diff --git "a/data/dm_maths/full_data_1/2567_11255.jsonl" "b/data/dm_maths/full_data_1/2567_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data_1/2567_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Find the third derivative of -155*s**4 - 169*s**2.\nAnswer: -3720*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 57 - 55. Let h(o) = -o**3 + 6*o**2 + 9*o - 11. Let w be h(-2). What is the closest to l in -4\/7, -0.1, w, -0.4?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 19, 78, 177, 316, 495, 714?\nAnswer: 973","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-2)\/(-3))\/(6\/9). Which is greater: 6\/95 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -u**2\/4 - 311*u\/4 + 2445\/2 = 0. Calculate u.\nAnswer: -326, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) be the second derivative of 1041*i**5\/40 + 87*i**4 + 351*i**3\/4 + 3*i**2\/2 - 5461*i. Factor j(y).\nAnswer: 3*(y + 1)**2*(347*y + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -17816830 rounded to the nearest one hundred thousand?\nAnswer: -17800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 1223513 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -77 + 77. Solve -2*l - 3*l = c for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5941743 is divided by 270079.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -65, -1, -4, -5, -89, 5 in descending order.\nAnswer: 5, -1, -3, -4, -5, -65, -89","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x + 3*l - 6860 = 0, -11699 = -4*x + 4*l + 15645. Is x a multiple of 86?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2 + 1. Is (x + 3)\/((-6)\/(-267)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**0)**11*q*(q**(-4\/11)*q*q)\/q*q*q**(-13))**(33\/4) assuming q is positive.\nAnswer: q**(-171\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 41.17722 seconds to microseconds.\nAnswer: 41177220","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (20\/210)\/(10\/6*104\/260)?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 18 - 18.0000004. What is t rounded to seven dps?\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = m**2 + 14*m - 85. Suppose u = 5*n + 101, 0 = 2*n + 4*u - 9 + 45. List the prime factors of w(n).\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1\/4, 2.8838, 2022?\nAnswer: 2.8838","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -8*p**2 - p + 3. Let b(l) = 29*l**2 + 71*l - 4. What is b(f) + 4*r(f)?\nAnswer: -3*f**2 + 67*f + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -92269, -92268, -92267, -92266?\nAnswer: -92265","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0139152 plus -5?\nAnswer: -5.0139152","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 + (-5)\/1 - -4?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 27 + -14 + 9 - (-7 - -15)?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -28\/51 or -2?\nAnswer: -28\/51","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 113 is divided by 53.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 1355098769 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -1731a43 + a?\nAnswer: -1731a35","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -41\/11335380 and 29\/7115640?\nAnswer: 974842680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-2)\/78*-10*(-435)\/(-725). Suppose -4*l + 8 = -0*l. Let j be -74*(-1)\/(-12) + 1\/(-3). Which is the biggest value? (a) l (b) j (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -225 - 1000?\nAnswer: -1225","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 696*t + 3434 = 104*t - 5847 - 1375 for t.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-14*q**2 - 8*q + 8*q)*(0 - 7 + 4) to the form y*q + z*q**2 + u and give z.\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 0, -28, -116, -288, -568?\nAnswer: -980","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.07 - -0.82.\nAnswer: 0.75","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 74 greater than 592778\/8139?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide -40899648 by 12.\nAnswer: -3408304","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -7 + 10. Suppose c + 0*m + 5*m = 8, c - q*m = -8. Put c, 5, -1 in descending order.\nAnswer: 5, -1, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 15, 24, -1 in ascending order.\nAnswer: -1, 15, 24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide 73807872 by -83968.\nAnswer: -879","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -3252744 divided by -2664?\nAnswer: 1221","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 o when four letters picked without replacement from qqooooooooo.\nAnswer: 21\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 1898, 3798, 5698?\n\"Answer: 1900*l - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -122 - 123 + 52 - 5*o + 33.\nAnswer: -5*o - 160","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -10*h - 12. Is 6 a factor of t(-6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 120851 is divided by 88.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w - 12 = -3*s, 3*s + 7*w = 2*w + 22. Which is the second smallest value? (a) -2\/5 (b) s (c) -19 (d) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 0\/(-5) - 10\/(-2). Suppose z - f*k + 82 = 4*z, 4*k = -16. What is the units digit of z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -57*f + 48*f + 45*f + 82*f = 0 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -30639161*z**2. Let d(m) = -m**2. What is d(p(a))?\nAnswer: -938758186783921*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) be the second derivative of n**6\/840 + 11*n**5\/140 + 121*n**4\/56 + 5*n**3 + 31*n. Let b(y) be the second derivative of d(y). Factor b(w).\nAnswer: 3*(w + 11)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = 27*r + 91. Suppose -9*q + 11 = -11*q - b, 0 = 2*q - b + 1. Let d be a(q). Solve 2*u + 14 = d for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 1, k: 3, f: 1, b: 1, e: 1}. What is prob of picking 1 k, 1 y, and 1 f?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 0.1 times -0.029\nAnswer: -0.0029","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (65\/15)\/((-2)\/6) + 640\/48. Factor -2*r**2 + 0*r + 0 + 0*r**4 + j*r**5 - 7\/3*r**3.\nAnswer: r**2*(r - 3)*(r + 1)*(r + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 20 + (10 + 33 - 39) + 60\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = 42*w - 168. Calculate n(4).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 120, 241, 362, 483?\n\"Answer: 121*u - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*a**2 + a - 2 + 3*a - a + a.\nAnswer: -2*(a - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = r**3 - r**2. Let j(v) = -6*v**3 + 3*v**2 + v + 2. Let n(x) = 3*j(x) + 15*q(x). Factor n(o).\nAnswer: -3*(o - 1)*(o + 1)*(o + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 198\/(-66)*(-3)\/((-9)\/8)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4443 = -2007*a - 24423 - 51601 + 11371 for a.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is -256 equal to 8?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) be the second derivative of n**7\/5 - 4*n**4\/3 - 13*n**2 - 30*n. Let u(i) be the first derivative of f(i). What is the second derivative of u(w) wrt w?\nAnswer: 504*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 49906271 is divided by 1928?\nAnswer: 1919","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.2 (b) 3\/7 (c) -0.1 (d) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Add together 840 and 0.083215.\nAnswer: 840.083215","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*l**3 + 0*l**3 + 13*l**3.\nAnswer: 2*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3 = 3*s + 3*g, 11*s = 7*s - 5*g + 9 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -3*x + 3. Suppose -1 = 3*o + 14. Let f be 0 - (-3 - -2 - o). Let z = -2 - f. Determine n(z).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = 2*h + 3*p, -3*h + p = -0*p + 1. Let b = h + 3. Solve -5*f - 30 + 12 = 2*o, -b*o - 12 = 2*f for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16134.\nAnswer: 2, 3, 2689","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.199692893 != 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nunuunuynyyn. Give prob of picking 3 u and 1 y.\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 8917553 to the power of 1\/9, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 a and 1 f when four letters picked without replacement from {f: 4, a: 7}.\nAnswer: 14\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 19\/278 + 7787\/973. What is the common denominator of b and 103\/18?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -83, -205, -395, -653, -979, -1373?\n\"Answer: -34*x**2 - 20*x - 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*g + 285 = 3*g. Let q be 19\/g*(0 + 0\/(-1)). Factor -2\/5*b**2 + q + 0*b.\nAnswer: -2*b**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -13*d**2 - 3*d + 125. Let k(x) = 37*x**2 + 8*x - 374. Determine 6*k(j) + 17*t(j).\nAnswer: j**2 - 3*j - 119","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (-20)\/(-225)*395\/(-158)\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -p**3 + 2*p**2 + 24*p + 5. Let g be u(6). Suppose -5*w + g*h = -1930, -h = -3*w + 1610 - 454. What is the tens digit of w?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*((-3*sqrt(2299) + sqrt(2299))*5 + sqrt(2299) + 3))**2.\nAnswer: -5346*sqrt(19) + 1676052","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -17170 + -3?\nAnswer: -17173","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-285)\/12 - 4\/16. Let o = 34 + n. Is 10 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + sqrt(11))*-4 - (1 + sqrt(11))*3.\nAnswer: -7*sqrt(11) - 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -74854*n + 823391. Calculate q(11).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-2)\/4*1)\/((-2)\/12). Suppose b - 1 = a. Suppose 0*i - b*i + 5*o + 581 = 0, 0 = -4*i - 4*o + 608. Is i a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -103 in 1\/105, -12, -2\/5?\nAnswer: -12","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1 - -1. Let u = 193 + -190. Suppose 0 = c + f, 2*f + 0*f + 20 = 2*c. What is the closest to q in u, 0.5, c?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 973054203?\nAnswer: 3, 11, 179, 164729","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 618.49 + -616. Let c = b + -0.29. Let x = c - 2.198. Round x to two decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -s**3 - 4*s**2 - 6*s. Let k be (-3)\/(-2)*12\/2. Suppose -3*l - k = 6. Let v be o(l). What is the greatest common divisor of v and 22?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00243804362 to 6 dps.\nAnswer: -0.002438","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -12, 1, 20, 45, 76?\n\"Answer: 3*p**2 + 4*p - 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1534 - 3129\/2. Find the common denominator of a and 75\/8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -562 + -5?\nAnswer: -567","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 858 and 154.\nAnswer: 6006","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z + 2 = -0*z. Suppose -z*v + 1805 = 3*v. Suppose -v + 7361 = w. What is w 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 hundreds digit of 995?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 105 - 101. What is the remainder when (3\/y)\/(-4 + 29832\/7456) is divided by 70?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.5, 823\/2, -86.67 in increasing order.\nAnswer: -86.67, 0.5, 823\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10779827 is divided by 40223?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (13525770\/72)\/((-2)\/(8\/(-22))). Let i = -34157 + g. Find the common denominator of i and -137\/60.\nAnswer: 660","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = 4*i**2 - 9*i + 11. Let d(m) = -3*m**2 - 6*m**2 - 6 + 7*m**2 + 61*m - 22*m - 34*m. Determine 5*d(s) + 3*l(s).\nAnswer: 2*s**2 - 2*s + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k\/k**(-1\/4))\/(k**(2\/17)*k))\/(k**(-1\/3)*k**(1\/4)\/k)*(k**(-2\/3)\/k)**(-7)*((k*k**5)\/k)\/k*k**(-2\/15) assuming k is positive.\nAnswer: k**(4271\/255)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 748?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*d + 1 = -2*k - 10, 2*d + 10 = 2*k for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(-3 + sqrt(243)*-2) + 4.\nAnswer: -108*sqrt(3) - 14","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 16441788?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: Let a = 1631 + -1626. Let o(k) = 2*k. Let n(s) = 4*s + 1. Let z = -28 - -15. Let x(b) = z*o(b) + 6*n(b). Determine x(a).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(1215) + sqrt(15))\/sqrt(3).\nAnswer: 19*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = y**3 + 3*y**2 + 2*y + 3. What is f(-2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*a**2 - 96*a - 320 = 0.