10.\nAnswer: 230121\/10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor -j**4\/3 + j**2 + 2*j\/3.\nAnswer: -j*(j - 2)*(j + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*g = 10*g + 1256. Let i be (3 + -3 + (-2 - -3))*g. Suppose 3*k + 2*n = 755, -5*k - n = -0*k - i. Is k composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = t + 34. Let o be i(10). Let b be (-154)\/o*(-4)\/7. Which is bigger: 3\/4 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 40009741?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: Solve -5*r + 555*j - 557*j = -22, -3*j - 1 = -r for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*r**3 - 2*r**3 + 15*r**4 + 5*r**3 + 2*r**4 - 3*r**4 + 4*r**4 - 3*r - 2*r**4 + 3*r + (4*r**3 - 2*r**3 - 3*r**3)*(r - 4 + 4) + 2*r**4 + 3*r**4 - 3*r**4.\nAnswer: 17*r**4 + r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-6)\/(-10))\/((-22)\/(-660)). Solve -p = 4*o + k, p = -4*o - p - 20 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15121737823 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.46 + 1.57. What is i rounded to zero dps?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 5 + -1. Suppose 0 = r - 0*x + 5*x + 2, -7 = -r + 4*x. Suppose r*s - 2*d = 161, -a*d + 65 = s + d. Is s prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is three tenths of a century in months?\nAnswer: 360","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*h + 2685 - 2674 - 8*h.\nAnswer: 4*h + 11","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 4646734 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v + 6 = v. Let c be v + (-26)\/40 + -2. Let s = -2\/5 - c. Which is smaller: 0 or s?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*p**2 + 2*p**2 - p**2)*((-2*p + 0 + 0)*(2*p - 6*p - p) - 6*p**2 - 5*p**2 + 2*p**2).\nAnswer: -2*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3 - -2. Suppose -14 = -3*r + 4*v + 6, -36 = -f*r + 4*v. Let c = 15 - r. Is c a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h + 5*x = 95, 2*h - 5*x - 30 = -0*h. Suppose -16 - 14 = -3*o. Calculate the greatest common divisor of o and h.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -n**3 + 12*n**2 - 9*n - 20. Let a be j(11). Let s(r) = 1 - 13*r + 18 - a. Is s(-14) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 6512 and 315832?\nAnswer: 631664","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1474061482 to the nearest integer?\nAnswer: 38394","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 1957670 divided by 143?\nAnswer: 13690","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 416018 divided by -416018?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 174\/34 + 2\/(-17). Let q(m) = -m**3 - 6*m + 5. Let t(g) = -g**3 - 5*g + 4. Let r = -29 + 25. Give j*t(b) + r*q(b).\nAnswer: -b**3 - b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -2*o**2 + 2*o + 3. Let v(x) = 23*x**2 + 24*x - 12. Give 4*p(h) + v(h).\nAnswer: 15*h**2 + 32*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is -135\/7 less than or equal to -20?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -3\/979016 and 31\/672.\nAnswer: 82237344","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -25752042 + 25751542.00518. Let a = 500 + m. What is a rounded to four dps?\nAnswer: 0.0052","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 393?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-50 - 36 - 3*q + 74)*(q - 2 + 2 + (q - 2*q + 2*q)*(-2 - 2 + 2) - 3*q + 5*q + 2*q).\nAnswer: -9*q**2 - 36*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3634 is divided by 403.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (615\/(-328))\/((-3033)\/216 - -14).\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-15)\/12240*-32)\/(9\/(-189)*7).\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((100\/(-5))\/(-20))\/1. What is the second biggest value in -0.1, -2, 1\/7, k, -2\/7?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -8*y**3 - 31*y**2 - 2. Let i(n) = -39*n**3 - 156*n**2 - 11. Let h(x) = 11*c(x) - 2*i(x). Find the third derivative of h(s) wrt s.\nAnswer: -60","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x + 3 = 2*s - 9, 0 = -5*s - 4*x + 28. Suppose 5*k + s*y - 2*y = 30, y + 45 = 5*k. Calculate the remainder when 13 is divided by k.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (4\/12)\/((-13)\/39)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 682 minutes after 11:28 AM?\nAnswer: 10:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -27*s - 4. Let g(x) = -14*x - 2. Suppose 0 = 3*j + 4*a - 1, 13*a - 9*a - 15 = -5*j. Determine j*g(i) - 3*p(i).\nAnswer: -17*i - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -l. Let a(g) = 92*g**2 + 1 - 98*g**2 + 6. Determine o(a(r)).\nAnswer: 6*r**2 - 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -9*q - 8*q + 0*q. Let p be (11 - (5 - 3)) + 2*-2. Let m(l) = -2*l + p*l - 4*l. What is i(m(h))?\nAnswer: 17*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find i such that 4\/7*i**4 + 36\/7*i**2 - 6*i**3 + 0 + 0*i + 2\/7*i**5 = 0.\nAnswer: -6, 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x + 158 = -p, p + 126 = -2*x + 6*x. Let n = 4 + -4. Suppose n = 3*f - 6 - 9, -5*q + 65 = 2*f. Calculate the remainder when x is divided by q.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -59*r + 1651. Let f be k(27). Solve f*v - 48 = 52*v for v.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-240)\/12900)\/((-44)\/(-44)*(-2)\/5).\nAnswer: 2\/43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*o + 306 + 40 + 276 - 1111 - 59 to the form b + r*o and give r.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + j + 4*a + 56 = 0, 5*j - 200 = 4*a. Let w = j + -34. Is 1415\/2 - 1\/w a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13251304 to the power of 1\/5, to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 2, x: 1, d: 1, k: 3, c: 2, i: 6}. What is prob of sequence kdk?\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 7, a: 2, o: 4}. Give prob of picking 2 m.\nAnswer: 7\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w - 4 = 0, f + 0*w - 93 = -3*w. Calculate the greatest common factor of 312 and f.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3\/4 in -3, -2\/15, -46?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (13\/(-8)*-4)\/(2\/4). Suppose -2*s + n - 5 = 0. Suppose 0 = -s*x + 4*i + 556, -3*x = -4*x - i + 133. What is the units digit of x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 281769 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 102\/595*(-10)\/(-4).\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 42 + -40. Let c(k) = 2 + k**x + 0*k**3 - 6*k**3 - 3 + 0. Give c(-1).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 84 = 41*r - 39. Suppose 10*q = 15*q - 515. Calculate the least common multiple of r and q.\nAnswer: 309","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 5*i + 5*b, -7*i + 40 = -2*i - 5*b. Suppose -2*v + 10 = 2*n, -3*n - i = -n - v. Let f = n + 1. Solve -x - f = -3 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6479.731 minutes in microseconds?\nAnswer: 388783860000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1283 + 1275. Suppose -p + 2 = -0*p. Put -1, p, i in decreasing order.\nAnswer: p, -1, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4019998, -8040011, -12060008, -16079983, -20099930, -24119843, -28139716, -32159543?\nAnswer: -36179318","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -9*a**3 + a**2 - 3*a - 1. Let u(x) = -17*x**3 + 2*x**2 - 5*x - 2. What is -5*j(c) + 3*u(c)?\nAnswer: -6*c**3 + c**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 432*u**4*x**2 - 2*u**2*x**3 - 128*x**3 - 2 wrt u?\nAnswer: 1728*u**3*x**2 - 4*u*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -3*v**3 - 2*v**2 - 2. Let z(x) = 3*x**2 - 2*x + 2. Let q be z(2). Suppose 4*f = k - q, -4*k + 3*f = k + 1. What is the tens digit of s(k)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 10164, 20670, 31176, 41682?\nAnswer: 52188","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -35 + 53. Suppose -4*r = p - 6 - 8, 4*r = p + i. Let o(k) = -72*k + 1. Is o(p) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 37*c**3*j**2*y**2 + 9*c**3*j**2 + 11*c**2*j**2*y**2 + 2*c**2*j**2*y - 19*c**2*y + j**2*y wrt c.\nAnswer: 222*j**2*y**2 + 54*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -28 - -32. Suppose -2 = -2*v + u*v, 2*a - 4*v = -92. Find the common denominator of -77\/18 and (-34)\/60 + (-32)\/a.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k + 5*d = 0, 0 = -7*d + 3*d - 16. Let y(q) = 7*q**2 - 4*q - 9. Let g(t) = -t**2 + t + 2. Let r(l) = -6*g(l) - y(l). Give r(k).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 50464147 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.4, 4, 1\/69, 2\/91, -600, -3?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -m + 5. Let a be l(0). Suppose -5*h + 36 = 3*d - 2*h, -d - a*h - 8 = 0. Solve -c + d = -3*t, 4*c - 8 = -2*t - t for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.099 minus 43116?\nAnswer: -43115.901","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -183, -736, -2019, -4398, -8239, -13908?\nAnswer: -21771","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4760159?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -g**3 - g**2 - g - 3. Let v be d(-3). Suppose 4*z - z = -v. Let q(s) = -s**2 - 8*s - 9. Calculate q(z).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 136*u + 1368 + 1616 = 509*u for u.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 29 + 115 = 3*t. List the prime factors of t.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -420230000 to the nearest one million.\nAnswer: -420000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/8*(-80)\/(-70)?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -20036 (base 7) to base 15\nAnswer: -166e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (6 + -1)\/(2 - 1). Suppose c + s = -3*c + 1624, 0 = 5*c + 3*s - 2037. What are the prime factors of (-1)\/q - c\/(-25)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 17602 is divided by 359.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d - d + 4*t = 10, 0 = 2*t - 8. Let o(h) = 3*h**2 + 2*h - 26. What is the remainder when 15 is divided by o(d)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0001281915 to five dps.\nAnswer: -0.00013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 10 (base 7) to base 8\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2485*t = -528*t + 23616 + 66774 for t.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 975\/25 - 39 - (95\/3)\/(-5)?\nAnswer: 19\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 208*u = 210*u + 8 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (364\/(-1729))\/(((-6)\/24*-2)\/(228\/(-24))).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-160)\/12)\/5)\/((-6)\/9).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(171) - -3*(-1*sqrt(171) - sqrt(171)))\/sqrt(9))**2.\nAnswer: 475","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 328 divided by -2\nAnswer: -164","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-195)\/(-60)*8\/156.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*m + 180 = 30*m. Let y be 0 + (m\/24)\/((-3)\/(-4)). Are 12\/7 and y nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (109 - 113)\/(1*2)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 5742?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = x**2 + 5*x - 9. Let y be i(-9). Let q = y + -11. Is q a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 135 divide 244206495?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -273 - -283. What is the remainder when 138 is divided by u?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine y so that 2*y**4\/3 + 220*y**3\/3 + 144*y**2 = 0.\nAnswer: -108, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -z**2 + 100*z + 15463. Determine p(-85).\nAnswer: -262","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.01176327084 rounded to six dps?\nAnswer: -0.011763","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.0313 and 0.6.\nAnswer: -0.01878","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1233330223 - -23?\nAnswer: 1233330312","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 6 - 2. Is (-160)\/(-24) + q\/(-6) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = c + 4*b + 16, -2*c - 2*b + 7*b = -20. Suppose c*w - w = -43. Is w a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = 150*y**2 - y - 2. Let i(d) be the first derivative of d**4\/4 - 7*d**3\/3 + 7*d**2\/2 - 7*d - 6. Let t be i(6). Is z(t) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p**3 - 109*p**2 + 3024*p - 2916 = 0. What is p?\nAnswer: 1, 54","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -265\/6 - -1867\/42. Suppose 3*z = 2*z. Suppose -99 - 12 = 3*o. What is the fourth smallest value in o, b, z, -1?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1627434013 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 148326410.\nAnswer: 2, 5, 14832641","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -187*l**3 + 18*l**2 - 14*l - 2. Let z(b) = -b**3 - 3*b**2 + 2*b. Determine -k(g) - 6*z(g).\nAnswer: 193*g**3 + 2*g + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yyuu when four letters picked without replacement from {u: 11, y: 3}.\nAnswer: 5\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 + (2 - (4 + -2)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1651 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 35 + -29.2. Let u = q + -6. What is the closest to 1 in 1, 0.2, u?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -40 + 23 - -20 - (-1 + 23)?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.062 in -0.5, -3, 0.03?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*b**4 + 495*b**3 + 999*b**2 + 501*b.\nAnswer: -3*b*(b - 167)*(b + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-2)\/(-14)*(2 + 1). Let m = -744880 + 744880. What is the closest to m in -21, -0.4, 0.3, b?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -30, -28, -40, -72, -130, -220, -348?\nAnswer: -520","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -64008*l**3 - 91296*l**3 + 43733*l**3.\nAnswer: -111571*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 46, 83, 94, 67, -10, -149, -362?\n\"Answer: -2*f**3 - f**2 + 54*f - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -50, -95, -138, -173, -194, -195?\nAnswer: -170","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 16617 - 14445. Is r a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) be the first derivative of 3 - 7*u + 0*u**4 - 7\/5*u**5 + 0*u**2 + 0*u**3. Differentiate w(v) wrt v.\nAnswer: -28*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -141, -228, -303, -366, -417, -456?\nAnswer: -483","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 567 divided by -189?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*g**3 - 1 + 1 + (-4*g + 5*g - 3*g)*(0*g + g**2 + 0*g) - g**3 - g**3 + g**3 + 0*g**3 + 2*g**3 - 3*g**3 + 0 + g**3 + 0*g**3 + 3.\nAnswer: -5*g**3 + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 288800 and 350?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2836 by 5272.\nAnswer: -709\/1318","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/(((-1470)\/(-6664))\/(5\/8)).\nAnswer: 17\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*x - 7835 = 3*x. Is x a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00045224 to six decimal places.\nAnswer: -0.000452","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 339948050 to the power of 1\/3, to the nearest integer?\nAnswer: 698","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 366 is divided by 16.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26 = 17*o + 2*s, -3*o + 7*s + 190 = 224 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = z**2 - 15*z - 8. Calculate t(16).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -60.6 and 0.1?\nAnswer: -6.06","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 993609 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 5, h: 1, z: 4}. Give prob of sequence ho.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xy when two letters picked without replacement from {v: 3, y: 1, x: 1}?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (sqrt(72) - sqrt(2))**2*-4.\nAnswer: -203","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9416 = -63*j + 648 - 2819 for j.\nAnswer: 115","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 38*b - 120 = 18*b. Suppose 16 - 3 = -2*k + 5*l, -15 = -3*l. Let r(n) = 5*n - 21. Calculate the remainder when r(k) is divided by b.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i - 5*t = -514, 4*i + 5*t = 94 + 954. What is the remainder when i is divided by 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1401 or 1068?\nAnswer: 1068","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 169049 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*z + 5 + 7 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 4319.51 decades?\nAnswer: 43.1951","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*w + 2*w - 2*w)*(-127*w - 261*w - 971*w) as i*w + t*w**2 + l and give l.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h + 3*t - 121 = -5*h, 2*h = 5*t + 286. Calculate the greatest common factor of h and 19.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (26698\/2 + -3)*11\/22 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2995071*f**2*g**2*n - 61*f**2*g - 135*f**2*n**2 + 2*f*g*n + 1088*f*g + 5*g**2*n**2 wrt g?\nAnswer: 5990142*f**2*n + 10*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -49*l**3 - l**2 + 8*l - 3. Let r be x(-6). Let q be 100\/(-2 + r\/5250). What is q rounded to the nearest 10000?\nAnswer: -180000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find o such that -46*o**2 + 75293*o + 14733 = 0.\nAnswer: -9\/46, 1637","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 1 - 129363*d**3 + 129365*d**3.\nAnswer: 2*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f**4 + 3195*f**3 + 53200*f**2 + 205260*f = 0. What is f?\nAnswer: -622, -11, -6, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(2\/11)\/y**8)\/(y**8*(y\/(y\/y**(-3)*y))\/y)*(y**(-2\/27)\/y**(-1\/14))**(-15) assuming y is positive.\nAnswer: y**(-14939\/1386)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4, 48, 122, 226?\nAnswer: 360","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1.2? (a) 1\/4 (b) -0.4 (c) -14\/2269\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 - 2 + 1 - 5*n**2 in the form w*n + i*n**2 + m and give i.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -20205052 (base 6) to base 2\nAnswer: -10001100110000011000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -5*p**2 - 4*p + 3. Let n be s(1). Let c be -111*n*4200\/(-54)*250. Round c to the nearest one million.\nAnswer: -13000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*r - 2*r - 4*r)*(15*r + 3*r - 19*r - 421).\nAnswer: 10*r**2 + 4210*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1933 - 992. Is s prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 33\/2, 11, -3?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3.6 + 1.3. Let t = v + -7.9. Let p = -0.093 - -0.093. Sort p, t, 22 in descending order.\nAnswer: 22, p, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 13, 4, -21, -68, -143, -252, -401, -596?\nAnswer: -843","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 87 and 17.\nAnswer: 1479","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4922*j**2 - 2494*j**2 - 2460*j**2.\nAnswer: -32*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = 10*h + 2. Let y be 11\/(-66) + (-13)\/(-6). Let c(r) = 0*r**2 + 3*r**2 + y*r**2 - r**2. What is c(d(w))?\nAnswer: 400*w**2 + 160*w + 16","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -57.29 * 0.14\nAnswer: -8.0206","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -70*n**3 + 139*n**2 - 65*n + 14. Let z(q) = -140*q**3 + 278*q**2 - 131*q + 23. Let y(g) = -5*k(g) + 3*z(g). Suppose y(s) = 0. What is s?\nAnswer: -1\/70, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = 6133*l - 12261*l + 6131*l. Let y(m) = -2*m**2 - 35*m. What is g(y(n))?\nAnswer: -6*n**2 - 105*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w - n + 28 = -5*n, -4*w - 5*n + 46 = 0. Calculate the lowest common multiple of w and (3\/6)\/(3\/426).\nAnswer: 639","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15739 a multiple of 55?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*(1\/(-2))\/(22\/(-44)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3 (base 4) to base 15.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = q**3 - q**2 + q - 1. Let i(b) = -2*b**3 + b**2 - b + 17. Let v = -4102 - -4103. Give v*x(o) + i(o).\nAnswer: -o**3 + 16","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qquf when four letters picked without replacement from {f: 2, q: 2, u: 1}.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10082753.\nAnswer: 10082753","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 636 and 117183.\nAnswer: 159","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = g**2 - 36*g + 109. Determine u(33).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = p**2 + 3*p + 32. Determine x(0).\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express 4969*o - 1028*o + 472*o in the form c + i*o and give i.\nAnswer: 4413","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f = -6*f + 30. Is (18\/8)\/(f\/160) a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 8046 and 1639.\nAnswer: 88506","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gehjejehgahapeegjejj. Give prob of picking 2 a.\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:35 AM and 1:25 PM?\nAnswer: 710","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -10 - -26?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -4, -10, -5, 0.08, 2\/13?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*m = -9*m + 2. Solve -v = -0*v - m for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3099?\nAnswer: 3, 1033","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 1010001111110010001 (base 2) in base 9?\nAnswer: 561517","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -16*z - 59. Let l be k(-4). What is the lowest common multiple of -5*(-2 - 56\/l) and 42?\nAnswer: 462","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(3) - (sqrt(363)*-3)**2) + -5*sqrt(18)\/sqrt(6).\nAnswer: -3267 - 4*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 211189?\nAnswer: 11, 73, 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a - 22 = -3*g - 9, -5*g + 5 = 0. Does 20 divide (-6)\/12 - (-61)\/a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -111*k**2 + 5*k**2 + 636*k - 357*k - 279*k.\nAnswer: -106*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 + (0 - (-1 - (-4 - -3)))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o**(-17)\/(o*o\/(((o\/(o*o*o**3))\/o)\/o)) assuming o is positive.\nAnswer: o**(-25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -173*c - 15 = -174*c - 4*x, -x + 5 = 0 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -912 and 40121.\nAnswer: -36590352","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 9 - 18. Let o = r + 5. Let w = -1 - -1. What is the nearest to 1 in w, o, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1520406 to the nearest integer?\nAnswer: 115","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 21 - 10. Let q = 11.4 - o. What is the closest to 0.2 in -2, -3\/2, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 (base 11) in base 14?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 28154606189 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -173417996, -173417999, -173418002, -173418005, -173418008, -173418011?\nAnswer: -173418014","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 9264189?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.4 + 0.4. Let l be 4\/(-9) - 8\/36. Which is the nearest to j? (a) 3 (b) -0.4 (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cccc when four letters picked without replacement from {c: 10}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*sqrt(7)*-1 - sqrt(7)) + 5.\nAnswer: 5 + 4*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 259018 to the nearest integer?\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1541 and 134.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -4169 + 9636. What are the prime factors of h?\nAnswer: 7, 11, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -2*v + 4. Let g(u) be the first derivative of -u + 3. Calculate 6*g(a) + j(a).\nAnswer: -2*a - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -23 - 24232?\nAnswer: -24310","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2 - -5. Let l be (-2 - (-8)\/3)*v. Suppose 2*p - 4*p + 2*h + 16 = 0, -p + 17 = l*h. What is the tens digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1\/2*g**4 + 0 + g**2 + g + 1\/4*g**5 - 3\/4*g**3 = 0.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17 = -3*a + 2*l - 4, -2*a + l = -8. Suppose -5*g + m = 5, -m = g - 6 + 1. Let h be 4 + (-2)\/4*g. Solve -3*u + 12 = -q, -27 + 0 = -h*q - a*u for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 3 - 2)*(2233*k + 3288*k - 1484*k).\nAnswer: -8074*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 44 and 1254?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = 21*o + 334. Calculate n(-19).\nAnswer: -65","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = -i + 5*m - 2, 4*m = 16. Let c(q) = 5*q - 29. Let s be c(i). Calculate the highest common divisor of s and 208.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = 2*x**3 + 3*x**2 - 5*x + 4. Let u be a(1). Suppose -56*m + 60*m - 4*v + 12 = 0, 0 = 2*m - u*v + 12. Determine f so that m*f + 0 + 3\/4*f**2 = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.2 (b) -67 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 474*-0.8.\nAnswer: -379.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 14853?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 39738906 to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/w**(2\/11)*w**(-18\/5))\/(w**(2\/3))**(-20\/9) assuming w is positive.\nAnswer: w**(-1931\/1485)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1307 or 1310?\nAnswer: 1307","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n - 4*n + 529 = 4*x, n = 3*x - 398. Is x prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 33 divide 2210337723?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 235 + -234. Let p = 0.8 + -5.8. Which is the biggest value? (a) 0.02 (b) x (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-63)\/(-27)*8\/84)\/(-2)?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -59850 divided by 210?\nAnswer: -285","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m - 37 - 4114 = 4*z, -2*z - 2*m = 2086. Sort -1, 3, z in increasing order.\nAnswer: z, -1, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-2660)\/(-25) + 6\/(-15). Let b be 2\/t*(-112)\/9. Let n = b + 2\/159. Sort -4, n, -5.\nAnswer: -5, -4, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/(6\/81*63)\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 135056.59 - -42454.51. Let o = 177518.29343 - r. Let x = o - 7.19. What is x rounded to three dps?\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zxxfffxofxxzwoowwxx. Give prob of picking 2 f and 2 z.\nAnswer: 1\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1227 and 3342012.\nAnswer: 1366882908","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -147496, -147525, -147558, -147595, -147636?\nAnswer: -147681","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = j + 8 - 13 + 7 + 3*j**2. Let n be l(-1). Solve -14 = n*b - 4*t - 2, b - 2*t + 7 = 0 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((d*d**(-18\/11))\/(d**(-22)*d))**(7\/2))**(-48) assuming d is positive.\nAnswer: d**(-37632\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = 12*j**2 + 1 - 5*j**2 + 20*j**2. Let y = 142361 + -142360. Determine d(y).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 7415 + -7261. What is the remainder when y is divided by 28?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -114, 37, -1\/4 in increasing order.\nAnswer: -114, -1\/4, 37","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 24809 is divided by 8267.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 14.1 * -0.053\nAnswer: -0.7473","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) be the third derivative of -h**5\/60 + h**2. Let q be (-12)\/3 + 17\/(13 - -4). Determine m(q).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13945*c**2 + 25493*c**2 - 6132*c**2 + 2*c - 2*c.\nAnswer: 33306*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -579*g + 1996 - 3390 - 5554 for g.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 18\/15*(60\/(-9))\/2\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((9\/8)\/(33\/(-418)) - -13)\/((-13)\/(-208))?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*x + 12*x - 10 = 0. What is the units digit of -4 + x + -3 + 42?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:40 PM and 5:50 AM?\nAnswer: 430","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c + 55*w - 59*w = 1284, -5*c = 5*w - 1565. What is the remainder when c is divided by 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 72*i**3 - 69*i**3 - 3*i + 3*i.\nAnswer: 3*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z, 1 h, and 1 v when three letters picked without replacement from {z: 5, v: 1, h: 3, m: 3, w: 1}.\nAnswer: 15\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 7133930 a multiple of 95?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 407 divided by -11?\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 917.2818 weeks in milliseconds?\nAnswer: 554772032640","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -10825, -10841, -10863, -10891, -10925, -10965, -11011?\n\"Answer: -3*s**2 - 7*s - 10815","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 181*d = -2840 + 306 for d.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -8.97537714 from -0.5.\nAnswer: 8.47537714","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 124031 to the power of 1\/2, to the nearest integer?\nAnswer: 352","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = 2*u**2 - 8*u - 8. Calculate the remainder when 61 is divided by z(6).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -29*k - 6. Let w(q) = 2*q + 4. Suppose 2*i = 2*y + 10, -3*y + i + 0*i - 17 = 0. Let j be w(y). Is v(j) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(7) + 0 + 5 + sqrt(7) + 5 + sqrt(7) + -3)**2.\nAnswer: 42*sqrt(7) + 112","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -79*z**3 + 79*z**3 + 3*z**4 + (-8 + 8 + 3*z**2)*(-3*z**2 - 2*z**2 + 3*z**2)*(-3 - 3 + 3).\nAnswer: 21*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 439604228 divided by -15700151?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:49 PM and 3:31 AM?\nAnswer: 702","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*q**3 - 3*q**3 + 2*q**3 + 9*q**3 + 4 - 4 + (-2*q + 4*q - 5*q)*(2 - 2 + q**2).\nAnswer: 8*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qhkhhvhhhqkkkhvhk. Give prob of sequence hvq.\nAnswer: 2\/255","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27*i = 28*i + 1. Sort 49, 1, i in increasing order.\nAnswer: i, 1, 49","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) be the second derivative of 0*u**5 + 3*u + 0 + 0*u**2 + 0*u**4 + 1\/15*u**6 - 1\/6*u**3. What is the second derivative of p(l) wrt l?\nAnswer: 24*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.25 and 3.5.\nAnswer: 0.875","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/109 in -1\/4, 4, 0.4, 3?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4, 11, 22, 37, 56, 79?\nAnswer: 106","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -44*m**4 + 16960*m**3 + 20653052*m**2 + 31887008*m + 11250960 = 0.\nAnswer: -518, -1, -6\/11, 905","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find p, given that -3*p**4\/8 + 2571*p**3\/8 - 102807*p**2\/8 + 95109*p\/8 + 100245\/4 = 0.\nAnswer: -1, 2, 41, 815","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*x - 12*x = -16 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) be the second derivative of -88*t**7\/21 + t**6\/10 + 2147*t**3\/6 - 427*t + 3. What is the second derivative of p(n) wrt n?\nAnswer: -3520*n**3 + 36*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 10874?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + 5*(1 + (-1*(-1 + sqrt(180)) - 6*(sqrt(180) + -1)))*2*-5.\nAnswer: -397 + 2100*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m - 57 = -35. Let r(n) = 2*n**3 + 30*n**2 + n + 6. What is the tens digit of r(m)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -76 - -71. What is the second smallest value in g, 3, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -3*d**3 + 117*d**2 + 122*d - 59. Give s(40).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -178*w + 926 = -676 for w.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 474*a + 61 = 413*a. Which is smaller: -51\/652 or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35*q - 37*q + 14 = 0. Solve 5*i = -3*p + q + 12, 15 = 3*i + 3*p for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -22*h**2. Let z(f) be the third derivative of 1\/30*f**5 - f**2 + 0 - 2*f + 0*f**4 + 0*f**3. What is z(s(l))?\nAnswer: 968*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4b37 (base 12) to base 16.\nAnswer: -215b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3984 is divided by 107?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -1020, -2149, -3278, -4407?\n\"Answer: -1129*f + 109","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 9297*l**2*o**2 - 6*l**2*o - 3*l**2 - 3*l*o - 178*o**2 + 841*o - 4 wrt o.\nAnswer: 18594*l**2 - 356","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.00206 * 0.4.\nAnswer: -0.000824","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 3, q: 3, y: 1, m: 2, h: 2, v: 4}. What is prob of picking 2 q, 1 m, and 1 a?\nAnswer: 6\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1449?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.232 + 0.268. Sort h, -0.3, 100 in increasing order.\nAnswer: -0.3, h, 100","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2780 a factor of 1993588040?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -4*b + 10. Let h(w) = -8*w + 7*w - 1264 + 4*w + 1253. Calculate 3*h(c) + 2*j(c).\nAnswer: c - 13","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r - 11 = 9. Let n = -6722 + 94207\/14. What is the common denominator of ((-195)\/(-9))\/(r\/3) and n?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15370.\nAnswer: 2, 5, 29, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 112043112 (base 5) to base 13.\nAnswer: 147ba2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 520.5804 kilograms to tonnes.\nAnswer: 0.5205804","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -34*i*j**6 - 47274*i*j**4 + 9100*i*j**2 + 46*i wrt j?\nAnswer: -4080*i*j**3 - 1134576*i*j","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2\/17 (b) 47 (c) 0.01 (d) 0 (e) 1314\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + 713 = 2*j + 2804, 0 = 4*j - 2*r + 4222. Let l = j - -1201. Does 2 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-16)\/10)\/((-136)\/(-34))*(-790)\/(-4).\nAnswer: -79","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 4167748?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l - 9344 = -4*v, -5*l - 6280 = -2*v - 1608. Suppose 5*f - v = -2*s, -3*f + 3504 = 3*s - f. Suppose 2064 = 4*n + 5*d - 274, -2*n + s = 3*d. Is n prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 11 - -124b10?\nAnswer: 124b21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p\/p**(-2\/5)*p)**(-7\/4))**27*((p*p*p**4)\/p**(-1))\/(p*p\/(p\/p**(-3))*p\/(p*p*(p\/p**0)\/p)) assuming p is positive.\nAnswer: p**(-517\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3 + 10. What is the smallest common multiple of (0 + -1 - -1) + 2 and z?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -b**2 - 10*b - 6. Let p be d(-9). Suppose 2 = 2*u - a, 4*u + u + p*a - 5 = 0. Solve -3 - u = -i for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -5.03 + -0.57. Let b = -5.6000233 - o. What is b rounded to 6 dps?\nAnswer: -0.000023","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 26, -7 in decreasing order.\nAnswer: 26, 4, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 0.749383 micrometers?\nAnswer: 0.000000000749383","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = 9*h - 250. Calculate the remainder when 11 is divided by y(28).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10 (base 2) to base 10\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -20 - (-42 - (-60 - -32)).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 8762?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-8)\/(-36) + 75\/27. Sort -2, 2\/19, d in descending order.\nAnswer: d, 2\/19, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -15730 divided by -130?\nAnswer: 121","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*s + 2 + 0 - 1.\nAnswer: 3*s + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h*h\/(h*(h\/h**20)\/h*h*h))**(-7\/4)*h**18*h*(h\/(h**(8\/7)*h))\/h)**(-1\/13) assuming h is positive.\nAnswer: h**(459\/364)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -4 - -6. Suppose -3*h = -3*p + 8*p - 266, a*p - h - 113 = 0. Is p prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -153 at least as big as -14448\/95?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 63837 a multiple of 173?