\nAnswer: -20, -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -9, 11, 0, -4545, -5, -4 in decreasing order.\nAnswer: 11, 0, -4, -5, -9, -4545","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 4920 + -4734. What is the least common multiple of d and 155?\nAnswer: 930","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 83 a factor of 8030?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 95677316.6+-10.494\nAnswer: 95677306.106","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 3451475 to the power of 1\/2, to the nearest integer?\nAnswer: 1858","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 88839953?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by 134.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*b**5 + 2 + 4*b - 8*b**3 + 4*b**4 - 8*b**2 - b**5 + 2.\nAnswer: 4*(b - 1)**2*(b + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 486997.5m to micrometers.\nAnswer: 486997500000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 9*g - 14 - 4. Suppose 2*d - 23 = 3*k, 5*k - 12 - 19 = -d. Suppose -m + 4*m + d = -g*r, 0 = -2*r - m - 20. Which is greater: r or -10?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5 take away 0.1390095?\nAnswer: -0.6390095","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 33453283 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 457 minutes before 10:10 PM?\nAnswer: 2:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v = 3, -3*v + 8 = 3*z - 10. Suppose -n + z - 5 = 0. What is the units digit of 1\/n*-4 - -10?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1 + 22100?\nAnswer: 22033","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 3032667331?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) be the first derivative of 47*o**6\/6 + o**2\/2 - 10*o + 8. Find the second derivative of s(j) wrt j.\nAnswer: 940*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 524*q + 311*q = -445*q - 19200 for q.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -25 - (5 - -5) - 9. Let p be ((-47)\/1)\/(-1 + 0). Let i = h + p. Solve -v = -i*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.05 + -25.05. Let g = h - -25.3. Sort -4, g, 2, 1 in descending order.\nAnswer: 2, 1, g, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5966*l**2 + 5960*l**2 + 1865*l + 541*l - 174*l - 190*l.\nAnswer: -6*l**2 + 2042*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 18255381 is divided by 116?\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -1c - 108?\nAnswer: -127","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 2 - -a?\nAnswer: c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 296310?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -30 - -40. Suppose 3*x - l = -34. Let k(f) = f**3 + 7*f**2 - 8*f + 5. Let b be k(x). Solve -3*w + b*d = d + 18, 3 = d for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -5*o. Let k(c) be the first derivative of 50*c**3\/3 + 15. Give k(u(s)).\nAnswer: 1250*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1190*c = 1194*c - 2776. Calculate the remainder when c is divided by 24.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 50 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*b + 180 = -0*b. Let w be 1 + 1*(13 + 1). Calculate the greatest common divisor of w and b.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = n**2 - 3*n + 4. Let h be u(3). Suppose h*g - o = 850, -2*g - 3*g = -o - 1062. Suppose 4*f - g - 28 = 0. Is f a multiple of 32?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 775 + -779. What is the nearest to 1\/4 in 5, 1\/7, -2\/9, h?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -160*b**2*g**2*z**2 + 90*b**2*z**3 + 2*b*g**2*z**2 - b*g*z + 6*g**2 - 208*g*z**3 wrt b?\nAnswer: -320*g**2*z**2 + 180*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 = 4*c - 5*c. List the prime factors of (-1*(0 - -66))\/(c\/(-81)).\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -31*r = -973*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 62*z + 75*z + 93*z - 35*z.\nAnswer: 195*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*-4*sqrt(91))\/((1*sqrt(35) + sqrt(35))\/sqrt(5)).\nAnswer: -12*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = 5*y - 2. Let r(m) = m. Let w(f) = -c(f) + 4*r(f). Let a be 2\/2*(2 - 2). What is the units digit of w(a)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.2 (b) -2.17 (c) -1\/8 (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 4560 and 372182640?\nAnswer: 4560","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -52, -0.03.\nAnswer: -52, -3, -0.03","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 800918.3 centuries to decades.\nAnswer: 8009183","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5 + -3 + -1 + sqrt(832) + -1)*-6 + -2)**2*2*1.\nAnswer: 384*sqrt(13) + 59912","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 0.5 * 124\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -88541 - 20643 - 12684 = -4*b. Is b composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3778067465.\nAnswer: 5, 3929, 192317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3 or -2060\/1131?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -p + 1. Let b(v) = 4*v**3 - 3*v**2 + 8*v - 8. Let a(o) = b(o) + 6*w(o). What are the prime factors of a(2)?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 2503 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*r - 0*z + 4*z - 12, 580*r - 577*r - z + 11 = 0 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -19 + 24 - 120*f**3 + 74 + 37 wrt f?\nAnswer: -360*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5021256 divided by -408\nAnswer: 12307","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ppiiiiidiidc. What is prob of picking 1 p, 1 d, and 1 c?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -953 = -5*r + 3*u, 2*u - u = -3*r + 583. Let b = -30 + r. List the prime factors of b.\nAnswer: 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4015 + 7*r**2 - 4015.\nAnswer: 7*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o + 2 = 0, -2*p - p + 4*o + 98 = 0. Let i = -6 + 51. Calculate the greatest common divisor of i and p.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-72)\/35 - (-1 + -1). Let s be (1 - (-4)\/(-5))\/((-544)\/(-680)). Which is bigger: v or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fakfafaaaakff. Give prob of picking 2 f.\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 517594560?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 14 + -34 - (-8*(-5)\/30*-3 - -4)\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 - 3 + 6)*(-5 - 1 - 4)*(s**2 - 2*s**2 + 0*s**2 + (s - 5*s + 2*s)*(-4 + 4 + 2*s))*(2 - 4 + 4) in the form z*s + w*s**2 + x and give z.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -4930*c**4*t**3 - 2*t**3 + 382*t**2 - 5 wrt c.\nAnswer: -19720*c**3*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1980 divided by 55.\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -262, -1000, -2234, -3964, -6190?\nAnswer: -8912","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = 602109*p. Let w(m) = -61*m. Give w(k(u)).\nAnswer: -36728649*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-972)\/(-351) + (-256113)\/1859?\nAnswer: -135","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -2*h**2. Let l(z) = 59*z**2 - 5*z - 5. Let f(q) = 1504*q**2 - 128*q - 128. Let r(x) = -5*f(x) + 128*l(x). Determine a(r(u)).\nAnswer: -2048*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 80 - 76. What is the smallest value in -3, -1\/2, p, -3\/5?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 - (-21 - (4 - (12 + 5))) - -39.\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 6\/15 - 348\/(-5). Calculate the highest common factor of 14 and p.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 114973.5426845 take away 27.1?\nAnswer: 114946.4426845","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = 14*h**2. Let x(b) = 9*b**2. Let t(l) be the second derivative of -13*l**4\/12 + 4*l. Let v(r) = 5*t(r) + 7*x(r). Calculate o(v(m)).\nAnswer: 56*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Are -2 and -6 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 43985 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -317688949 and -5?\nAnswer: 317688944","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 0 - 11)*(s**4 - s**4 + 2*s**4).\nAnswer: -18*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 31 (b) -3.6 (c) -4 (d) 0.5 (e) -87\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -o**3 + 5*o**2 - 5*o + 10. Let u be z(3). Let l be -3 - u\/(-4) - 9\/24. Which is the fourth biggest value? (a) 2\/9 (b) 5 (c) -0.5 (d) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0002634870863 rounded to 6 dps?\nAnswer: -0.000263","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (616\/4004)\/((2 + -3)\/1 - 0).\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 4521 and 594443?\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 2.4150439 to 2 decimal places.\nAnswer: 2.42","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -1664, -3356, -5048, -6740, -8432, -10124?\n\"Answer: -1692*d + 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.2 - 0.8. Let x = -9 + 4. Let l = v - x. Which is the biggest value? (a) 3\/5 (b) l (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -m - 4*m + 3*m - 2*m**2 + (-2 + 2*m + 2)*(-185 - 15 - 153)*(4*m - 6*m + m).\nAnswer: 704*m**2 - 2*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -9 and 0.123.\nAnswer: -1.107","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: ((-48)\/(-21))\/((4\/(-10))\/((-10052)\/1795))\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 b when two letters picked without replacement from {b: 4, s: 15}?\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -7541*c - 3006*c + 580085 for c.\nAnswer: 55","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 + 19 = -5*l. Which is the closest to 1\/2? (a) 2\/3 (b) -1 (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = z**3 - 6*z**2 - 3*z + 3. Suppose 15*o - 4*o - 219 = -186. Let x(q) = 7*q**2 + 4*q - 4. What is o*x(k) + 4*w(k)?\nAnswer: 4*k**3 - 3*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 129088 to the nearest one thousand.\nAnswer: 129000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 11618 and 222?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:54 AM and 8:00 AM?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0 - 0. Suppose 2*n - 5*n - 2*v + 5 = d, 5 = 5*n + 5*v. What is the units digit of n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -7 - -13. Let p be -1*10 - (-3 - -2). Let q(d) = -d**2 - 10*d - 3. Let v be q(p). Solve h = -3*z + v*z for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o**(-2)*(o*o\/o**11*o*o)\/o*o assuming o is positive.\nAnswer: o**(-9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 56 and 12?\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 8\/25 of a gram?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (41\/(1845\/(-945)))\/(-3).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (g**2 - 9*g**2 - 5*g**2 - g**2 + 0 + 0 + (2*g + 1 - 1)*(2*g - 2 + 2) + 2*g**2 - 2*g**2 + 2*g**2)*(3*g - 2*g + g).\nAnswer: -16*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a**(-2)\/(a*a\/(a\/(a\/((a*a*a*a*a*a*(a\/(a\/a**(-3\/2)))\/a*a)\/a))))*a\/(a**(-10)*a)*a*a**(1\/7) assuming a is positive.\nAnswer: a**(149\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -5*g. Let s(l) = -4*l**2 + 467*l + 36. What is r(s(h))?\nAnswer: 20*h**2 - 2335*h - 180","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 179?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 128 a factor of 19750180?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 64 - 31. What is the highest common factor of l and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) be the first derivative of i**7 + 11*i**6\/6 + i**3\/3 + 18*i**2 + 212. Find the third derivative of g(z) wrt z.\nAnswer: 840*z**3 + 660*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14542*i - 14541*i + v - 20 = 0, 3*i - 4*v = -115 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 189794 and -24?\nAnswer: 189818","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 2897 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -3327120.59 to the nearest 1000.\nAnswer: -3327000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -59*u**2 - u - 2. Let x be f(-2). Let j = -351 - x. Let k = j + 340\/3. Find the common denominator of -26\/7 and k.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 295 divided by -59\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 132 - 62. Suppose 0 = -4*c + 2*t + 206, -4*t = -3*c + j + 72. What is the common denominator of 121\/36 and (-48)\/c*17*(-9)\/30?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8\/(-36)*-3 + 40\/(-15)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let -287*g**3\/3 - 28405*g**2\/3 + 313622*g\/3 - 8720\/3 = 0. Calculate g.\nAnswer: -109, 8\/287, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -99*v**2 + 1008*v + 884. Calculate h(11).