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 522.64 rounded to the nearest 100?\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -199557477, -399114948, -598672419?\nAnswer: -798229890","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:22 PM and 8:07 AM?\nAnswer: 525","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-554)\/(-38) - (4599 - 4584)?\nAnswer: -8\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 108752?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 570, 1056, 1862, 2988, 4434?\n\"Answer: 160*d**2 + 6*d + 404","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 1\/6 and -43\/17842.\nAnswer: 53526","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 79 * -3\nAnswer: -237","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put 6, 1, 3, -20 in descending order.\nAnswer: 6, 3, 1, -20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vgvwy. Give prob of picking 1 g and 1 w.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(2\/13)\/z**0)\/((z*z**4)\/z*z*z*z**(-4)*z)*z**4*z**(-7\/6)*z*z*z**(-2\/29)*z*z*(z*z*z*z*z*z\/(z\/(z\/(z**(-3\/4)*z*z)*z))*z)\/z assuming z is positive.\nAnswer: z**(43739\/4524)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-9 - -11)*(0 - (-2)\/(-18)).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t = -t - 0*t. Suppose t = w - 13 - 9. What is the smallest common multiple of 8 and w?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 48 minutes after 6:22 PM?\nAnswer: 7:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t = 3*l - 66, 0 = 2*l - t - t - 24. Is 12 a factor of 1069\/l + (-2)\/(-17)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 10\/87 and -54\/11.\nAnswer: 957","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 170775528 and 24?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 84*t + 5 - 95*t - 7 to k + h*t and give k.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -10 - 48\/(-50)*10?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17113664 + 20*x - 17113664.\nAnswer: 20*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) be the second derivative of i**5\/100 - 2*i**3\/15 - 37*i - 1. What is v in w(v) = 0?\nAnswer: -2, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = d**3 - 21*d**2 - 29*d - 25. Let v be z(23). Suppose -9*l + 3*l + v = 0. What is the units digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23503087 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -25*a. Let q(k) = 2*k**2 - 4*k + 13. Determine u(q(s)).\nAnswer: -50*s**2 + 100*s - 325","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t and 2 k when three letters picked without replacement from kttootkkkk.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -76.15 rounded to the nearest integer?\nAnswer: -76","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = j**2 - j - 3. Let u(w) = 5*w**2 - 4*w - 12. Let d(g) = -9*q(g) + 2*u(g). What is d(0)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 13 + -17. Let q = -5 + 5.35. Let i = q - 0.05. Which is the closest to -1? (a) 0.1 (b) i (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -41, -0.1, -2\/3, -3, -42177?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1641*x + 174*x - 58052 = 27384 + 18019 for x.\nAnswer: 57","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 20665 is divided by 140.\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1001102001111 - 1?\nAnswer: 1001102001110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express (67*w + 1057 - 1057)*(-6*w + 4*w + 3*w) as g*w**2 + h + y*w and give y.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 11088?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 157?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 24 + -22.5. Let f = t + -0.1. Let d = -1.7 + f. Which is the third smallest value? (a) d (b) -6\/11 (c) 1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -y**2 + 2*y + 9. Let m(f) = 2*f - 12. Let v be m(9). Let p(z) = z**2 - 4*z - 7. Let d be p(v). Let k be i(d). Round k to the nearest integer.\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -570*k + 584*k + 280 = 0 for k.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.12, -1, -0.252?\nAnswer: -0.252","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4 by 2.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.075 - 0.575. Let k = 0.3 + -1.3. Which is the closest to 1\/2? (a) h (b) 5 (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = 2*j + 105. Let s be m(-51). Sort 0.09, -0.03, s in descending order.\nAnswer: s, 0.09, -0.03","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -2*w**2. Let j(n) = -107 + 1087 + 813 - n**2 + 651. Calculate x(j(s)).\nAnswer: -2*s**4 + 9776*s**2 - 11946272","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = 3*q + 2. Let l = 20 + -18. Suppose 4*b - d = -0*d - 15, 3*b - l*d + 5 = 0. What is f(b)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is v in v**5 + 46*v**4 - 2712*v**3 + 19232*v**2 - 36736*v = 0?\nAnswer: -82, 0, 4, 28","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*a - v + 38, a + v + 66 - 76 = 0 for a.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -4, -869605, 0.2, 0.14?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 99 is divided by 43?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((t*t**0)\/t)\/t)**21*((t*t**(-1)\/t)\/t*t*t)**(13\/3) assuming t is positive.\nAnswer: t**(-21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is sixteen fifths of a milligram in micrograms?\nAnswer: 3200","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: Let t(x) be the second derivative of x**4\/12 - 4*x**3\/3 + 5*x**2 + 4*x. Let d(c) = c**2 - 3*c - 2. Let p be d(5). What is the tens digit of t(p)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -35*u - 2954 = -360*u + 5171 for u.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = m - 6 - 0. Let w = -27806 - -27906. What is the remainder when w is divided by m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 846222239 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f, 1 h, 1 b, and 1 p when four letters picked without replacement from {m: 1, h: 1, p: 9, f: 4, b: 3}.\nAnswer: 3\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 11369.00382 take away -7?\nAnswer: 11376.00382","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -2, 4\/7, 23 in increasing order.\nAnswer: -2, 0, 4\/7, 23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*v + 137 = 157. Which is the second smallest value? (a) -0.18 (b) 9\/7 (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w + 1727 = u, -6*w + w + 2*u = -2860. Suppose 5*b - 3*b = w. Is b a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -r**3 - 41*r**2 + 559*r - 4011. Calculate z(-53).\nAnswer: 70","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -21 (base 3) to base 9.\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -378 - -297. Let i be ((-6)\/8)\/(m\/144)*30. What is the greatest common divisor of i and 60?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.038 from -9705.6389.\nAnswer: -9705.6009","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 16*((-1 - 3) + 3). Let d = g - -13. Put -4, 0, d, -26 in decreasing order.\nAnswer: 0, d, -4, -26","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 333\/(-37)*(-2)\/(-3).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = 220*f**2 - f - 2. Let t be i(-4). Let s = t - 1372. What is s rounded to the nearest one hundred?\nAnswer: 2200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -r**2 - 4*r + 3. Let x be f(-4). Let u(s) = 2*s**2 + 3. Suppose 10 - 40 = -5*m. Let a(l) = 3 - 1 + m*l**2 + 8. Determine x*a(n) - 10*u(n).\nAnswer: -2*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 439 divide 586986?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2918 - 2925. Let l = -6 - -6.6. Let s = l + -3.6. What is the second smallest value in w, s, 2?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 353799270 divided by -5360595\nAnswer: -66","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 11) to base 13\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 41335250 is divided by 426136?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 0 - -6246541?\nAnswer: 6246541","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) be the second derivative of -l**8\/3360 - l**5\/120 + l**4\/6 - 3*l. Let a(w) be the third derivative of o(w). Differentiate a(v) wrt v.\nAnswer: -6*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k = 1 - 7. Suppose 0*y + 37 = 4*y - 3*x, k*x = -4*y + 42. Is y a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -599 + 601. Put o, -211\/6, -0.2, -2 in decreasing order.\nAnswer: o, -0.2, -2, -211\/6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1737 + 9889. Is 18 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.1 greater than or equal to 5461.5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 503\/1465 <= 29?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Product of 387 and -964.\nAnswer: -373068","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.02 * -964856.\nAnswer: -19297.12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 812 and 1276?\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1*185*(-4)\/(-10) + 2 is divided by 39?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-2)\/(-4)*(20 + -6). What is the greatest common divisor of w and 14?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.82781 + 0.827846481. What is w rounded to 6 decimal places?\nAnswer: 0.000036","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-6)\/4)\/((-2)\/4). Suppose 1 = q - h. Suppose 40 = 5*n + x, 4*x + 28 = 4*n - q. Does 3 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -1 - (182\/(-203) - 0). What is the third smallest value in z, 0.3, -0.1?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -747965 divided by 1?\nAnswer: -747965","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 21 - 11. Suppose -4*z = -6*z + a. Determine q, given that 4*q**2 - 2*q**2 + 3*q**4 - 6*q**2 - q**z = 0.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from grgxg. What is prob of sequence xg?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2.4 + -0.6. Let h = -0.1 - 0.9. Let y = i - h. Which is smaller: -1 or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - d = 3 + 3, 4*n - 14 = -d. Suppose -4 = -n*u + 2*u. Solve 4*z = u + 10 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 5\/((-28)\/(-8) - 1). Let k be r\/((-2)\/(-16)*-1). Which is greater: -14 or k?\nAnswer: -14","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k - 22 = -0*k. What is the units digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = 1. Let h(u) = u**2 + 6*u - 2. Let p be h(-8). Let d = 20 - p. Let x(l) = -l. Let i(w) = d*a(w) - 3*x(w). Calculate i(-4).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 60 and 1080.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:35 AM and 11:28 AM?\nAnswer: 173","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (483\/(-460))\/((18\/35)\/((-9)\/42))?\nAnswer: 7\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-108)\/63*(-14)\/4.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of ((-22)\/(-33))\/((-2)\/(-462600)*4)?\nAnswer: 2, 3, 5, 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8*(-2)\/(-5*154\/55).\nAnswer: 8\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -b**2 + 7*b + 5. Let d be p(6). Suppose -8*g = -d*g + 6. Suppose g*n = 40 + 134. Is n prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -28*f**2 + 73*f**6 - 47*f**6 - f**2 wrt f.\nAnswer: 3120*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -2*s + 6. Let z(g) = 2*g - 7. Let v(l) = 4*w(l) + 3*z(l). Let t be v(5). Let r(x) = 2*x + 7. Give r(t).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*c + 3*y = -8, -12 = -5*c + 2*y + 8 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (q - 3*q + 4*q + 2*q + 0 + 0 + (-2 + 1 + 0)*(0 + 3*q + 0))*(60 - 855 - 110).\nAnswer: -905*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:56 PM and 9:29 AM?\nAnswer: 573","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -10212 + -110022?\nAnswer: -121011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-4)\/(-4))\/1*-334. Let n = q + 797. Let s = n - 1873\/4. Find the common denominator of 77\/18 and s.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) be the first derivative of -c**2\/2 + c - 699. Let s(l) = -2*l + 2. Calculate -3*i(d) + 3*s(d).\nAnswer: -3*d + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 3027328 divided by -3?\nAnswer: -3027328\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -8192, -32805, -73826, -131255, -205092, -295337?\n\"Answer: -8204*o**2 - o + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f = w + 780234603, -5*f - 7*w - 780234595 = -2*w. Let s = f + 106946921. What is s rounded to the nearest one million?\nAnswer: -49000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -5 + -13650336?\nAnswer: -13650343","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -s + 11 - 0. Let x be 5\/(5\/2) + 8. Are s and x non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = 6*s + 39. Let j be q(-9). Let i be ((-27)\/(-90))\/(12\/j). What is the nearest to -1 in 2, i, -34?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**1\/b)\/(b**6\/b) assuming b is positive.\nAnswer: b**(-5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 23832.7681 to the nearest 100.\nAnswer: 23800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 8*c**5 - 2*c**5 - 6*c**5 - 5*c**5 + 4*c**2 wrt c?\nAnswer: -300*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) be the first derivative of -1387*m**2\/2 + 31*m + 88. Is i(-6) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*l**4 + 1654256*l**3 - 1654260*l**2.\nAnswer: 4*l**2*(l - 1)*(l + 413565)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide 42762 by -2.\nAnswer: -21381","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = j - 5*b + 6, 4*j + 4*b = 3*j + 12 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j and 1 o when two letters picked without replacement from xxjxjxdcxcjxjoxjdc?\nAnswer: 5\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -6003d353 - -3?\nAnswer: -6003d350","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**(-4\/17)*c**(-11) assuming c is positive.\nAnswer: c**(-191\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = 5*i**2 - 5. Suppose -2*c + 2 = 2*q, -4*c - 4 = -5*c - 2*q. Calculate the remainder when 41 is divided by r(c).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -2 + 4 + -4 - -7*2. Solve -4*i - q = -i for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -22, -35, -70, -139, -254, -427, -670?\n\"Answer: -2*q**3 + q**2 - 2*q - 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -179.4 to the nearest one hundred.\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 76 + -70. Let c be (-357)\/(-35) - x\/30. Let w(u) = 6*u**3 + u**2 - 2*u + 1. Let o be w(1). Solve c = v - o*v for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 28051 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 16) to base 10\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -7 - 13. Let q be (h\/(-6))\/((-16)\/(-12)). What is the nearest to 0.3 in q, 1, -1\/2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 18905 to the power of 1\/3, to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*d**11)\/(d**(8\/7)*d)*(d**(-1\/6)*d)\/d**(3\/4) assuming d is positive.\nAnswer: d**(835\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 257042802.\nAnswer: 2, 3, 23, 1223, 1523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 41800718 to the power of 1\/5, to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 - 78*i - 950*i**3 + 2*i**4 + 59*i + 10*i**2 + 951*i**3 in the form j*i**2 + l + s*i**4 + d*i**3 + q*i and give q.\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -21\/218 and ((-44)\/(-7))\/(216\/(-168)).\nAnswer: 1962","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 31498938*s**5 + 165*s**2 + 21*s - 38?\nAnswer: 1889936280*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -10, 36, -0.9, 2\/5, 0.2, 0.\nAnswer: -10, -0.9, 0, 0.2, 2\/5, 36","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b = 7*b - 15. Let r be 1 + -2 + 121991 - (b - 1). Suppose -3*k - 9 = 0, 2*k + r = -5*f + 6*k. Round f to the nearest ten thousand.\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*d**2 - 50617 + 16868 + 65732 + 33729 - 888*d.\nAnswer: 3*(d - 148)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine h so that -h**2\/4 - 12*h + 1449\/4 = 0.\nAnswer: -69, 21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 20.27 * -158\nAnswer: -3202.66","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k + 19 - 15 = 0, 2*m - 3*k = 38. Calculate the highest common divisor of 1 and m.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-2)\/(-6))\/(4\/(-12)). Put -5, w, 1 in ascending order.\nAnswer: -5, w, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 1798, 1693, 1410, 859, -50, -1407, -3302?\n\"Answer: -15*t**3 + t**2 - 3*t + 1815","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*1*sqrt(125)*-6 + 6*(sqrt(125) + 0)**2 + -2*sqrt(125)*2 + 1.\nAnswer: 40*sqrt(5) + 751","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 323172 and 15651?\nAnswer: 423","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000368 to 7 dps.\nAnswer: 0.0000037","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(-3*(sqrt(847) + 1)*-4)**2.\nAnswer: 19008*sqrt(7) + 732672","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 17*i - 130 + 28 for i.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 2897386 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 207 a factor of 35178822?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f - 3*i + 52 = 5, -12 = 4*i. Let j = 0 + -14. Let q = j + f. List the prime factors of q.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -8\/341095 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 46628?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2041 (base 7) to base 10.\nAnswer: 715","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 61\/288 and 145\/72.\nAnswer: 288","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 40916, 163541, 367874, 653915, 1021664?\n\"Answer: 40854*x**2 + 63*x - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 78664968?\nAnswer: 2, 3, 23, 67, 709","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + 4*v - 4 = 3*o, 3*v + 3*o = 0. Let t = -14 - -10. Sort -9, v, t in descending order.\nAnswer: v, t, -9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9676 times -2?\nAnswer: -19352","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) be the second derivative of s**5\/4 + s**3\/3 - 7*s. What is the second derivative of g(x) wrt x?\nAnswer: 30*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 156532 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: -2*3\/6*39688\/(-2904)\nAnswer: 41\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -h**3 + 18*h**2 + 5. Let a be u(18). Let i(y) be the third derivative of -2*y**2 + 0 - 1\/30*y**a - 1\/4*y**4 - 2\/3*y**3 + 0*y. Factor i(r).\nAnswer: -2*(r + 1)*(r + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 161 rounded to the nearest ten?\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -5*l**2. Let i(f) be the third derivative of -9*f**2 + 0*f**4 + 0*f + 0*f**3 - 1\/30*f**5 + 0. What is i(b(n))?\nAnswer: -50*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 + 10 + (-15)\/(-6)*2\/(-5)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3671*j**2 - 1326*j**2 - 1057*j**2 - 5*j - 1278*j**2 + 5*j.\nAnswer: 10*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/2*1\/(14\/(-16)).\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -1, -4, -124, 0 in increasing order.\nAnswer: -124, -4, -1, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = c - 1. Let x = 3 - -1. Let r be o(x). What is the derivative of -r*s**3 + s**3 - 1 - 3 + 2 wrt s?\nAnswer: -6*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 515 divide 14061289?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b + 2*b = 34600000. Round b to the nearest 1000000.\nAnswer: -17000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1101111000110110 + 100011?\nAnswer: 1101111001011001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.0207 + 362.0207. Let k = 362.1 - g. What is the third smallest value in k, -3, 0.96?\nAnswer: 0.96","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 28 times -1644367?\nAnswer: -46042276","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 1339\/922?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*i**2*l**2*n + 2*i**2*l*n + 619*i**2*n**3 - 5*i*l**2*n**3 - 2*i*n**2 + 2*i - 2*l*n**3 - 12*n**3 wrt i.\nAnswer: -4*l**2*n + 4*l*n + 1238*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-12)\/5)\/((-5)\/25). Suppose 4*w = z - 0, 4*w = 4*f + 648. Is f\/2*2\/(-3) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8433 is divided by 5904.\nAnswer: 2529","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + 6 = -4*n + 15, -5*t = 3*n - 14. Suppose t = -h - 0*h + 3*z, 2*h + z = 26. What is the units digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -3124100 to the nearest 10000.\nAnswer: -3120000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.05 and -18978.\nAnswer: -948.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = 7*w**2 - 93*w + 36. Let i be l(13). Let a be (32\/24)\/(1\/18). Let k = -23 + a. Solve c + i = -3*p, -2*p + k = -4*c - 11 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3066*u**2 + 1865*u**2 + 2054*u**2 - 660*u**2 + 7.\nAnswer: 6325*u**2 + 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -f + 13. Let a be d(11). Suppose a*p + 13 - 67 = 4*i, -p = -4*i - 25. Solve -m - 27 = -p for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = 3*d - 3*z, -3*d + 1 = -3*z - z. Let t = 20 - 18. Let c(s) = -3*s - t*s + 6*s + 3. Determine c(d).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -4*m + 38. Let j be f(9). Let a = 1 + j. What is the common denominator of -37\/20 and 1 + a + (-5)\/(-80)?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = q**3 + q**2 - 5*q + 3. Let v be d(2). What is the second derivative of 18*n - 18*n**v - 25*n**3 + 25*n**3 wrt n?\nAnswer: -360*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -14*t**3 - 4*t**2 - 4*t - 1. Let d(i) = 26*i**3 + 7*i**2 + 8*i + 2. Give -6*d(r) - 11*o(r).\nAnswer: -2*r**3 + 2*r**2 - 4*r - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 277 a factor of 587794?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = 19*m - 366. Let x be u(19). Which is the fourth smallest value? (a) 4 (b) 2 (c) 0.081 (d) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -15537599*n*o**3 - 47*n*o**2 - 3*n - 29*o**2 + 3*o + 32 wrt o.\nAnswer: -93225594*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -603 + (60\/(-18))\/((-4)\/(-6)). Let f = g + 1015. List the prime factors of f.\nAnswer: 11, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3536*t - 1881*t + 656*t + 784*t in the form z + s*t and give s.\nAnswer: -3977","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = 16*q**2 - 21*q + 133. Does 11 divide g(17)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 8607142 to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -5.6 - -6. Which is the smallest value? (a) 1\/7 (b) 2 (c) x (d) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = 5770*q**3 - 6*q**2 + q + 1. Let v be j(4). Let m be v\/270 + (-4)\/6. Let d = m + -1358. Calculate the common denominator of d and -47\/10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2\/3 - 4\/3*d + 2\/3*d**2.\nAnswer: 2*(d - 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = 197*k**2 + 16*k - 20. Does 80 divide u(2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 502\/195, 1 in decreasing order.\nAnswer: 3, 502\/195, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express -72*l - l**4 - 4*l**2 - 150 + 349 - 197 as v*l + u + c*l**2 + z*l**4 + q*l**3 and give c.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 14 - 43\/3. Which is the biggest value? (a) -3 (b) m (c) 2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -735 + 1766. Is t composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 1, h: 2, x: 2}. What is prob of sequence xx?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 543, 542, 539, 534?\nAnswer: 527","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 32653.79400043 - 32653.71. Let m = -27.8 + 27.716. Let a = u + m. Round a to seven dps.\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mmms when four letters picked without replacement from smmssmmmsmmss?\nAnswer: 21\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -62 + 64. Let d(x) = -56*x - 3*x - 18 - 6 + r*x**2. What is the tens digit of d(31)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 29 is divided by (-4)\/(-14) + 216\/28.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8354*l + 2737*l + 2804*l + 2811*l + 5*l**3.\nAnswer: 5*l**3 - 2*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) be the third derivative of -2*b**4\/3 + 5*b**3\/2 + 4*b**2. Let t(o) = 16*o - 15. Let m(h) = 7*t(h) + 6*v(h). Is m(10) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 394 - 234. Let b = -29 - -49. Calculate the highest common factor of m and b.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3264 divided by 4?\nAnswer: -816","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.856 - -1.256. Put -0.3, m, -1\/17 in decreasing order.\nAnswer: m, -1\/17, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 238 and 182414743.\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2143 - -2138. What is the closest to -0.7 in -4, 3, 4, x?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t + 4 = -6. Let b be t\/8 - 15\/(-4). Suppose 2*p = -3*h + 26, -p - b*h + 12 = -3*h. List the prime factors of p.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000594903169 to six decimal places.\nAnswer: 0.000595","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 16 and 2020?\nAnswer: 8080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 0 - 4d?\nAnswer: -4d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2099 + -2101 + -6*4\/(-2).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 73*k - 392 = 24*k. Let y = 9 + 0. Is k bigger than y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2 - -60. Let j = 980 + -869. What is the remainder when j is divided by h?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-2)\/(-24)*(-1 + -1). Let l = 0.0798 - -0.0202. Which is the closest to l? (a) -0.4 (b) o (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*d - 2*d - d)*(-8*d**3 - 7*d**3 + 8*d**3) to the form a*d**3 + b*d**2 + z*d**4 + r + f*d and give z.\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 597 divide 660371550?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wpwwpwppwww. What is prob of sequence pp?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 1952620 (base 10) in base 16?\nAnswer: 1dcb6c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 - 5 = -2*m. Suppose 0 = m*z - 17 + 2. Let h = 2 + 0. Solve -z*v - h*l + 2 = l, 4*v = 2*l + 6 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -84 or -0.4503?\nAnswer: -0.4503","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 121\/44 + (-986)\/(-136).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/25 of a litre?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 13424242631 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1061738230 to the nearest integer?\nAnswer: 1020","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 704 and 192.\nAnswer: 2112","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*d + 36 = -d + t, 0 = 2*d + 4*t. Suppose 2*k + d = 0, -4*b - k = -2*b + 8. Let h(m) = -m**2 - 6*m - 5. Let x be h(-4). Put x, 2, b in ascending order.\nAnswer: b, 2, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 226.\nAnswer: 2, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 120 minutes before 5:32 AM?\nAnswer: 3:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -31 + 65. Let i = 46 - j. Solve -d + 6*d = 4*t - 25, -3*t + i = 3*d for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:06 AM and 4:17 PM?\nAnswer: 491","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -4 - ((-16)\/4 - 0). Suppose 2*b = -k*b - 2*u, u = -2*b + 5. Let t(d) = 2*d**3 - 22*d**2 + 18*d - 37. Let p be t(10). Sort 3, b, p.\nAnswer: p, 3, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g and 1 v when two letters picked without replacement from vaadpge.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 324\/5 less than 66?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 d and 1 e when three letters picked without replacement from ieewmdwexeixwwdee.\nAnswer: 3\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -499*o + 159*o + 172*o + 44*o - 3224 for o.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 4 + 0. Suppose 2*s = 3*l + 18, -2 = p*s + 4*l + 2. Suppose -6*n = -2*n + c - 73, s*c = 15. List the prime factors of n.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 6\/18 - 5\/(-3). Let o = 297.2 - 297.5. What is the closest to 1 in 1\/3, o, p?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 17930.8314007 and 0.6.\nAnswer: 17931.4314007","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -288 = -3*x - 5*t - 336, -x + t - 16 = 0 for x.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u, 1 t, and 1 z when three letters picked without replacement from {t: 1, z: 1, q: 1, n: 1, u: 2, o: 1}?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21 + 45 = 8*p. Which is the nearest to 2? (a) 9\/4 (b) p (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*sqrt(102)\/(1*sqrt(6)).\nAnswer: -5*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*-6*(sqrt(275) - (sqrt(275)*2 + 3)) + -4*(-5 + sqrt(275)*-1 + (sqrt(275) + 2*sqrt(275))**2*-1).\nAnswer: -70*sqrt(11) + 9866","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -2*o + 8. Suppose 0*r - o*r - 25 = -3*n, -3*r = -5*n + 31. Find the second derivative of 7*i + 5 + 21*i**4 - n - 4*i wrt i.\nAnswer: 252*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -3.96 - 0.04. Let z = -192 + 597. Let u = z - 401. Put 1, a, -0.1, u in decreasing order.\nAnswer: u, 1, -0.1, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -14 - -14.3. Let q = 1.6 - 3.9. Let j = q + k. Which is the smallest value? (a) j (b) -1\/7 (c) -0.08\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + o - 2)*(-5 + 0 + 6) - 2*o + 3*o + o + 15*o + 11*o - 18*o + (4 - 2 - 1)*(2*o + o - o).\nAnswer: 13*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 110160 (base 7) to base 5\nAnswer: 1104144","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -q**2 + 9*q - 6. Let h be p(8). Suppose -6 = -h*z - 2. Calculate the lowest common multiple of z and 46.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3897.1 + 3896.7. Let p = 8 - 12. Let v = -7 - p. Which is the closest to 0.1? (a) v (b) z (c) 34\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.403 + -0.097. Put 244, -1, s in decreasing order.\nAnswer: 244, s, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in q**3 + q**3 + q**3 - 2*q + 6*q.\nAnswer: 3*q**3 + 4*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1110211 + 201021?\nAnswer: -202120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2 + 6.8. Sort u, -2, -0.5 in descending order.\nAnswer: u, -0.5, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -5, -4, -1\/4, 3\/7, 35?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -256 = -18*p + 86. What is the greatest common divisor of 304 and p?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 173958 by 3.\nAnswer: 57986","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = 3*o**2 + 523*o + 2565. Let x be d(-5). Solve -17*h + 84 = x*h for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**3\/b**(-4\/9)*((b**(-1)\/b)\/b)\/b*b**(2\/13) assuming b is positive.\nAnswer: b**(-47\/117)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 15\/(-45) + -13*(-8)\/6. What is the highest common factor of z and 187?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -585*m - m**2 + 585*m.\nAnswer: -m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -116 - -125. Suppose y*h + 1311 = 12*h. What is the tens digit of h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3259 is divided by 364.\nAnswer: 347","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 558 and 6014.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1 + 370011117541.\nAnswer: 370011117540","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -3032 - -326?\nAnswer: -2403","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8 + v + 3 - 1)*(-3 + 3 - v).\nAnswer: -v**2 + 6*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 - q**2 - 3 + 5*q**2.\nAnswer: 4*q**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) be the third derivative of q**5\/270 - 31*q**4\/54 + 209*q**2. Solve z(r) = 0.\nAnswer: 0, 62","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -5 - -b87?\nAnswer: b82","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9179 + 183*x + 4594 - 74*x - 98*x + 4585.\nAnswer: 11*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 65*d**2 + 2476*d - 2476*d to o*d + m + q*d**2 and give q.\nAnswer: 65","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3.47 + 1.68.\nAnswer: 5.15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -158211 = -77*v - 157441 for v.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 88054, 87269, 86484, 85699, 84914, 84129?\n\"Answer: -785*y + 88839","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 62*f = -5*q + 65*f - 34, 0 = f - 3 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = 533*c**3 - 2*c**2 + 20*c - 54. Is r(3) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 9 - 60?\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) be the second derivative of -1\/6*v**3 + 0*v**2 + 0*v**6 + 0*v**5 + 0*v**4 + 0 - 12*v + 4\/21*v**7. Find the second derivative of u(h) wrt h.\nAnswer: 160*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 95 + 1*-5*((3 - (22 + 3)) + 25).\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 39989 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: Expand (-10*c + 85 - 85)*(-177 + 170 - 161 - 262).\nAnswer: 4300*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 72184358 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -2006 and 41908?\nAnswer: -84067448","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (0 - 176\/(-8))*2\/(2 + 0). Put 29, q, -1 in increasing order.\nAnswer: -1, q, 29","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 29 + -64 - -67 - -37.\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 568452 and 159.\nAnswer: 30127956","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -556 = 3*b - 5*r + 3*r, -2*r - 180 = b. Let l = -75 - b. What is the hundreds digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 37180*u**5 - 1486*u - 2 wrt u?\nAnswer: 743600*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w - x + 24 = 0, -4*w + x + 30 = -w. Let c(u) = 5*u**2 - 5*u - 3. Let k be c(-2). Calculate the greatest common factor of w and k.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*j**2 - 2*j**2 + 2*j**2)*(3 + 5 - 2) - 6*j - 2*j**2 - 315 + 312 + 3*j.\nAnswer: -14*j**2 - 3*j - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 45109345.\nAnswer: 5, 9021869","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -4022 (base 7) to base 8\nAnswer: -2554","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -4888 + 4940. What is the remainder when 108 is divided by u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let l = 5 + -5. Suppose l = f + 9 + 18. Let j = f - -31. Sort 2, j, 3.\nAnswer: 2, 3, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2295 by 12.\nAnswer: -765\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = 22*r - 1. Let m be p(-2). Let q be (-5)\/m + (-24)\/(-27). Let y(a) = 3*a - 1. Let i be y(q). Solve -s + 9 = -d, i*s - 1 = -2*d - 3 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u = 5*q - 12, -u - 2 = -4. Suppose -46 = -4*s + 2*s. What is the remainder when s is divided by q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.6 - 3.6. What is the smallest value in -0.5, o, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1095370 and 126?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n*n**(2\/23)*n*n*n**(-2\/9))**(-11))**19 assuming n is positive.\nAnswer: n**(-123937\/207)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(700) + 1*sqrt(700) + sqrt(700))*-6)**2.\nAnswer: 226800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ov when two letters picked without replacement from {z: 1, x: 1, v: 2, o: 2}.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = q - 4*i, 14*q - 17*q - 5*i + 19 = 0. Let t be (-1)\/(q\/(-10))*(0 - 4). Which is smaller: t or -4?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -30.81 + 31. Let b = 232 + -235.59. Let m = a + b. Sort 0.4, -4, m in decreasing order.\nAnswer: 0.4, m, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 27202 by 58.\nAnswer: 469","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 137616082 and 86.\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0.81 or -0.168957?\nAnswer: 0.81","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/2? (a) -1\/4 (b) 3\/2 (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -195 + 194.816. Let t = y + 0.18399946. Round t to 7 dps.\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -969*q + 967*q + 5*c - 47, 0 = -7*q + 3*c - 92 for q.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:23 PM and 5:07 AM?\nAnswer: 584","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 156\/5, -1\/2, 4, 4\/7, -0.013, -2\/3?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 35537 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -i**3 + 292*i**2 - 6752*i - 4280. What is s(26)?\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 895229 or 895221?\nAnswer: 895221","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) be the second derivative of 5*d**4\/12 + 8*d**3\/3 + 11*d. Let k be (1 + 11)\/4 - 13. Let x be r(k). What is x rounded to the nearest 100?\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*s = 3*v - 19, 3*s = v - 3*v + 26 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2 - 1. Let s = 36 + -182\/5. Let z = 0.398 - 0.098. Which is the closest to y? (a) 4 (b) s (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -61.99434 + 62. Round g to 3 dps.\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 39595, 79224, 118835, 158416, 197955, 237440, 276859, 316200?\nAnswer: 355451","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 658 - 656. Solve 4*w = 6*w + d*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -5 + 6*o**2 + o + o**3 + 13 + 0*o**2. Let p be v(-6). What is the units digit of 4*1*(-1 + p)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = 2*g**2 + 2*g - 4. Let w be n(6). Suppose 2*b = 3*b - w. Suppose 3*c - 82 - 14 = 0. Calculate the highest common factor of b and c.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d = r + 3 + 13, -3*d + 8 = -r. Suppose 0*q - 3*k = d*q - 33, -9 = -2*q + k. Find the second derivative of -q*o + o + 6*o - 3*o**4 wrt o.\nAnswer: -36*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 215*k + 3970 + 666 = -29*k for k.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -26 - -30. Let h(y) = y**3 - y**2 + 5*y + 3. Calculate the remainder when h(4) is divided by (-12)\/(a\/(-6)*(-3)\/(-3)).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -11, 2\/77, 4, -2027?\nAnswer: 2\/77","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(-3 + 5*(((-2 + sqrt(2057))*2 - sqrt(2057)) + sqrt(2057))))**2.\nAnswer: -182160*sqrt(17) + 7424244","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 532 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: Simplify -5 + (-4*(2 + -2*sqrt(1300) + sqrt(1300)))**2 + 0.\nAnswer: -640*sqrt(13) + 20859","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-1)\/(-2))\/(4\/(-40)). Calculate the remainder when 26 is divided by -1*(40\/s + -1).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*i - 925 = f - 918, -5*i + 10 = 0 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*p - 77 = -6*t - 19, 0 = 2*t - 10*p + p + 10*p + 24 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 22650\/225*(-6)\/(-4). Solve h = 148 - w for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 324 and 288?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b*b\/(b*b**6))**(-8)\/(b**(-2\/63)*b**(3\/16)))**7 assuming b is positive.\nAnswer: b**(40163\/144)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 7.6771 times 3\nAnswer: 23.0313","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.3 - -2.3. Sort 1, -1, o.\nAnswer: -1, 1, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13349.\nAnswer: 7, 1907","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d = 5*s - s + 3, 3*s + 9 = 0. Suppose -2*u - 2*u = 2*k, d*u = -k - 1. Which is the third biggest value? (a) 3.3 (b) 2 (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 4*(-14)\/(-12)*-3. Is g smaller than -4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u - u - 50 = 2*g, -4*g - 5*u = 88. Let f = 1593 - 1611. Is f greater than g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 30456778 and 24919182.\nAnswer: 274111002","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) be the first derivative of 2*j**3 + 2 - j**2 + 1\/4*j**4 + 8*j. Let k be c(-6). Solve 0*v - k = -5*v for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*2*sqrt(125)*-6)**2 - (-1*sqrt(5)*-5 + 4 + -2).\nAnswer: -5*sqrt(5) + 17998","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -2*f**3 - 159*f**2 - 284*f - 3831. Determine x(-78).\nAnswer: 69","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:56 PM and 7:23 AM?\nAnswer: 687","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -0.4, 4\/11, -0.27, 0.03, -1\/7?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.98 and -2.17.\nAnswer: -2.1266","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1 - -1.1. Let l = 0.1 + 0.1. Which is smaller: w or l?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -57 - -126. Does 9 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = 8*f**2 + 2*f + 22. Let n(w) = 22*w**2 + 5*w + 45. Calculate -5*b(a) + 2*n(a).\nAnswer: 4*a**2 - 20","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9 - (8 + 5 + 9 + -13 + -10).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -124.9841 plus 13798732?\nAnswer: 13798607.0159","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 45*v + 0*v + 36*v.\nAnswer: 81*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 2826 greater than 2826?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2443234331 (base 5) to base 2.\nAnswer: 10110010001000000101001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = 3*y + 40. Let x = 1 + -13. Let r be l(x). Let k(i) = 2*i**2 + i + 3. Let h(n) = -3*n**2 - n - 4. Give r*k(j) + 3*h(j).\nAnswer: -j**2 + j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1, -5, 21000?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (11 - 4) + -2 - (0 + -9).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -164*h**3 + 330*h**3 - 1 - 167*h**3.\nAnswer: -h**3 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find x, given that x**4\/2 + 41*x**3 + 318*x**2 - 761*x + 803\/2 = 0.\nAnswer: -73, -11, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*v**(-2\/9))\/(v*v**3)*v**(-2\/7)\/v**(-1) assuming v is positive.\nAnswer: v**(-158\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -22.03 + 0.03. Suppose s = 3*d - 3, 3*s + 9 = -63*d + 66*d. What is the third biggest value in 1\/4, s, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-9)\/6 - (-3 - (-308)\/72)\/(-1).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-6)\/(-4) - (-1)\/2. Factor -3*k**3 - 2*k + 2*k**2 - 8*k**w - k.\nAnswer: -3*k*(k + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -2*(-3)\/(-4) - (-5 + (-48671)\/14). Calculate the greatest common factor of b and 30.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*m**3\/9 - 8*m**2\/3 + 8*m - 64\/9.\nAnswer: 2*(m - 8)*(m - 2)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1.97 + -0.03. Let y = 2.1 + f. Let i be -5*2 + 392\/42. Which is the closest to y? (a) -1\/2 (b) i (c) 3\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -664*s**2 + 4*s - 2. Let h(q) = -6*q. What is h(u(r))?\nAnswer: 3984*r**2 - 24*r + 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-443*h**4 - 70*h**5 + 443*h**4)*(6 - 4 - 4).\nAnswer: 140*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = 72 + d**2 + 60 - 7*d - 122. What is g(7)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jhjjjjjjjjjhjhjhjjjh. What is prob of sequence jhj?\nAnswer: 35\/228","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:01 PM and 8:42 AM?\nAnswer: 641","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -167\/42 and -151\/78.\nAnswer: 546","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 43 - 4057?\nAnswer: -4014","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2047, -4094, -6141, -8188?\nAnswer: -10235","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/8*(-3)\/(-6)?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(sqrt(126)*-6*-3)\/(sqrt(4)\/(sqrt(2) - sqrt(288)))*-2.\nAnswer: 7128*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4956*a**3 - a**2 + 2*a - 37491 wrt a?\nAnswer: 29736*a - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = s**2 + 10*s - 2. Let t be u(-11). Suppose 0 = b - 12 + t. Suppose -d - b = -12. Calculate the smallest common multiple of 3 and d.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29*f + 21*f - 8 = 0. Put -37, -4, -5, f, -17 in decreasing order.\nAnswer: f, -4, -5, -17, -37","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8 - -1 - -4 - 2.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -u**3 + 7*u**2 - 7*u. Let w(v) = -2*v - 4. Let o be w(-4). Suppose -j - o*j = -40. Calculate the remainder when a(5) is divided by j.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**(-16)*u\/u**(-8\/9) assuming u is positive.\nAnswer: u**(-127\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f - 1 = 2*p + 21, -2*f - 4*p = 14. Suppose 27 = s + 5*j, 0 = -4*s + f*j + 2*j + 33. What is the highest common divisor of 36 and s?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2 - -6. Let r(y) = -4 - 317*y**2 + 155*y**2 + 20*y + 161*y**2. What is the units digit of r(f)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -15*-4\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 883 - 867 - (2 + -24)?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 65618 and 112534870.\nAnswer: 112534870","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3157 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -107128025 divided by 3\nAnswer: -107128025\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 22 - 19. Suppose 0 = 3*i - 6, -3*i = a - f*a + 116. Suppose 3*u - a = 8. Is u prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.5 (b) -0.02 (c) 1\/4 (d) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19 = -3*w - 2*s, w - 2*w - 3*s = 3. Let z be (-1 + 4)*24\/w. What is the third derivative of 6*j**2 - 3*j**5 - j**2 - z*j**2 wrt j?\nAnswer: -180*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -5786.4511 to the nearest 10000.\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -6\/11 in 131.5, -4, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.81 - -2.81. Let z(y) = -y**2 - 5*y + 10. Suppose 3*c = x + 1, -4*x + c - 2*c - 30 = 0. Let g be z(x). Put g, -0.3, u in increasing order.\nAnswer: g, -0.3, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) be the third derivative of -k**5\/150 + k**4\/24 + 3*k**3\/5 + 12*k**2 + 3*k - 2. Factor q(r).\nAnswer: -(r + 2)*(2*r - 9)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1269 rounded to the nearest 100?\nAnswer: 1300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 minutes after 9:14 AM?\nAnswer: 9:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) be the second derivative of v**3\/2 + 11*v**2\/2 + 2192*v. Let z(d) = -1. What is m(w) + 5*z(w)?\nAnswer: 3*w + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 203*l - g = 205*l - 14, -5*l + 41 = 4*g for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-126)\/54)\/((-469)\/(-5226)).\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2856 + -2824. Calculate the greatest common factor of i and 104.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l + 10 = -3*l - 5*z, 3*z + 6 = 3*l. Let w be 128\/(-160) - (-2654)\/5. Suppose -4*s + w = -l*c + 5*c, 4*s - 326 = -3*c. List the prime factors of c.\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.1273 + 57.7727. Let j = -401.1 - r. Let i = -455.67 - j. Round i to zero dps.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*o + 424 - 403 = 4*q, 0 = -o - 2*q + 7 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 84685 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 692 and 214174?\nAnswer: 346","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -2*d**3 - 26*d**2 - 13*d - 16. Let g be k(-18). Let p = g - -612. What is p rounded to the nearest 100?\nAnswer: 4100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*n - 70 = 4*n. Suppose n*w + 41 = 8*w + 3*u, -27 = -w + 4*u. What is the greatest common divisor of 665 and w?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6795 = -43*a + 12684. Let f = -342 + a. Is 4 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.1252 - 0.108. What is b rounded to 3 dps?\nAnswer: 0.017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) be the first derivative of 12*q**5\/5 - 16*q**4\/5 - 116*q**3\/15 + 4*q**2\/5 - 4558. What is p in i(p) = 0?\nAnswer: -1, 0, 1\/15, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 - (28 + -16 + 12).\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (6\/(-294)*-91)\/((-3)\/(-21))\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 32*i + 5*i + 185 = 0 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/7? (a) 138\/7 (b) -0.1 (c) -21 (d) 0.05 (e) -4 (f) 121\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 601 + -600.6. Let h = -1.7 + 2.7. Which is the nearest to 1? (a) g (b) -0.1 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -11*d**2 + 62*d + 20. What is j(6)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 279073184?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3934114026?\nAnswer: 2, 3, 1423, 460777","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2161428?\nAnswer: 2, 3, 29, 6211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + 0 = 5*g - 2, -4*k - 5*g = -4. Let v be (-4 - -2) + (k - -6). Let t = 15 - 43\/3. What is the nearest to -0.1 in 2\/5, t, v?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -6*w + 6*w + 18*w**2. Let k(q) be the second derivative of q**4\/12 - 12*q. Determine k(j(v)).\nAnswer: 324*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/(-16)*0*(-7)\/(-14)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*z**3 - 243*z**2 - 2799*z wrt z?\nAnswer: -12*z - 486","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*m**4 - 1017888*m**3 + 109 + 1017888*m**3)*(-2 + 0 - 4).\nAnswer: -18*m**4 - 654","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -p**2 - 10*p - 4. Let x be g(-8). Suppose 4*z + x = 5*n, -2 = n - 3*z - 0*z. Suppose 0 = -n*s + 1 + 23. Solve 2*w - s - 4 = 0 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = o - 4. Let u(g) = g**3 + 9*g**2 + 6. Let q be u(-9). Suppose -5*k - q = -46. Calculate v(k).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 - 8 - (-10 - -8)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -7*w**4 + 93*w**3 - 1226*w**2 + 5026*w - 6498. Let a(x) = -11*x**4 + 140*x**3 - 1842*x**2 + 7540*x - 9747. Let p(g) = 5*a(g) - 8*l(g). Factor p(o).\nAnswer: (o - 19)**2*(o - 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.2, 2, 0, -11, -1\/5?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -8\/185 + 17269\/1480. What is the common denominator of (-5375)\/100*(-2)\/(-50) and a?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 335, 671, 1007?\n\"Answer: 336*v - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = 195*c + 359. What is w(-2)?\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 8 + -5. Let h(l) = -4*l + 8. Suppose 12 = 13*q - 14. Let g be h(q). Solve a - i = -g*a for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -18662*j**3 - 13815 wrt j.\nAnswer: -55986*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -9\/174616 and -107\/4370?\nAnswer: 16588520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = z**3 - 8*z**2 + 3*z - 3. Let p(i) = -3*i - 326 + 4*i + 175 + 167. Let l be p(-8). What is w(l)?\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00025697362 to five dps.\nAnswer: 0.00026","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x + 5*h + 1243 = -2*x, h = 1. Let m = -221 + x. Is m a multiple of 39?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -96*w**3 - 2*w**2 - 2*w - 3. Let y be z(-3). Suppose -2*v + 3001 + y = 0. Is v prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -446 times 2?\nAnswer: -892","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5071018 is divided by 1516?\nAnswer: 1514","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 - 13 - (-18 + (26 - 13)).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) be the second derivative of 25*z**3\/3 + z**2\/2 + 2*z + 1756. Calculate d(-1).\nAnswer: -49","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 676?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 63343 + -62115.42. What is r rounded to the nearest one hundred?\nAnswer: 1200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 641 and -0.09288.\nAnswer: 640.90712","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor n**3\/3 - 4613*n**2\/3 + 5322248*n\/3 - 5317636\/3.\nAnswer: (n - 2306)**2*(n - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 + 3 = -5*b. Let z(m) = -2*m + m + 1 + 3. What are the prime factors of z(b)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -7*m**4 + 6*m**2 - 6*m**2 + m**3 - 2*m**4 - m**3 + (2*m**2 - 2*m + 2*m)*(-m**2 + 4*m**2 - 2*m**2) - 5*m**2 + m**4 + 5*m**2.\nAnswer: -6*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -o = 3*d - 16, 6*d - 243*o - 250*o + 496*o + 8 = 62 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v - 6 = -3*u, 14*v - 2 = 12*v - u. Let a(w) be the second derivative of -2\/3*w**3 + v*w**2 + 0 + w. Let q(s) = -3*s. Give q(a(b)).\nAnswer: 12*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*h**4 + 124*h + 129*h + 13 - 256*h to f*h**2 + y + m*h**3 + r*h + j*h**4 and give r.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 37 minus -30043850?\nAnswer: 30043887","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -16*f**3 - 4*f**2 + f + 6. What is the remainder when v(-2) is divided by 15?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-195)\/546*2\/(-10)*8?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 121938108?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.153893ug to grams.\nAnswer: 0.000000153893","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 83\/4 + -21. Let j = 0.199 + -0.099. Which is the closest to j? (a) -0.1 (b) -3 (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 65 a factor of 28830?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*h = 21*h - 722. Suppose -14*b + h = -51. Solve b*m + 45 = 35 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -511*n**2 + 120. Let b(d) = -1023*d**2 + 240. Let h(z) = 3*b(z) - 7*w(z). What is the first derivative of h(y) wrt y?\nAnswer: 1016*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 15*m**3*u**3 - 9524*m**3*u**2 + 3820664*m**3 wrt u.\nAnswer: 45*m**3*u**2 - 19048*m**3*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of k**3*p*q**2 - 3*k**3*p*q + 4*k**3*q + 202*k**2*p*q**3 + 15*k*p + 2*p*q**2 wrt q.\nAnswer: 2*k**3*p + 1212*k**2*p*q + 4*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v - 8 = u + 3*u, -u = 2. Suppose v = -5*j - 11 + 71. Suppose 0*d = 4*d - 88. Calculate the remainder when d is divided by j.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1697, 1701, 1705, 1709, 1713?\nAnswer: 1717","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -69, 159.6361, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 5523, 5533, 5551, 5577, 5611, 5653, 5703?\nAnswer: 5761","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(539) + 3 - sqrt(33)\/sqrt(3)*-3)*3 + -5*(1*(sqrt(176)*2 + sqrt(176) + sqrt(176))**2 - (sqrt(176) + 1)*4).\nAnswer: -14051 + 110*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3 + 38. Let b be -34*(2\/(-4) + 1). Let y = b + f. Is 12 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17\/4 of a decade in months?\nAnswer: 510","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -50 - -44. Let c(a) = -5*a**2 - 9*a + 8. Let q(m) = -m**2 - m + 1. What is j*q(y) + c(y)?\nAnswer: y**2 - 3*y + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -451738 + 34.8.\nAnswer: -451703.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put 13, -1\/11, -2 in decreasing order.\nAnswer: 13, -1\/11, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) be the second derivative of -4*h**3 - h**2\/2 - 2*h. Let t be u(-5). Suppose t = 2*o + 25. Is o prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.5, -491, 5 in decreasing order.\nAnswer: 5, 0.5, -491","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 17\/721 and 87\/206.\nAnswer: 1442","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4139?\nAnswer: 4139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i - 18 = -b - 142, 4 = -2*i. Let j = -131 - b. Put 2, -2, j in decreasing order.\nAnswer: 2, -2, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 219341 and 2947.\nAnswer: 421","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = v + 5. Let g be x(4). Suppose -2*d = -2*q + 8, q - g = -3*d - d. Is 3\/((-8)\/(-5) - d) a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = 6*l**2 - 2*l**2 + 10 - 93*l**3 + 16*l + 91*l**3 + 2*l**2. Calculate the smallest common multiple of 30 and c(-3).\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 37901 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 532301 is divided by 19?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 115232300?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1.076433mg to grams.\nAnswer: 0.001076433","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -f**3 + 12*f**2 - 62*f + 192. Let x be s(7). Determine a so that -2\/15*a**x - 6\/5*a**5 + 0*a + 0 + 0*a**2 + 4\/5*a**4 = 0.\nAnswer: 0, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 10.031 + 0.069. Let f = q - 13.1. What is the closest to -1\/38 in -1\/6, f, -5?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*v**(-11))**(-3\/11)\/(((v\/(v*v**(6\/11))*v*v)\/v)\/(v**(5\/2)*v)) assuming v is positive.\nAnswer: v**(127\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -6596 divided by -3009\nAnswer: 388\/177","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.2, 22, 781, -4.\nAnswer: -4, 0.2, 22, 781","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 3\/(-2) + 6\/4. Let d be 3\/3 + z + -1. Suppose 15 = -3*t, i - 2*t - 12 = -d*t. Solve 0 = 2*p - p - i for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2133*f*r**4 - 32*f*r - f - 1 wrt r?\nAnswer: 25596*f*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:46 PM and 5:50 PM?\nAnswer: 184","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -p - 2 + 1697. Let k = 5104 - p. Is k prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 141*w**3 - 187806*w**2 - 384180*w - 16008 = 0. What is w?\nAnswer: -2, -2\/47, 1334","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -c**3 - 4*c**2 + 3*c + 11. Determine w(-4).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 24*c + 1)*(-c - 2*c + 2*c)*(-22*c**2 + 36*c**2 - 127*c**2).\nAnswer: -2712*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 7\/2 of a litre?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 128067 is divided by 10667?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 287662.8l to millilitres.\nAnswer: 287662800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.23 - -10.23. Put -2\/3, y, -0.3 in decreasing order.\nAnswer: y, -0.3, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5107 (base 8) to base 6.\nAnswer: -20103","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-44)\/(-16) + -3 - 322\/(-8). Calculate the highest common factor of r and 160.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.12 or -3738?\nAnswer: -3738","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2867 - 1838. What is the tens digit of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 12, 17, -4, 1, 5 in ascending order.\nAnswer: -4, 1, 5, 12, 17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express o**4 + 36 + o**2 - 41 + 0*o**2 - 3*o**4 + 3*o**4 - 2*o**4 + (-1 + 1 - 2)*(-4*o**4 + 3*o**4 + 3*o**4) as b*o**3 + j + s*o + r*o**4 + z*o**2 and give b.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b + 28 - 764 = 0. Suppose 3*v = f - 265, -f - v + 263 = -3*v. Let o = b + f. Does 14 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 22225 - 22228. Let b = -8.97 - 0.03. Let r = -9.9 - b. Is x equal to r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -315*r + 4546 + 134 = -291*r. What is the highest common factor of 27 and r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) be the first derivative of v**8\/840 + v**6\/72 + 2*v**3\/3 - 6. Let h(a) be the third derivative of t(a). Find the third derivative of h(l) wrt l.\nAnswer: 48*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + 0 - 59 = -4*i, -3*i + 39 = -4*g. Let o = 1 + 1. What is the remainder when (-2 + -1)\/(o\/(-22)) is divided by i?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 3, t: 3, l: 2, w: 1, a: 1}. What is prob of picking 1 n and 2 t?\nAnswer: 3\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 44*j**3 + 737 + 375 - 1112.\nAnswer: 44*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -3*v. Suppose -p - p + 10 = 0. Suppose p*b - 2*x + 15 = 0, b - 2*x = -x. Let z(f) = -f. Let r(k) = -4*k. Let j(s) = b*z(s) + r(s). Determine u(j(a)).\nAnswer: -3*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:39 AM and 3:50 PM?\nAnswer: 371","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = 4*a - 14. List the prime factors of n(14).\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -854 times 37?\nAnswer: -31598","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 0 + 2)*(-7*t - 4*t - 8*t)*(-t**3 + 3*t**2 - 3*t**2) + (0 + 2*t**4 + 0)*(-3 + 2 + 3).\nAnswer: -34*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*t - 69*t - 16*t.\nAnswer: -82*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j = -3*j + 8. Let t(d) = d - 2. Let z be t(j). Let r = 12 + -8. Which is the nearest to z? (a) r (b) -0.1 (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -5*h**3 - h - 1. Let u be o(-1). Let x(r) = -r**3 + 4*r**2 + 4*r + 3. Let p be x(u). What is the remainder when 10 is divided by (-9)\/(1\/p - 1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 24084 is divided by 31?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 0.1 = 25\/496?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 10093?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Determine l so that -2*l**2 - 77538*l - 1472500 = 0.\nAnswer: -38750, -19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = m**3 - 9*m**2 - 2. Let x be w(9). Let y = -0.109 + 0.009. Which is the smallest value? (a) 3 (b) 2\/75 (c) y (d) x\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2.67 + 2.87. What is the biggest value in t, 1\/4, -3\/2?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-50)\/40*-2*2\/(-10).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 15.1736 and -0.4.\nAnswer: -6.06944","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2\/3 - 1\/(-3). Suppose 0 = q - 4*q - 4*r + 25, -q + r = l. List the prime factors of 9\/6*62\/q.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -6*s + 1. Let g be k(1). Suppose 2*h = 2*b, 6*b - 5*h - 20 = 11*b. Put g, 3, b in descending order.\nAnswer: 3, b, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1840429461 to the power of 1\/6, to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 4 - 4. Let t(w) = -2*w**2 + w**2 + v*w**2. Let u(o) = 4*o**2 + o. Let b(h) = -h**2 - h. Let q(y) = -b(y) - u(y). What is q(t(m))?\nAnswer: -3*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 1334 (base 7) to base 6\nAnswer: 2215","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = f**2 + 8*f + 6. Let p be n(-5). Let i(c) = -c**2 - 9*c + 2. Let w be i(p). What is the units digit of w\/(-6) - (-37)\/3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) be the second derivative of -f**5\/20 + 7*f**4\/12 + 2*f**3 - 2*f**2 + 16*f + 4. Suppose 4*d = 2*d + 16. Does 9 divide y(d)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = 52*g**3 + 4*g**2 - 2*g. Determine w(1).\nAnswer: 54","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 43 (base 16) to base 14.\nAnswer: 4b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*h = 3*h. Suppose h*o - 24 = 4*y - 4*o, -3*y = -o + 8. Sort y, 2, -5.\nAnswer: -5, y, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = 6*a + 19. Let i be l(12). Let p = i - 88. Solve 4*m + 4*d - 8 = 0, -p*m - m + 5*d = 37 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3 - 28. Let r = 24.91 + o. Let d = r + 0.12. What is d rounded to 1 decimal place?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.274 less than -4037?\nAnswer: -4036.726","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -14*c**2 - 1646*c - 933. Let t be g(-117). Let v = -2 - -4. Suppose -4*n + 6 = -14. Solve -p = 5*z - 17, -v*p + t*p = -z + n for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -142381 = -6*t + 20957. Suppose 10206 + t = 7*r. Is r composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*w**2 - 4*w**2 - 2*w**3)*(1 - 261*w + 261*w - 2*w**2) - 128*w**5 - 3*w**3 - 121*w**5 - 3*w**2 + 251*w**5.\nAnswer: 6*w**5 - 5*w**3 - 3*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 95.46606 millennia in years?\nAnswer: 95466.06","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 159009048 + 1.\nAnswer: 159009049","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1031, -2059, -3087, -4115, -5143?\nAnswer: -6171","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 970.789l?\nAnswer: 970789","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 4\/22 + 2\/(-11). What is the second derivative of 3*k**5 + h*k - k**5 - 6*k + k**5 wrt k?\nAnswer: 60*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (345\/20)\/(8568\/(-19040)*5\/6)?\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1970*v**2 - 128 + 8154*v**2 + 128.\nAnswer: 6184*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-3\/8)\/k*k**(-4\/7)*k)**(-3)*(k*k*k\/(k*k**(-2)*k*k)*k)**(-6\/5)*(k**(-4\/5)\/k)\/k*k\/(k*k**(-3))*k assuming k is positive.\nAnswer: k**(123\/280)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*y = 2*r - 2, y + 8*r - 6*r = -10 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 659*o + 5*j - 46060 = 657*o, -4*o + 4*j = -92204. List the prime factors of o.\nAnswer: 5, 11, 419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3600681362.\nAnswer: 2, 17, 71, 1491583","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -31*k + 27*k - 35*k = 546 for k.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -107, -147, -197, -263, -351, -467, -617, -807?\nAnswer: -1043","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2725\/12303 - -1\/1367. Let l be -2 + ((-57)\/(-8))\/3. Sort l, -2\/7, t in increasing order.\nAnswer: -2\/7, t, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (12 - (-7158 - 4)) + 10?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -20*i**3 - i**2 + 4. Let a be r(2). Let s = -70 - a. What is the units digit of s?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 7, -170, -3, 3 in descending order.\nAnswer: 7, 3, -3, -170","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3680.999995949 - 3681. What is m rounded to six dps?\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -39 (b) -1\/77 (c) -1 (d) 2 (e) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 111065 is divided by 123.\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 176232397, 176232396, 176232395, 176232394, 176232393, 176232392?\n\"Answer: -z + 176232398","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 5507112 and 1950?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m + 33 = 38. What is the fourth smallest value in -4, m, -2, 5\/4?\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r*r**(-27))\/r)**(-3\/2) assuming r is positive.\nAnswer: r**(81\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p + 34 = 2*v, -3*p + 3*v - 1 + 31 = 0. Let l(b) = b**2 - 6*b**2 + p*b**2. Let u(a) = -4*a. Calculate l(u(n)).\nAnswer: 64*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y = 4*y - 2. Let w be (0\/(-2 + 3))\/(-3). Suppose y*q + q - 54 = w. Is 13 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q and 2 w when three letters picked without replacement from qqqqqqqqqqqqwwqqqqqq?\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -66 - 124. Let o = -84 - t. List the prime factors of o.\nAnswer: 2, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -5881549 - 9?\nAnswer: -5881557","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -14617\/1464 - -20\/183. Let h = 296137 + -2691859\/9. Let k = -2954 - h. Calculate the common denominator of m and k.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 150155934?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = u**5 + u**4 - 2*u**3 + u**2 + 1. Let l(g) = -2*g**5 + 206*g**4 - 418*g**3 + 210*g**2 - 4. Let d(q) = l(q) + 4*y(q). Factor d(f).\nAnswer: 2*f**2*(f - 1)**2*(f + 107)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3664 + 4\nAnswer: 3668","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (134000 - -5)*51\/5. Suppose -93149 - k = f + w, -w = 0. Round f to the nearest 1000000.\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -1083, -2122, -3161, -4200?\n\"Answer: -1039*k - 44","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -l**4 - l**4 + 5*l**4 + (-4*l**2 - 40*l**2 + 5*l**2)*(-l**2 - 3*l + 2*l**2 + 2*l).\nAnswer: -36*l**4 + 39*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 873\/550 - 9\/25. Let i = -8\/37 + 764\/111. What is the common denominator of i and s?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -3*z**2 - 20*z + 14. Let k(b) = b**2 + 7*b - 5. Let u(j) = -3*d(j) - 8*k(j). What is u(-5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 1262.015 and -1?\nAnswer: 1263.015","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -115*u + 5*l - 646 - 54 = 0, -2*u + 4*l - 57 = 2*l + 3 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r + 62 = 2*o, r + 82 = -4*r - 2*o. Let a be (((-27)\/r)\/(3\/(-8)))\/(-1). What is the fourth smallest value in -0.2, 0.4, a, 1?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1266 + -577. Is x composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -31321 + 1?\nAnswer: -31320","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 7701.712 nanoseconds in milliseconds?\nAnswer: 0.007701712","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z - 40 = -10*z. Suppose -z = -2*h + 3*x, -4*h + 0*x - 4*x = 4. Solve 0 = 3*c + g - h, 4*g - 6 = -3*c + 7 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2\/3 or 5407.20302?\nAnswer: 5407.20302","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fdessiqfdedqqq. Give prob of sequence ds.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3192 is divided by 1053.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 36\/(-9) + (-100)\/(-26)?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*q - 12 = 0, -246579*c + 246577*c - 2*q = 4 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -526*o + 1056*o - 544*o.\nAnswer: -14*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -821*w - 3. Let a(t) = -2455*t - 7. Calculate -4*a(k) + 11*h(k).\nAnswer: 789*k - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -421856 divided by -6?\nAnswer: 210928\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 669*o**3 + 913.\nAnswer: 2007*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -18589, -19468, -21849, -26482, -34117, -45504, -61393?\n\"Answer: -125*n**3 - n**2 - n - 18462","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = 2*g**3 - 3*g**2 - 47 + 43 + 4*g + 6*g**2. Let a(q) = 2*q**2 + 6*q + q**3 - 3*q - 3 + 0*q. Calculate 4*a(i) - 3*j(i).\nAnswer: -2*i**3 - i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 60 - 34. What are the prime factors of f?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -59*b - 16 = -58*b + 3*y, 0 = -5*b + 5*y + 40 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 6 + 1)*(18*q - 10*q - 17*q + (q + 0*q - 2*q)*(3 + 2 - 3))*(-4*q**2 + 4*q**2 - 2*q**2).\nAnswer: 66*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -19430264 + -3?\nAnswer: -19430267","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o, 2 f, and 1 k when four letters picked without replacement from {k: 2, f: 4, o: 5}.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (2 + 2)\/(-8)*120\/2. Find the common denominator of 59\/5 and (-4)\/9*3\/g.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 332 minutes after 7:27 PM?\nAnswer: 12:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 2382 to the power of 1\/2, to the nearest integer?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(91)*1 - sqrt(91))\/(sqrt(7) + (sqrt(7) - sqrt(49)\/sqrt(63))) - (-1 + sqrt(52)\/sqrt(4) + sqrt(13))*-1*6.\nAnswer: -6 + 63*sqrt(13)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((n**0*n)\/n**8)\/(n**(-3\/4)*n*n*n\/n**(2\/11)))**(41\/3) assuming n is positive.\nAnswer: n**(-5453\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) be the first derivative of -c**6\/10 - c**4\/12 - 2*c - 2. Let h(s) be the first derivative of z(s). What is the third derivative of h(u) wrt u?\nAnswer: -72*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from txzxvzzxtxtzzzx. What is prob of sequence vt?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -12*b**3*m*p**2 + 200*b**2*m*p**2 + 12*m*p**2 - m*p + p - 28 wrt b.\nAnswer: -36*b**2*m*p**2 + 400*b*m*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) be the third derivative of -8*w**2 + 0 + 0*w + 1\/6*w**3 + 1\/360*w**6 + 1\/30*w**5 + 0*w**4. Let y(u) be the first derivative of z(u). Determine y(-6).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1323, -41, -27, 1, 3 in descending order.\nAnswer: 1323, 3, 1, -27, -41","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 v when two letters picked without replacement from {v: 5, k: 5}?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*o = -7*d + 313 - 311, 6*d + 4*o = 4 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g, 1 d, 1 b, and 1 x when four letters picked without replacement from bvegdxb.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 279, -5, -3, -2 in increasing order.\nAnswer: -5, -3, -2, 279","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 91 and 2517501.