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -40318 + 40364.894. Let z = 508 - 461. Let v = z - m. What is v rounded to 2 decimal places?\nAnswer: 0.11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2856721219.\nAnswer: 11, 259701929","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 y when two letters picked without replacement from ylvvly?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(152)*-3)\/((-2*sqrt(648) - sqrt(648)) + sqrt(648)))**2.\nAnswer: 19\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-2)\/(-4) - (-1719)\/18 is divided by 27*1 - (-132 - -122).\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*((1*(sqrt(153) + 3))**2 - (sqrt(153)*-1*2)**2 - (5*(-2 + (-1*sqrt(153) - sqrt(153)))*1)**2).\nAnswer: 1746*sqrt(17) + 47550","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.2146 + -0.0284. Let m = -110.757 + v. Let n = m - -110.9907. Round n to three dps.\nAnswer: -0.009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 163395 and 90?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -28*h**2 - 2*h. Let q(k) = 3*k - 12. Give n(q(o)).\nAnswer: -252*o**2 + 2010*o - 4008","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) be the first derivative of 2*s**5\/85 + 3*s**4\/17 + 26*s**3\/51 + 12*s**2\/17 + 8*s\/17 - 38. Factor b(h).\nAnswer: 2*(h + 1)**2*(h + 2)**2\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*m - 14*m = 0 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 + 0 = -9*s. Suppose s*b - 288 = -4*b. Suppose b = 6*v - 72. What is the tens digit of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1710*h + 4910*h + 8891*h + 2845*h + 107*h)*(-3 - 1 + 6) to v + z*h and give z.\nAnswer: 36926","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -u**3 - 7*u**2 - 6*u + 8. Let y be -6*((-9)\/(-54) + 10\/12). Calculate h(y).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 42 minutes before 2:38 PM?\nAnswer: 1:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -1916577, -1916566, -1916555, -1916544, -1916533, -1916522?\n\"Answer: 11*t - 1916588","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -103 + 79 - 147 - 4 - 8*n - 2*n. Determine k(-18).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -31 + 54. Suppose -2*m - r = -7*m - a, 7 = 4*m - 3*a. Suppose 3*j - m*w - w = 77, -5*w = -4*j + 106. Is 12 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1724337874.\nAnswer: 2, 7, 61, 2019131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -109, -620, -1473, -2668, -4205, -6084?\nAnswer: -8305","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 152 is divided by 39?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 7, w: 6}. What is prob of sequence ffff?\nAnswer: 7\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h + 139 = -b - 72, b = 4*h + 176. Let y = 23531 - 165019\/7. Let m = h - y. Which is greater: -3 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -19 + 19. Let v(l) = l**3 - 8*l**2 + 7*l + 5. Let h be v(7). Suppose -d = -h*d + 76. Solve -28 = 2*u - 4*s, u - 3*s = -z*s - d for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = 6146*k**3 - 7*k**2 - 1415*k - 7. Let w(j) = -2045*j**3 + 2*j**2 + 471*j + 2. Let y(z) = 2*v(z) + 7*w(z). Find the second derivative of y(b) wrt b.\nAnswer: -12138*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 56 and 1299732?\nAnswer: 2599464","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 268*a**2*v**3 + 2*a**2*v + 7*a*v**3 - 16*a*v - 8*a + v wrt v.\nAnswer: 1608*a**2*v + 42*a*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (10 - (1 - 1)) + (-51 + 2 - (-585 - -575))?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -2*g**3 + 3*g**2 + 2*g + 3. Calculate z(3).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 28 - 20. Is 10 a factor of -1*(-60)\/8*u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2918692043 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 401724.2kg?\nAnswer: 401724200000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*sqrt(68)\/(sqrt(4)*-1)*4 - (6*sqrt(17)*1 + sqrt(153)*-3 + sqrt(153)).\nAnswer: -4*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 68910320099 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -40*l**2*m**4 - 2*l**2 + 18*m**4 - 1003*m**2 wrt m?\nAnswer: -960*l**2*m + 432*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + (2*(sqrt(1088) - (sqrt(1088) + -1)) + -2 + sqrt(1088) + -2 - (-1 + 1 + sqrt(1088)*-2)))**2.\nAnswer: 48*sqrt(17) + 9793","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 19, 20, 21?\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 1 + (-586)\/(-360) + (-4)\/(-10) and 103\/30?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = b**3 + 3*b**2 - b + 3. Calculate v(-3).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12 + -8 + -5 - (6 + 3)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = b**2 - 10*b. Let x(r) = -r**2 + 10*r - 22. Let q be x(6). Suppose 0 = -w - q*z, z + 7 = 2*w - 13. What is o(w)?\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 1\/5 and -438 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -266974 + 42?\nAnswer: -266932","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -1\/16, -4, -2?\nAnswer: -1\/16","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 + (-2 - -1 - -3) + 9 + -6.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w*(w\/(w\/w**(-2\/9)))\/w)\/w**0)\/(w*w\/w**(-2)*((w\/(w*w**0\/w))\/w)\/w)*(w\/w**(2\/5))**1*w**(-6)*w*w*w*w**(-2\/7) assuming w is positive.\nAnswer: w**(-1861\/315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (96\/(-57024)*-165)\/(3\/72)\nAnswer: 20\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = i**2 + i - 1. Let z(p) = 2*p**3 + 4*p**2 + 4*p - 5. Calculate -4*s(w) + z(w).\nAnswer: 2*w**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -18351.7 - -18352. What is the nearest to -36 in v, -5, 0.37?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -3*8\/(-18)*(-23715)\/10540. Let f = 6 - 4. Let o = f + -4. What is the smallest value in 3, o, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 285190764 to the nearest integer?\nAnswer: 658","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5a0 (base 14) to base 6.\nAnswer: 5104","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1965 or -80590\/41?\nAnswer: -1965","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 414703317 to the nearest integer?\nAnswer: 746","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Work out -274798 * -0.3.\nAnswer: 82439.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -3*(188\/48 - 4). Let 1\/8*n + h - 3\/8*n**2 = 0. What is n?\nAnswer: -2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -121885\/6 - -20314. Which is the nearest to 0? (a) j (b) -1.7 (c) -0.3 (d) 1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u = -3*u + g - 11, 4*u = 4*g + 4. Let o(h) be the first derivative of -28 + 48*h - 7*h**3 + 3\/4*h**u + 12*h**2. Determine z so that o(z) = 0.\nAnswer: -1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) be the first derivative of -j - 2\/3*j**2 + 8 - 1\/9*j**3. Factor i(n).\nAnswer: -(n + 1)*(n + 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*-3*(sqrt(88)*3 - sqrt(88)))\/(1*sqrt(8)*-2 + sqrt(8) - 1*(sqrt(8) + -1*sqrt(8))))**2.\nAnswer: 396","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence diqo when four letters picked without replacement from {o: 5, i: 1, b: 1, u: 4, d: 1, q: 1}.\nAnswer: 1\/3432","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) be the first derivative of -g**2\/2 - 10*g - 34. Calculate t(-10).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 2.39 and -0.185.\nAnswer: 2.205","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 134 - 134. Let b(c) be the third derivative of -1\/240*c**5 + 1\/24*c**3 - 4*c**2 + 0*c + h*c**4 + 0. Solve b(j) = 0 for j.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -2200, -18140, -61538, -146122, -285620, -493760, -784270, -1170878?\n\"Answer: -2288*h**3 - h**2 + 79*h + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 31, 40, 71, 136, 247, 416, 655?\n\"Answer: 2*k**3 - k**2 - 2*k + 32","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -23*z**3 + 15*z**2 - 11*z + 33. Let k be h(6). List the prime factors of (1\/4)\/1 - k\/12.\nAnswer: 2, 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 + -2 - (63 - 56).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -244\/5 + 991\/20. What is the nearest to n in 1\/3, -2, -1?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 71\/476 and 33\/53176.\nAnswer: 372232","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from swwzsszz. What is prob of sequence sz?\nAnswer: 9\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (-238275)\/(-2880480) + 3\/(-17)\nAnswer: -3\/32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -15 and -16203847674?\nAnswer: 16203847659","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 3 or 2270684.7?\nAnswer: 2270684.7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -72 - -80. Suppose -r*t + 3*t + 17 = 4*x, 0 = -3*x + 4*t + 5. Suppose 0 = -3*b + 2*g + 513, g + 534 = x*b + 6*g. Is 20 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-254 + 30*s**2 + 255 - 9*s**2)*(2 - 2 + 3).\nAnswer: 63*s**2 + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -4, 0, 16690486, -0.3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -4\/163, -4, 2\/15, -377103?\nAnswer: -4\/163","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is ((130\/15)\/(-13))\/((-4)\/6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2547\/221 at most as big as 11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) be the first derivative of -k**4\/4 - 8*k**3\/3 - 9*k**2\/2 - 6*k - 15. Give h(-6).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -1 - 7*y + 0*y - y - y. Calculate n(-1).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 142.8 to the nearest one hundred.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -126*t + 437. What is the tens digit of v(-7)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 407 and 229356821.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -229314, -229311, -229308, -229305, -229302, -229299?\nAnswer: -229296","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(20)\/sqrt(4)*1)**2 + (sqrt(10)\/sqrt(2)*3)**2 + (-5*((sqrt(125) - (sqrt(125) + 0)) + sqrt(125) + sqrt(125)))**2.\nAnswer: 12550","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -2*l**2 - 2*l + 2. Let q be y(-2). Let w(a) be the second derivative of a**4\/12 + a**3\/2 + a**2 - a. Calculate w(q).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-78)\/(6\/(-3)) + -2. Suppose -3*o - 8*j = -3*j + 36, 0 = -4*o + j - 48. Let q = u + o. List the prime factors of q.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 890915202?\nAnswer: 2, 3, 49495289","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -4*a**2 - 4. Give q(2).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 17016714, 34033428, 51050146, 68066868, 85083594, 102100324?\n\"Answer: 2*u**2 + 17016708*u + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-4)\/508)\/(2\/7 - (-120)\/560). Which is smaller: u or -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -1\/7, -64, -2, -1\/3, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-2)\/(-4)*(-24)\/30. Suppose u = -u. What is the nearest to u in 1\/3, -1\/10, d?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 18805117 is divided by 3799?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = 2*p + 3. Let w(u) = -8*u**3 - 3*u**2 + 3. Let d be w(-2). Let f = 49 - d. Determine r(f).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 103*c + 107*c - 2353 = -673 for c.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-40)\/30)\/((12\/(-1))\/12)?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*d + 2*d = 6. Suppose -g = -d - 4. Let k(a) = 2*a**2 - 9*a + 4. What are the prime factors of k(g)?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (222 - 542 - 374 + (-4 + 2 + 4)*(4 - 5 + 0))*(-1 + 1 - 5*g).\nAnswer: 3480*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*k - 0*k - 9. Suppose k*s = 4*s. What is the common denominator of 63\/20 and (0 - s) + (-150)\/(-8)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) -298 (b) -10 (c) 0.0838 (d) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*y + 16 = -4*y. Let u be (-5)\/(-10) - 22\/y. Let b be ((-4)\/3 - -1)*3. Which is bigger: b or u?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -6246298 less than or equal to -6246304?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put together 378 and 0.5.\nAnswer: 378.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 27? (a) 17 (b) -2.68 (c) -2 (d) -1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -0.3, -0.5, -211.4, 3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = f + 2*o - 2, -4*f + 28 = 4*o. Is f a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 + (536\/(-80) - -7))*(-1074)\/(-537)?\nAnswer: -7\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -561842324.8 to the nearest 10000.\nAnswer: -561840000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1000011 + 11?\nAnswer: -1000000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*g - 3241 = 79*g - 22963. Calculate the greatest common divisor of 13667 and g.\nAnswer: 173","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (421*z**2 - 1231*z**2 + 594*z**2)*(0*z - 2*z + 4*z)*(1 - 1 + z) - 2*z**4 - 2*z**4 + 2*z**4.\nAnswer: -434*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -2*c**2. Let l(b) = -19*b. What is v(l(n))?\nAnswer: -722*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -18, -40, -90, -180, -322, -528, -810?\n\"Answer: -2*g**3 - 2*g**2 - 2*g - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3 - 72) + 33 + 15 + -47?\nAnswer: -74","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.7890147 rounded to three dps?\nAnswer: 5.789","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (222*x - 145*x - 6 + 7)*(2*x - 3*x + 3*x) to the form r + y*x + l*x**2 and give y.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 147, 125, 103, 81, 59?\n\"Answer: -22*r + 169","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 + -5 + 6)*5.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:01 PM and 7:26 PM?\nAnswer: 25","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 86.6 - 86. Which is smaller: d or -6?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 14\/(-13)*(-884)\/1088\nAnswer: 7\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mmm. Give prob of sequence mmm.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -140404 (base 5) to base 9\nAnswer: -7765","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 300 minutes after 2:42 PM?\nAnswer: 7:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) 2\/5 (b) 5 (c) 32.124\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in fifteen quarters of a gram?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -8*22\/(1408\/(-112))?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-1)*v**(2\/3))\/(v*v**0)**44 assuming v is positive.\nAnswer: v**(-133\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 58 = -5*n + 6*n. What is the first derivative of 0 + 9 - 13 + n*z + 13 wrt z?\nAnswer: 58","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -463 = -18*i - 427 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s, 1 w, and 1 r when three letters picked without replacement from {a: 1, w: 10, s: 1, r: 3}.\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*w + 0*w - w**2)*(0*w**2 - 4*w**2 + 2*w**2) + (-8*w**2 - w**2 + 0*w**2)*(-5*w**2 + 0*w**2 + 3*w**2).\nAnswer: 20*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-344)\/(-260))\/((-1)\/(-5)). Let o = h - 654\/91. Is 1\/8 bigger than o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w = 7*c - 2*c, 0 = -c + 5*w - 12. Suppose -2*m = -13 + c, 4*m = -3*a + 80. Calculate the remainder when 58 is divided by a.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-23*u - 11*u + 4*u)*(4*u + 0*u - 3*u)*(-23 + 23 + 5*u).\nAnswer: -150*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2\/9 (b) -4 (c) -0.1 (d) -5 (e) -65.8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((b\/b**8)\/(b**0*b)*((b**(-1\/5)\/b)\/b)\/((b*b**(2\/3))\/b))**(-3\/2))**6 assuming b is positive.\nAnswer: b**(489\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) be the first derivative of c**3\/3 + 5*c**2 + 13*c + 45. What is the smallest common multiple of o(-11) and 60?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0\/(-19)*((-8)\/2)\/16?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -11 + 5. Let i be 8\/3*(-9)\/s. Find the first derivative of 5*d**i - 12*d**3 + 12*d**3 - 4 wrt d.\nAnswer: 20*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -689 in -2\/13, -2\/5, 14987?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -254.939 + -0.061. Let k = t - -254.99859. What is k rounded to four decimal places?\nAnswer: -0.0014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6942)\/(-1335)*20\/(-8).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -8*w**3 - w**2 + 1038*w + 4588?\nAnswer: -24*w**2 - 2*w + 1038","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 52513*w**2 - 24374.\nAnswer: 105026*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from aadaaadjdjajddhad. What is prob of sequence jjdh?\nAnswer: 3\/4760","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0301181992 to two decimal places.\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 1092 a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 249, 251, 251, 249?\nAnswer: 245","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 3599 to the power of 1\/3, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 4 - 7. Does 2 divide 3 + (s + 12)\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(17) - sqrt(833))*4 - (sqrt(833) + 0).\nAnswer: -31*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -10252 + 15889. Is a a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*g + 201*f - 197*f + 15, 73 = 70*g - f for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -6441923*k**5 - k**2 - 22839*k + 26?\nAnswer: -128838460*k**3 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -bc58f8 (base 16) to base 3\nAnswer: -212020010011022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a**(-1\/2)*a\/a**(-5\/3)*(a*a*a**(8\/13)*a*a*a)\/a**(-4) assuming a is positive.\nAnswer: a**(919\/78)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 62037 to the power of 1\/3, to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -66221 times 0.0583?\nAnswer: -3860.6843","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 37*x**2 - 148*x**2 + 107*x**2.\nAnswer: -4*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = 64*f - 69*f + 3 - 4 - 2. Let z = -4 - -1. Calculate p(z).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 744*b**2*z**2 - b**2 - 747*b*d*z**2 + 179513*b*d + 29*b*z + 2*z**2 wrt z.\nAnswer: 1488*b**2 - 1494*b*d + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 890147.3 litres?\nAnswer: 890147300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -18, -3, 150, -4 in increasing order.\nAnswer: -18, -4, -3, 150","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hvov when four letters picked without replacement from hohvoihpooivhiio.\nAnswer: 1\/1092","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = 34*h - 132. Let c be t(4). What is the highest common factor of 44 and c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3295656 and 6480149?\nAnswer: 6539","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1011120 - 100?\nAnswer: -1011220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = 5*a - 51. Determine j(10).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7090 is divided by 7051?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-9)\/(-18)*-3*(-24)\/(-6).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -741 + 743. Solve -7*d = -h*d - 20 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seventeen halves of a litre in millilitres?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*i**3 + 2*i**3 + 7*i**4)*(4 - 2 - 3)*(-3 + 6 - 7) in the form j + n*i**4 + z*i**3 + q*i**2 + s*i and give n.\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) be the third derivative of z**7\/210 - z**6\/45 + 7*z**5\/180 - z**4\/36 + 91*z**2. Factor x(j).\nAnswer: j*(j - 1)**2*(3*j - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*j + 358*j + 89749 - 29605 = -356*j for j.\nAnswer: -84","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = 8*l. Determine m(-7).\nAnswer: -56","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/2 of a centimeter in micrometers?\nAnswer: 35000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -310 (base 5) to base 6\nAnswer: -212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = 252*b - 252*b + b**2. Let w(s) = -2*s**2. Give -11*a(t) - 4*w(t).\nAnswer: -3*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 910156?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 22825215 to the nearest integer?\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -q**3 + 4*q**2 + 3*q + 7. What is w(5)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o*o\/(o**(2\/17)\/o))**(-8)*o**(-15)\/(o**(3\/4)*o) assuming o is positive.\nAnswer: o**(-2707\/68)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-29529 + 29529 - 999*u)*(-2*u**2 - 3*u**2 + 7*u**2) + 5*u**3 + 2*u**2 - 2*u**2.\nAnswer: -1993*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) be the third derivative of -5*b**5 - 121*b**3\/2 - 4*b**2 - 6*b. Differentiate p(z) with respect to z.\nAnswer: -600*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -216680*r**4 + 3*r**2 + 2552568*r wrt r?\nAnswer: -2600160*r**2 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + (sqrt(204) - 4*2*sqrt(204))\/(-1*sqrt(1452)))**2.\nAnswer: 56*sqrt(17)\/11 + 2769\/121","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*u + 38 = -124. Let z = u + -47. Let s be ((-12)\/z)\/((-1)\/(-10)). Solve -2*b - 4*v - s = 0, 4*v = 5*b + 5*v - 21 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2378410 divided by 21?\nAnswer: -2378410\/21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) be the second derivative of m**6\/35 - 87*m**5\/70 - m**4\/14 + 29*m**3\/7 - 101*m + 30. Factor v(d).\nAnswer: 6*d*(d - 29)*(d - 1)*(d + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -13 + 15. Find the second derivative of v*l + 0*l**5 + l - 9*l - 4*l**5 wrt l.\nAnswer: -80*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 16, d: 4}. Give prob of picking 3 m.\nAnswer: 28\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.88 in 23, 2, 1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -181\/420 and 77\/7228020.\nAnswer: 50596140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.62 + 800020.\nAnswer: 800019.38","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.1 and 6.52.\nAnswer: 6.42","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -a - 9. Let h(r) = r**3 + 7*r**2 - 7*r + 6. Let q be h(-8). Let b be q + (-1*18)\/(-3). Suppose b*n + 6 = -14. Determine d(n).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) be the first derivative of 175 - 65 - 62 + c**2. Let u(b) = -105*b. Determine u(a(p)).\nAnswer: -210*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -6812 + 6808. Let l be -1*(3 + -1)*11. Sort 3, l, n in decreasing order.\nAnswer: 3, n, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = 3*z + 7. What is the smallest common multiple of o(2) and 2?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.11746844 * 0.4\nAnswer: 0.046987376","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 11 + -8. Let d = 20 + -15. Let q(t) = -t**3 + 3*t**2 + 15*t - 20. Let s be q(d). Solve -b = -s*m + 2 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-45)\/876)\/(43230\/(-5764))?\nAnswer: 1\/146","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w*w**(-8\/5)\/w*w**(12\/11) assuming w is positive.\nAnswer: w**(-28\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 - ((-3615)\/90 + 17 + -7 + (-477)\/54)?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*c**(-4\/11)\/c)**(-36) assuming c is positive.\nAnswer: c**(144\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6513 is divided by 18.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 341*c**2 + 390 + 333*c**2 - 2677*c**2 - 988 with respect to c.\nAnswer: -4006*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-14 + 14 - 7*h)*(-87*h**2 + 0*h**2 + 19*h**2 - h) + 3*h**2 + 2*h**3 - 3*h**2 in the form d*h**3 + p*h**2 + f + t*h and give p.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) be the first derivative of -8 + 1\/2*q**2 + 0*q. Let d(s) = -3*s. Determine d(g(c)).\nAnswer: -3*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 871?\nAnswer: 13, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -196 - -193. Let j be 1180\/14 + t + (-114)\/(-42). What is the greatest common divisor of j and 63?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 397 + -396. What is the second biggest value in 0, c, 4?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f\/(f*(f**(-3\/7)\/f)\/f*f)*f*f*f*(f*(f**7*f)\/f)\/f*f*(f*f*f*f\/(f*f**(-3\/7))*f*f*f)**22 assuming f is positive.\nAnswer: f**(1077\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 93 - 77. Let h = -23 + 53. Calculate the least common multiple of p and h.\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find u such that 79*u + 996 + 77*u + 3*u**2 + 1032 = 0.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -6 - -8. Let w = -1 + h. Let s be (-5)\/(50\/(-4)) + 0. Which is the second biggest value? (a) w (b) s (c) -6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -79 divided by -4052371\nAnswer: 79\/4052371","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 802 is divided by 44.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1\/(-6) - 12\/(-72). Suppose u = -k - 5*k + 12. What is the units digit of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -16027 + 15726. Is 3 < m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = 171*p - 561. Let i = 547 + -543. What is the remainder when r(i) is divided by (18\/(-8))\/((-2)\/56)?