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) be the first derivative of -q**3\/3 - 3*q**2\/2 + 10*q - 123. What is v(-6)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.17 - -3.83. What is the nearest to 0.06 in m, -2\/9, -1\/3?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -11\/30 and 80\/63.\nAnswer: 630","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 49.85 - 0.85. Let q = -68.8536 - -19.85495. Let a = q + p. What is a rounded to 4 decimal places?\nAnswer: 0.0014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 85254 and 208?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 807 divided by 3?\nAnswer: 269","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -417*m**6*w**2 + 530*m**3*w**2 - 2*m**2*w**2 + 1844*m**2 + 25*m*w + w wrt m?\nAnswer: -50040*m**3*w**2 + 3180*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -12 + 2*u**4 - 17*u**3 - 89*u + 31*u**3 + 10 - 14*u**3 to the form m + c*u**2 + h*u**4 + b*u + x*u**3 and give c.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is -5770\/50811 >= 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.07 - -0.53. Let p = 0.2531 - 3.2531. What is the closest to 2 in 1\/2, p, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*t**2 + 19475*t\/3 - 194405\/3 = 0. Calculate t.\nAnswer: -659, 59\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 5 + 45\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -6549c - -7a?\nAnswer: -65422","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -96380, -96419, -96496, -96623, -96812, -97075?\nAnswer: -97424","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 57496644.\nAnswer: 2, 3, 1597129","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 103\/224802 and 121\/15599304.\nAnswer: 358783992","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 136662 is divided by 1200?\nAnswer: 1062","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + 4*(-1*sqrt(17) + sqrt(17)) + 3 + sqrt(153))*4.\nAnswer: 12 + 12*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -36, 3, 1, 2 in decreasing order.\nAnswer: 3, 2, 1, -5, -36","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 139 a factor of 70441540?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 226763804.\nAnswer: 2, 56690951","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -11*a - 84. Let j(t) = 4*t**2 + 2. What is the smallest common multiple of g(-8) and j(-2)?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) be the third derivative of 0*u + 0*u**7 + 15\/112*u**8 + 0 + 0*u**4 + 0*u**6 - 49\/60*u**5 + 0*u**3 + 11*u**2. Find the third derivative of l(j) wrt j.\nAnswer: 2700*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -1, 1, -10856 in descending order.\nAnswer: 1, -1, -3, -10856","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -48*x - 93. Is 15 a factor of p(-6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 128067 and 180.\nAnswer: 128247","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -13229, -106080, -358137, -849002, -1658277, -2865564, -4550465?\nAnswer: -6792582","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4 in 3\/5, -28.16, 0.68, 1\/3?\nAnswer: 0.68","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -34398846.59 plus 0.2?\nAnswer: -34398846.39","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1 (b) -6 (c) -2\/35 (d) -0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -7 + 7.1. Let y be (-8)\/3*45\/(-6). Let m be ((-2)\/y)\/(2\/5). Which is the second biggest value? (a) 1\/2 (b) w (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = -10*y - 5. Sort -2\/15, -5\/4, -11, y in increasing order.\nAnswer: -11, -5\/4, y, -2\/15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) be the second derivative of -3\/20*v**5 + 0*v**3 + 0*v**2 + 1\/4*v**4 + 0 + 3*v. Solve x(g) = 0 for g.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*y + 16 + 2. Let z(t) = -t**3 - 3*t - 4*t - 7*t**2 - 4*t**3 + 4*t**3 + 4. Let q be z(y). Solve -4*g = -2*g + q for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 39*o**2 - 9*o**2 + 36 - 24*o**2 - 172 in the form i*o + j + s*o**2 and give s.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) be the second derivative of c**5\/15 - c**2\/2 - 5*c. Let f(u) be the first derivative of y(u). Let o(p) = -2*p. Calculate f(o(h)).\nAnswer: 16*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-1)\/(-9))\/((-158)\/(-237)). Let f(k) be the first derivative of 23 + 2*k + s*k**3 - k**2. Let f(i) = 0. What is i?\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -8221.5 + 8221. What is the fifth smallest value in k, 1, 3, 7\/3, -2\/9?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 335209 and 2989.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uuyyryyuya. Give prob of picking 1 u and 1 r.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -103*g - 110*g - 119*g - 108*g - 108*g + 549*g.\nAnswer: g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(243)*2*-1 + (-2 + sqrt(243) + sqrt(243)*1)**2 - (3 + sqrt(243) + 5 + sqrt(243)*-2 + sqrt(243))**2) + -4.\nAnswer: -90*sqrt(3) + 908","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -53082 (base 12) to base 13\nAnswer: -3a799","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q = c + 8, -1 = c - 3*q + 11. Let z(m) = 2*m**3 + 7*m**2 + 10*m - 6. Let i = 0 + -17. Let s(x) = -6*x**3 - 20*x**2 - 29*x + 17. Give c*s(j) + i*z(j).\nAnswer: 2*j**3 + j**2 + 4*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = 2*m**3 - 352*m**2 - 1442*m + 409. What is j(180)?\nAnswer: 49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -q + 8. Let g(w) = -3*w + 15. Let i(l) = 4*g(l) - 7*h(l). Let y = -54 - -57. Determine i(y).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10100010100000101010 (base 2) to base 6.\nAnswer: -22133402","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 808*p = 789*p + 963 - 336 for p.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -v**2 + 1. Let f be 2*((-84)\/8)\/(-7). Let r(a) = a**3 + 8*a**2 - a + 5. Let h(x) = f*p(x) + r(x). What is the units digit of h(-4)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 14\/35 - (-4)\/(-10). Let j be 3\/3*1*22. Suppose 2*v = 3*r + 7 + j, -v = 3*r - 19. Solve 5*p = -5*z - b*p + 40, -5*p + v = -3*z for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = 68*c**3 + 2*c**2 + 20*c - 23. Let r be q(1). Solve r*b - 81 + 14 = 0 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = 17*u. Let n(x) = 157496*x**2. Determine n(y(z)).\nAnswer: 45516344*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -4*r**2 + 95*r + 140. Give b(32).\nAnswer: -916","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23 = 13*u + 46 + 48 for u.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -3082, -6219, -9356, -12493, -15630?\n\"Answer: -3137*g + 55","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -1 - -1042?\nAnswer: 1041","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -13*b**3 + 4*b**2 - 16*b + 13. What is l(1)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -434, -441, -448, -455, -462, -469?\nAnswer: -476","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -11, 3, -981?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2 - -5. Suppose -3 = -2*c + u. Solve 3*m = -c*j + 9, -17 = 2*m - 2*j - 7 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3 + -43. Let d = 31 + s. What is the nearest to 3 in d, -3, 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 179\/56 or 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 516375?\nAnswer: 3, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 984297.092 to the nearest ten.\nAnswer: 984300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 5, c: 1, e: 1, d: 5}. Give prob of picking 3 d and 1 e.\nAnswer: 2\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -2*p**2 + 40. Let i(s) be the third derivative of -11*s**5\/60 + 2196*s**2. Calculate a(i(m)).\nAnswer: -242*m**4 + 40","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (399*f**4 - 779*f**4 + 399*f**4)*(-9*f + 2*f + f) + 7*f**2 + f**3 - f**5 + 9*f**2 - 15*f**2 + 1.\nAnswer: -115*f**5 + f**3 + f**2 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -8551372*j**2 - j - 2302358?\nAnswer: -17102744","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 307891 divided by 5?\nAnswer: 307891\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = 2*y**2 + 3*y + 3. Let i be j(-2). Let t be ((-16 - 0)*2)\/(12\/(-6)). Let p = -135 - -137. Solve -5*g + 4*g - t = -3*k, i*k = p*g + 28 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 7 - 3. Let f = -120546 + 120551. Solve -f*m = -2*l + 12, 0*m - 4*l = r*m + 32 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/1*6\/4.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = 20 - 13*q + 0 + 0*q - 71*q. What are the prime factors of m(-4)?\nAnswer: 2, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -817788 - 5?\nAnswer: -817804","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is (-41396)\/(-6) + (-12 - -8)\/12 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1667584 and 9380160?\nAnswer: 75041280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -230411*t**3 + t**2 + 4*t - 4314781.\nAnswer: -691233*t**2 + 2*t + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1476697?\nAnswer: 41, 36017","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -37? (a) -0.28 (b) -5 (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-5 + 1 + 1)*(-2*z + 6*z + 2*z) - 3*z + 2 - 2)*(-23*z - 32*z + 74*z).\nAnswer: -399*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 260008\/420 - (-1)\/(-15). Let j = n - 616. Factor -70\/3*u - 2\/3*u**j + 50\/3 + 22\/3*u**2.\nAnswer: -2*(u - 5)**2*(u - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 14 + -c7?\nAnswer: -b3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12611.\nAnswer: 12611","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-24)\/(-14))\/(8\/28) + (-76)\/13.\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -41218916 divided by 2.\nAnswer: -20609458","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x + 2 = -13. Let c(s) = s**2 + 2*s - 6. Let g be c(x). Suppose o - 7 = d, 3*o + g = -5*d - 2. Solve -v - 6 = -2*p, -3*p - 2*v = o*v - 22 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 841 is divided by 817.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) be the second derivative of -q**3\/3 - 5445*q. Let w(i) = -35*i**2 + 6. Let l(s) = -280*s**2 + 49. Let c(a) = 6*l(a) - 49*w(a). What is d(c(f))?\nAnswer: -70*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 124 and 279.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*d - 17 = -5*b, -9 = -2*d + 27*b - 30*b for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2894808*d*y**3 - 2*d*y + 20*y**3 - 25*y**2 - 258*y - 2 wrt d?\nAnswer: 2894808*y**3 - 2*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*k**2.\nAnswer: -5*k**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0165408 take away -578983903?\nAnswer: 578983903.0165408","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*l - 5*l - 12 = 30*o - 29*o, -5248*l + 1138*l = 2*o - o + 8226 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 53012, 0, 2 in ascending order.\nAnswer: 0, 2, 53012","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 36263 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -176*s**3 + 77*s**2.\nAnswer: -1056","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.264 + -1.746. Let o = z - -0.01. Let u = o - -6. Which is the smallest value? (a) u (b) -0.3 (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*w**2 + 54340*w + 147641780.\nAnswer: 5*(w + 5434)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 17528 and 92?\nAnswer: 403144","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 91 minutes after 6:57 AM?\nAnswer: 8:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2546, -5087, -7626, -10163?\nAnswer: -12698","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -8*y - 113. What is v(-15)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = 323*o**2 + 7*o - 1. Let v(l) = l - 1. Let x(h) = r(h) - 4*v(h). What is the tens digit of x(-1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/9 in 11, 0.5, 0.4, 1?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 118 or -2724?\nAnswer: -2724","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 169 is divided by 152?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 3 + 7)*(-3*c + c + 0*c) - 162*c - 1155*c - 1070*c - 561*c.\nAnswer: -2962*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 25c44 + -4?\nAnswer: 25c40","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -7716, -7714, -7712, -7710, -7708, -7706?\nAnswer: -7704","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 3 (b) 26 (c) -1 (d) -0.04\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*y - 3*y + 24. Let s = y - 20. Let t = -7 - s. What are the prime factors of t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 240631638?\nAnswer: 2, 3, 13, 71, 43451","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -4*k**3 + 6*k**2 + 4*k - 1. Let s(x) = x**3 - x**2 - x. Let c(q) = o(q) + 5*s(q). Find w, given that c(w) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1022 (base 5) to base 12.\nAnswer: b5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-1\/10)*x**(2\/19)\/x*x)**(-5\/2) assuming x is positive.\nAnswer: x**(-1\/76)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 1258 divided by -629\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (114 + 0)*20\/40. Suppose -2*b + 2*c + l = 43, -3*b = 2*c - 16. Let 3\/2*a**4 - 33\/4*a**3 + 12 - b*a**2 + 3\/4*a**5 + 15*a = 0. Calculate a.\nAnswer: -4, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -150224 - -0.3.\nAnswer: -150223.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) be the second derivative of 37*j**5\/20 - j**3\/6 + 8*j**2 + 2*j + 6. Find the second derivative of w(s) wrt s.\nAnswer: 222*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/(i**(1\/8)*i*i))\/(i*i**(-5\/2)*i*i)*i**(3\/2)*i*i*(i*i**(-1)\/i)\/i*i assuming i is positive.\nAnswer: i**(7\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1036 and 140.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 416\/2912 - (-3)\/(630\/166). Which is the second smallest value? (a) -3\/4 (b) t (c) -2\/9 (d) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -770 (b) -3\/8 (c) 4 (d) 29\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -27545, -60089, -92633?\n\"Answer: -32544*a + 4999","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 81 and 12.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Are -2 and -0.1541891 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*((sqrt(1375) - sqrt(1375)*1) + sqrt(1375) - sqrt(55))\/sqrt(11))**2.\nAnswer: 720","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -106058*c + 53041*c - 397*c**3 + 53017*c.\nAnswer: -397*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 12, -20\/9, 1\/8, -7 in decreasing order.\nAnswer: 12, 1\/8, -20\/9, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is three tenths of a decade in months?\nAnswer: 36","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*b**3 + 2*b**3 + 6 - 4 - 2.\nAnswer: 4*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3889, 3891, 3895, 3901, 3909, 3919?\nAnswer: 3931","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 202164367 is divided by 33.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -0.19 * 29.63\nAnswer: -5.6297","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 19\/4 of a hour?\nAnswer: 17100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -11100 (base 3) in base 6?\nAnswer: -313","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence khhh when four letters picked without replacement from kkjkhkjkkjkkkkkk?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 1, n: 3, f: 4, b: 2, q: 4}. What is prob of sequence nnef?\nAnswer: 1\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Determine g so that 2*g**4\/7 - 376*g**3 + 871176*g**2\/7 - 493312*g + 3442688\/7 = 0.\nAnswer: 2, 656","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 45, 36, 15, -24, -87, -180, -309?\n\"Answer: -w**3 - 2*w + 48","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ry when two letters picked without replacement from ryrrrruyrdur?\nAnswer: 7\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-7)\/(-4) - 2\/(-8). Let x = -3 + 25. Calculate the lowest common multiple of x and 2 - (-16 + s) - 0.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 6955275?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/541259 at most as big as 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 22852.\nAnswer: 2, 29, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -13\/33 and -6\/407?\nAnswer: 1221","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Determine r so that 2*r**5 + 676*r**4\/3 - 914*r**3\/3 - 224*r**2\/3 + 152*r = 0.\nAnswer: -114, -2\/3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1586\/7 + -227. Let w = 4.88 + -5. Let b = w + -0.08. What is the closest to f in -2\/9, 0, b?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 0\/((-2 + -1)\/3). Suppose -2*j = -4*y + 18, -2*y - 2*j = -l*y - 6. Suppose 0 = 5*w - y*w - 15. Is w composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -2\/27, 0.7, 0.5, 2\/3, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-18)\/(-21) - 762\/7112.\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 15311183 to the nearest integer?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) be the third derivative of n**8\/10080 - n**5\/5 - 29*n**2. Let y(h) be the third derivative of g(h). Let s(x) = 8*x + 10*x - 8*x. Determine s(y(b)).\nAnswer: 20*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n = j - 23308, 3*n - 2888 = j - 26190. Is j a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -222508 less than -222548?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = 3*w - 9. Suppose -80 - 40 = -5*x. Calculate the remainder when x is divided by o(6).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(7\/3)\/u*u**(3\/7))**28 assuming u is positive.\nAnswer: u**(148\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -3 + -305878?\nAnswer: -305882","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -f**2. Let g(l) = 2*l - 4*l - 187 + 234. Let v(m) = 6*m - 143. Let p(s) = -7*g(s) - 2*v(s). Determine p(r(t)).\nAnswer: -2*t**2 - 43","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -164, 26, 5 in increasing order.\nAnswer: -164, 5, 26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let -10*v**5 - 26*v**4 + 3126*v**3 + 26*v**2 - 3116*v = 0. What is v?\nAnswer: -19, -1, 0, 1, 82\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 15803 + -10831. What are the prime factors of y?\nAnswer: 2, 11, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 136662 is divided by 15?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 902 and 12792?\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -x**2 - x - 4. Let q(c) = 2*c**2 + c + 360. Calculate -q(j) - v(j).\nAnswer: -j**2 - 356","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide -968877 by -19773.\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1073?\nAnswer: 29, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -0.2, -1, -85, -16, -0.09, 0.1?\nAnswer: -0.09","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 26 and 234?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 96*c**2*k**4 - 11*c**2*k**3 + 98*c**2*k - 85*c*k**2 wrt k?\nAnswer: 2304*c**2*k - 66*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kp when two letters picked without replacement from pppspkapkpap?\nAnswer: 7\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 25255 to the power of 1\/2, to the nearest integer?\nAnswer: 159","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = y**3 + 39*y**2 - 390*y - 5634. Determine n(-45).\nAnswer: -234","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 4.8 and 30?\nAnswer: 144","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = 7*c - 15. Suppose 0 = 8*n - 6*n - 10. What is the tens digit of x(n)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 5\/4? (a) 2\/17 (b) 16 (c) -1.1 (d) -0.4 (e) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2580?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is -43\/18 <= -3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -k**3 - 4*k**2 + 4. Let x be r(-4). Suppose 0 = 2*y, y = -4*m - y + 1088. Suppose -h + 3*h + x = 0, 4*h - m = -4*p. Does 10 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 49 divided by 49\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) be the second derivative of -1\/6*z**3 + 0 + 5*z**2 - 2*z. Let f(m) be the second derivative of m**2 - m. What is -2*a(r) + 11*f(r)?\nAnswer: 2*r + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve o - 41*c + 38*c = 17, -c + 371 = 75*o for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -2*l + 2. Let v(s) = -s + 1. Let z(a) = -3*v(a) + 2*x(a). Let q(w) = w**2 + 2*w - 2. Determine 3*q(b) + 6*z(b).\nAnswer: 3*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -18*t**3 - t**2 - t - 1. Let w = -48 - -47. What is j(w)?\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.407 + 0.607. Let p = 0.03 + -0.43. What is the third biggest value in 54, n, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1566 a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 24 times 3167?\nAnswer: 76008","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in -4\/3, 32, 2, 1\/5, 3\/13, 207, 0?\nAnswer: 32","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 234aa5 (base 12) to base 2\nAnswer: 10001010110000011101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-23 - 24 + 25)*(7 + 0 + z - 7).\nAnswer: -22*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 11, 13, 15?\n\"Answer: 2*f + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -77384 by 4552.\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = 2*c. Let t(q) = -5*q. Let s(g) = -2*g. Let o(z) = 14*s(z) - 6*t(z). Give x(o(a)).\nAnswer: 4*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 3 + -1. Suppose -10 = 5*t + 5, -2*p - a*t = 0. Solve p*y = y - 4 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 6\/132*4 + (-156)\/11. Let d(z) = z**2 + 15*z + 24. Let p be d(f). Which is bigger: p or 53\/5?\nAnswer: 53\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(343) + (-1 + sqrt(343) + -2 - sqrt(343)) + (sqrt(343)*1)**2*2 + sqrt(343))*-5.\nAnswer: -3415 - 70*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 175 - (-1 - -86) - 7.\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -46755 or -46756?\nAnswer: -46756","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x - 4*p = 28, -5*p = -70*x + 71*x - 49. Suppose 4*u - 780 = -u. Calculate the highest common factor of u and x.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**(1\/4)*w*w**13 assuming w is positive.\nAnswer: w**(57\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(-2 + -1 + -1*(sqrt(76) + 0 + sqrt(76) + 0) + -4)**2.\nAnswer: -2118 - 336*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 2419.47mm?\nAnswer: 0.00241947","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lb when two letters picked without replacement from {l: 9, i: 4, b: 2, y: 1, n: 3}.\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m and 1 q when two letters picked without replacement from {m: 1, v: 1, c: 1, d: 2, q: 1, y: 1}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 1\/1722 and -101\/902?\nAnswer: 18942","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -11 + (-1 - (-1336)\/128) - (-7)\/4.\nAnswer: 3\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 281*y - 27324 = 1799*y for y.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:25 AM and 3:23 PM?\nAnswer: 538","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u + 5 = 5*k, 2*k = u + k + 5. Let o(y) = 1426*y**2 + 3*y + 2. Let x be o(u). What is x rounded to the nearest one thousand?\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.077 in 5, -5, -2\/11?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) be the third derivative of m**5\/60 + m**4\/24 - 5*m**3\/6 - 20*m**2. Determine r(4).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f = -4*h - 89 - 75, 0 = -f - 3*h - 87. Let u be (3882\/f)\/(1\/38). Let s = u - -2073. What is the common denominator of s and 87\/8?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.2, 98\/5, 1\/3 in decreasing order.\nAnswer: 98\/5, 1\/3, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 374, -1\/6, 0.04, 0.2, -1, 0 in decreasing order.\nAnswer: 374, 0.2, 0.04, 0, -1\/6, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 251 - 71. Suppose 4*h + l = 271 - 19, 3*h + 3*l = z. Let p = -50 + h. Solve -g + 5*m = -14 - p, -29 = -3*g + 4*m for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 600 and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 113250 - 14?\nAnswer: 113234","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -2*a - 3*a**2 + 5*a**2 + 5*a - 247 + 289. What is the remainder when 335 is divided by o(0)?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -a**2 + 2*a - 1. Let s be x(3). Let p be -3*(s + 3) + 1. Suppose 80 = 7*m - 3*m + 5*y, -p*y + 76 = 4*m. List the prime factors of m.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3.49 - 0.31. Let z = 3.9 + k. What is the nearest to z in -4, 2\/5, -2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -11160 in -1, 5, 4?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -36812726*a**2 + 45512051.\nAnswer: -73625452*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = 1 + k + 4 + 13. Let x be d(-14). Suppose x*m - 92 = 32. Is m a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2356730?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*u + 7*u + 4*a = 2*a, -249*u + 248*u - 5*a = 0 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 436, 1929, 4488, 8113, 12804?\n\"Answer: 533*n**2 - 106*n + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 269280 and 3520?\nAnswer: 538560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 - (1 + (-4 - -2)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 24 - 17. Suppose 3*h - 29 = y. Let m be (3 + 36\/4)*2. What is the highest common divisor of h and m?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 10187, 22481, 34775, 47069, 59363?\nAnswer: 71657","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = 4. Let x(h) = h - 3. Let s(k) = 3*j(k) + 4*x(k). Let o(f) = 4*f - 3. Let t(d) = -5*d + 4. Let q(b) = 4*o(b) + 3*t(b). What is q(s(m))?\nAnswer: 4*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 6.03 - 6. Let o = -2.03 + t. Let y = 0.4 - -0.1. Sort 1\/4, y, o in ascending order.\nAnswer: o, 1\/4, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 657 minutes before 10:19 AM?\nAnswer: 11:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*a - 9 - 7. Suppose -9*b + 620 = -a*b. What is the greatest common factor of 155 and b?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1926*b - 3856*b - 24570 + 2*b**2 + 1928*b.\nAnswer: 2*b**2 - 2*b - 24570","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 15531366?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 13 - 11. Let n = 9 - 5. Is 161 + (0 - n)\/(a\/(-1)) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -110 + 15 = 19*l. Let g = 0.3 + -0.5. Let a = 0.2 + g. Put l, 6\/11, a in decreasing order.\nAnswer: 6\/11, a, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9239359 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 0 = -2398?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 39 greater than or equal to 676\/17?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = w + 3, -15*w + 10*w = -n + 19 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (9 - 5) + (-167)\/(-1).\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nnjhaom. Give prob of sequence mj.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w - 2*r = -0*w - 2, 0 = 5*r + 5. Suppose -3*z - w = -4. Let q be ((2 - -1) + -4)\/z. Is q >= -15\/8?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -2*w - 6. Let x = 88 + -62. Let f = -33 + x. Give u(f).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 5780876?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 62122?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 378 divide 756173949?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 12 - 20?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 872695 and 2635.\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -123022 + -5?\nAnswer: -123031","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 4, -5, 1, 0.703, 2\/19?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find w such that -2*w**2\/7 + 19406*w\/7 + 655644 = 0.\nAnswer: -231, 9934","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1482 and 798.\nAnswer: 10374","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 389616?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 57\/38*44\/3. Solve 3*o - 8*o = -f - t, -3*o + 3 = -4*f for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ppx when three letters picked without replacement from {x: 5, p: 3}.\nAnswer: 5\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.019499 to 3 dps.\nAnswer: -0.019","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert -140301 (base 5) to base 7.\nAnswer: -22423","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -7*i**2 + i + 1. Let s(n) = -n**2. Let q(g) = -g**2 + 28*g - 1. Let p be q(28). Let t(v) = p*u(v) + 2*s(v). What is the tens digit of t(5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 16264 (b) -4 (c) 4217 (d) 2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000073675905 to 7 dps.\nAnswer: 0.0000074","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -363, -354, -339, -318?\n\"Answer: 3*v**2 - 366","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:05 AM and 10:12 AM?\nAnswer: 547","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (16\/98)\/((19227\/(-1218))\/(-221))\nAnswer: 16\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) be the second derivative of v**7\/70 - 9*v**5\/50 + 2*v**4\/5 - 3*v**3\/10 + 6*v - 6. Find l such that u(l) = 0.\nAnswer: -3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1.58 + -0.7. Let c = -0.88 + w. Put 14, 3\/8, c in ascending order.\nAnswer: c, 3\/8, 14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor t**2 - 659*t + 57720.\nAnswer: (t - 555)*(t - 104)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 6158760 (base 9) to base 16\nAnswer: 3227a9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.082 - 18.582. Let l = -18 - z. Which is the second biggest value? (a) -2\/35 (b) 4 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -53294 - 5*l**3 + 53294 + 4*l**2 - 2*l as h + g*l**3 + u*l + d*l**2 and give d.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -760*m + 9477 = -29917 - 10006 for m.\nAnswer: 65","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s + 16 = 4*t, -6*s = -4*s - 8. Suppose 0 = -3*n - a + 3, -3*n + 3*a - 3 = t*a. Is n at least as big as 6\/23?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fs when two letters picked without replacement from {c: 4, f: 9, s: 3}?\nAnswer: 9\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y + 437 = 3*c, 5*c = 8*c + 2*y - 425. Differentiate 295*u + 1 - 63 - 73*u - c*u wrt u.\nAnswer: 79","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -64450519, -64450526, -64450545, -64450582, -64450643, -64450734, -64450861?\nAnswer: -64451030","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -23*d**2 + 88*d**2 - 63*d**2 - 5 + 0. Determine n(3).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = d**2 - 2*d + 1. Let h = -11 + 12. Let k(g) = 5. Suppose 4*i = -11 - 21. Let m(z) = -3. Let u(c) = i*m(c) - 5*k(c). Determine h*u(r) + p(r).\nAnswer: r**2 - 2*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 12753 - 140439\/11. Let r = -14 - m. Which is the second biggest value? (a) 5 (b) -5 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 5267937?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -111324424 (base 6) to base 14\nAnswer: -3acd32","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 27\/(-216)*65*(-12)\/(-30)?\nAnswer: -13\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-3)\/6 + 18\/4 - (21 - 20). Solve 18\/5 - 3\/5*h**4 + 21\/5*h**2 + 39\/5*h - 3\/5*h**s = 0 for h.\nAnswer: -2, -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -12*d + 16. Let j(f) = -5*f + 8. Let v(r) = -5*j(r) + 2*n(r). Determine v(5).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 76572 and 185049.\nAnswer: 2220588","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:19 PM and 1:25 AM?\nAnswer: 126","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 9 + -6. Suppose 3*x - 11 = -5. Suppose x*v - 21 = -5*m, -m - 3*m + 20 = 0. Sort v, n, -1.\nAnswer: v, -1, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 464a (base 12) to base 9\nAnswer: 11664","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 30\/13*(-2)\/(-6). Let h = s + -37\/65. Which is the third smallest value? (a) -0.3 (b) 1\/2 (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 56352, 112712, 169072, 225432, 281792?\n\"Answer: 56360*v - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -108339*g*q**3*y - 65*g*q**2*y - 142*g*q*y**3 + 151*g*y**2 + 77*q**3*y**3 wrt q.\nAnswer: -650034*g*y + 462*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -6184\/5 + 1237. Let a(r) be the third derivative of 0*r**3 + 0 + 0*r**4 + 0*r - h*r**5 + 2*r**2 - 1\/15*r**6. Find the third derivative of a(n) wrt n.\nAnswer: -48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 53020 and 4820?\nAnswer: 53020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-55)\/4)\/((-25)\/(-70)*196\/(-112)).\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.919 - -419.081. Let t = -419.9329 + c. What is t rounded to three dps?\nAnswer: 0.067","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 6 - -1. Let i = -6.9999972 + x. Round i to 6 dps.\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + 88 - 262 = -4*i, i - 2*k = 39. Solve 0 = d - 2*g - g - 20, -4*d + 5*g + i = 0 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 2, w: 1, l: 1, a: 1}. What is prob of sequence app?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5333 = 5*w - p, 3*w - 3*p - 4837 = -1630. What is the units digit of w?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2714 + 1582. Let j = q + 1132.000693. What is j rounded to 5 dps?\nAnswer: 0.00069","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1586.3838 minutes in hours?\nAnswer: 26.43973","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -5*k**3 - 19*k**2 + k + 80. Let n be l(30). Round n to the nearest ten thousand.\nAnswer: -150000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -113\/19543086 and -47\/30?\nAnswer: 97715430","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 15747052 and 1236?\nAnswer: 412","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 0\/(-2) - 658\/(-47). Let b(m) = 2*m**2 - 8*m + 4. Let j be b(6). What is the greatest common factor of j and y?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -t**3 + 7*t**2 - 4*t. Suppose b = 73 - 19. Let r = b + -34. Calculate the remainder when r is divided by x(6).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 793 = 4*g - 4*k - 495, -2*g + k + 649 = 0. List the prime factors of g.\nAnswer: 3, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 138 is divided by 36.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = 28*s - 9. Let i be v(-8). Which is bigger: -232 or i?\nAnswer: -232","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(432) - -2*(sqrt(432) + -3) - (1*sqrt(432) + 3)) + 3*(-3 + -1 + 2 + sqrt(432)))**2 + 2.\nAnswer: -1800*sqrt(3) + 11027","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(432))*2 + (sqrt(12)\/(sqrt(16)\/(sqrt(4)*-1)))**2.\nAnswer: 1 + 24*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*-1*sqrt(11) - (sqrt(88)\/sqrt(8) + -2))**2.\nAnswer: 12*sqrt(11) + 103","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or -1\/11022?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 889 even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 13640 divided by -10?\nAnswer: -1364","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p - 25895 + 2503 = -2*t, 3*t - 3*p - 35088 = 0. What are the prime factors of t?\nAnswer: 2, 17, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 448, 443, 438, 433, 428, 423?\nAnswer: 418","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.97 - -48.03. Let r be (28 + 5238\/(-189))\/(4\/(-7)). Sort r, s, -0.2 in decreasing order.\nAnswer: s, -0.2, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1000111011 (base 2) in base 7?\nAnswer: -1444","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + 4 + -6 + 1.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t - 12 = 0, -4*g - 5*t - 70 = 92. Suppose 3*r = 2*r + 1. Suppose 2*h - 8 + 0 = 0. Sort r, g, h in decreasing order.\nAnswer: h, r, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-15)\/20)\/(147\/(-14)))\/((-4)\/(-8))?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 19780341.\nAnswer: 3, 7, 107, 8803","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0 (b) -136.56 (c) 3 (d) 3\/55\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2543?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) be the first derivative of -o**3\/3 - 4*o**2 + 4*o + 21. Let w be s(-8). Let u be w\/(-14) - (-63)\/49. Put 3, u, 28 in descending order.\nAnswer: 28, 3, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13969329917 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (-20)\/(-60)*(-1)\/(1\/3)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -422235115 (base 6) to base 7.