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 130968 by -1284.\nAnswer: -102","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d = -1, -3*d = -5*a - 2*d - 9. Let x(y) = 5*y**3 - y - 1. Let k(n) = 4*n**3 - n - 1. What is a*x(j) + 3*k(j)?\nAnswer: 2*j**3 - j - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 1\/659840 and 119\/742320?\nAnswer: 5938560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-30)\/22)\/(19640\/(-388872)).\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 71931.\nAnswer: 3, 23977","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q + 2 = -0. Which is smaller: -2\/7 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 23897 divided by -1039\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -t - 87 - 2*t + 76 + 4*t + 24.\nAnswer: t + 13","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 367 minutes before 7:10 PM?\nAnswer: 1:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 - (4 - (1 + 2))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4 + -125911227548.\nAnswer: -125911227544","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 120492 and 48?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express (1457 - 2028 + 24 - 3744)*(-2*f - 2*f + 3*f) as q + s*f and give s.\nAnswer: 4291","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = 5*p + 0 - 11 - 4*p. Let i be z(7). Let g = -1 - i. List the prime factors of g.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 120*v + 279617 = 59*v + 74*v. What are the prime factors of v?\nAnswer: 137, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 151 and 9.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 45\/4 of a hour in minutes?\nAnswer: 675","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -4 - -2. Let g be o + -2 + 4 - 0. Suppose 0 = -h + c + 13, -2*h - 3*c + 20 - 4 = g. What is the greatest common divisor of h and 88?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -1225858, -4903424, -11032698, -19613680, -30646370, -44130768?\n\"Answer: -1225854*g**2 - 4*g","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c - 11*c = -5616. What is the units digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 706 minutes before 7:09 AM?\nAnswer: 7:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 54 is divided by 10.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*b = -9*b + 3 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -40 = 15*b + 35 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 170839\/6 (b) 0.2 (c) -0.4 (d) -1 (e) 3\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -99283, -3, -0.4?\nAnswer: -99283","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 19, 35, 75, 151, 275?\nAnswer: 459","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 8122 >= 8122?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -6 - 4\/((-4)\/(-2)). Let c(m) be the first derivative of m**3\/3 + 3*m**2 - 11*m + 1. List the prime factors of c(o).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**5*t*t**(-3))\/(t\/t**(-4\/7)*(t\/(t**(1\/4)\/t))\/t))**(3\/44) assuming t is positive.\nAnswer: t**(57\/1232)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b + 40 = 140. Suppose 4*n + 0*n = b. Suppose -n = -g + 13. Is 19 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 4, 0, 1.9, -2\/7?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) be the third derivative of w**4\/8 - 157*w**2. Let b(j) = j**2. Calculate f(b(h)).\nAnswer: 3*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -64*b - 89*b**3 + 64*b - 262*b**3.\nAnswer: -351*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/3? (a) 8\/9 (b) 0.46 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 divided by -12669161.\nAnswer: 5\/12669161","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w + 2*w = 0. Suppose 4*y + 4*l = -w*l + 24, 3*l = 2*y + 3. Solve 0 = -0*x + y*x - 9 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 7*h**2 + 3*h + 32?\nAnswer: 14","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h\/(h**(-1\/4)*h))**(-4\/9)\/(h*h*h\/(h*h**1*h))**(5\/9))\/(h**(-1\/2)*h*h**(-2\/3)*h)**15 assuming h is positive.\nAnswer: h**(-227\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 1405 to the power of 1\/7, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -43*y + 622. Give c(14).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 7\/33 + -6\/11. Let u = 113\/354 - 9\/59. Which is the biggest value? (a) u (b) -2 (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-5)\/((-25)\/15))\/1. Suppose k - 20 = -p*v - 0, -4*v = 3*k - 60. Does 12 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -55 - -105. Suppose -4*k + 2*k + h = 0. Solve 4*z - k = -z for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -1846385 from 0.\nAnswer: 1846385","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 15 - 11. Suppose -3*f = -3*l + 12, -2*f - 4 = -v*l + 12. Solve 0 = 2*x - f - 6 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3635178721 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 <= -17\/38660?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d - 4*t = -26, -5*d - 10 = 3*t + 16. Let c(j) = -j**3 - 5*j**2 + 6*j - 16. Is c(d) a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = 3*c**2 + 81*c - 4. Give i(-27).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h + 18 = -0. Let s = 21 + -5. What is the remainder when 30 - (h\/3 - -1) is divided by s?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1396842414 a multiple of 3959?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2501*-5.\nAnswer: -12505","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 4 (b) 37 (c) -27 (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 64852 times 0.1\nAnswer: 6485.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28*g - 64 - 1876 = 356. Calculate the highest common divisor of g and 11521.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i = -0*j - 5*j + 533, -4*j = 3*i - 400. What is the remainder when i is divided by 15?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 99*k = 106*k. Suppose 675*m - 677*m - 2 = k. Sort -4, 0, 5, m in ascending order.\nAnswer: -4, m, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5703066 is divided by 573?\nAnswer: 570","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 29194681 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*(p*p\/((p*p\/((p*p**(-4\/3)*p)\/p))\/p))\/p*p*p*p**1)\/((p*p**(-2\/7))\/(p**(1\/18)*p)) assuming p is positive.\nAnswer: p**(505\/126)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -1 - 125968973\nAnswer: -125968974","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 15 + (1 - 7) - 14. Let k(w) = -7*w + 10. Let r(f) = -6*f + 9. Give h*r(v) + 4*k(v).\nAnswer: 2*v - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 802 - 548. Let d = -251 + h. Solve -d = -f - 2 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 39677*v - 9946*v - 9887*v - 9925*v - 9930*v.\nAnswer: -11*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bn when two letters picked without replacement from {n: 2, b: 1}?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -4 - -6. Let c(t) = 7 + 5*t - 4*t - 2 + t**b. Suppose 39 - 39 = -7*w. Determine c(w).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 7441, 13920, 24719, 39838?\nAnswer: 59277","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 596?\nAnswer: 2, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/(f*f**(-5\/4))*(f*(f\/(f*f**2))\/f)\/f*f*((f**10*f)\/f)\/(f**20\/f))**(-12) assuming f is positive.\nAnswer: f**117","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 5\/144, -0.6, -1\/4?\nAnswer: 5\/144","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 673 + -670. Let t = 0 - 0.5. Let i = -0.2 - t. Which is the smallest value? (a) i (b) -5 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 220556 to the nearest integer?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 4616347 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:53 PM and 12:34 AM?\nAnswer: 41","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 135?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -22 - -40. Let d(g) = 18*g**3 + 2*g**2 - 1. Let w be d(-1). Calculate the smallest common multiple of c and 9\/(-3)*1 - w.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1.02315 + 0.10845. Round d to two dps.\nAnswer: 1.13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bci when three letters picked without replacement from {g: 2, w: 1, k: 4, c: 4, b: 8, i: 1}.\nAnswer: 4\/855","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3.1 - -0.1. Let x = s - -5. Let n be 3 + -5 - (-7)\/2. Which is the closest to 0? (a) 3 (b) x (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = v**3 + 71*v**2 + 164*v + 1812. What is o(-69)?\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8*8\/(-1280)*-380?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 72 + (-170 - -84) - (1 - -9)?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -77 + 71.7. Let m = s + 1.6. Let k = m + 4. Sort k, 0.1, 5 in ascending order.\nAnswer: 0.1, k, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = 2*g**2 + 5*g + 6. Let w be a(-6). Suppose 3*x + 13 = 3*t - x, x = t - 3. Let c be (-2 - t) + 1*13\/1. What is the highest common factor of c and w?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -33.999892 + 34. Let l = 0 - c. What is l rounded to 5 decimal places?\nAnswer: -0.00011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 234692, 234895, 235112, 235349, 235612, 235907, 236240?\nAnswer: 236617","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 21\/104680 and 149\/18?\nAnswer: 942120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-22)\/(-12))\/(2\/(-6)). Let t = -83\/14 - n. Let j = 33 - 33.5. Which is the second smallest value? (a) j (b) t (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (14*c + 31*c + 2962 - 47*c)*(-2*c + 4*c - 4*c) as x*c**2 + g + m*c and give g.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2633780144 to the nearest integer?\nAnswer: 51320","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 10866512 to the power of 1\/2, to the nearest integer?\nAnswer: 3296","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = 2*o**2. Let l(s) = 85570*s. Give g(l(d)).\nAnswer: 14644449800*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 3.1016 and 0.2?\nAnswer: 0.62032","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 11 - -1. Let z be -3*(f\/(-9) + 1). Let m be (-26)\/(-3) - z\/(-3). Solve 2*k - 3*k = -3*s - 3, s = 3*k - m for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zxiz when four letters picked without replacement from ixzzx.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is two fifths of a litre in millilitres?\nAnswer: 400","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -21*h**2 + 28*h + 74. Let q(t) = -11*t**2 + 16*t + 37. Give -7*q(y) + 4*v(y).\nAnswer: -7*y**2 + 37","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 23431103 (base 5) to base 15.\nAnswer: 44753","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 38887?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 5785843?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -35616 (base 9) in base 14?\nAnswer: -8981","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 40 - 37. Suppose 0*j - y*j = -2*l - 13, 4*l + 2 = -2*j. Let u(k) = -k**2 - 2. What is u(l)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence od when two letters picked without replacement from {l: 4, d: 2, r: 5, h: 2, o: 4}.\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**2\/w**1*w**(-2)\/w**(2\/3) assuming w is positive.\nAnswer: w**(-5\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 714484 is divided by 31064.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 350 - 227. What is the greatest common divisor of w and 41?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13 (base 9) in base 4?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -219775 and 4.66?\nAnswer: -1024151.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6 (base 12) to base 10.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 43\/4 of a year in months?\nAnswer: 129","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 24559344 and 1008.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) be the first derivative of -3*d**2 - 23. Let t(f) = 2*f. Give t(a(r)).\nAnswer: -12*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 4.487337 hours?\nAnswer: 16154413.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.051 - -0.351. Let a = -15 + 46\/3. Which is smaller: c or a?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3231?\nAnswer: 3, 359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.194, 3, -0.1, 10 in increasing order.\nAnswer: -0.194, -0.1, 3, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1061254, 1061243, 1061232, 1061221, 1061210, 1061199?\nAnswer: 1061188","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -346.49, -1\/2.\nAnswer: -346.49, -2, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (46\/92)\/(((-9)\/(-9))\/(-1*22))\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c, 2 a, and 1 e when four letters picked without replacement from ecakseeesa?\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -2fc43 (base 16) in base 3?\nAnswer: -100221101100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/(((-2016)\/14)\/6).\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -4*z. Let b(w) = 38431*w. What is b(o(h))?\nAnswer: -153724*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide 333201 by 2.\nAnswer: 333201\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -249*b + 2. Let x(d) = 83*d - 1. What is 2*n(q) + 7*x(q)?\nAnswer: 83*q - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor -6*r**3 - 106*r**2 + 230*r - 118.\nAnswer: -2*(r - 1)**2*(3*r + 59)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -15 + 19.2. Let l = 0.2 - i. Let v = l + 4.5. What is the third smallest value in v, -2\/3, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 299 - 276. Let b(o) = o**2 - 2*o + 10. Let u be b(5). Let z = u - t. Solve -5*r - 15 = 5*v, 0*v + 6 = -z*r - 5*v for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 1, z: 12, r: 7}. Give prob of sequence rzzr.\nAnswer: 77\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) be the third derivative of -m**6\/120 + m**5\/12 - 7*m**4\/24 + m**3 + 3*m**2. Let y(a) = -a**3 - 9*a**2 - 11*a - 20. Let l be y(-8). Calculate d(l).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -8577, -8678, -8783, -8892?\n\"Answer: -2*f**2 - 95*f - 8480","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (-9912)\/(-944)*2*(3*(-2)\/20)\/(-9)\nAnswer: 7\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3774*b**3 + 137535 - 137535.\nAnswer: 3774*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -v. Let w(l) be the second derivative of 0*l**3 - l**2 + 0 + 0*l**4 - l + 1\/30*l**5. Let r(z) be the first derivative of w(z). Give u(r(c)).\nAnswer: -2*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o - 6*i = -5*i - 3, 3*o = -5*i + 15. Let q(r) = r**2 - 3*r + 3. Let f be q(3). Let m be (2\/4)\/(f\/6). Solve s + o*s = m for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 950*v - 476*v + v**4 - 475*v - 5*v**2 + v**3 to the form q*v + r*v**4 + s*v**3 + p*v**2 + b and give q.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 4756 and 11285988.\nAnswer: 11285988","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8041 is divided by 260.\nAnswer: 241","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 108563 to the nearest integer?\nAnswer: 329","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2786834490 to the nearest integer?\nAnswer: 52790","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*b + 3*b + 30 = 0 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -2049 (base 12) to base 16\nAnswer: -db9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -23*s**3 + 2*s**2 - 3*s. Let k(q) = -11*q**3 + q**2 - q. What is 3*c(w) - 7*k(w)?\nAnswer: 8*w**3 - w**2 - 2*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26*r = -26672 - 16722. Let p = r + 5366. Is p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) be the first derivative of -1093*i**4\/4 - 262*i**3 + i**2 - 230. What is the third derivative of n(o) wrt o?\nAnswer: -6558","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 380723 divided by -15?\nAnswer: -380723\/15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.519982 micrometers in nanometers?\nAnswer: 7519.982","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -72 - -74. Suppose -x*k - k + 264 = 3*f, -4*f + 3*k = -366. What is the units digit of f?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 35885327 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 19254143 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -g**2 + 40*g - 146. Let s be w(36). Is s at least as big as -77?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.02 + 2.02. Suppose 0 = -564*l + 592*l - 112. Sort -3, h, 2\/53, l in descending order.\nAnswer: l, h, 2\/53, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5312300 rounded to the nearest one hundred thousand?\nAnswer: 5300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1167*m**4 + 8773*m**3 - m**2 + 4976294*m?\nAnswer: -28008*m + 52638","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 78 is divided by 42.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a = 2*p - 1354, 4 + 6 = -2*a. Calculate the common denominator of p\/174*3\/(-31) and 97\/10.\nAnswer: 310","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -2*m**3 + 3*m**2 + 43*m + 235. Give q(-6).\nAnswer: 517","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 4684 and 1152264?\nAnswer: 1152264","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) be the second derivative of y**3 + 3 + 1\/20*y**5 + 3*y - 9\/2*y**2 - 3\/4*y**4. Calculate m(8).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -ba + -a?\nAnswer: -c7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-9)\/171*4\/2. Suppose -2*o - 15 = -7*o. Let f = 23.05 - 21.05. Which is the closest to o? (a) f (b) r (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide (-50)\/5*(-84)\/10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14560 = -38*c - 43*c - 14479 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -n**2 - 5*n - 7. What is f(-6)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 108, 1, -5, -3, 15, 4, -3904 in increasing order.\nAnswer: -3904, -5, -3, 1, 4, 15, 108","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -h + 1. Let z be (34\/4 - 4)*(-2)\/(-3). Give v(z).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5578.\nAnswer: 2, 2789","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 52 + -24. Suppose g = 4*z - 0*z. What is the least common multiple of 10 and z?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1655?\nAnswer: 5, 331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 1, x: 2, f: 1, g: 1, i: 1, a: 1}. What is prob of sequence ki?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -15*x**3 + 14*x**2 + 35*x - 17. Calculate o(4).\nAnswer: -613","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.1 - 1.9. Let m = -0.405 + 0.205. Which is the closest to -4? (a) -4 (b) g (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s**3 + 12285*s**2 - 1698639*s - 20172845 = 0. Calculate s.\nAnswer: -11, 151, 12145","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 10930951 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = 8*x - 102. Let a be f(14). Let p(h) = h**3 - 9*h**2 - 13*h + 1. Determine p(a).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -5.165 + 5.1. Let a = b - -0.165. Let t = -3 + 3.1. What is the nearest to a in t, -0.2, -3?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-25 - -14 - -20 - 13 - 23) + 4.\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = 8*c**2 + 6*c + 8. Let g be h(-2). Suppose -4*b + 3*a + 68 = -a, -4*a = 4*b - g. Solve 18*f - 15*f - b = 0 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n - 15 = 5*c, -n + 11 = -0*n + 3*c. Let x(z) = -n*z - 2*z + 0*z + 6*z. Let y(a) = 4*a - 6. Determine x(y(g)).\nAnswer: -4*g + 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -3+-10.921\nAnswer: -13.921","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = 2*j**2 + 4*j - 1. Let p(t) = -t**2 - 2*t + 1. What is 2*g(b) + 5*p(b)?\nAnswer: -b**2 - 2*b + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3246 - -5544. Does 43 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1333 * -5.\nAnswer: 6665","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) -33\/10 (b) -5 (c) -0.1 (d) 0.73 (e) 1\/8 (f) 2\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -15*l**2 + 17*l**2 + 23*l**2. What is the units digit of d(-1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 78 is divided by 17.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-15)\/(-50))\/(40\/50). Let r = 1\/9 - -5\/9. Which is the biggest value? (a) 0.3 (b) r (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -2 + 5544?\nAnswer: 5542","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -f**2 + 7*f - 5. Let p be y(5). Let z(b) = b**3 - 2*b**3 + 1 + 6*b + 8*b**2 - 4*b**2. What is the units digit of z(p)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/4629 != 10?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is g in -324*g**4 + 19767*g**3 - 154407*g**2 + 136212*g - 1248 = 0?\nAnswer: 1\/108, 1, 8, 52","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 390 (base 10) in base 11?\nAnswer: 325","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 177819992 and 0.0778?\nAnswer: 177819991.9222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 154*v - 4494562 - 4354432 = 36134868. Is v composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -43\/22410 and 77\/276?\nAnswer: 1030860","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(33)\/((sqrt(121) - (sqrt(121) + sqrt(121)*2))\/sqrt(11)))**2.\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.012106 to four decimal places.\nAnswer: 0.0121","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2467 in 6, -62, 1\/23, -0.5?\nAnswer: -62","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 22016 divided by 86\nAnswer: 256","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) be the second derivative of j**5\/40 - 13*j**4\/24 - j**3\/12 + 13*j**2\/4 - 7*j + 36. What is d in y(d) = 0?\nAnswer: -1, 1, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15602 is divided by 12548?\nAnswer: 3054","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -465308 - 15?\nAnswer: -465324","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -347, -383, -419, -455?\nAnswer: -491","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28*x - 3*b = 10*x + 96, 5*x = 5*b - 45 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express 215*q**2 - 29 + 26 + 513*q**2 + 228*q**2 - 2*q as c*q**2 + k + n*q and give k.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 109.44729 months?\nAnswer: 9.1206075","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -30947, -247952, -836993, -1984088, -3875255, -6696512?\n\"Answer: -31003*n**3 + 16*n + 40","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rvlrllldlidvvllvr. What is prob of picking 2 l?\nAnswer: 21\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 42 (base 13) in base 11?\nAnswer: 4a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -57 + 19. Let z be (-1)\/1 - (1 + d). Suppose 2*w + z = 4*l, -30 = -l - 2*l + 3*w. List the prime factors of l.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5330 to the power of 1\/2, to the nearest integer?\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 42*b**4*p - 2*b**4 - 2*b**3*p - 2331*b**3 + 2649648*b**2*p + b**2 wrt b.\nAnswer: 1008*b*p - 48*b - 12*p - 13986","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -32*w**3 - 385?\nAnswer: -96*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -6885*t + 177. Suppose -11*r = -56*r - 180. Is j(r) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -i**3 + 6*i**2 + i - 1. What is the units digit of p(6)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*m + m + 3*s + 2 = 0, 0 = -2*s - 4. Let c be 2*m\/(6 + 2). Sort -2\/45, c, -5 in decreasing order.\nAnswer: c, -2\/45, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x = -3*y - 18, -5*x - 3*y - y = 5. Suppose 0 = -b - 3*t - 1, 2*b + 1 = -t + 4. Suppose 4*s - b*i - 56 = i, -i = -x*s + 42. Is 7 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*w - 25 + 213. What are the prime factors of w?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.4 + 179164.561258019\nAnswer: 179164.961258019","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.4? (a) 2\/7 (b) -0.2 (c) -14.7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-6)\/(-39) - 37\/(-13). Let u(d) = 6*d**2 + o + 2*d**3 - 3*d**3 - 4 - 6*d + 4*d. Is u(5) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -35 - -62. Let r(w) = -w**2 - 9*w - 3. Let l be r(-13). Calculate the smallest common multiple of (5\/(-2))\/(l\/132) and v.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -20898, -27938, -34976, -42012, -49046, -56078, -63108?\n\"Answer: w**2 - 7043*w - 13856","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*g = -3*p + 26, -g + 20 = -3*g for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 27765 and 810.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (33\/(-15) - 7)*1 and (97\/(-4))\/(-1)*1.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*d - 5*i - 41 = 0, 3*d - 5*i + 4 = -0*d + 33 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1266*v + 1251*v = -270 for v.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(sqrt(475) - ((sqrt(475) + 3 - sqrt(475)) + sqrt(475) + -3)))**2 + (sqrt(627)\/sqrt(99))\/(sqrt(3)*2*1 - sqrt(3)).\nAnswer: sqrt(19)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 23 (base 13) in base 12?