\nAnswer: -116555435","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m = 8*m - 63. Suppose z = -z + 36. Calculate the highest common factor of m and z.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -224002 - -2?\nAnswer: -224000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let 4\/13 - 6\/13*i + 2\/13*i**2 = 0. Calculate i.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or 9.2?\nAnswer: 9.2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s*(s*s\/(s*(s**(-2\/9)\/s)\/s)*s)\/s*s**5*(s**(-1\/3))**(-39) assuming s is positive.\nAnswer: s**(200\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -41 - -41. Suppose -5*f + 0 + 10 = y. Suppose -h + 14 + 31 = -3*a, f*a = -4*h + 110. Does 3 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 943923675.\nAnswer: 3, 5, 12585649","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 30\/((-11)\/14146*15429 + 12). What is the greatest common factor of x and 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 224343763 a multiple of 504?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor -m**4\/3 + 9*m**3 + m**2\/3 - 9*m.\nAnswer: -m*(m - 27)*(m - 1)*(m + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -4*m**3 + m**2 - 1. Suppose y = -2*o - 3, 0*o = 2*o + 2. Is h(y) a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.41181 times 13.2?\nAnswer: -45.035892","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 11045, 1\/7, 0.8, 0.16, 1\/6?\nAnswer: 11045","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g - 70 = 4*a - 9*a, -20 = -g - 4*a. Let j = 1208 - 1204. Solve -4*k = j - g for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 13*b + 88 - 49 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = 2*p**3 - 11*p**2 + 5*p + 11. Calculate m(5).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 45500368?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(3 + -2*sqrt(108)))**2.\nAnswer: -288*sqrt(3) + 1764","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5.715123 tonnes to grams.\nAnswer: 5715123","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 35 - 30. Suppose 2*q + 4*i + 15 = m, 3*q + 5*i + 14 = 0. Put -1, 7, q in descending order.\nAnswer: 7, -1, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ppppppppp. Give prob of picking 4 p.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.19, -1, -3, -0.4, 0, -7.514 in decreasing order.\nAnswer: 0, -0.19, -0.4, -1, -3, -7.514","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 344150*n**4 + n**3 - 1770976*n**2?\nAnswer: 8259600*n + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 628593 and 21843.\nAnswer: 2427","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 32 + -38 - (1 + -8)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2.23309 - -2.1331. Let i = s - -0.1. Round i to 4 decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + 1*sqrt(1584) + sqrt(1584) + sqrt(1584) + -1 + -1.\nAnswer: -5 + 36*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 24 and 27006.\nAnswer: 108024","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 13393, 13411, 13429?\n\"Answer: 18*w + 13375","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -y + 3*y. Let n(a) = a - 7599999*a**y - a**2 - 1 - a**2 + a**2. Let x be n(1). What is x rounded to the nearest one million?\nAnswer: -8000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.9 + 0.7. Let a be (1*-2 + -4)\/(81\/(-108)). Let z be (4 + 78\/(-20))\/(a\/(-60)). Put z, 2\/9, f in ascending order.\nAnswer: z, f, 2\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 248740 to the nearest integer?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(22)\/(sqrt(12)\/(sqrt(6)*2)).\nAnswer: 2*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6567, -4, -73, 100.\nAnswer: -73, -4, 100, 6567","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -9\/2570 - -28067\/15420. What is the common denominator of 67\/90 and m?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 49 and 93443.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 67, 115, 143, 145, 115?\nAnswer: 47","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = 5*v**3 - 3 - 4*v**3 - v**2 + 3*v**2 - 10*v. Let r be h(-4). Solve 0 = r*t - 2*q - 2, 0 = -t - 2*q + 6*q + 4 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1909908?\nAnswer: 2, 3, 7, 11, 13, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1208673.\nAnswer: 3, 23, 5839","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -65 + 42. Let z be 804\/28 + (-18)\/(-63). Let t = m + z. Solve 4*f - 13 = g - t, -9 = -3*f + 2*g for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1022 is divided by 301?\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 71\/2100084 and 39\/184.\nAnswer: 4200168","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xxx when three letters picked without replacement from exexeex?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2214 - o**2 - 4825 + 2611.\nAnswer: -o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -533\/4, 163, -0.5, 1\/31?\nAnswer: 163","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 9488 + -4656. What is the units digit of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of ((1024\/10)\/1)\/(20\/100)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -4, -359 in increasing order.\nAnswer: -359, -4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (-209)\/(110\/10) + 14\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28 = p + 30 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.7579, -5, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: 4 + -318535981423\nAnswer: -318535981419","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -19\/2356507 and 45\/4037?\nAnswer: 25921577","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -74990173337*k**2 + 0*k + 0*k + k**3 + 74990173337*k**2.\nAnswer: k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -250 - 805.\nAnswer: -1055","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -g**2 + 11*g + 65. Let w be l(15). Suppose 0 = -i - 2*p + 1165, 6*p - 5*p + 5847 = w*i. What is the tens digit of i?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1200020 + -12022012?\nAnswer: -20222102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -2*d**2 + 633*d + 20781. What is g(-30)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 83143908?\nAnswer: 2, 3, 28513","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 17 or 357\/110?\nAnswer: 357\/110","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 + 9 = 2*h. Suppose -4*l + 68 = 4*y, -y = l + 3*l - 23. Let g = y - 7. Solve 2*z - g = h*z for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l + 45847 = -3*r, 5*l - 76*r + 77*r - 45871 = 0. What is the thousands digit of l?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u**3\/3 + 34*u**2\/3 - 200*u\/3 - 3200 = 0. Calculate u.\nAnswer: -30, -20, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve t**2\/3 - 2540*t\/3 + 1612900\/3 = 0.\nAnswer: 1270","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -20\/419393 or -2\/11?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -9 + (-1 + 2 - -5)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find t, given that -3*t**2 + 1654098*t - 228003349467 = 0.\nAnswer: 275683","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 97?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 792 a factor of 2583638640?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is db0 + 2?\nAnswer: db2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve h + 2 = -121*m + 4, -2*m = -5*m + 6*m - 5*h + 10 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) be the first derivative of l**4\/4 - 659*l**2\/2 - 1019*l - 559. Find the first derivative of z(x) wrt x.\nAnswer: 3*x**2 - 659","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c = 3*c - 10. Let i(o) = o**2 + 5*o + 3. Let w be i(c). Suppose -2*r - t - 139 = -7*r, 3*r + w*t = 87. What are the prime factors of r?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (161 - 157) + -3 + -4 + (1 + -4 - -73)?\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1541607228 to the power of 1\/2, to the nearest integer?\nAnswer: 39263","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -c**2 - 5*c - 3. Let o be s(-3). Let a = -50\/21 - -8\/3. Sort o, a, -2\/3 in decreasing order.\nAnswer: o, a, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 10 - 7. Suppose q*c - 5 + 3 = 4*d, 0 = 3*d - 3*c + 3. Let t = 0 + d. What is the units digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x = 0, 4*x = -l + 9*x + 3. Let w(b) be the first derivative of 0*b**2 + 1\/3*b**l + 0*b + 4. Let k(r) = -5*r. Determine w(k(d)).\nAnswer: 25*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 != 4\/2887?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = 34545*y - 203. Is b(6) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 27990158803 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yuuuyuyuuuuuuu. What is prob of picking 4 u?\nAnswer: 30\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 65*p = -4*s - 357, p + 1 = -3*s - 28 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 279\/(-39) + 7 - 0\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = 9*x - 94. Let i(h) = 13*h - 139. Determine -5*i(d) + 7*t(d).\nAnswer: -2*d + 37","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 9 - (-2 - 0\/1). Let l = z + -46. What is the remainder when (-6 - l)\/((-1)\/(-2)) is divided by 20?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(88) - 2*sqrt(88)*2) + 1*sqrt(88)*-1)\/(sqrt(88)\/sqrt(176) + sqrt(8) - sqrt(40)\/sqrt(80)).\nAnswer: -4*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) be the first derivative of -c**2 + 7*c - 11. Let h be o(-6). Suppose -20*q = -h*q - 24. List the prime factors of q.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = 2*b - b - 3*b. Let g(k) be the first derivative of 3*k**3 - 8. Determine g(v(n)).\nAnswer: 36*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s - 419 = -3*s + d, 2*d - 2 = 0. Let x = s - 84. What is the units digit of ((x + -10)\/1)\/((-26)\/169)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.3, -14, 2, -0.7, -5 in descending order.\nAnswer: 2, -0.3, -0.7, -5, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 20 + 46 + 51 - 87 - 22*h**4 wrt h.\nAnswer: -88*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) be the second derivative of 175*y**5 - 300*y**2 - 2518*y. Differentiate v(k) with respect to k.\nAnswer: 10500*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b**3 - 145469*b**2 + 5290380224*b - 5290234756 = 0. What is b?\nAnswer: 1, 72734","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 20 - 2. Let f = -5 + y. Suppose 2*d + 3*d + 4 = 3*p, 3*p + 4*d - f = 0. Solve -1 - 2 = -p*n for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) be the first derivative of -k**2\/2 + 28*k + 20. Let j be b(8). Suppose 5*p = -j, -t + 3*t = -4*p - 12. Solve -5*r = t*a - 12 + 1, 2*r = -5*a - 4 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -9242472 and -10?\nAnswer: 92424720","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -25054 - -1395?\nAnswer: -2376a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -3.4 times -0.18\nAnswer: 0.612","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((i*i\/(i\/(i\/((i**15\/i)\/i*i))*i))\/(i*i*i**(-15)))\/(i**(-2\/3))**(-5\/19))**(-49) assuming i is positive.\nAnswer: i**(490\/57)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 33152 and 21733726.\nAnswer: 518","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 305 minutes before 2:37 AM?\nAnswer: 9:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 111437?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) be the third derivative of z**4\/6 - z**3\/2 + 2*z**2. What is the tens digit of r(5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -250*u**3 - 77700*u**2 - 8049720*u - 277983664.\nAnswer: -2*(5*u + 518)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 + -3 + -2 + 1 + 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in -3, 1\/2, 0.05, 19?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/19*63\/(-72)*18\/63?\nAnswer: -1\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = 3 + 4 - 8 + 0*d + 3*d. Let z(u) = 3*u. Calculate -2*a(c) + 3*z(c).\nAnswer: 3*c + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Product of 270.55 and -4.\nAnswer: -1082.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11 (base 3) to base 16.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*j + 445*l - 446*l + 22, 3*l = j + 52 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f = 14 - 2. Suppose 0 = -f*h - j - 5, 2*h + h - 4*j = -18. Let d(z) be the second derivative of -z**5\/20 - z**4\/6 + z**3\/6 + 5*z. Calculate d(h).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l**5\/7 - 137*l**4\/7 + 1037*l**3\/7 - 631*l**2\/7 - 258*l = 0. Calculate l.\nAnswer: -1, 0, 2, 7, 129","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find r, given that 0 - 9\/5*r**3 + 12*r - 177\/5*r**2 = 0.\nAnswer: -20, 0, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -0.1 (b) 0.4 (c) -21\/5 (d) 5 (e) 46\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -197\/2168100 and -113\/118260.\nAnswer: 6504300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 h when three letters picked without replacement from {h: 4, r: 10}?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -8*b**2 - 138*b + 1419. What is i(10)?\nAnswer: -761","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tg when two letters picked without replacement from ggtj.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 420952 is divided by 281?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -8 + 17. Suppose -x = t - 4*t. Suppose 3*r + 9 = -0*r, t*u - 4*r = 33. List the prime factors of u.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1350.468 rounded to the nearest 100?\nAnswer: -1400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -4*i - 2*c, i - 5*c = 6*i + 10. Let b(v) = 5*v + 1. Let f be b(i). Put -3, f, -1 in descending order.\nAnswer: -1, -3, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 10 - 11. Let a(l) = -l + 4. Let k be a(6). What is the tens digit of (-4)\/k + (b - -12)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -a + 4. Let o be t(-8). Let g(u) = o*u - 15*u - 11 + 3. Let k(y) = -2*y - 4. Let n(x) = 2*g(x) - 5*k(x). What is the first derivative of n(z) wrt z?\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 31\/2519152 and -68\/237.\nAnswer: 7557456","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m + 4*m + 30 = 0. Let c(q) = 3*q + 0*q - 2*q. Determine c(m).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g = -3*j + 17, 4*j + 1 = g + 5. Suppose -2*k = 4*a - 22, -4*a - 4*k + g + 24 = 0. What are the prime factors of (-18)\/12*(-4)\/a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -3*i**2. Let v(o) = 95*o**2 - 15*o + 7. Let s(y) = 48*y**2 - 7*y + 3. Let t(n) = -15*s(n) + 7*v(n). Calculate t(z(r)).\nAnswer: -495*r**4 + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:41 AM and 1:37 PM?\nAnswer: 416","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -62344 = -3*q - 5*p, -2*q = -20*p + 18*p - 41568. Is q a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 73365893?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1 - -7. Let b = 2045 + -26583\/13. What is the third biggest value in 0.1, d, b, 3?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (8\/14)\/((-65073)\/(-12971) + (-1 - 4)). Is v at least -29?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2 + 39*(-3)\/9*49. Let b = 20950\/33 + y. Is -1 <= b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 25874550 a multiple of 234?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 6674 + 2450. What are the prime factors of i?\nAnswer: 2, 2281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 4, q: 1, p: 5}. Give prob of picking 2 p.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.17 - 2.83. Which is the third smallest value? (a) 1\/5 (b) k (c) 3\/4 (d) 4\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) be the third derivative of -p**6\/40 + p**5\/12 - 11*p**3\/6 + p**2 - 19*p. Let o(a) = -4*a**3 + 7*a**2 - 17. What is 7*i(y) - 5*o(y)?\nAnswer: -y**3 + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = 2*o**2. Let q(u) be the third derivative of -17*u**5\/60 - 14*u**2. Determine f(q(c)).\nAnswer: 578*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*f**3 + 21*f - 51*f**2 - 21*f + f**3.\nAnswer: f**3 - 51*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2372?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -448 = -5*j - 2*u, -2*u + 66 = -2*j + 248. Suppose -5*r - w = -84, -5*w - j = -5*r - 0*w. What is the highest common divisor of r and 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -f**3 - 9*f**2 + 34*f - 27. What is c(-12)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*x + 34*x + 48 = 343. Let g be ((-6)\/8)\/(2\/(-8)). Solve -5*o = x, 0*o + o - 14 = -g*h for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 28 - 23. Which is the second biggest value? (a) i (b) -3 (c) -2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = 11*h**2 - 28*h - 8. Suppose -z + 5 = -4. Is b(z) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.041 - 2.641. Let l = j + 3.95. Round l to 1 decimal place.\nAnswer: 1.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 208334?\nAnswer: 2, 7, 23, 647","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = n**3 - 6*n**2 + 4*n + 3. Let s be p(4). Suppose 0 = -j + 4*a + 4, 31 = 4*a + 11. Let w = j + s. List the prime factors of w.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 1 - 3 + (2 - 1 + 0)*(-2 + 4 - 1) + 20 + 86 + 49)*(-12*h - 3*h + 6*h).\nAnswer: -1413*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.22*-0.1.\nAnswer: 0.022","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -18*a + 1. Let q(g) = -19*g + 1. Let p(x) = 4*q(x) - 3*y(x). Suppose -2*b + 4*b + 2 = 0. Is p(b) a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find f such that 26*f**2 + 11318*f + 420332 = 0.\nAnswer: -5126\/13, -41","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2.4? (a) -4\/159 (b) 369 (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 40.4482m in centimeters?\nAnswer: 4044.82","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -63, -59, -61, -75, -107, -163, -249, -371?\nAnswer: -535","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) be the third derivative of 13*p**8\/112 - 7*p**4\/8 - 10*p**2. Find the second derivative of s(x) wrt x.\nAnswer: 780*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -63520, -126395, -189266, -252133?\nAnswer: -314996","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -x**4 + 6*x**2 + 2*x**2 - 4*x**2 wrt x.\nAnswer: -24*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -5, 23, -2 in descending order.\nAnswer: 23, 0, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d - 32481 = -3*j, 5*j - 13899 = d + 40220. What is the units digit of j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 1, g: 1, r: 1, v: 2, b: 1, l: 1}. What is prob of sequence gv?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 10422771539 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -217 + 43 - 18 - 12*a - 135.\nAnswer: -12*a - 327","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 432889, 865811, 1298733, 1731655, 2164577?\nAnswer: 2597499","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 68 + (-52 - (10 - 35))?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o\/o**0)**0)**(-28) assuming o is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 267.9159 litres in millilitres?\nAnswer: 267915.9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10725 is divided by 772.\nAnswer: 689","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5 + 0 + -7)*6\/48.\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*g**2 + 160*g - 155 = 0. What is g?\nAnswer: 1, 31","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -94829*5272.\nAnswer: -499938488","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -45 - (-6 - -3) - (12 + -14 + -5 + -1).\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 84\/5 + -17. Let z = 0.118 + -0.018. What is the second biggest value in x, z, 3?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1521\/11115)\/((-2496)\/(-1280)).\nAnswer: 4\/57","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -168*n + 2970 = 450. Solve 64*p = -n*p - 79 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -1824, -1830, -1846, -1878, -1932, -2014?\n\"Answer: -a**3 + a**2 - 2*a - 1822","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -251750 or -251751?\nAnswer: -251751","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 9558687 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w and 1 x when two letters picked without replacement from xwy?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((2 - 1 + 1)*(0*p - 2*p**2 + 0*p) + 99*p**2 + 99*p**2 - 71*p**2)*(0*p**3 - 2*p**3 - p**3).\nAnswer: -369*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*k = 2*s + 4*k - 77, 0 = s - k - 31. Suppose -3*a + s - 7 = 4*n, 0 = 5*n - 5*a - 15. Solve -6*v + n = -2*v for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*sqrt(117) + (sqrt(91)\/sqrt(63))**2 - (-3*sqrt(65)*2)\/(2*sqrt(10)\/sqrt(2)).\nAnswer: 13\/9 + 21*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4329613.\nAnswer: 29, 149297","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 112799.\nAnswer: 112799","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1 + 4. Find the third derivative of h**2 - 4*h**2 - h**s + 7*h**2 wrt h.\nAnswer: -60*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = 14*p + 612. Let i be t(-43). Solve 4*n - i = -3*m - 23, 9 = -3*n - 2*m for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 less than -6\/1147?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**3\/m)\/m)**(-5\/3)\/(m**0\/m)**(-4\/25) assuming m is positive.\nAnswer: m**(-137\/75)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 1a0247 (base 11) in base 12?\nAnswer: 12a122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 35 and 10.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*y - 25 = 4*j - 36, 0 = -j + 2*y - 11 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 206080898 to the power of 1\/2, to the nearest integer?\nAnswer: 14356","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -66.42307 rounded to two decimal places?\nAnswer: -66.42","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -8*o + o - 4*o + (1 - 3 + 3)*(5*o + o - 4*o) + (-53*o - 35*o + 25*o)*(4 - 1 + 4) to d*o + i and give d.\nAnswer: -450","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b\/(b\/(b*b**(-3))))\/b**(-9))**(33\/5) assuming b is positive.\nAnswer: b**(231\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 75*k*w**3 + 99*k*w**2 + 5*k*w + 2*k + 4484677*w**3 wrt k?\nAnswer: 75*w**3 + 99*w**2 + 5*w + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -y**3 - 4*y**2 - 12*y - 35. Is 50 a factor of n(-5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*c = 6*c. Let j(u) be the first derivative of c*u**2 - 2 - 1\/10*u**4 + 1\/15*u**6 - 2\/15*u**3 + 2\/25*u**5 + 0*u. Factor j(g).\nAnswer: 2*g**2*(g - 1)*(g + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -2 - 9 - 20 - 4*u. Let g be w(-17). Let v = g + -17. What is the highest common factor of 4 and v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*b = b + m - 37, 5*b - 3*m + 474 = 293 for b.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -20968 (base 14) in base 16?\nAnswer: -13360","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -32.329 - -32.329058835. Round h to seven dps.\nAnswer: 0.0000588","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 151842?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ffza when four letters picked without replacement from {f: 2, b: 4, a: 2, z: 1}?\nAnswer: 1\/756","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 158*n + 20 = 162*n. Find the third derivative of 16 - 31346*o**2 + 18 + 31348*o**2 + 2*o**n + 23*o**4 wrt o.\nAnswer: 120*o**2 + 552*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = k**3 - 7*k**2 + 3*k + 4. What is the tens digit of r(7)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 9*c**3 + 150*c**2 - 57*c - 102 = 0. Calculate c.\nAnswer: -17, -2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = 6*u**3 - 5*u**2 + 2*u + 1. Let q be (-1 - (-6)\/4) + 74\/(-4). Let c be (-50)\/(-18) - (-4 - 68\/q). What is the hundreds digit of h(c)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = 5*l. Let n(i) = 11*i. Suppose 3*o + 5*h - 2 = 0, -4*h + 10 = -6. Let q(y) = o*n(y) + 11*a(y). Let s(k) = 2*k. Determine q(s(t)).\nAnswer: -22*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 246110130?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -5, 219657, 5.\nAnswer: -5, -3, 5, 219657","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -f**2 - 1. Let t be i(0). Let k(u) = 7*u**2 - u - 1. Is 6 a factor of k(t)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 54436.\nAnswer: 2, 31, 439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) be the third derivative of b**2 + 1\/168*b**8 - 1\/15*b**5 + 0*b - 4\/105*b**7 + 0*b**3 + 0 + 0*b**4 + 1\/12*b**6. Let s(x) = 0. Calculate x.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (a**2 + 0*a**2 + 3*a**2)*(-2*a + 2*a - a)*(2*a - 13*a - 16*a) as c + j*a**2 + q*a + d*a**3 + p*a**4 and give p.\nAnswer: 108","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*j + 202 = 34*a, 4*a - 3*j - 2*j - 4 - 17 = 8 for a.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-2 - 1)\/(0 - -1) + 5. Solve 0 = 5*c - q*c - 6 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 50, -4, -1, -25.\nAnswer: -25, -4, -1, 50","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is one tenth of a centimeter in micrometers?\nAnswer: 1000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -28b061 - -42?\nAnswer: -28b01b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 19419297837 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j + s - 1 = 0, 0*s - 5*s = 3*j - 1. Let k be (3 + -3)\/j - (-217 - 3). Let l = -14 - -34. Calculate the greatest common factor of k and l.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w\/(w\/(w**(-27)\/w)))\/(w**(2\/19)*w))**(-3\/11) assuming w is positive.\nAnswer: w**(1659\/209)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r = 5*r + 2. Let b be ((-9)\/r)\/(5\/60). Calculate the greatest common factor of 54 and b.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (10\/(-12))\/(1\/(-6)). Let j(l) = -l**2 + 7*l - 6. Let r be j(i). What is the biggest value in -3, 1, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-12)\/(-4 - 10\/(-4)). Let j = f + -6. Let b(k) = 2*k**3 + 3*k**2 - 2*k - 1. Is b(j) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (2 + 255\/(-125))\/((-430)\/(-3225))\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -282281 divided by -12?\nAnswer: 282281\/12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-15*u - 10*u + 33*u)*(2 + 1 - 5).\nAnswer: -16*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 != -80\/1052317?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100011111100100110011 - -1010?\nAnswer: 100011111100100111101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-30)\/(-50))\/((-2)\/5).\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7578 + p - 21*p**3 - p.\nAnswer: -21*p**3 + 7578","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.2 and -0.411702.\nAnswer: -0.211702","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((g*g**(1\/6)*g*g)\/g)\/g*g**3*(g*g**(-2\/5))\/(((g**4*g)\/g*g)\/g*g))**(-1\/37))**(-16\/11) assuming g is positive.\nAnswer: g**(-56\/6105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -5? (a) -0.4 (b) -0.01 (c) -4 (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -55*h - 1216 = -74*h - 57*h. Solve 0 = h*g - 14*g + 5*s - 23, -5*g = -3*s - 11 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r - 2 = 16. Let v(g) = -7*g**2 - 9*g - 2. Let o(s) = -4*s**2 - 5*s - 1. What is r*v(t) + 11*o(t)?\nAnswer: -2*t**2 - t + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2 - 57\/(-12)) + -3?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 191\/142230 and 61\/21?\nAnswer: 995610","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -50 + (147 - (121 + -37)).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ueu when three letters picked without replacement from {e: 7, u: 4, f: 2}.\nAnswer: 7\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 553167 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -c + 2. Let j be l(0). Let n be (-3 - -2)\/(j\/(-8)). Let v(o) = -13*o**2 - 4*o + 28*o**2 + 2 - 5*o**2 - 9*o**2. Determine v(n).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s - 683 = -c, -2*c + 5*s = -s - 1366. What is the tens digit of c?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = i**2 - 10*i + 5. Calculate t(10).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-14 + 14 + 2*b**2 + (-2*b + 4*b - 3*b)*(-2*b - b - b))*(0*b + 2*b - 4*b).\nAnswer: -12*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = 0*c**2 + 2*c**2 + 2*c**2. Let s(h) be the first derivative of -2*h**3\/3 - 14. Give s(z(a)).\nAnswer: -32*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*b + 13*l - 69 = 0, -119*l + 117*l + 15 = -5*b for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 14 - 9. Let r be 2\/3*-3 - 0. Let z be (3\/(-45))\/(8\/20). What is the third smallest value in -1\/3, r, i, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 238 + -233. Solve w + 3*z = -7 - 12, -5*w + 5*z + q = 0 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 37768 = -5*h + k + 37755, 4*h - 22 = -10*k for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 78742813*k**3 + 2*k**2 - 14*k - 39610 wrt k.\nAnswer: 472456878","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is ba71 + -3?\nAnswer: ba6c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*y - 2*i + 4, -5*i = 3*y - 19 + 9 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = z + 45*z - 3*z + 92*z. Let l(v) = -10*v. What is j(l(r))?\nAnswer: -1350*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 143 + -55. What is the units digit of o?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = 2*x**2. Let t = 153 + -151. Let a(d) be the second derivative of 0 + 0*d**t + d - 1\/2*d**3. Determine y(a(j)).\nAnswer: 18*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -14*x**2 - 775*x - 969. Give z(-55).\nAnswer: -694","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 344359947?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/8, 162, -0.3 in decreasing order.\nAnswer: 162, -0.3, -3\/8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3357 - -3368. Let z(c) = -c**2 + 13*c - 13. Give z(v).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = k - 5. Let s be v(2). Let c be (-9)\/3 + -40 + s. Let u = -39 - c. Let x(h) = h**3 - 8*h**2 + 7*h - 4. Calculate x(u).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -f**2 - 15*f - 11. Determine n(-10).\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4360*c + 2*c**3 - 4369*c - c**3 - 1 to the form x + z*c + s*c**2 + w*c**3 and give w.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = n**3 - 5*n**2 + 137*n + 489. Determine t(-3).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5017?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + (2 - 0 - 12).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-6)\/3)\/((-2)\/(-7162)). Let c(k) = 3*k**3 + 13*k**2 - 17*k + 11. Let t be c(-13). Let b = g - t. What is b rounded to the nearest ten thousand?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-17 + 17*k**2 + 0*k**2 - 14*k**2)*(-2*k + k**3 + 2*k).\nAnswer: 3*k**5 - 17*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2676.2343016 - 2705.2343. Let u = 29 + f. What is u rounded to seven decimal places?\nAnswer: 0.0000016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 638 divide 1375388?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Add 8135841 and 10103997.\nAnswer: 18239838","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(sqrt(33)\/sqrt(3) + 5) - (1 + sqrt(396) + -1 + sqrt(396)))*1.\nAnswer: -15*sqrt(11) - 15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 38 - 55. Let q = c - -17.5. What is the biggest value in -4, q, -2?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 427.961 - 0.761. Let c = -427 + g. Sort c, -2\/5, -0.3, 24 in ascending order.\nAnswer: -2\/5, -0.3, c, 24","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-62)\/(-12803))\/((-1)\/(-7)). What is the third biggest value in g, 4, -2\/11?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 131015 (base 6) to base 12.\nAnswer: 6a6b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1218756066?\nAnswer: 2, 3, 11, 18466001","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 200997*w - 200995*w + 6 = o + 2, 706 = 2*w + 70*o for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 72 - 72. Suppose -r - 7*r = z. Solve 3*p - 6*p = r for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 405 minutes after 11:28 PM?\nAnswer: 6:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 16 (base 7) to base 9.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = 4 - 2*i - 3*i - i**2 + 11*i. Let x be m(5). Suppose 3*y + 399 = 5*g, -g = 2*g + 2*y - 247. Calculate the highest common factor of g and x.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*sqrt(210)\/sqrt(10))\/(((sqrt(12) - (sqrt(12)*-5 + sqrt(12) - sqrt(12))) + sqrt(12))\/sqrt(4))*-1.\nAnswer: -6*sqrt(7)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 - 7 - (6 - 14).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27*p + 309 = 1254. Suppose 58*d = p*d + 23736. Is d a multiple of 86?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1924*g**2*w - 2*g*w - 3*w + 339 wrt g?\nAnswer: 3848*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -723419 divided by 23?\nAnswer: -31453","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 26061287.\nAnswer: 7, 531863","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -19866 + 19840.673. Let z = -25.2 - s. Round z to 2 dps.\nAnswer: 0.13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -9? (a) -0.3 (b) -1 (c) -2\/9 (d) -1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16088*m + 2353 = -15826*m - 5507 for m.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((n**(3\/10)\/n)\/n)\/n)\/n**(-7)*n**(-3)*n\/n**(-4))**(-10\/7))**(2\/27) assuming n is positive.\nAnswer: n**(-2\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = d**3 + 15*d**2 - d - 10. Let o = 31 - 46. Let s be t(o). Determine q so that 2 + q**s - 2*q**2 - 3*q**3 + 9*q - q**3 - 6*q + 0*q**2 = 0.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-3 + 6 - -3) + -4. Suppose -2*l + 7*l = -p*b, 4*l = -8. What is the remainder when 1 + 19 + (1 - 2) is divided by b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*j + 296 + 120. Let r = -4 - -6. Suppose j = -r*a + 4*a. Calculate the remainder when 51 is divided by a.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (10 + y - 7*y - 8)*(-35*y + 34 - 34).\nAnswer: 210*y**2 - 70*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 10 + -11. Let z(l) = -26*l - 1. Let s be z(x). What is s rounded to the nearest 10?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = 89*b + 253. Give z(-3).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 184669 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1844 - -1828) + -2 + 0 + 62 + 16.\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 4315 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2213262 and 246.\nAnswer: 2213262","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 45084377?\nAnswer: 13, 3468029","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*t - 2*i = -16 + 7, -2*t + 2*i = 4 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4)\/10)\/(((-1)\/(-150))\/((-386)\/1158)).\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3280374?\nAnswer: 2, 3, 182243","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 12475 - 4132. What are the prime factors of t?\nAnswer: 3, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 377027, 754064, 1131101, 1508138?\n\"Answer: 377037*n - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(1\/10)\/m*m*m\/m**(-8)*m*m)**22 assuming m is positive.\nAnswer: m**(1221\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y = -x + 26, 7 + 9 = -4*x. List the prime factors of (-2)\/5 + 81\/y.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = 3*c**2 - 28*c - 51. Let h be d(13). Calculate the greatest common factor of 874 and h.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hvq when three letters picked without replacement from bhhbbvqhhb?\nAnswer: 1\/180","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 6395\/4724 or 0?\nAnswer: 6395\/4724","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 324 - 329 - (1 + -3 - -5 - -1).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 305 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 239.92 - -15.08. Which is bigger: j or 1?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*t**3 + 0*t**3 - 5*t**3 + (-3*t**2 + t**2 + 0*t**2)*(1 - 1 - 2*t) + 18*t**3 - t**3 + 10*t**3 - 2*t.\nAnswer: 29*t**3 - 2*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (327 + 85*o + 125*o - 231*o)*(-2*o - o + 5*o).\nAnswer: -42*o**2 + 654*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1056 and 15624?\nAnswer: 687456","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 510 divide 294780?