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 174*l + 50*l - 1344 = 0 for l.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-2)\/(-3)*(-18)\/(-3). Suppose 4*h = -r*m + 32, h = 2*m - m. Let z be h\/14 + 22\/(-77). Which is the third biggest value? (a) 5 (b) z (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = 548*a**2 + 23*a + 2. Is 7 a factor of d(2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -122*i + 121*i = -4*c + 5, 5*i - 21 = -3*c. Solve 2*y - 3*k + 8 = 0, -4*k - c = -4*y - 7*k for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(sqrt(98) + -5*(-2 + sqrt(98)))*-6)**2.\nAnswer: -322560*sqrt(2) + 960768","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 0\/(1\/((-1)\/(-2))). Let d(v) = v**3 - v**2 + v. Let p be d(b). Suppose 12 = -2*i + t, 2*i + i + 2*t + 11 = p. Put 5, -2, i in increasing order.\nAnswer: i, -2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -22 - -27. Suppose -5*x = j*i + 5, 0*i - 5*x = 2*i - 4. Put 0, i, -7 in descending order.\nAnswer: 0, i, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(156) + sqrt(156)*1*4 + sqrt(156) - sqrt(156))\/(1*sqrt(12)*2).\nAnswer: 5*sqrt(13)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) be the first derivative of -28*f**5\/5 - 27*f**2\/2 - 15. What is the second derivative of w(y) wrt y?\nAnswer: -336*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -5, 667, -7 in descending order.\nAnswer: 667, 1, -5, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -4, 1009, 51?\nAnswer: 1009","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) be the third derivative of -f**5\/60 + f**4\/12 - f**3\/6 + 4*f**2. Let c be o(1). Put c, 3, -2 in descending order.\nAnswer: 3, c, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24872 != 24875?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 73417 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p = -w + 61, -w + 6 - 5 = 0. Suppose 7*o - 12 - 212 = 0. What is the lowest common multiple of o and p?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7756 rounded to the nearest one hundred?\nAnswer: -7800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c = -5*v - 3, -3*v = 2*c - 14 - 1. Suppose 4*u - 3 = 1. Let p be u*9\/(-6)*-56. What is the greatest common factor of p and c?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = t - 5. Let f be i(9). Suppose -y - f - 1 = 0. Is -4 > y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1989.\nAnswer: 3, 13, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2*y**4 - 33*y + 352 wrt y.\nAnswer: -8*y**3 - 33","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -22173 + 22197. Let p be (-4)\/(-2) + (-24)\/13. Sort p, 0, g in decreasing order.\nAnswer: g, p, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:07 PM and 5:26 AM?\nAnswer: 439","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*k - 5*o + 29 - 34 = 0, -2*k + o - 11 = 0 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 5414 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve s + 4*s + 4*k = 73, -13*s - 22*k = -8*s - 289 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -16\/2078465 or -1?\nAnswer: -16\/2078465","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-4)\/(-1) - 0\/(-4). Suppose -4*p = -k*s + 344, -5*p + p + 160 = 2*s. List the prime factors of s.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -l**3 + 6*l**2 + l - 9. Let f be o(5). Let w = -54 + 35. Let j = f + w. What is the smallest common multiple of j and 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ia when two letters picked without replacement from {i: 11, a: 7, g: 2}?\nAnswer: 77\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 129, 263, 413, 585, 785, 1019, 1293?\n\"Answer: k**3 + 2*k**2 + 121*k + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*s - 65 + 2*s**2 + 6*s.\nAnswer: 2*s**2 - 65","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide 53429808 by 62418.\nAnswer: 856","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) be the third derivative of -y**8\/336 - 11*y**6 + 7*y**5\/60 - 2*y**4\/3 + y**3\/3 - 3*y**2 - 2*y + 227. Find the third derivative of k(d) wrt d.\nAnswer: -60*d**2 - 7920","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4612220 divided by -10\nAnswer: -461222","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-23 - -15) + -14 - -2 - -3.\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = 8*p**2 + 12*p - 32. Is o(3) a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 65782 - 4?\nAnswer: 65778","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*w + 5*w = 0. Let m be (5\/(-5))\/(3\/(-12) + w). Let l be (-35)\/30 + -3 + m. Put l, 1, 0.1 in ascending order.\nAnswer: l, 0.1, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.1 and -35.\nAnswer: -3.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000249713 rounded to five dps?\nAnswer: 0.00025","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 603175 and 1085715.\nAnswer: 5428575","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 85.39689ml?\nAnswer: 0.08539689","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d - 5*p + 40 = -0*d, 0 = 5*p. Suppose 0 = 4*r - 5*r + 8. Suppose -v - r = -24. What is the least common multiple of v and d?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*u**2 + 3*u**2 + 2*u**2)*(u - 7*u + 2*u + 7*u + 2*u - 8*u + (2 + 2 - 2)*(3*u - u - 3*u)) + (4 - 2 - 1)*(3*u**2 + 0*u**2 - 5*u**2)*(4*u - 6*u + 0*u).\nAnswer: -u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 724594 to the nearest integer?\nAnswer: 90","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*d**4 + 48*d**3 + 36*d**2 - 88*d.\nAnswer: 4*d*(d - 1)*(d + 2)*(d + 11)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4*x + 2*x - 4*x)*(5 + 0 - 3)*(18*x - 47*x + 10*x - 1 + 1 - 3*x + (-3 + 2 + 2)*(0*x - x + 3*x)) to the form h*x + i + c*x**2 and give c.\nAnswer: -80","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bbb when three letters picked without replacement from {u: 7, b: 12}.\nAnswer: 220\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 p when two letters picked without replacement from {u: 13, p: 2, f: 2, h: 2}.\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12\/(-207)*69\/46.\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1892.2926 rounded to the nearest 10?\nAnswer: 1890","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/3 in 0, -3, -18\/5, -2, -1772?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 524 minutes after 9:01 AM?\nAnswer: 5:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -67, -562, -1543, -3124, -5419, -8542, -12607, -17728?\nAnswer: -24019","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.54 - -36.54. Let d = u + -36.73. Round d to 1 dp.\nAnswer: -0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.4, 14.5, -3, -5, -0.09, 2\/7 in descending order.\nAnswer: 14.5, 0.4, 2\/7, -0.09, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -59 - -62. Suppose -h*j - 5539 = 4001. Let i = -664618\/209 - j. Is i <= 0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*r - 149400000 = -17*r. What is r rounded to the nearest one million?\nAnswer: 25000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2023*v + 45 = 2014*v for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d = -4*c + 26, 5*c + 2*d - 21 + 5 = 0. Suppose -r - 125 = z, 0*z - 3*z - 252 = 2*r. What are the prime factors of r\/(-6) - (-2)\/c?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*u**(-6)*u*u*u**(-1\/4))**(2\/19)\/((u*(u\/u**4)\/u)\/(u\/((u**(2\/19)\/u)\/u)))**(-3\/26) assuming u is positive.\nAnswer: u**(-505\/494)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 20 is divided by 12.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) be the third derivative of r**4\/24 + 5*r**3\/2 + 3*r**2. What is the derivative of x(p) wrt p?\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 2, r: 4, w: 5}. Give prob of picking 1 w and 1 k.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 306104?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3 - -1. Solve -2*n - r*x + 11 = -5*n, -n = 3*x - 5 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -8716 + 8715.961016. Let m = j + 0.039. What is m rounded to six dps?\nAnswer: 0.000016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5\/(5\/(-15)*9)*(-108)\/(-45).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 358581894 to the nearest integer?\nAnswer: 710","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 - (2 + 1 + 2 + -2 + 5)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 176385.\nAnswer: 3, 5, 11, 1069","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) be the second derivative of 11*l**3\/6 - l. Let n(q) = -16*q + 74*q - 58*q + 2*q**2. What is d(n(t))?\nAnswer: 22*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -554*m - 559*m - 555*m + 1666*m + 112 - 116.\nAnswer: -2*m - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -5135 (base 7) in base 3?\nAnswer: -2110022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -69 + 5 + 7 - (-11 - 2 - -24)?\nAnswer: -68","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -181.4 or -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -13, -5, 1\/6, 9\/4, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -5, -4, 6, 3 in increasing order.\nAnswer: -5, -4, 3, 4, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 285 - 77 = 4*v. Let p = -25 + v. What is the remainder when p is divided by 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + ((0 + -1*(-3 + sqrt(1152)) + sqrt(1152) + (4 + sqrt(1152) + -1 - sqrt(1152)))*1)**2.\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -95.35 - -100. Let p = 4.5 - i. Let c = 0.1500061 + p. Round c to six decimal places.\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 120 and 127.\nAnswer: 15240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 609.5 + -725.54. Let w = d - -116. Which is bigger: 3 or w?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 309 minutes after 3:19 PM?\nAnswer: 8:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -8, 4, 16, 28, 40, 52?\nAnswer: 64","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 80927129 and 3062?\nAnswer: 1531","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + 3 - (-776 + 757)?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -2*w. Let m(g) = 4*g**2 + 2*g. Let x(y) = -2*y**2 + 11*y**2 + 4*y + y + 0*y. Let v(u) = -5*m(u) + 2*x(u). Give f(v(o)).\nAnswer: 4*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1\/231 - 6235\/462. Let h = -14 - w. Let d = -45.9 + 46. Is h at most d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3818574259 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -t**2 - 5*t + 8. Let l(a) = -3*a**2 - 15*a + 25. Let q(i) = 7*c(i) - 2*l(i). Calculate q(-5).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -5482, -10897, -16254, -21553, -26794?\n\"Answer: 29*g**2 - 5502*g - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4572 - 4140 = -24*n for n.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -21*y**2 + 731*y + 728. What is q(-1)?\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 2923734?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 - 3 - d + 2*d + (36 - 34 - 30)*(-d + 5 - 5 + (3 - 2 - 2)*(-2*d - d + d) - 2*d + 4*d - d + d - d + 2*d)*(2 + 1 - 4) to the form q*d + s and give q.\nAnswer: 113","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -2*u**2 - 62*u. Suppose 6*m = 1 - 19. Let i be 2*(3 + -6)*1\/m. Let c(k) = -k**i - 2*k**2 + 3*k**2 + 2*k**2. What is h(c(f))?\nAnswer: -8*f**4 - 124*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 108870737 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*c**4\/7 - 6381*c**3\/7 + 6402*c**2\/7 + 5472*c = 0.\nAnswer: -2128, -2, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o = -4*c - 2*o - 13, 3*c + 5*o + 18 = 0. What is the least common multiple of 12\/(-5)*(-20)\/6 and (c\/3)\/(8\/(-144))?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -5 - 363?\nAnswer: -368","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Determine b so that -4*b**2 - 92*b - 240 = 0.\nAnswer: -20, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = 2*j + 11. Let b be w(-1). List the prime factors of b\/(-6)*1936\/(-24).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 172161581 to the nearest integer?\nAnswer: 13121","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 33 divided by 26\nAnswer: 33\/26","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Determine t, given that -7*t**3\/2 - 4906*t**2 + 32345*t\/2 + 21075 = 0.\nAnswer: -1405, -1, 30\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -8\/2671 + -23111\/309836. Let k = l + 191\/5452. Which is greater: -1 or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = 4*f + 139 + 16*f - 137. Let j(b) = -2*b**2. What is j(i(n))?\nAnswer: -800*n**2 - 160*n - 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 2082, -0.6, 0.02, -11, -9?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.511489 times -2?