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 63079595?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1457, -1458, -1461, -1466, -1473?\nAnswer: -1482","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r - 3*r - 248 = 0. Suppose 935 - 119 + 496 = 164*q. Suppose q*x - 16 - r = 0. What is the units digit of x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -34 - -60. What are the prime factors of m?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2.4? (a) 0.4 (b) -6 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) be the first derivative of p**4\/2 - 2*p**3\/3 - p**2\/2 - p + 1. Let y be k(2). Suppose 3*z - 6 = 3. Solve 2 = -y*t - z for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + 2 + sqrt(17) + ((-1*sqrt(34))\/sqrt(2))**2.\nAnswer: sqrt(17) + 20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -22\/203 - -28\/29. Let o = -9\/14 - t. Which is greater: -1 or o?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/a**(-5))**(-1\/18)\/(a**(-4\/7))**28 assuming a is positive.\nAnswer: a**(47\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.084 + 94.916. Let r = -89 + c. Let m = -0.06 + -0.14. Put r, m, -2 in descending order.\nAnswer: r, m, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 15 + -11 + (-2 + 17 - (-35 - -45))\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:37 PM and 1:26 AM?\nAnswer: 289","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u + 2*x + 225 = 746, -4*u - 2*x = -416. Let g = u + -105. Solve k - 5*s + 7 = 0, -2*k + 4*s = -g + 2 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o - 29 = 19. Suppose 18*c - 58 = -19*r + 21*r, -3*r - 3*c + 63 = 0. Calculate the greatest common factor of r and o.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 4077 + -12230\/3. Which is the third smallest value? (a) i (b) 0 (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (35*m**2 + 2*m**3 - 35*m**2 + (-4*m**2 + m**2 + 0*m**2)*(2*m - m - 2*m))*(4 - 1 + 0 + 1 + 2 - 4 + (2 - 1 + 1)*(-4 + 5 - 3)).\nAnswer: -10*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*a - 12*a = 381. Let f = a + -232. Suppose -4*k + f + 71 = 0. Is 18 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 11534 + -5119. What are the prime factors of h?\nAnswer: 5, 1283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1101000010100000011111 (base 2) in base 15?\nAnswer: 477bb3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*d - 4*d - 75 - 2*d - 34 as q + l*d and give q.\nAnswer: -109","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 12745?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 405*h**4 + 48*h**3 - 69*h - 31113799 wrt h?\nAnswer: 1620*h**3 + 144*h**2 - 69","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of l**3*w**2 - 3*l**3 - 2995*l**2 - w**2 - 13101*w + 1 wrt l?\nAnswer: 3*l**2*w**2 - 9*l**2 - 5990*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 i when four letters picked without replacement from {i: 19, m: 1}?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -188*u - 139*u = 2802 + 6354 for u.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -44255658*l**3*x**2 - 253245*l**2*x - 72*x**2 wrt l?\nAnswer: -265533948*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-707)\/4343*(-90)\/210.\nAnswer: 3\/43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -142 = -2*s - 52. Let o = -25 + s. Calculate the least common multiple of 10 and 15\/o + (-82)\/(-8).\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1174 divided by 153415.\nAnswer: 1174\/153415","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 m and 1 h when three letters picked without replacement from {h: 4, e: 5, m: 7}.\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pq when two letters picked without replacement from jqqpqjmrqq?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y + 19 = -5*y + 7. Which is the biggest value? (a) 3\/26 (b) y (c) 3\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 18531980 to the nearest 1000000.\nAnswer: 19000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from sybbydddydsdsydyb. What is prob of sequence bbsb?\nAnswer: 3\/9520","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*y = -12, 4*l + 4*y + 20 = 52 for l.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 37187.\nAnswer: 41, 907","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 651940*v + 234674*v - 93111*v + 654677*v.\nAnswer: 1448180*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = 9*t**2 - 5*t - 10. Let b(j) = 2*j**2 - 2*j + 19. Let m(w) = -7*w**2 + 9*w - 119. Let q(s) = 6*b(s) + m(s). What is 6*f(o) - 11*q(o)?\nAnswer: -o**2 + 3*o - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 123472, 123414, 123358, 123304, 123252?\nAnswer: 123202","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -8*q**4 + 11*q**3 + 2*q + 6*q**4 + 5 - 14*q**3 as u + l*q**4 + w*q + x*q**3 + g*q**2 and give x.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 503 minutes before 8:47 AM?\nAnswer: 12:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -497 in -1\/20, 233, 1?\nAnswer: -1\/20","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.446 - -0.146. Let f = -6 + 6.5. Which is the third biggest value? (a) -1\/2 (b) r (c) f (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/7 in 156, -3, 0, 0.5, -11?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -11323583, -22647168, -33970753, -45294338?\nAnswer: -56617923","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (k**2 - k**2 + 5*k**2 + k**3)*((-5 + 1 + 3)*(-k**2 + 4*k**2 - k**2) + k**2 + 2*k**2 + 0*k**2)*(561 + 206 - 177).\nAnswer: 590*k**5 + 2950*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = 78*y**2. Let f(w) = -8798388*w. Give o(f(b)).\nAnswer: 6038107249086432*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -2*o**3 + 63*o**2 - 490*o - 54. Calculate z(16).\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 divided by 21170?\nAnswer: 1\/10585","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -17*p**2 + 86*p - 9. Let g(m) = 8*m**2 - 42*m + 4. Give -13*g(k) - 6*j(k).\nAnswer: -2*k**2 + 30*k + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/32 of a millimeter in nanometers?\nAnswer: 93750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(((3*sqrt(180)\/sqrt(3))\/((sqrt(144)*-2)\/sqrt(12)))**2 + (0 + sqrt(125) - (3 + sqrt(30)\/sqrt(6)))**2).\nAnswer: -401\/4 + 24*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -970 (base 16) in base 15?\nAnswer: -ab1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -5, -52, 2 in decreasing order.\nAnswer: 5, 2, -5, -52","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express (-13*n**2 + 5 - 4 - 69*n**2)*(3*n**2 + 2*n**2 - 3*n**2) in the form o*n + l*n**4 + y + d*n**3 + k*n**2 and give k.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 - 5\/3*l**2 - 5005\/3*l.\nAnswer: -5*l*(l + 1001)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -c**3 + 11*c**2 + 107*c - 949. What is n(8)?\nAnswer: 99","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 4657 divide 1371686751?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 + 3194*c**3 - 36*c**4 - 2*c**2 + c**4 - 6*c**4 - 3193*c**3 as x + h*c + g*c**4 + p*c**3 + a*c**2 and give g.\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h - 2*t - 60 = -6*t, -t - 147 = -4*h. Let y = -69 - -72. What is the units digit of (4\/8)\/(y\/h)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = 4*o - 9. Let z be k(7). Calculate the highest common factor of 76 and z.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o - 4*o + 25 = 0. Suppose g - d - 42 = -g, 0 = -2*g - o*d + 18. What are the prime factors of g?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3 - -1. Let j = 1534 - 1544. Put 1, i, j, -1 in decreasing order.\nAnswer: i, 1, -1, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 812?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -9 - -13. Suppose h = -5*n + 916, -5*n + i*h + 444 = -467. What are the prime factors of n?\nAnswer: 3, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1574 = -3*n - 1541 for n.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-4)\/(2 + -4 + 3). Let k be 7 + (-5)\/((-10)\/s). Factor 8*i + 1 + 4*i**2 - 4*i**3 + 0 - 6*i**4 + 1 - 2*i**k - 2*i.\nAnswer: -2*(i - 1)*(i + 1)**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l**3\/5 + 2846*l**2\/5 + 10004*l\/5 + 858 = 0. What is l?\nAnswer: -3, -1\/2, 715","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -3 - -345?\nAnswer: 342","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3 - -9 - 2) + 48 + -52.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 24324 (base 5) to base 16.\nAnswer: 72f","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -32\/5 and -79\/162674.\nAnswer: 813370","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -u**3 + 3*u**2 + u. Let j(z) = -18*z**3 + z**2 - z + 4. Let r be j(-2). Suppose 18*b + 4*b = r. Calculate the lowest common multiple of b and t(3).\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0494287392 to two dps.\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 8958?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.4 * 17103.\nAnswer: 6841.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3141973396 + -0.2.\nAnswer: -3141973396.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -0.2 * 3657\nAnswer: -731.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) be the first derivative of a**6\/120 - 7*a**5\/60 + a**4\/6 - 5*a**3\/6 + 3*a**2 - 18. Let s(i) be the second derivative of f(i). Is s(7) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 3\/10 of a minute?\nAnswer: 18","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) be the third derivative of -16*f**2 + 0*f**4 - 1\/15*f**5 + 0 + 0*f + 8\/3*f**3. Factor l(g).\nAnswer: -4*(g - 2)*(g + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of x**5 - 26076*x**4 - 815*x + 201 wrt x?\nAnswer: 20*x**3 - 312912*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*y - 21*y + 459 = -1386. Let v be 0 + 1*-1 + 288. Calculate the greatest common factor of y and v.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 122323?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6)\/(-1674)*((-8970)\/260 - -33).\nAnswer: -1\/186","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 97590*x**2 - 173677 wrt x?\nAnswer: 195180*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve g - 11 = -1776*h + 1779*h, -2*h + 2*g = 14 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -112*j + 464. Determine s(-7).\nAnswer: 1248","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -34*o**2 - 38*o**2 + 68*o**2 - 2*o + (3*o**2 + 13*o**2 - 9*o**2)*(1 + 1 - 4).\nAnswer: -18*o**2 - 2*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = l**2 + 243*l + 1716. Let a(z) = -3*z + 3. Let n(d) = 26*a(d) + 2*s(d). Factor n(o).\nAnswer: 2*(o + 9)*(o + 195)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = -2*y + 12. Which is the smallest value? (a) y (b) -1.1 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + 17*m = 12*m - 10, 4*s - 22 = -2*m. Let f be 87 - 20\/s - 7. Calculate the greatest common factor of f and 304.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -552, -546, -530, -498, -444?\nAnswer: -362","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (15*s + 13 - 27*s + 10*s)*(2*s - 3*s + 2*s).\nAnswer: -2*s**2 + 13*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 1043504*b**3 + 8*b**2 - 22906777 wrt b?\nAnswer: 3130512*b**2 + 16*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 394176 is divided by 10945.\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16*y + 28*y - 7*y - 12*y.\nAnswer: -7*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.37 * -543.\nAnswer: -200.91","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1442204316*u**2 + 10*u**3 + 1442204316*u**2.\nAnswer: 10*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0\/16)\/4*1\/(-2).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -6.7 rounded to zero decimal places?\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 290*j - 185466*j**2 + 185466*j**2 - 2 + 0 + 31*j**3 wrt j.\nAnswer: 186*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 3*z + 12 = 0, -x + 0 = 3*z + 6. Let h = 8 + -2. What is the units digit of x*h\/9 - -2?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 168 is divided by 28?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -24, -141, 3\/7.\nAnswer: -141, -24, 3\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 63129 divided by 173\nAnswer: 63129\/173","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -162*v + 17*v + 85*v - 540 for v.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -780 + 927. Calculate the highest common factor of d and 21.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + (10 - (-2 + 7)) - -3 - 17.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1702874881.\nAnswer: 67, 487, 52189","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yppp when four letters picked without replacement from ypypppypppp?\nAnswer: 7\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -4367 + 5418.7. What is y rounded to the nearest one hundred?\nAnswer: 1100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 34542865 divided by 34?\nAnswer: 34542865\/34","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 21767 is divided by 76?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-6)\/(-20)*((-340)\/24 + 10). What is the third biggest value in 10, 4, -0.1, j?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*4*(sqrt(52) + -1 + 0 + sqrt(52) + (sqrt(1300) + 1 - sqrt(1300))) + 1.\nAnswer: 1 + 80*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 11957 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) be the second derivative of -5*r**4\/12 + 2*r**2 - 2*r. Let n(g) = -5*g - 14*g**2 + 5*g + 11. Calculate 11*d(h) - 4*n(h).\nAnswer: h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 24 - 17. Let r(k) = k + y*k**2 - 2 - 3*k**3 + k**3 + 2*k**3 + k**3. Give r(-7).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2 + -4. Let h = -578 + 1033\/2. Let w = h + 60. Which is the third biggest value? (a) y (b) 2 (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -125 - -67. Let q = o - -57.99999999. Round q to seven decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 211?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 647199 and 6656904?\nAnswer: 46598328","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 35*c**3 + 42*c**3 - 76*c**3.\nAnswer: c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = 959*q - 63656. Give l(68).\nAnswer: 1556","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*o - 550 = 318. Let a = o + 126. Solve -a*f = -0 + 2 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 70 = h - 0*h. Let a = h - -140. Suppose -430 = -4*t - 4*g + a, -3 = g. Is t composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) be the second derivative of 4691*a**5\/10 - 4*a**4\/3 + 11*a**3\/6 + 21*a**2\/2 + 2*a - 289. Find the third derivative of p(j) wrt j.\nAnswer: 56292","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14044 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: Let g = -31 + 26. Let n = -5 - g. Which is the biggest value? (a) 4\/7 (b) n (c) 2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = 332*g - 3*g**2 - 657*g - g**2 - 5 - g**2 + 6*g**2 + 328*g. Let y = 3 + 0. Let q(d) = -2*d**2 - 8*d + 14. Determine y*q(i) + 8*z(i).\nAnswer: 2*i**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*q + 11249*a - 113 = 11247*a, -5*q = 3*a - 277 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -15*h + 34. Let m(z) = 22*z - 51. Let b be (-8)\/64 - (-2)\/((-32)\/(-82)). Let r(a) = b*m(a) + 7*s(a). Let u be r(5). Solve -7*d - 5 = -u*d for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.18191784 to two dps.\nAnswer: 0.18","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -86 - -59. Let k = -304 + 289. Let d = k - t. What is the units digit of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-2)*h**(1\/4))**(-6\/11)*(h*h\/(h\/(h\/h**(1\/5))))\/((h\/h**(2\/19))\/h*h*h)*(h\/(h\/((h**1*h)\/h)))\/(h\/(h*h*h**4*h)) assuming h is positive.\nAnswer: h**(16427\/2090)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or 5\/3016031?\nAnswer: 5\/3016031","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -q**3 + 8*q**2 + 10*q - 4. Let l be t(9). Let x be (1\/l)\/(25\/155). Let z = -1\/25 + x. Calculate the common denominator of z and 37\/3.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 195 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 1661276 to the power of 1\/2, to the nearest integer?\nAnswer: 1289","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kmrk when four letters picked without replacement from {b: 3, m: 1, p: 1, k: 1, r: 1}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -p**3 - 22*p**2 + 48*p + 9. Determine r(-24).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y - 465 = -5*t, -4*t + 63 = 3*y - 281. Is t a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -2*1\/((-4)\/(-4)). Let c = 5 - h. Let m(p) = -p**3 + 8*p**2 - 8*p + 10. Determine m(c).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = 2*l**2 - 6*l - 45. Give q(6).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*a**2 + a**2 + 3*a**2 - 3*a**2.\nAnswer: 3*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 2, u: 3, i: 12}. What is prob of picking 3 u and 1 i?\nAnswer: 3\/595","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*k - 57 = 11*k. Let p be k\/(-76) - (-118)\/8. Is p smaller than 16?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.404, 3\/4, 0.5 in descending order.\nAnswer: 3\/4, 0.5, 0.404","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = 0*s**2 - 6*s + 0*s**2 + 2 - 5*s**2. Suppose -109*l + 164*l + 1901 = 1571. Let d(t) = -4*t**2 - 6*t + 2. Determine l*d(c) + 5*r(c).\nAnswer: -c**2 + 6*c - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:36 PM and 2:22 AM?\nAnswer: 706","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor r**5 + 16088*r**4 + 128656*r**3 + 257280*r**2.\nAnswer: r**2*(r + 4)**2*(r + 16080)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -24301, -24304, -24307, -24310?\nAnswer: -24313","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = s**3 - 4*s**2 - 6*s + 5. Let y be 44\/10 + 9\/15. Let z be b(y). Solve -5 + z = p for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = 2*q - 16. Give s(14).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -13*i - 14 - 9 + 35*i - 20*i. Calculate h(0).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -7*g + 3. Let n be d(-2). Suppose -2*p = 25 - n. Sort p, 8, 1 in decreasing order.\nAnswer: 8, 1, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u**2 + 616317*u = 0. What is u?\nAnswer: -205439, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -4*y**2 - 3. Let b(g) = 3*g**2 + 2. Let w = 1 - -5. Determine w*b(s) + 4*z(s).\nAnswer: 2*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -258 divided by 43.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 70122, 140306, 210542, 280830, 351170, 421562?\nAnswer: 492006","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -m**3 + 28*m**2 + 52. Let d be h(28). Suppose -d*t + 57*t = 9715. Is t a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x - 5*g - 35 = 0, 16 = 5*x + 5*g + 1. Calculate the remainder when 27 is divided by x.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10782*n + 14093*n - 7889*n.\nAnswer: -4578*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3083, 12380, 27873, 49562, 77447, 111528?\nAnswer: 151805","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1\/2 (b) -3\/91 (c) -60 (d) -4105\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -68*s**2 + 180*s + 79. Determine v(3).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = 7*o - 13. What is the tens digit of q(10)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 0 + -3280534?\nAnswer: -3280534","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*p**3 + 2*p**3 + 46*p**2 + 0*p**3.\nAnswer: -3*p**3 + 46*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 68115.56 litres to millilitres.\nAnswer: 68115560","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (14 - 25) + (46 - (6 + 9 + -3)).\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -5777*i. Let m(o) = 99*o**2 + o. Determine m(s(g)).\nAnswer: 3303999171*g**2 - 5777*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) be the second derivative of 3*z**4\/4 + 16*z**3\/3 - 2*z**2 - 79*z. Let m be g(-4). Solve -d - 19 + 5 = -4*a, -2*d + 4*a = m for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2137 is divided by 23.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -39, -21, -5, 9, 21?\n\"Answer: -v**2 + 21*v - 59","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 10301, 18573, 26835, 35081, 43305, 51501, 59663?\n\"Answer: -f**3 + f**2 + 8276*f + 2025","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1011 (base 3) to base 12.\nAnswer: -27","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*j + 4*g + 8, -2*g - 50 + 26 = 4*j for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 5 - 6083?\nAnswer: -6077","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -6*l - 77. Give w(-13).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 77245 and 560?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 84193 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = 1248*j + 34*j**2 + 1216*j - 2464*j. Let p(x) = -7*x + 7*x + 10*x. Give t(p(a)).\nAnswer: 3400*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-3)\/(-3))\/((42\/(-9))\/2).\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-4)\/24 - 57\/(-18). Suppose x*g - 9 = 39. Is 8 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(56)\/(4*sqrt(392)) + (sqrt(14)\/(2*sqrt(98) - sqrt(2)))**2.\nAnswer: 7\/169 + sqrt(7)\/28","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((g*(g**18*g)\/g)\/(g**(-2\/49)\/g))**(-14))**(-20) assuming g is positive.\nAnswer: g**(39280\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 5*(-3)\/9*-3. Let r(b) = -m - 2*b + 0*b + 3*b. Let q be 306\/62 + 78\/1209. What is r(q)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 278442942 is divided by 661.\nAnswer: 658","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 78*n*q**2 - 2*n*q + 16162*n + 610*q**2 + 168*q - 5553 with respect to q.\nAnswer: 156*n*q - 2*n + 1220*q + 168","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 8 and 12072470.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 134*h = 130*h - 16 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*p = 9*p. Suppose p = s - 8 - 19. Calculate the remainder when s is divided by 7.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15792 is divided by 15781.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express 6 - 4*f**2 + 3*f**3 - 7*f**3 + 2*f**3 - 4 as g + y*f**3 + u*f**2 + r*f and give g.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is -160*2*(-3)\/12 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + -6 + (7 - -2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(3) - sqrt(18)\/sqrt(24))*-5)**2 + -1 + 0.\nAnswer: 71\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 0.078, -5, -0.2, 0.4, 16 in ascending order.\nAnswer: -5, -1, -0.2, 0.078, 0.4, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 97 minutes after 4:16 AM?\nAnswer: 5:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 100 is divided by 81?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4 - (-6 - (-23 - -6))) + 9?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + -7 + -1 - (6 + -52 - -59)?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -10+-554135\nAnswer: -554145","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -12*p + 190. What are the prime factors of k(0)?\nAnswer: 2, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from arxjxwxrwwxrqrxarqax. What is prob of sequence qq?\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -104*p + 571. What is z(4)?\nAnswer: 155","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -159 + 195. Suppose -5*d - 4*q - 15 = -6*d, r = d + 3*q. What is the highest common factor of d and 189?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 902 + -901.571. Let c = 0.49 - b. What is c rounded to two dps?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 10, i: 2}. Give prob of picking 1 i and 3 w.\nAnswer: 16\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 8, 0.03, 2\/5?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 e when two letters picked without replacement from {g: 2, e: 17}?\nAnswer: 136\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 39915 + -39918. Let p(b) = -4*b - 8 + b + 5 - b**3 - 3*b**2. What is p(y)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.20093843 to one decimal place.\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = 13*t**2 + 13*t - 16. Is w(-12) a multiple of 84?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -155 times -5\nAnswer: 775","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.13944 rounded to 2 dps?\nAnswer: -0.14","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) be the third derivative of w**6\/120 - 27*w**5\/20 + 979*w**2. Factor a(o).\nAnswer: o**2*(o - 81)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*i - 19498268 = 48751732. Round i to the nearest 1000000.\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 253.2489 weeks to nanoseconds.\nAnswer: 153164934720000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (14 - -5) + -21 + 3 + 6 + (10 - 1).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = 8*v**2. Let f(x) be the first derivative of -x**5\/12 + 5*x**2 - 2*x + 54. Let r(a) be the second derivative of f(a). What is r(p(t))?\nAnswer: -320*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.5, -0.4, -2, 0.04 in decreasing order.\nAnswer: 0.04, -0.4, -0.5, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/7? (a) -3 (b) -2 (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + l = -184, -3*l + 7*l = -5*m + 284. Let o be 4\/(0 + 4) - -89. Calculate the greatest common factor of o and m.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -1143*v - 1199*v - 72602 for v.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 193 + -115. Suppose -4*u = 253 + 179. Find the common denominator of (1 + -2)\/(u\/p) and -47\/22.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1528003 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g + 21*x = 23*x + 224, 0 = g + 5*x - 78. What is the remainder when 343 is divided by g?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 3\/5, -0.2, -3\/7 in decreasing order.\nAnswer: 3\/5, -0.2, -3\/7, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1461*-2*(7 - 5)\/(-4)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = y - 1. Let k(o) = -16*o + 20. Let i be (-12)\/8*6\/(-9). Give i*k(z) + 20*h(z).\nAnswer: 4*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find d such that -5*d**3\/2 + 374795*d**2\/2 - 6992919175*d\/2 - 1149825407615\/2 = 0.\nAnswer: -163, 37561","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.5 (b) -1 (c) -0.01 (d) -3 (e) 177\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = 4*f + 133. What is the remainder when 32 is divided by d(-31)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 3989\/20 or 200?\nAnswer: 200","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 399916*r**2 + 429880*r?\nAnswer: 799832","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*s + 2*j - 616091 = -3*j - 616103, -4*j - 6 = s for s.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -38279, -2, 0 in increasing order.\nAnswer: -38279, -2, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -4*l + 7. Let o(r) = -r - 3*r + 3*r + 2 + 2*r. Let a be o(-3). Let y(k) = k - 1. Let f(b) = a*t(b) - 6*y(b). Determine f(1).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-506)\/(-46))\/(44\/68)?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 4.14197 + -0.14197. Put -1.4, w, -1 in decreasing order.\nAnswer: w, -1, -1.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(sqrt(847) + 1) - (sqrt(847) + sqrt(847)*3*4))**2 + (-6*(sqrt(847) + -1) - (sqrt(847)*1*2)**2) + 5.\nAnswer: -858*sqrt(7) + 65246","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7785 is divided by 34.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -1879008*m. Let t(a) = -5*a. Calculate n(t(y)).\nAnswer: 9395040*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2731*u**3 - 5*u**2 - 2*u + 197902 wrt u?\nAnswer: -8193*u**2 - 10*u - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 220 is divided by 124?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -1266*h + 8862. Let d be j(7). Solve d*r = -44*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 5\/8 of a milligram?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -34*r**2 + 11*r - 17. Let z(s) = 69*s**2 - 25*s + 37. What is -13*y(k) - 6*z(k)?\nAnswer: 28*k**2 + 7*k - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-2)\/(-4))\/(6\/60). Suppose 4 = 3*d + d + 5*m, i*m + 38 = 3*d. Suppose -o - 3*h + 63 = 0, 5*o - 341 = 4*h - d*h. What is the tens digit of o?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3854, -2145, 2396, 11155, 25518, 46871?\nAnswer: 76600","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -6607 + 601229\/91. Calculate the common denominator of f and 4\/((-3080)\/7249) - -11.\nAnswer: 910","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21 = 233*s - 226*s. Suppose 0 = -2*r - 0*r + 4. Calculate the greatest common factor of r and s.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*d**2\/5 + 48*d\/5 = 0. Calculate d.\nAnswer: 0, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (7 + -2)*9\/15. Suppose -2*i + 15 = x*i. Solve -3*u - 4*s - 6 = 0, -3 = -i*s - 12 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 3 - (0 - (3 + 0)). Suppose -1 = -5*c - g, -i + 31 = 2*c. Suppose -3*j = 5*n - i, -4*j = n + 7 - 0. Calculate the remainder when 25 is divided by n.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3355 divided by 5?\nAnswer: 671","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 60\/30 - (-37)\/1. Let t(v) = 73*v - 35*v - b*v. Let p(j) be the second derivative of -17*j**3\/3 + 2*j. Give p(t(l)).\nAnswer: 34*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l - i = -35, -4*i + 8*i = -2*l + 20. Let s(a) = l + a - 3 + 1 - 1. What is s(-5)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one tenth of a microgram in nanograms?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -5.7 + 3.7. What is the nearest to 1 in s, -1\/4, -5?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6226466989 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -225, -229, -237, -249?\nAnswer: -265","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v - 33 = -3. Let s be (9\/v)\/((-6)\/8). Solve 0 = s*d + d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1277 divided by -50455.\nAnswer: 1277\/50455","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = 2*n + 2*n + 14*n**2 - 5*n. Let u be h(-1). Let r = 5 - 3. Solve -5*g - u = -r*g for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b = -23*b - 2*b. Let h(l) = -5*l**3 + 2*l**2 + 5*l + 2. Let q be h(-3). Suppose g + 4*g + 125 = r, -r + 2*g + q = b. What is the hundreds digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2049 and 45?\nAnswer: 30735","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1166843151 - 1166843208.1999697. Let q = -481.8 - -539. Let s = q + a. Round s to six decimal places.\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -482432 + 482592.9732. Let k = 161 - s. Round k to three decimal places.\nAnswer: 0.027","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -402443 < -402428?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = x + 7. Let j be w(-7). Suppose -48 = -5*b - 4*f, -4*b - f - 1 + 35 = j. What is the lowest common multiple of b and -16*1*1\/(-2)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 3, w: 10, i: 1, x: 1}. Give prob of picking 1 x and 2 w.\nAnswer: 9\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -f**2 + 10*f - 2. Calculate the least common multiple of t(8) and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:58 AM and 6:47 PM?\nAnswer: 589","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1313.\nAnswer: 13, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m*m**(-1\/2)*(m\/(m*m*m**(-9\/4)))\/m*(m\/(m\/(m*(m*m**(1\/3)\/m*m*m)\/m*m*m)*m))**(-11\/5) assuming m is positive.\nAnswer: m**(-79\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 265066?\nAnswer: 2, 132533","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 410 minutes after 5:05 PM?\nAnswer: 11:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 40598511.\nAnswer: 3, 13532837","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v = -3*v + 6. Solve -3*s - 6 = 0, -v*s = 4*h - s - 16 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 18447, 18373, 18299, 18225?\n\"Answer: -74*w + 18521","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 304 and 1056.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0, -70, 5, 722?\nAnswer: 722","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 9 and 45?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((s**(-16\/5))**(-44))**(1\/16))**(-18) assuming s is positive.\nAnswer: s**(-792\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.057 - -0.0112. Let o = 0.035 + p. What is o rounded to three decimal places?\nAnswer: -0.011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -55*z**2 - 429*z**2 + 213*z**2 + 61*z**2 - 6*z**2.\nAnswer: -216*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4789367 is divided by 228?\nAnswer: 227","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p = 6, -4*d = -7*d + 2*p. Solve -2*v - 3*v - d*t + 9 = 0, -2*t = 3*v - 7 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b - 388 = -406. Solve -5 = -b*a + 4 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 496201606?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -3*(-1206)\/(-27)*-1. Let y be 88\/14 + (-4)\/14. Calculate the remainder when (o\/y)\/((-1)\/(-3)) is divided by 18.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 7038*l**6 - 40*l**2 - 195*l - 1?\nAnswer: 844560*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -169*m + 4488 = 1277 for m.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 12836.00000633 - 12836. What is o rounded to six dps?\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 2, q: 2, f: 5}. Give prob of sequence qqf.\nAnswer: 5\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 7560240 or 7560241?\nAnswer: 7560240","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/3? (a) -2\/27 (b) 3 (c) 2\/3 (d) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*x = -19*x. Suppose 2*k + 5*q - 47 = x, 4*k + 29 = -4*q + 129. Which is smaller: k or 35?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 + 5 - 1)*(-768*l**2 - 844*l**2 - 1195*l**2) in the form n*l**2 + g*l + s and give n.\nAnswer: -16842","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g = -6*g + 2*g. Suppose 3*p = w - 1, 2*w + g*w + 4*p - 2 = 0. Put 5, 2, 3, w in decreasing order.\nAnswer: 5, 3, 2, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -287 + 3159\/11. What is the biggest value in y, -1\/7, -3?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-25)*m)\/(m\/m**3) assuming m is positive.\nAnswer: m**(-22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 104, 286, 512, 788, 1120, 1514, 1976, 2512?\n\"Answer: r**3 + 16*r**2 + 127*r - 40","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 286, 595, 904?\n\"Answer: 309*g - 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -3403153412 + -13?\nAnswer: -3403153425","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 12295 or 12416?\nAnswer: 12295","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 28 - 29.12. Let r = g - -1.120106. Round r to five dps.\nAnswer: 0.00011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*h + 2*h - 8 = 0 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2022 + 3887. What is the tens digit of q?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -l**2. Let r(c) = -9*c + 2*c - 26*c + 6*c. Give r(p(d)).\nAnswer: 27*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (20480\/800)\/(124\/310)\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21*o + 199 = 80 - 154 for o.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*q + 3468*q**2 - 2*q - 9647*q**2 to the form c*q + p*q**2 + k and give p.\nAnswer: -6179","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g, 2 q, and 1 z when four letters picked without replacement from {z: 6, g: 2, t: 4, b: 3, q: 2}?\nAnswer: 3\/595","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 + 9 = n - 5*m, 2*m = -2*n + 2. Let h(z) = -3*z + 1. Let v(u) = -2*u + 1. Suppose 11*l - 8*l = 9. Let a(y) = l*h(y) - 5*v(y). What is a(n)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 1359, 2715, 4071, 5427, 6783, 8139?\n\"Answer: 1356*j + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 537854?\nAnswer: 2, 268927","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*-3*3*(-2*(-2 + 4*(sqrt(1872) + 3*sqrt(1872))))**2.\nAnswer: -110592*sqrt(13) + 69009984","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/(-1 - (-2 + -1))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 691043.\nAnswer: 71, 9733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is three eighths of a millisecond in microseconds?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 13591 * 50\nAnswer: 679550","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v = 5*w + 9, 4*w - v = 5*w - 3. Suppose -s + 2 = s. Is (89 - 0\/w)\/s composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -175 divided by 1025.\nAnswer: -7\/41","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 10386192917 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 9410 to the nearest integer?\nAnswer: 97","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 9 and 66.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 655859 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 d when two letters picked without replacement from vvievedddeddhedehde.\nAnswer: 7\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Product of 34 and -5.\nAnswer: -170","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*z = 9*z - 4. Let h(s) = s**3 + 2*s**2 - 12*s - 11. Let d be h(z). Solve -5*f - d*u = -13 + 53, 2*f + 7 = u for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 373406?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 198821342?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = 14*w**2 + 3*w - 15*w**2 - 1 - 1. Let g be o(2). Let n = -751\/105 - -51\/7. What is the second biggest value in g, n, -3?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -10*m - 9 - 1 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 8 + -8.4. Which is the fourth biggest value? (a) f (b) 2\/15 (c) -5 (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13*p**2 + 165*p**2 + 2 + 135*p**2.\nAnswer: 287*p**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (3\/6)\/(6\/(-168)). Let z = s - 181. What is the remainder when (-4511)\/z - (-2)\/(-15) is divided by 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-22)\/99)\/(2\/(-3))*9. Suppose -5*y - 13 = -3*i, -2*i + 13 = k*i - 4*y. Put -4, i, 6 in decreasing order.\nAnswer: 6, i, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 47 - 44. Solve b*q - 20 = -q for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = z - 6. Let i be m(4). Let u = -4 - -4. Let l = u + -1. Sort -4, l, i in descending order.\nAnswer: l, i, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-8 - -4) + 2 + 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 505851808?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.3 (b) 0.1 (c) 0 (d) -0.023\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 6 - 14. Let j be (-2236)\/(-14) + s\/(-28). Suppose 5*b = b + j. Is b a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 + (-1)\/2)\/((-580)\/4640)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 35177?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 357 and 2810661.\nAnswer: 357","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l + 0 = -i - 40, 2*i - 1 = l. Calculate the remainder when 15 is divided by l.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4320 by 480.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 13537, 27070, 40603, 54136?\n\"Answer: 13533*q + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((6*-1*sqrt(200))\/((sqrt(100) + (sqrt(100) - sqrt(100)*-2) + sqrt(100))\/sqrt(10)))\/(((sqrt(308)*1)\/sqrt(11))\/(sqrt(63)\/sqrt(225))).\nAnswer: -6*sqrt(5)\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 3324, 6350, 9376, 12402, 15428, 18454?\n\"Answer: 3026*d + 298","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 148, 576, 1298, 2320, 3648, 5288?\n\"Answer: t**3 + 141*t**2 - 2*t + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 133219 and 21104?\nAnswer: 1319","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -757.04 to the nearest ten.\nAnswer: -760","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.2 and 883.6.\nAnswer: 883.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11207 is divided by 38.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 16 - (30 - 41 - -34)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 4\/((-31)\/(62\/(-60)))\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -43 - -43. Suppose a = 3*q - 0*q - 9. Suppose -2*u + 93 = q. What is the units digit of u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) be the second derivative of t**4\/12 + 5*t**3\/6 + 3*t**2\/2 + 100*t. Suppose 3 = -i + 1. Let a be (-1)\/(i\/(-12) - 0). Calculate w(a).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-2)\/4*-2*4. Let i = 2.73 - 2.73. Put l, -3\/5, i in ascending order.\nAnswer: -3\/5, i, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3209*z**2 - 6136*z**2 + 715 - 714)*(4*z**2 - 4*z**3 - 4*z**2).\nAnswer: 37380*z**5 - 4*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2548210?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -330 = f + 3*x - 7*x, 4*f + 3*x + 1415 = 0. Round f to the nearest 100.\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 62 - 18. Let p = l - 30. Calculate the remainder when p is divided by 8.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -9 + 14 + (3 + 2 - (-366)\/(-27)). Put f, -22, -3 in decreasing order.\nAnswer: -3, f, -22","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 20\/22713 and 73\/237.\nAnswer: 1794327","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 45 = 3*g + f, -f = -3*g + 51 - 6. Calculate the remainder when 830\/14 + 2\/(-7) is divided by g.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 204 is divided by (0 + 6\/15)*(1 - -169).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000360248 to 6 decimal places.\nAnswer: -0.00036","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + (5 - 8) + 0 + 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-95)\/30)\/19)\/(((-12)\/(-1))\/4).\nAnswer: -1\/18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 26\/6 - 194\/(-291)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (-3866)\/(-8) - 2 - (9 + (-245)\/28)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 750, 742, 734, 726, 718, 710?\nAnswer: 702","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 391587.\nAnswer: 3, 7, 29, 643","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -20215 + 667147\/33. Find the common denominator of -40\/107 and l.\nAnswer: 3531","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 17815 + -17865 + 2 + 0 + -24?\nAnswer: -72","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 12.573 times 1.215?\nAnswer: 15.276195","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 250 (b) 12 (c) 7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -5 (b) -1\/2 (c) 1\/3732\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 4308 + -684970\/159. Sort q, 5\/3, 2\/5 in ascending order.\nAnswer: q, 2\/5, 5\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine v, given that -3\/2*v**2 + 3\/2*v**4 - 237\/2*v**3 + 0 + 237\/2*v = 0.\nAnswer: -1, 0, 1, 79","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 + 1 - 4)*(17*w**2 - w + w) to the form j*w**2 + y + r*w and give j.\nAnswer: -102","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2650040?\nAnswer: 2, 5, 97, 683","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) be the first derivative of -8*l**2 + 4\/3*l**3 - 13 + 16*l. Solve z(t) = 0.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -x**2 + 4*x - 2. Suppose 0 = -u - 6 + 7. Suppose 3*f = 4*f - 1. Let v be (-3 + u)*(0 - f). What is p(v)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j = 4*p - 527, 103 = p + j - 35. Let g = -93 + p. Suppose 43*a - g*a - 63 = 0. Calculate the remainder when 103 is divided by a.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00001644 rounded to 6 dps?\nAnswer: -0.000016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 123269 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 2370000 rounded to the nearest one million?\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -3*l. Let v(o) = 9*o - 12. Let y(k) = k - 1. Let w(h) = -v(h) + 12*y(h). What is w(s(d))?\nAnswer: -9*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -7*c. Let x(i) = -15*i. Let z(v) = -13*r(v) + 6*x(v). Suppose q = -4 + 6. Let p(u) = -u**2 - 3*u**q - 2*u**2. Determine z(p(y)).\nAnswer: -6*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 6017289802 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 69169b (base 12) to base 11\nAnswer: a49a59","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 122210 (base 3) to base 10.\nAnswer: 480","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -1448.464175 rounded to 0 dps?\nAnswer: -1448","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3982790 to the nearest integer?\nAnswer: 1996","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = x - 1. Suppose -2 + 5 = -o. Let d be 3\/(-6)*o*2. Let m = 7 - d. Determine w(m).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does -345\/11 = -31?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -23.564 - -20.61. Round s to one decimal place.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -4.906 + -0.094. Which is the third biggest value? (a) 1 (b) g (c) 2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 2\/5, 0.2, -0.3, 40, -5\/2, 2\/7?\nAnswer: 40","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 7640300*m**4 + 694292*m?\nAnswer: 91683600*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(sqrt(34)\/sqrt(2)*3)**2*5.\nAnswer: -4590","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 49 + -38. Let t = -22 + 49. Let z = t - -2. Calculate the remainder when z is divided by h.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 108917 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13730.\nAnswer: 2, 5, 1373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*j + 2*j - j)*(j - 4*j + j)*(10*j - 2*j + 518664*j**3 - 518660*j**3 - j**2).\nAnswer: -8*j**5 + 2*j**4 - 16*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 9 - (-9)\/(162\/387594)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 22\/(-770)*-200*(-18)\/(-10)*21\/(-2).\nAnswer: -108","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) be the third derivative of -n**8\/1680 + n**5\/120 - n**4\/8 + 3*n**2. Let w(k) be the second derivative of v(k). What is the derivative of w(y) wrt y?\nAnswer: -12*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 + 0 + (4 + -30 - -20 - (57 + 8))?\nAnswer: -75","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*a**2*c - 5*a**2*h + 2*a**2 - 10369146*a*c*h - a*h - 148*a + 3*h + 1 with respect to c.\nAnswer: -2*a**2 - 10369146*a*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*l + 59826 = 3*l. Let c = l - -359059\/18. Find the common denominator of c and -41\/8.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/2? (a) 0.2 (b) -11 (c) -9.3 (d) -1 (e) 2\/7 (f) -0.1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1*5*-13*68\/50830?\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by 154.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-323*m - 58*m - 397*m - 498*m)*(-5*m**2 + 0*m**2 + 3*m**2 + (4 - 4 + 2*m)*(-2*m + 0*m + m)).\nAnswer: 5104*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36 = 5*o - 6. Let a be (3167 - -2 - 4)\/((-9)\/o). What is a rounded to the nearest one hundred?\nAnswer: 2100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor t**2\/4 + 1421*t\/2 + 102220.\nAnswer: (t + 152)*(t + 2690)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) be the first derivative of 7*j**4\/4 + 3*j**2\/2 - 2*j - 408. Determine y(1).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-4)\/3)\/(170\/1530)*(-1)\/(-6)*32\nAnswer: -64","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8157 + 248*q**2 - 8156 - 205*q**2.\nAnswer: 43*q**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.024*-0.15.\nAnswer: -0.0036","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -46171, -90871, -135573, -180277, -224983?\n\"Answer: -m**2 - 44697*m - 1473","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -6 - -10. Let y = -3 - 0. Let p = y - -2.9. Which is the nearest to p? (a) t (b) -1 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 202 minutes before 8:36 PM?\nAnswer: 5:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*a = 1266 + 3750. What is the highest common divisor of 760 and a?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gig when three letters picked without replacement from gfirrg?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -23 - -176. Let f = l - 100. Does 23 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 54510?\nAnswer: 2, 3, 5, 23, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*y - 2*y - 2*y)*(-7*y**4 - y**3 + 2 + 11*y**4 - 2*y**2 - 5*y**4).\nAnswer: 2*y**5 + 2*y**4 + 4*y**3 - 4*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 102*t = 27*t + 375. Solve -2*s = -2*v - 6, -4*v - 12 = s - t for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 15847508?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 - -9 - 2 - 10 - -1.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 18638 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 364739 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.4 and -0.22708.\nAnswer: -0.090832","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 242 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 33559311?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1112?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 167591 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f*f**(-16)*f)\/f*f**(-4\/3)*f)\/(f**10\/(f\/(f*f**(-13)))) assuming f is positive.\nAnswer: f**(-37\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -200, 0, 83, 4, -4, -3 in decreasing order.\nAnswer: 83, 4, 0, -3, -4, -200","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -58.601094 + 58.6. Let r = -0.001 - b. Round r to 5 decimal places.\nAnswer: 0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f\/(f**(-3)\/f))\/f**(-1))**(6\/25)*(f**(2\/9))**19*f**(-5)*f**(-6) assuming f is positive.\nAnswer: f**(-1201\/225)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 595 + -593. Let k(d) be the third derivative of 0 + 0*d**3 + 7\/24*d**4 + 8*d**f + 7\/60*d**5 + 0*d. What is the second derivative of k(l) wrt l?\nAnswer: 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 186921?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1551523, -1551526, -1551529, -1551532, -1551535, -1551538?\nAnswer: -1551541","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 16\/(-12)*60\/40?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 817?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 27, -12, -135, -348, -657, -1068, -1587?\nAnswer: -2220","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*r - 17167 = -3979. List the prime factors of r.\nAnswer: 7, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.073*0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 11 and 12107?\nAnswer: 133177","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 235 minutes before 7:59 PM?\nAnswer: 4:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/(10\/40*(-16)\/(-30))?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -172 greater than -1208\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 d when two letters picked without replacement from {o: 2, d: 4, q: 2, f: 2}?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s + 262 = 30. Let o = -234 - s. Which is the third biggest value? (a) -0.6 (b) o (c) -2\/5 (d) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2004880212?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 511501570 to the nearest integer?\nAnswer: 22616","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let 36*f**2 + 636*f + 2809 = 0. Calculate f.\nAnswer: -53\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 188838150 a multiple of 1915?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 7015254, 7015255, 7015256, 7015257, 7015258, 7015259?\nAnswer: 7015260","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7*-215*19\/665?\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -33*m - 65*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n - n = 5*w + 8219935, -4*w = 2*n - 5479964. Suppose -26*d - n = -22*d + 5*t, 3*d - 5*t = -2055020. Round d to the nearest 100000.\nAnswer: -700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-1 - 0) + ((-30)\/(-7))\/3. Which is the nearest to 0? (a) -2\/9 (b) z (c) 2\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 41 divide 266224?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-b**5 - b**5 - 2*b**5)*(-1 + 0 - 1) - 36822*b**2 + 1429*b**5 + 36822*b**2.\nAnswer: 1437*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2\/3957 - -11743\/253248. Let y = 171\/448 + i. Factor -9\/7 - 6\/7*t + y*t**2.\nAnswer: 3*(t - 3)*(t + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -3\/7 (b) 0.4 (c) -10 (d) -1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*d**2 + d**2 - 3*d**2)*(-6*d + 6*d - 4*d).\nAnswer: -4*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 4*-1 - (-111 - -95)*(-1)\/(-2). Solve -p*h + 2*i = 10, -2*h + 5*h = -5*i + 25 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*z**2 - 7710*z + 2972205.\nAnswer: 5*(z - 771)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(68) - (sqrt(68) - sqrt(68)*-2))\/sqrt(4) + (-4*(sqrt(17) + 3))**2 + -5 + (sqrt(833) + -1 - sqrt(833))*-6.\nAnswer: 94*sqrt(17) + 417","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 351015621 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*w + 24 - 24. Suppose f = 2*c - c + 400, 2*c - 2 = w. What is the hundreds digit of f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.065 + 63.065. Let s = -25928597.999996 - -25928661. Let l = z - s. What is l rounded to six decimal places?\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:30 AM and 12:16 PM?\nAnswer: 466","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 77444167?\nAnswer: 59, 73, 17981","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 1376 (base 12) in base 4?\nAnswer: 203022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) be the first derivative of r**4\/4 - 8*r**3\/3 - 3*r**2 - 5*r + 2. Let u be a(9). Let x = u + -4. What is the tens digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -3*y**2 - 7 - y**2 + 3*y**2 + 0 + 3*y + 4. Let h(k) = 4*k**2 - 16*k + 16. Give -3*h(b) - 16*w(b).\nAnswer: 4*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2 - 11. Let j = n - -9.3. Which is smaller: 1\/3 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 95 divided by -6393\nAnswer: -95\/6393","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -14804, -14800, -14794, -14786, -14776?\nAnswer: -14764","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d = -2*m + 66, 114 = -3*d - 3*m + m. Let w be (-11)\/(279\/d - -8). Which is greater: w or -47?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x + 2*x + 3*a - 6 = 0, -x + 4*a = -7. Suppose x*k = -k - 188. Let l = -30 - k. List the prime factors of l.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v**2\/10 + 2*v\/5 - 6\/5 = 0. Calculate v.\nAnswer: -6, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5 by -90437.\nAnswer: -5\/90437","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4*3\/7)\/((6\/28)\/(-1)).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 + 3*y + 1 + 1)*(4 - 7 - 10)*(2 + 3 - 3) in the form s*y + f and give f.\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x = -5*x - m + 45, -2*x - 5*m = -105. Calculate the remainder when 117 is divided by x.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = 15*z + 130. What is the remainder when (-8)\/(2 + (-32)\/14) is divided by n(-8)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1485 is divided by 701.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*q = 21*q + 210 for q.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -115284.97 rounded to the nearest one hundred?\nAnswer: -115300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 987 is divided by 23?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -5 in -2\/5, 11, -23?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve u - 24 = 4*p, 123*p - 5*u = 112*p - 75 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put 36, 1\/9, 9422, -1\/6, 0.3 in ascending order.\nAnswer: -1\/6, 1\/9, 0.3, 36, 9422","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/6? (a) -5 (b) -627 (c) -0.4 (d) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*l + 497 = -11*t - 19*l + 13*l, 0 = 5*t + 4*l + 199 for t.\nAnswer: -43","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*n**4 - 44550*n**3 - 132402480*n**2 - 131518728320*n - 784355496960.\nAnswer: -5*(n + 6)*(n + 2968)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (9 - 15) + (1 - -10) - 6.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 4192 and -8 - ((-4)\/(-2))\/(2 + (-42)\/20)?\nAnswer: 12576","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -700563.68 rounded to the nearest one hundred thousand?\nAnswer: -700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 11 - 13 - (0 - 0)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z and 3 a when four letters picked without replacement from ndadaadrdddzdz?\nAnswer: 2\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f - 5*f - 1062 = 0. Let z = f - -121. Suppose -26020 = z*t - t - 5*a, 2*a = 3*t + 39008. What is t rounded to the nearest ten thousand?\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 21203?\nAnswer: 7, 13, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 3345539027 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 12, -0.2, -0.5, -4.\nAnswer: -4, -0.5, -0.2, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 646 minutes before 10:53 PM?\nAnswer: 12:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = 25*n**2. Suppose 5*u = a - 16, -3*a + 2 = 2*a + u. Is w(a) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 107214 (base 9) in base 4?\nAnswer: 33231013","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 21\/8 of a litre?\nAnswer: 2625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 m and 1 w when three letters picked without replacement from jjcwjommcjcmcj.\nAnswer: 3\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10610 divided by 10610.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 a and 1 v when three letters picked without replacement from {v: 2, a: 2}.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ej when two letters picked without replacement from {u: 3, e: 4, j: 1, y: 5, d: 1, l: 1}.\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*y = y + 1010. Let k = y + -83. Is k a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1380 and 460940.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 12) in base 16?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00016940986 to six decimal places.\nAnswer: -0.000169","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = 39*i - 8. Let y = -13940 - -13934. Let o(x) = 1. What is y*o(w) - d(w)?\nAnswer: -39*w + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -38, 36, 5, 1, -4 in descending order.\nAnswer: 36, 5, 1, -1, -4, -38","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -396 = 6450*u - 6439*u for u.\nAnswer: -36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -7*p**2 - 24*p - 48. Let q(b) = 6*b**2 + 24*b + 48. Let k(u) = -4*q(u) - 3*x(u). Factor k(m).\nAnswer: -3*(m + 4)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -166554 by 171.\nAnswer: -974","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 21242420 (base 5) to base 3\nAnswer: 100012021011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*1*sqrt(405)*-2*2)**2 + -5.\nAnswer: 6475","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -592*o*s + 283363080*o + 12635*s wrt s.\nAnswer: -592*o + 12635","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*x - 3*t + 7*t - 32 = 0, 5*x - 3*t - 24 = 0 for x.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -8e - e?\nAnswer: -9d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 0.223 (b) 3\/2 (c) -0.284 (d) 0.4 (e) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = 17*i**2 + 392*i + 15. Calculate z(-24).\nAnswer: 399","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -477 divided by -3.\nAnswer: 159","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 - (4 + 2 + 1 - -1).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (5190\/(-4))\/(-5)*(-10)\/(-15) is divided by 2\/4*(-6 + 108)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -12*r + 11 - 11 + 5 - 5 - r + (0 + 1 - 3)*(2*r - 3*r - r) - 3*r - 2*r + 3*r + 0*r - 6*r + 3*r + (-4 + 2*r + 4)*(0 + 1 + 1).\nAnswer: -10*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 5488079 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 3, g: 1, f: 4}. What is prob of sequence fkgk?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.52 from -764.\nAnswer: -763.48","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -v**3 + 12*v**2 - 2*v - 17. Suppose -3*n + 5*n + 40 = 5*b, 2*b - 16 = -n. Is k(b) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -7*c + 3*c, 0 = -3*a + c - 20. Sort 2, 4, a in decreasing order.\nAnswer: 4, 2, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-10)\/(-28)*(-924)\/2640?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 94628766 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: Calculate 670*0.5.\nAnswer: 335","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = 5*q**2 + 7*q + 3. Let k(o) = 28*o**2 + 41*o + 16. Let b(x) = -6*k(x) + 34*r(x). Let t be b(3). Solve -5*i + 5*n = 5 - t, 25 = -5*i - 5*n for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 7135 + -228287\/32. Let s = j - -205\/96. Calculate the common denominator of ((-1)\/(-4))\/((-49)\/406) and s.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) be the second derivative of -h**7\/14 + h**6 - 9*h**5\/2 + 10*h**4 - 25*h**3\/2 + 9*h**2 - 8*h - 4. Find l such that w(l) = 0.\nAnswer: 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 98*d**5 + 6700*d**4 - 22*d**3 - 152382*d - 31.\nAnswer: 1960*d**3 + 80400*d**2 - 132*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 689483300 rounded to the nearest 100000?\nAnswer: 689500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/93? (a) -2 (b) 4 (c) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 83\/45936 and 181\/600.\nAnswer: 1148400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 36 + -18. Let c = -10 + d. Let j = 15 - c. Sort 1, j, -2\/11 in increasing order.\nAnswer: -2\/11, 1, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 27846 - 17*i**2 - 27846 - 9*i**3 + 17*i**2.\nAnswer: -9*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*a\/a**(-1\/7))\/a*a*a*a**(-9\/5)*(a*a**(-9)*a)\/a**(-5) assuming a is positive.\nAnswer: a**(-23\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 73444.\nAnswer: 2, 7, 43, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 1537652 to the power of 1\/2, to the nearest integer?\nAnswer: 1240","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 48*l - 52*l - 11659 = 3*z, -5*z - 14570 = 5*l. Is -2918 != l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 0 + 2 - 8*t**2 + 7*t**2 - t as u*t + z + k*t**2 and give u.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 2106 a multiple of 78?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 81089755 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*q - 5*q + 784 = 0. Suppose 5*g - 12 + 2 = 0. Solve 5*m - q = 4*n, -7*m + g*m = -n - 22 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(sqrt(325) + 1) + 3 + 5 + (6*(-1*sqrt(208) + -3) + -2)**2.\nAnswer: 980*sqrt(13) + 7900","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 26 or 40?\nAnswer: 40","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 711835697 to the nearest integer?\nAnswer: 893","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = 7*c**3 + 2*c**2 + 2*c - 2. Let x be b(1). Suppose q + x = -2*q. Let p be q\/((-1)\/(5\/(-5))). Sort -5, p, -4, 2 in ascending order.\nAnswer: -5, -4, p, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 17.48379 kilometers?\nAnswer: 17483790000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -119.3 - -110. Let j = a + 9. What is the closest to 2\/7 in 3\/5, 1\/3, j?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -78*g - 99. Calculate o(-2).\nAnswer: 57","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -60 - -2. Let i be (9\/6)\/(1\/f). Let k = i - -140. Is k prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1287812, -1287794, -1287758, -1287698, -1287608, -1287482, -1287314?\nAnswer: -1287098","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*r - 30 = 3*r + h, 4*h + 15 = -r for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/4 of a litre in millilitres?\nAnswer: 750","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: What is -2 - (1 + -1) - (-8 + 30 - 37)?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*n - 4*n + 126. Suppose -5*r + n = 1. Let d be (-56)\/2*(33\/(-6) + r). Calculate the greatest common factor of 28 and d.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) be the third derivative of -l**9\/3024 + l**7\/210 + 41*l**3 - 236*l**2. Let s(b) be the first derivative of v(b). Find c such that s(c) = 0.\nAnswer: -2, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 1624?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1077341?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 35\/(-406) - (2 - 1). Let q = 1496\/29 + h. Calculate the common denominator of q and -3*(-88)\/18 + -4.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 154, -59, -642, -1787, -3686, -6531, -10514, -15827?\n\"Answer: -32*v**3 + 7*v**2 - 10*v + 189","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1929240851 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n = 3 - 1, -2*n = -g - 4. Let w be (1 + 0)\/(-1)*-5. Suppose -w*f = -g*f - 35. What are the prime factors of f?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 8 - 4. Let y(a) be the second derivative of -5\/6*a**3 + 0 - 1\/20*a**5 - a**2 + 5\/12*a**4 + 4*a. Give y(l).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -124309 and -27.7.\nAnswer: 3443359.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 36.253 - 36.053. Let p = -0.219 + -87.781. Are p and i unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2149557253 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 656 and 2096.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) be the third derivative of 0 - 7\/6*n**3 - 10*n**2 + 0*n + 1\/12*n**4. What is z(5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 133459, 141913, 150367, 158821, 167275, 175729?\nAnswer: 184183","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) be the second derivative of -49*l**5\/20 + 13*l**2\/2 - 11*l - 3. What is the first derivative of g(m) wrt m?\nAnswer: -147*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2993 is divided by 149?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -5.09 + 0.09. Let l = -3 - z. Sort l, -1\/2, 0.5 in decreasing order.\nAnswer: l, 0.5, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*x**2\/5 + 24986836*x\/5 - 49973688\/5 = 0.\nAnswer: -6246711, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 6 (base 12) to base 13\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) be the first derivative of -3*v**4\/4 - 2*v**3 - v**2 + v - 1. Let d be b(-4). Calculate the greatest common factor of d and 21.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -7137, -6904, -6515, -5970, -5269?\n\"Answer: 78*n**2 - n - 7214","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-10)\/204 + (-1 - 3 - -4). Let c = f + -733\/306. Which is smaller: c or -1?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -33 - -33.76. Let i = 0.26 - u. Sort i, -0.2, -2 in increasing order.\nAnswer: -2, i, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2\/11, -495316\/25, -0.5?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-g + 2*g + g)*(g - 2*g + 3*g)*(-4*g**2 + 3*g - 3*g) + 3 - 10*g**4 - 8 + 12*g**4.\nAnswer: -14*g**4 - 5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2585298.\nAnswer: 2, 3, 430883","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:22 AM and 2:42 PM?\nAnswer: 620","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 1217 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: What is 344 minutes before 5:32 PM?\nAnswer: 11:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 69\/14 and -101\/3808.\nAnswer: 3808","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + ((2 + -2*sqrt(300) + sqrt(300) + 4)**2 - (5 + sqrt(3) + -2 + -5*(1 + sqrt(3)))**2).\nAnswer: -136*sqrt(3) + 281","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -y**2 - 4*y + 7. Let q = 2 + -2. Suppose q = 3*h + 10 + 5. Calculate the remainder when 5 is divided by l(h).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -230 + 230 - 12*u.\nAnswer: -12*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-9)\/(-60)*5)\/(2\/(-392)). Let u be -4 - (3 - 7) - 363. Let c = y - u. Does 8 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 5454 - 5454. Solve 70*f - 59*f - 11 = a for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**1)**(-12\/5))**45\/(((r\/r**(2\/9))\/r)**12\/(r*r*r\/(r*(((r**(1\/3)\/r)\/r)\/r)\/r))**(-1)) assuming r is positive.\nAnswer: r**(-111)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = -4*d, -d + 4 + 41 = 2*o. Suppose -37*q = -51*q + 70. What is the highest common divisor of q and o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -29\/153 and -16\/108711.\nAnswer: 1848087","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -567 = -2*s - 561. Suppose 5*q + 436 = s*t, t - 152 = 8*q - 3*q. Does 2 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) be the first derivative of -8 + 0*x**3 - 13\/12*x**4 + 10*x**2 + 25*x. Let y(m) be the first derivative of j(m). What is the derivative of y(q) wrt q?\nAnswer: -26*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 634.6181 grams in milligrams?\nAnswer: 634618.1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is (95\/38 + -21)\/((-1)\/862) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -23446*u - 34363. Let q(a) = 3900*a + 5727. Let g(t) = 2*l(t) + 13*q(t). Differentiate g(b) with respect to b.\nAnswer: 3808","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = 2*d**3 + 23*d**2 + 11*d + 8. Let o be f(-11). Solve -16*v + 2*k = -18*v - o, 5*v - 4*k + 20 = 0 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = x**2 + 445*x + 3923. Determine b(-9).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -108*s**2 + 6373*s - 137. Calculate b(59).\nAnswer: -78","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*w + 3*w + w)*(-4*w**3 - 2*w**3 + w**3) + (-w**2 + w**2 - 2*w**3)*(-w - w + 0*w) + 4*w**4 - 4*w**4 - 3*w**4.\nAnswer: -9*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -47*y + 8. Let t be d(-5). Suppose 2*k = -0*k - 4*p + 162, 5*p + t = 3*k. What is the units digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (3\/6)\/((-1)\/14). Let r = -11 - j. Let q = 11 + r. Calculate the highest common divisor of 77 and q.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -27*v + 1108. Give w(39).\nAnswer: 55","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-25)\/(-9) - 4\/(-18). Suppose -5*t = 5*d - 65, -d + 0 = -2*t + 2. Solve d = z*b - 4 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2362 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -442*y - 4425. Determine u(-10).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.24345 - 0.04345. What is the smallest value in 1\/4, i, 2\/9, -15?\nAnswer: -15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -101110111110001 (base 2) to base 3\nAnswer: -1012222201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 214066*l + 2 - 214072*l.\nAnswer: -6*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 1, y: 4, s: 7, m: 2, g: 4}. Give prob of sequence gyss.\nAnswer: 7\/765","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 876*a = 4*m + 875*a + 3, -10 = 4*m + 6*a for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 6 + -7. Let a = 14 + v. Suppose 12*u - 14*u = -208. Calculate the highest common factor of a and u.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-40*z**2 - 7 + 5 + 9*z**2 + z)*(-4*z + z + 4*z) as p*z + w*z**2 + q + v*z**3 and give v.\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/10, 1\/6, 0.5, -23 in descending order.\nAnswer: 0.5, 3\/10, 1\/6, -23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*d**3 + 81*d**2 + 486*d.\nAnswer: 3*d*(d + 9)*(d + 18)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**25\/(c*c**(-8)*c))\/(c**(2\/3)*c*c)**(-3))**(-2\/3) assuming c is positive.\nAnswer: c**(-26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -4*d**3 - 2*d**2 + 6*d + 1. Suppose 12*t - 12 = 15*t. What is the units digit of h(t)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (5\/55)\/((-160)\/4400)?\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/5 of a tonne in kilograms?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 743 by 4089.\nAnswer: 743\/4089","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 80, -5 in ascending order.\nAnswer: -5, -4, 80","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -10459888, -10459879, -10459864, -10459843?\nAnswer: -10459816","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*t + 24 + 88 = 0 for t.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.2, -2\/95, -10, -5, 16 in ascending order.\nAnswer: -10, -5, -2\/95, 0.2, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3 + -6. Let c = t - -5. Suppose -3*n + k + 332 = n, 0 = 4*n - c*k - 332. Is n a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 228441355?\nAnswer: 5, 233, 196087","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find z such that 3*z**4\/8 - 48629*z**3\/4 - 1719181*z**2\/8 + 81088*z + 291933\/2 = 0.\nAnswer: -18, -2\/3, 1, 32437","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 48827*r**2 - 73*r + 59 wrt r?\nAnswer: 97654","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -155, -988, -2497, -4682, -7543, -11080?\nAnswer: -15293","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**9\/l**(-8\/9) assuming l is positive.\nAnswer: l**(89\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -222 + 402. Let v = l + -44. Does 33 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -5*o**2 + 3*o**2 - 2*o**2. Let m(k) = -2*k. Calculate m(z(v)).\nAnswer: 8*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -0.1, -0.3, -487?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -593*q - 6155 + 5429 = -370*q + 10647 for q.\nAnswer: -51","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = 2*t - 3 + 3 - 6*t. Suppose -4*q = 0, 5*x - 3*q - 20 = -7*q. Let h(o) = -x*o + 3*o - o. Determine h(c(g)).\nAnswer: 8*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-36)\/8*(-5 - (-77)\/21). What is the hundreds digit of (3 + q + -11)*-427?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:16 PM and 10:17 PM?\nAnswer: 181","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -186, -348, -510, -672?\nAnswer: -834","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 1001 + -47?\nAnswer: b76","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 18317 rounded to the nearest ten thousand?\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1\/3, 0.1, -5, -2\/23, 9\/8242?\nAnswer: 9\/8242","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = 591*s + 593*s - 1178*s - 20*s**2. Let y(x) = -x**3 + 2*x**2 - x + 2. Let i be y(1). Let h(p) = -4*p**2 + p. Determine i*v(u) - 11*h(u).\nAnswer: 4*u**2 + u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1390, -1386, -1382?\nAnswer: -1378","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -146*g**2 + 83*g**2 + 62*g**2.\nAnswer: -g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = f**3 - 136*f**2 - 536*f + 88. What is the smallest common multiple of 1293 and x(140)?\nAnswer: 10344","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1227 divided by 4\nAnswer: -1227\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:13 PM and 7:59 PM?\nAnswer: 286","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1626768 is divided by 703.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*g**2 - g**3 + 6*g - 2*g**2 - 4*g**2 - 8*g in the form c*g**3 + t*g**2 + h*g + z and give t.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*i + 5*i + 5*h - 8, 4*i = 5*h - 26. Let v be (40\/(-60))\/(2\/i). Solve v*b + 1 = 13 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 21134.9998183 + -21135. Round l to 4 dps.\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -3 + 2*d + 2*d - 16*d - 8. Is l(-9) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -96 times -6?\nAnswer: 576","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + 86 = 2*u - h, -u = 5*h - 2. Suppose -3*d - 36 = -a - u, -5*d + 19 = 4*a. What is the biggest value in -0.3, 0.4, a, -2\/5?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**5\/(r*(r**4\/r)\/r))**(1\/7) assuming r is positive.\nAnswer: r**(2\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 6\/5 of a tonne?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11 = -5*s - 12269*u + 12268*u, 0 = -3*s + 4*u - 25 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-h + h - h**2)*(-4 + 2*h + 4) - 29*h**3 - 33*h**3 + 5*h + 68*h**3.\nAnswer: 4*h**3 + 5*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2913, -3113, -3313?\nAnswer: -3513","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -h + 2*h + 3*g, g = -5*h + 10. Suppose -5*y - 2*v - h*v + 45 = 0, 3*y - 17 = 2*v. Calculate the highest common factor of 21 and y.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -649886 (base 15) to base 5.\nAnswer: -2211303201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 4) to base 6\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = u**3 + u**2 - 6*u + 2447. Let p be o(0). Are p and 2447 equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 478*w = -3*c + 482*w + 53, 46 = -4*c - 3*w for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3 - 2*l**5 - 2 + 3 - 444*l + 669*l**5 + 444*l + (3*l**3 - l**3 - l**3)*(-3 + 3*l**2 + 0*l**2 - 4*l**2).\nAnswer: 666*l**5 - 3*l**3 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) be the second derivative of 2*z**2 + 4*z - 69*z**3 + 70*z**3 - 2*z**2. Let c(s) = 4*s**2. Calculate c(u(i)).\nAnswer: 144*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -h**3 + 42*h**2 - 184*h - 37. What is n(37)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000054792 to six dps.\nAnswer: 0.000055","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1 - -3. Suppose 0 = -n + b*n - 14. Calculate the greatest common factor of n and 35.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1 + -304300310421?\nAnswer: -304300310420","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 40 and 140?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 125*d**3*f**3 - 539*d**3 + 6*d*f**3 + 10*d + 1 wrt f.\nAnswer: 375*d**3*f**2 + 18*d*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*i + 4 - 4)*(-62*i - 49*i + 13*i)*(2*i**3 + 1 - 1).\nAnswer: -392*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -2*2\/8*-8. Let x be -10*q\/((-16)\/(-50)). Let a = x - -214. What is the units digit of a?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14898119 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) be the second derivative of z**5\/60 + 391*z**4\/36 + 19012*z**3\/9 - 19208*z**2\/3 - 2583*z + 1. Factor n(v).\nAnswer: (v - 1)*(v + 196)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4794 to the power of 1\/8, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -212*w + 209*w - 5*t - 28, t - 4 = -3*w for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Do -1 and -20\/1389 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence iy when two letters picked without replacement from {i: 2, s: 1, y: 1, c: 2, j: 2}.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 22448738.\nAnswer: 2, 13, 17, 50789","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Determine t, given that 21*t**5 - 708*t**4 + 8208*t**3 - 36288*t**2 + 41472*t = 0.\nAnswer: 0, 12\/7, 8, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 35 divide 476?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1217271?\nAnswer: 3, 11, 36887","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*w + 3*w = s + 53, 0 = 4*w - 4*s - 60. Suppose 5*o = 10, 3*n + 0 - w = -2*o. Let r = 9 - 4. Solve -r*p + 20 + 11 = -2*g, -4*g - n*p + 13 = 0 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 1057*z**3 - 31788*z - 778317956?\nAnswer: 3171*z**2 - 31788","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -167\/30 + 11\/2. Let t(v) = -v**2 - 3*v + 1. Let m be t(-3). Which is bigger: q or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nbgngtngbtbbgtgng. What is prob of sequence ttnn?\nAnswer: 3\/2380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -a**3 - 6*a**2 - 11*a - 30. List the prime factors of z(-8).\nAnswer: 2, 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*b = -11*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -15 + 8. Let q(v) be the second derivative of v**4\/12 + 5*v**3\/6 - 5*v**2 - v. Let b be q(j). Calculate the greatest common divisor of b and 16.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 26386 or 26388?\nAnswer: 26386","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 945840.8m?\nAnswer: 94584080","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 377 by 526681.\nAnswer: 377\/526681","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 - (-4 + (9 - -4 - 3))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 31968?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -3890938*o**4 + 38564283 wrt o?\nAnswer: -15563752*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -131\/1064 - -1\/56. Which is the smallest value? (a) g (b) -3\/4 (c) -3 (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 (base 6) to base 4\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 251445044 (base 6) to base 14.\nAnswer: 900d00","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hnb when three letters picked without replacement from {u: 2, b: 1, n: 1, h: 1}.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/2 of a litre in millilitres?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3*b**3*h**3 - 11*b**3*h - 5*b**3 + b*h**3 + b*h**2 wrt h?\nAnswer: 18*b**3*h + 6*b*h + 2*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23 = 3*k - 20 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -79.24 to the nearest ten.\nAnswer: -80","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -200702\/138317613 - -28\/16563. Which is smaller: 0 or l?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1762742\/3 + -587580. Solve o + 1\/3*w**2 + 7\/6*w - 1\/6*w**3 = 0.\nAnswer: -1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*f + 5*q - 372 + 37, -5*q = -5*f + 475. What is the greatest common factor of f and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 63 and 91?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = 6*o**2 - 17. Let a(x) = -x**2 + 3. Let c(t) = 34*a(t) + 6*k(t). Let f(m) = 4*m**2. Calculate c(f(u)).\nAnswer: 32*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -759200 to the nearest one hundred thousand.\nAnswer: -800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14*d**2 + 3*d**2 - 5*d**2 + 34*d + 74 - 110.\nAnswer: 12*d**2 + 34*d - 36","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12239041 divided by -1.\nAnswer: -12239041","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -256 - -31a2?\nAnswer: 2d4a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*q - 4*q + 0*q + (-q + 4*q - 5*q)*(3 + 1 - 3) - 2*q + 3 - 3 + 3*q + 0*q - 12*q + 0*q - 3*q + 2*q + (2 + 0 - 1)*(2 - 2 - q).\nAnswer: -17*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = t - 6 - 3 + 3. What is h(7)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 18*t + 195 - 99 - 96 to b + g*t and give g.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -l**2 - 5*l - 2. Let f be w(-4). Let d(m) be the third derivative of 1\/420*m**5 + 0 + 0*m**4 + 1\/210*m**6 + 0*m + 0*m**3 - m**f. Factor d(h).\nAnswer: h**2*(4*h + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -305 + 312. Suppose -w*x + x + 2682 = 0. List the prime factors of x.\nAnswer: 3, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 54.6381 millimeters?\nAnswer: 54638.1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -115 - -117. Suppose -t*d + 345 - 107 = 0. What are the prime factors of d?\nAnswer: 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 25\/(-10)*(-1 + -1). Suppose j - 2 = 2*j. Let i = n + j. Solve 0 = -5*r + g + 1, -2*r = 4*g + i + 1 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 382\/18 - (7 + 305\/(-45)). Suppose 4*a = -1 + z. Put 0, 1, -14, a in ascending order.\nAnswer: -14, 0, 1, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t and 1 r when two letters picked without replacement from {i: 2, r: 1, t: 1}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (g**2 + 0 + 0)*(-13 - 12 - 28) + 47*g**2 - 1452 + 1452 + (4 - g - 4)*(3 - 3 - g) to the form u*g**2 + y + n*g and give u.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*p = -16*p + 14 + 64 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 145*i**5*u**2 + 20*i**4*u**2 - i*u - 1868*u**2 wrt i?\nAnswer: 2900*i**3*u**2 + 240*i**2*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) be the first derivative of p**4\/4 + p**3\/3 + p**2\/2 - 3*p - 2. Suppose 0 = 3*d - 12*d. Determine g(d).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.5 times -72792\nAnswer: -36396","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -19*l**2 - 6846340*l - 91184439 wrt l.\nAnswer: -38*l - 6846340","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*p + 132 - 100. Suppose -2*j + 30 = p*j. Suppose 4*d + 3*i = 2*d + 35, -d - j*i = -10. What is the highest common factor of d and 275?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:31 PM and 4:38 PM?\nAnswer: 127","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3472*a**2*p**4 - 2*a**2*p**3 + 7*a**2*p**2 + 78*a**2*p + 2*a*p wrt p?\nAnswer: -83328*a**2*p - 12*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sum 306 and -4.\nAnswer: 302","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Determine t so that -10\/3*t - 2\/3*t**2 - 4 = 0.\nAnswer: -3, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -6*r + 4. Let q be l(-4). Let c be (-121)\/(-7) + (-8)\/q. Suppose 45 = 2*x + c. Does 7 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -10 + 6. Let y(c) = c**2 + 6*c + 18. Let d be y(h). Solve 0*x = 2*x - d for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -45283\/27 + 1675. What is the common denominator of (178\/24)\/((-30)\/(-15)) and f?\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is three tenths of a centimeter in micrometers?\nAnswer: 3000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + -8 - (-4 + 0) - -3.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 378*u + 269*u - 684*u + 250*u + 468*u.\nAnswer: 681*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -876702250450601\/19896 - -44064246593. Let j = 1\/2487 + u. What is the common denominator of j and 137\/138?\nAnswer: 552","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by 495150.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*f + 0*f + f - 2*f + 3*f - 3*f - f + f - f + (-4 + 2 + 1)*(-1 + 1 + 2*f) + (3 - 2 - 3)*(3*f + 4 - 4).\nAnswer: -10*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3312688?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -8*b**2 - b - 2. Suppose -2*j = 7*j + 27. Let k be m(j). Which is smaller: k or -70?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4)\/6 - (196\/(-60))\/7.\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 494 and 630058?\nAnswer: 11971102","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (76 - 11) + (-8 - -24) - 19.\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 2\/7, 2\/13, -7 in descending order.\nAnswer: 4, 2\/7, 2\/13, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22 = 20*k - 38 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = 2*o - 189. Let r(z) = 21. Determine 6*r(d) + y(d).\nAnswer: 2*d - 63","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2 - 9\/(2 + -3). Let a(z) be the third derivative of -z**5\/60 - z**4\/24 + 2*z**2. Let q(c) = 5*c**2 + 5*c + 1. Calculate p*a(w) + 2*q(w).\nAnswer: -w**2 - w + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1035 is divided by 169?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3614?\nAnswer: 2, 13, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -146*d = -153*d - 77, 2*l - 3*d - 36 = -l for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 21.30452ms in microseconds?\nAnswer: 21304.52","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -512647236 by 42720603.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 105820819.69999895 + -105820774.7. Let w = 0.043 - -44.957. Let q = u - w. What is q rounded to 7 decimal places?\nAnswer: -0.0000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 17929.\nAnswer: 17929","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*r**2 + 0*r + 0*r)*(r - 3*r + 4*r) - r + r - r**3 + 339*r**3 - 616*r**3 + 438*r**3.\nAnswer: 164*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2 + -6 + 4 - -5) + -3.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -15*s**2 - 9. Let y(c) = c + 4. Let h be y(5). Let t(v) = -1. Let x(q) = h*t(q) - i(q). Let g(f) = f. Determine x(g(w)).\nAnswer: 15*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -7 + 8.66. Let l = r + -0.06. Let c = 1.5998 - l. What is c rounded to 3 dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -82 - -68. Let n be 1*(-36884)\/8*o. Let b = -180453 - n. What is b rounded to the nearest ten thousand?\nAnswer: -250000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8 - -150*6\/(-9)*-15 is divided by 49?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 9, g: 2}. Give prob of sequence lg.\nAnswer: 9\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/((-2)\/22*559\/(-1118)).\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + 47*j - 49*j = -1246, -5029 = -4*s - 3*j. Calculate the remainder when s is divided by 181.\nAnswer: 178","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1221, -182, 0.1 in increasing order.\nAnswer: -1221, -182, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -50 divided by -34815.\nAnswer: 10\/6963","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3 + -2. Let o = 10 - 6. Let s = 0.1 - 0.6. Which is the nearest to -0.1? (a) o (b) s (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1946433 divided by -213\nAnswer: 648811\/71","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 6925250887 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1*(21\/(-6) - -4). Factor y*h**3 - 1\/2*h + 0*h**2 + 0.\nAnswer: h*(h - 1)*(h + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 160539 is divided by 1396.\nAnswer: 1395","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(1 + (sqrt(432)*1)**2).\nAnswer: 1732","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = 27*s - 51. Let l be r(1). Let m be l\/((-45)\/(-44)*-3 + 3). What is the highest common factor of 22 and m?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange b + 13*b + 0*b - 11 - 6*b to the form a + c*b and give a.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*z - 3*z + 2*z)*(2586*z**2 - 2556*z**2 - 18*z + 23*z**3 - 24*z**3).\nAnswer: z**4 - 30*z**3 + 18*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express 63*h + 64*h - 117*h as a*h + d and give a.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4747 is divided by 1184?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000000017311 to seven dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (z + 2*z - 4*z)*(24 - 13 + 94 + (-1 - 6 - 1)*(-1 + 0 + 3)).\nAnswer: -89*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*o**3 + 1290715*o**2 - 24525090*o + 77448600 = 0 for o.\nAnswer: -258162, 4, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -3, 0, 1, 11583 in increasing order.\nAnswer: -3, -1, 0, 1, 11583","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 51, -259\/5 in increasing order.\nAnswer: -259\/5, -5, 51","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5550104.\nAnswer: 2, 7, 99109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4 + 13*v**3 - 4 + ((5 - 5 + 2*v)*(0*v - 2*v + v) + 4*v**2 - 4*v + 4*v)*(-42 - 14*v + 42).\nAnswer: -15*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4)\/(-15) - 12525\/20875?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 316 - 316 - 17*f.\nAnswer: -17*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -73 - 25*y**3 + 213 + 38*y**3 + 2*y - 16*y**3 - 140.\nAnswer: -3*y**3 + 2*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -47.96 rounded to the nearest integer?\nAnswer: -48","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8 - 34 - (-9 + -25).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-12)\/3 + 0 + -3. Let t = c - -12. What is the third smallest value in t, -2, -5\/3?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*v = -92*s + 81*s - 32, -s + v - 8 = 0 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 2231 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 15 (base 15) to base 14.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 46 divide 16375034?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -164\/5*r**3 + 182\/5 + 1\/5*r**5 + 163\/5*r + 4*r**4 - 202\/5*r**2 = 0. What is r?\nAnswer: -26, -1, 1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 110 and 210.\nAnswer: 2310","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 4, -0.1, 0.5, -8, 191, 2\/7, 0.4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i**5\/5 - 26*i**4\/5 = 0. What is i?\nAnswer: 0, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 662*s**2 + 2*s*t**2 + 12309*s*t - 431*t**2 + 15*t + 236 wrt s.\nAnswer: 1324*s + 2*t**2 + 12309*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-37)\/(-7) + -5 + (2 - 112\/49). Which is smaller: p or 1\/14436?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.5, -382595, 0.09 in descending order.\nAnswer: 0.5, 0.09, -382595","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 4042488830 to the power of 1\/2, to the nearest integer?\nAnswer: 63581","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k = -k + m + 33, 3*k + 4*m = 44. What is the third derivative of 14*l**2 - k*l**3 + 59*l**3 - 20*l**2 wrt l?\nAnswer: 258","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 3\/50 of a micrometer?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (397\/(-19850))\/((-5)\/1100).\nAnswer: 22\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -18030 by -5.\nAnswer: 3606","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (-75)\/30*5724\/530\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:43 AM and 8:55 AM?\nAnswer: 492","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 0.659461t?\nAnswer: 659461000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*(sqrt(630) + 2*sqrt(630) + sqrt(630))*-1)\/(sqrt(70)\/(sqrt(252)*-1)))**2.\nAnswer: 145152","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 162 - 161.99771. What is p rounded to 4 dps?\nAnswer: 0.0023","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -158.06 - -2.06. Let n = z + 156.174. Let r = 5.384 - n. What is r rounded to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-1 - (-116)\/140)\/((-117)\/273). What is the closest to 1 in 0.01, m, 2\/15?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -9*w - 1 - 8*w - 5*w + 31*w - 6*w. Suppose -d = 4 + 1. Let o(j) = -4*j + 2. Give d*v(p) - 4*o(p).\nAnswer: p - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 10 + -8. Suppose 5*a + 5*r - 80 = 0, 2*a - 47 = r + x*r. Is 4 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 44 + 28 = -4*a. Let q = -4 + a. Let r = 31 + q. What is the lowest common multiple of 9 and r?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 546 minutes before 10:55 PM?\nAnswer: 1:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 299069?\nAnswer: 23, 13003","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:30 PM and 2:09 AM?\nAnswer: 699","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -13 + 15. Let r(w) = -2*w + t*w - 3 - 2*w - w. Let j(l) = -7*l - 7. Determine -2*j(f) + 5*r(f).\nAnswer: -f - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) be the first derivative of -s**3 + 0*s**4 - 2 + 0*s**2 + 0*s + 2\/5*s**5. What is the third derivative of l(u) wrt u?\nAnswer: 48*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 4 + 3)*(4 - 1 - 1)*(14 - 14 - q).\nAnswer: 4*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) be the first derivative of -3*m**2\/2 - 18. Let u(l) = -6*l**2. Determine z(u(c)).\nAnswer: 18*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 149*n + 1789 - 150*n - 29*n**3 - 405 + 1328 + 31*n**3 to m + u*n + v*n**3 + h*n**2 and give v.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 294693221 to the power of 1\/5, to the nearest integer?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*c + 2*s - 2555, -23*s = -3*c - 28*s + 1552. Calculate the remainder when c is divided by 85.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1)\/30)\/(11\/(1265\/(-46))).\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4\/7? (a) 1 (b) -10 (c) -3\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 269629?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32*h - 2079 = 961. Calculate the smallest common multiple of h and 19.\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-2)\/2)\/(23\/(-828)). Let p be (-4 + 5\/2)*j. Let w = -27 - p. What are the prime factors of w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-12)\/(-15) - 301\/420. Let r(j) be the second derivative of 0*j**2 - q*j**4 - 1\/6*j**3 + 0 - j. Determine r(-3).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 31 divided by -353657\nAnswer: -31\/353657","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 4 (b) 3.8 (c) 75\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 101\/4 and 11\/8993896.\nAnswer: 8993896","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -14960 to the nearest one hundred.\nAnswer: -15000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -9*a + 6 + 12. Suppose 3*z + 0*z + 5*u = 2543, a*z = -u + 1700. Is z prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2266?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 108 - 107. Solve q = 2*y, y = -z - 1 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is b in 5*b**5 - 2395*b**4 + 214340*b**3 + 35632800*b**2 - 3222828000*b - 263845890000 = 0?\nAnswer: -77, -74, 210","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 9, 15, 21, 27, 33, 39?\n\"Answer: 6*x + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/3? (a) 0.4 (b) 3 (c) -948 (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1065265*b**2*z**3 + 11*b**2 + 15*b*z**3 + 2*b*z**2 + 20*b*z - 16*b + 3*z**2 + 9*z wrt b?\nAnswer: -2130530*z**3 + 22","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/3? (a) 6.068 (b) -1\/2 (c) 1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.02 (b) 5 (c) 1 (d) -1\/88 (e) -0.3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 2, c: 1, q: 2}. What is prob of sequence tc?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2\/9 or -18?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 70\/(-72) - (-3 + 250\/90)\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -34*q - 3. Let a(x) = x - 2. Give a(h) - o(h).\nAnswer: 35*h + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -16, 3, 38, 95, 180, 299, 458?\nAnswer: 663","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2139625?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence eb when two letters picked without replacement from bbbe.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1152245505.9497211 + -50.0502789. Let r = q - -1152245569.99999986. Let n = 14 - r. What is n rounded to seven decimal places?\nAnswer: 0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 38204722?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*p = 1608 - 1727 for p.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n - 26 = -5*z + n, -2*n = z - 10. Let o(r) = r + 3. Determine o(z).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n = -5*k, -4*k + k + 5 = -4*n. Let x = 18.5 + 19.1. Let m = 38 - x. Which is the third biggest value? (a) k (b) m (c) 19\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 212 is divided by 152?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 375 (base 8) in base 2?\nAnswer: 11111101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 12510076 to the nearest integer?\nAnswer: 3537","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 28 take away 6.08369463?\nAnswer: 21.91630537","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*v + 4 + 2 = 0 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -33 - -36. Solve k = b*k - 8 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-n**3 + 0*n**3 + 3*n**3)*(5 - 5 + 2) - 12*n**3 - 30*n**3 - 6*n + 8*n.\nAnswer: -38*n**3 + 2*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -36\/55 and -41\/14.\nAnswer: 770","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12 + -23 + -4 + 10.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = 2*s**3 - 23*s**2 - 42*s + 44. Let h be a(13). Suppose -3*w + 100 = 2*w. Suppose -7*o = -2*o - w. Solve h*z = 2*k + 14, o*k + 3*z = -k + 27 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -298 - -298. Solve q = -5*l + 6*l + 2 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) 4\/9 (b) 30941 (c) 0.2 (d) 3\/28\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*l = 4*s + 16, 0*s = -2*s - l + 7 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -113243412 (base 5) in base 12?\nAnswer: -2138a1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = 92*p - 41. Let b(z) = -7*z. What is b(m(f))?\nAnswer: -644*f + 287","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 12609 minus -31295?\nAnswer: 43904","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -j**2 - 21*j + 72. Let l be n(-33). Suppose -2*o - 5*q + 936 = 0, -3*o + 3*q + 1404 = -0*o. Let d = l + o. List the prime factors of d.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 3, x: 4, a: 1, w: 3, q: 3, z: 1}. Give prob of picking 1 x, 1 q, and 1 z.\nAnswer: 12\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-336)\/36*(-24)\/14. Solve 3*h - 18 = 5*s + 17, -r = 4*s for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 533\/64 equal to -2\/33?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -13 - -37. Let d = 6.1 - 25.1. Let o = d + m. Which is the nearest to 4? (a) o (b) -2\/11 (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v - 12 = 11. Suppose -8*k + v - 23 = 0. Suppose k = 2*i - 281 - 249. What is the hundreds digit of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 756939\/44 + -17201. What is the common denominator of (28\/(-30))\/((-4)\/(-5)) and w?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is y in 2*y**3\/21 - 428*y**2\/21 - 2*y\/21 + 428\/21 = 0?\nAnswer: -1, 1, 214","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 132310 (base 4) in base 14?\nAnswer: a0c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5913820?\nAnswer: 2, 5, 11, 26881","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1191877 is divided by 90.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express -64 - 27*p**2 + 35 + 29 as l*p**2 + w*p + m and give l.\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) be the second derivative of 5*v**4\/12 + 3625*v**3\/3 + 2628125*v**2\/2 - 11*v + 1. Factor y(h).\nAnswer: 5*(h + 725)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*n**5 - 893105*n**4 - 8037535*n**3 + 893105*n**2 + 8037540*n = 0 for n.\nAnswer: -178612, -9, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 11, 51, 161, 377, 735, 1271, 2021, 3021?\nAnswer: 4307","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -60264, -60390, -60516, -60642, -60768?\nAnswer: -60894","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g = k - 5, -19 + 0 = -2*k + g. Let o(h) = h**2 + 15*h + 23. Is o(k) a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 52827\/6 + (-48)\/(-72)*6\/(-8)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -b**2 - 4*b + 2. Let f be j(0). Suppose m = 4*h - 6, -f*h - h - 2 = -4*m. Solve -m*d + 9 = -5*d for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1 + 3. Solve 3*d + z = 5*d for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 360\/(-315) + 3\/(-14)*-122?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 332 divided by 44.\nAnswer: 83\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = 7*p**3 + 246*p**2 - 45*p + 19. Is x(-35) a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 - 57 - (-79 + 78)) + 0 + 13.\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = 4*z - 1. Let w be t(4). Calculate the remainder when 17 is divided by w - 8 - 2*1.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3117 = -1229*w - 5486 for w.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-6)*n**(2\/5))**10 assuming n is positive.\nAnswer: n**(-56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 65.3 + -1.3. Let w = l + -64.2. Let p = 0.3 - w. Which is the nearest to 0.1? (a) -7 (b) 0.2 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**6\/(j*j**(-1\/5)\/j))\/(j**(-6)*j**(5\/4)\/j) assuming j is positive.\nAnswer: j**(239\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 1841291724?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -439a2498 + -5?\nAnswer: -439a24a1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put -165387, -7, -4 in decreasing order.\nAnswer: -4, -7, -165387","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*n - 3*n - n**4 + (-3 + 3 - n)*(-6*n**3 - 9*n**3 + 7*n**3).\nAnswer: 7*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 482 minutes after 7:43 AM?\nAnswer: 3:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = 6*q**2 + 5*q + 5. Let o(m) = -2*m**2 - m - 1. Let t(z) = -30*o(z) - 6*s(z). Let b(f) = 3*f. Calculate t(b(a)).\nAnswer: 216*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.8 - -96.\nAnswer: 95.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-480)\/(-104))\/((20\/130)\/1).\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -39*c - 1235. Let q be p(-35). What is the greatest common divisor of 30 and q?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -j**3 + j**2 + 2. Suppose -6 = 4*b + 2, -v + 5*b = 4. Let x be (-30)\/v + (-7)\/49. Determine p(x).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4640? (a) 2 (b) 2\/15 (c) -0.3 (d) -2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 5 - 2)*(-2*v - v + 5*v + (-3 + 0 + 2)*(-6*v + 2*v + 3*v) + 4 + 2*v - 4 + 2*v - 1 + 1).\nAnswer: 7*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (18\/280)\/((-75)\/70*(-276)\/(-345)).\nAnswer: -3\/40","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -11.0186539 bigger than 2\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2 - 1. Let z(u) = -1 + 0 - 2*u + 0*u + 4*u. Calculate z(f).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j = 0, -q + j - 10 = 4*q. Let v = q + 4. Find the second derivative of -c**4 - c - c**2 + c**v + 0*c**2 wrt c.\nAnswer: -12*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.519168773 rounded to 3 decimal places?\nAnswer: -2.519","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -213 - -10?\nAnswer: -203","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) be the first derivative of -1\/3*h**3 - 16 + 0*h - 2*h**2 - h**4. Let o be 8\/(-20) - (-16)\/(-10). Let f(x) = -3*x**3 - 3*x. Give o*g(c) + 3*f(c).\nAnswer: -c**3 + 2*c**2 - c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 46*v + 459 = 63*v. Suppose -5*d - 2*n + 594 = -122, 4*d = -5*n + 566. What is the remainder when d is divided by v?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 9 times 38430\nAnswer: 345870","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*a = 4*c + 7, 39*c - 36*c = 5*a + 2 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = 2*w + 32. Calculate the least common multiple of t(-5) and 2.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4 or -20290?\nAnswer: -20290","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 156882 to the nearest integer?\nAnswer: 396","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (14 - 9 - 8) + 8. Solve b*k - 4*f + 0*f + 26 = 0, 0 = 3*k + f + 2 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 167 a factor of 477757608?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-6)\/(-36))\/(40\/144)?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -q**2 + 5*q - 6. Let x be 8*(-2)\/(4*-2). Let i be y(x). Suppose -4*u = -4*g - 3180, -1584 = -2*u + 5*g - i*g. Is u a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -w + 28. Is u(6) a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = j**3 + 6*j**2 + 5*j + 3. Give b(-5).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2 + 11011?\nAnswer: 11020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.037550698 to three dps.\nAnswer: 0.038","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.2 (b) -41 (c) 1443.8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:06 PM and 8:13 PM?\nAnswer: 367","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.03? (a) -4\/5 (b) 57 (c) 0.09 (d) -1\/58 (e) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -u**3 + u**2 + u + 10. Suppose -i - 2 = -4*p, 5*p + 4*i + 8 = 4*p. What is r(p)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.39335 and -4978555.\nAnswer: -4978554.60665","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) be the first derivative of p**2\/2 + 24*p - 2. Let w(i) = -3*i**2 + 94. What is the remainder when w(0) is divided by v(0)?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -91 - -61. Calculate the common denominator of ((-1)\/6)\/(b\/351) and -73\/4.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = 23*t + 18. Let s(w) = -20*w - 15. Let c(y) = 6*s(y) + 5*z(y). Let h(b) be the second derivative of -14*b**3\/3 - 12*b - 2. Give h(c(v)).\nAnswer: 140*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = 2053*y. Let g(a) = 6158*a + 1. Let w(v) = -6*g(v) + 17*x(v). Let u be w(6). Let m be (-8)\/2 + u\/8. What is m rounded to the nearest one thousand?\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*b - 5*b = 4*c - 11, -2*c + 2*b + 28 = 0. Let n = 73 - 38. Calculate the remainder when n is divided by c.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = 12*g**2 - 602*g + 111. Calculate n(50).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5462207 is divided by 22025.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*a - 4*a + 4*d - 52, 0 = 4*a - 5*d - 52. Suppose -8 = -4*y - 4*t, -a = 2*y - 7*y + 3*t. Solve 6 = -y*z - 9 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) be the third derivative of 11*x**5\/60 + x**3 + 11*x**2. What is the derivative of q(o) wrt o?\nAnswer: 22*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + 0*u + 2*x + 4 = 0, x = -4*u + 3. What is the nearest to 0 in u, 20, 0, -5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) be the third derivative of -c**6\/24 + 67*c**5\/60 + 829*c**4\/24 + 219*c**2. What is the second derivative of f(h) wrt h?\nAnswer: -30*h + 134","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + 2*z = -210, -z - 420 = 30*d - 32*d. Let n = d + -3146\/15. Calculate the common denominator of n and -85\/6.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}