\nAnswer: -15.022978","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -1, -0.1, -2\/17, -2\/5?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1421544.\nAnswer: 2, 3, 61, 971","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Determine u so that 0 - 2\/9*u**3 + 8\/3*u - 2\/9*u**4 + 16\/9*u**2 = 0.\nAnswer: -2, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (10\/4)\/((-480)\/(-128))*(-54)\/4.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(19) + (sqrt(114)*2)\/sqrt(6) - (-2*sqrt(76) + sqrt(76) - sqrt(76))\/sqrt(4).\nAnswer: 5*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express 82*m + 171*m - m**2 - 10*m**3 + 8*m**3 + 724*m**4 - 702*m**4 in the form y*m + z*m**3 + v + i*m**2 + l*m**4 and give z.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 270268\/13 + -20465. Let k = 325 - u. Which is the smallest value? (a) 0.5 (b) 2\/11 (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 811 + 270 = 241*s + 117. Sort 0, -5, s, -2\/75 in ascending order.\nAnswer: -5, -2\/75, 0, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 4 (b) -1 (c) 0 (d) -4 (e) -52.1 (f) -0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rereeegr. Give prob of picking 2 e and 1 g.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1890)\/117)\/(-21)*774\/(-645).\nAnswer: -12\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.8 and 57?\nAnswer: -45.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w - 16 = 4. Let z be (63\/(-18))\/((-2)\/w). Let c(m) = 5*m - 10. Is c(z) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -2*g - 22. Let p be z(-6). Let l be ((-54)\/(-180))\/((-4)\/p). Factor 0 + 0*x + l*x**4 + 3\/4*x**3 + 0*x**2.\nAnswer: 3*x**3*(x + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 113.8 - 342.8. What is the third biggest value in i, 2, -0.5, -1, -2\/5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-30)\/5*(-5)\/(-2). What is the units digit of -3 + (-3)\/9*l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 117 - 122. Let h be -1*6 - (3 + 119\/(-14)). Which is the fourth biggest value? (a) h (b) 2\/11 (c) -4\/7 (d) w\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -34 + 39. Is (0 + 1)*5\/u - -140 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (52 - -6)*(-1 - 0). Suppose 4*p = -p + 60. What is the common denominator of -101\/12 and ((-6)\/p + 1)*r\/(-20)?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 1786301*k - 1786683*k + 17190 for k.\nAnswer: 45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -393466 - 122301739\nAnswer: -122695205","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 4 + -4.4. Let a = 10 - 14. Let w be (1\/((-12)\/(-8)))\/a. Put n, w, -1 in increasing order.\nAnswer: -1, n, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = 5183*l + 14540. Give c(-3).\nAnswer: -1009","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z*z\/(z\/(z*z**(2\/7)))*z)**(3\/52))**(-13)\/((z*(z\/(z\/(z*z**(2\/11)\/z)))\/z)\/z*z*z**(-1\/6)*z)**(-18) assuming z is positive.\nAnswer: z**(4869\/308)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 17868 + -17868.140095. Let l = -32 - -32.14. Let i = l + h. Round i to five decimal places.\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -157 + 338. What is the units digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*k**2 + 0*k**2 + 4*k**2.\nAnswer: 9*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (375 + 18 - 85)*(-3*u**4 - 2*u**4 + 7*u**4).\nAnswer: 616*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 l and 2 b when four letters picked without replacement from kglggbgglbjggkg.\nAnswer: 1\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1\/2779 - -5457\/280679. Let n = s + -111\/505. What is the nearest to 0 in -1, n, -31?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.15874 and 5.\nAnswer: 5.15874","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*i**3 - 17448*i**2 + 936196*i + 953640.\nAnswer: -4*(i - 54)*(i + 1)*(i + 4415)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 u when two letters picked without replacement from {l: 4, s: 1, u: 3, r: 3}.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (1\/(-3))\/((-665)\/96). Let r = -2\/35 - i. Let a = -3.2 - -0.2. Sort -0.5, r, a in decreasing order.\nAnswer: r, -0.5, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) -4 (b) -3 (c) -0.2 (d) 13\/15 (e) -1.2 (f) 1\/142\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.6239 take away -5.1?\nAnswer: 4.4761","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 + 2*p + 3)*(-7 + 5 + 3)*((0*p + 6*p - 4*p)*(2 + 1 - 4) + (1 - 2 + 0)*(-4*p + 0*p + 3*p))*(2 - 17 + 11) to a*p**2 + j + y*p and give a.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t**5\/5 - 166*t**4 - 15928*t**3 - 71360*t**2 + 1809408*t\/5 = 0. Calculate t.\nAnswer: -76, -8, 0, 3, 496","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:42 AM and 10:45 AM?\nAnswer: 123","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = 11*s**2 + 7*s - 1. Let t be x(3). Let b = -79 + t. Does 5 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 12795972?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*l**2 + 3*l**2 + 2*l**4 + (2*l + 2*l - 3*l)*(2*l**2 - l**2 + l**2)*(-13*l - 2 + 2) in the form x*l**3 + a + h*l + m*l**2 + i*l**4 and give i.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (1*(-1 + sqrt(700)))**2 - (((sqrt(700) - 2*sqrt(700)) + 5)**2 + sqrt(700))*-1.\nAnswer: -110*sqrt(7) + 1428","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (18\/(-155))\/(213\/(-18460)) - 10?\nAnswer: 2\/31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/14, 0.2, -0.5, -1\/5 in descending order.\nAnswer: 0.2, -1\/14, -1\/5, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*s - 4*s + 4 - 2)*(s**3 + 0*s**2 + 0*s**2) + (21 - 3*s**2 - 21)*(2*s**2 + 2 - 2).\nAnswer: -8*s**4 + 2*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -1416390 divided by -15230?\nAnswer: 93","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 31161313597 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 25259, 41577, 57895, 74213, 90531, 106849?\n\"Answer: 16318*t + 8941","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2278668?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1 - (-209)\/14 - (-36)\/63. Suppose -3*l - 4*p - 47 = -4, -4*l - 70 = -p. Let m = l + v. Which is the closest to m? (a) -2 (b) 3\/2 (c) 7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-164)\/52 - 2\/(-13). Let k(b) = -10*b - 1. What is the remainder when 84 is divided by k(y)?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -127 - 129 = 45*h + 419 for h.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 9 - 5*j**2 + 24 - 83 to m + t*j + l*j**2 and give m.\nAnswer: -50","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.503 - -0.603. Sort 0.4, r, -1\/12 in decreasing order.\nAnswer: 0.4, r, -1\/12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((q*q**(-1\/6))\/q*q*q)\/q**(-1\/2))\/(q\/(q\/(q*q\/(q*q**(-2)*q*q))))**5 assuming q is positive.\nAnswer: q**(-8\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1682493?\nAnswer: 3, 29, 83, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) be the third derivative of -1\/6*h**4 + 0*h**3 + 0*h + 0 - 4*h**2. Let j(b) = -7*b. Give 5*g(u) - 3*j(u).\nAnswer: u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s = -4*k, k = -k + 5*s. Solve -v + 3 = 4*m + 12, k = -2*m - 5*v - 27 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -j + 2. Let c be q(8). Let g be 2\/c - 6\/9. What is the common denominator of (93\/(-8))\/(g\/2) and 7\/5?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-3069)\/93)\/1023*-248.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 560113 to the power of 1\/9, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -3523 (base 7) in base 6?\nAnswer: -5551","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = 4*k**2 + 4*k + 4. Let w(u) = 12*u**2 + 13*u + 12. Let h = -4528 + 4530. Calculate h*w(z) - 7*d(z).\nAnswer: -4*z**2 - 2*z - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -z**2 + 8*z + 4. Let x be s(-5). Let c = -35 - x. Calculate the remainder when c is divided by ((-4 + 4)\/4 - -12) + -3.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (16\/(-2))\/((-216)\/36)*72\/(-1088)?\nAnswer: -3\/34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 31265, 32692, 34119, 35546?\nAnswer: 36973","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -5*z**2 - 4*z + 5. Let y(i) = 4*i**2 + 3*i - 4. Let x be (-10)\/15 + 28\/6. Let r(c) = x*y(c) + 3*k(c). What is the derivative of r(s) wrt s?\nAnswer: 2*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -25 - -30 - (2*6)\/2.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*y + 2*y - 3*y)*(-9166 - 15827 + 88158 + 69373) to l + x*y and give x.\nAnswer: 132538","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of o**3*z**3 - 128433*o**3 - 2*o**2*z**3 + 2*o**2*z + 2*o**2 + 6*o*z**3 - 404*o wrt o?\nAnswer: 6*z**3 - 770598","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 140*i - 2417*i**2 - 140*i + 6633*i**2.\nAnswer: 4216*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/5 at most as big as 11455?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*d + 5*q - 8 = 0, -24*d = -26*d + 2*q - 14 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 5 + -5. What is the first derivative of f*d + 0*d - 2*d**2 + 0*d + 1 wrt d?\nAnswer: -4*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h + 32 = -8. Let d(j) = 8*j - 10. Let n be d(h). Calculate the highest common factor of 14 and n.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -353 - -356. Let i be c\/((-6)\/28) - (-5 - 0). Which is bigger: -69\/7 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1782480?\nAnswer: 2, 3, 5, 7, 1061","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 556 minutes after 7:59 PM?\nAnswer: 5:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 570675 divided by -175\nAnswer: -3261","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -15606224 divided by -975389?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13335 is divided by 1410?\nAnswer: 645","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/51 at least as big as -160?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k + 21 = 3*v, -2*k + 9 = -3*k + 4*v. Sort k, -2, 2, -0.5, 2\/5 in increasing order.\nAnswer: -2, -0.5, 2\/5, 2, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 m when four letters picked without replacement from {l: 2, q: 8, x: 1, m: 4}.\nAnswer: 1\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -693*z + 1091*z - 883*z.\nAnswer: -485*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -18*y**3 - 1594*y**2 - 3203*y - 15. Determine q(-2).\nAnswer: 159","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -276, -225, -174, -123, -72?\n\"Answer: 51*a - 327","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 26330, -4, -505 in increasing order.\nAnswer: -505, -4, 26330","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1208328 by -1.\nAnswer: 1208328","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 6960888?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand -27*d + 54*d - 26*d + 3*d - 3*d + 5*d + (d + 1 - 1)*(5 - 5 + 1).\nAnswer: 7*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 6*(-10)\/(-30)*(-5)\/(-2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 2 (b) 173\/677 (c) -0.2 (d) -0.3 (e) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) be the second derivative of -55*o**3\/3 + 28*o**2 - 51*o. Find the first derivative of y(d) wrt d.\nAnswer: -110","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from aaaaaaaaaa. Give prob of picking 4 a.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:35 AM and 6:25 AM?\nAnswer: 170","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express 218*t**3 + 3*t - 104*t**4 + 6*t**2 + 1 - 220*t**3 - 7*t**2 as b + j*t**4 + p*t**3 + z*t + w*t**2 and give z.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a - 4*a = -48. Let s = 34 - a. Let l = 27 - s. Does 17 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 54 + -53 - (-2 - 4).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 1221212 (base 4) to base 13\nAnswer: 30cb","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1126 - -1212. Calculate the lowest common multiple of 12 and l.\nAnswer: 516","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4297858 is divided by 238769?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-6*(sqrt(132)*-3 - sqrt(132)))\/(sqrt(12)*-3*6) + ((sqrt(396) + 1)*3 - (3 + 0 + sqrt(396))) + -3)**2.\nAnswer: -64*sqrt(11) + 11345\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 872?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 394 and 615625?\nAnswer: 197","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) be the second derivative of 2*p**3\/3 - p. Let s(f) = 534*f - 16*f**2 + 539*f + 535*f - 1608*f. Determine s(m(y)).\nAnswer: -256*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*y + 2*y - 70. Let j be (-6)\/(-21) - 108\/y. Solve 0 = 5*m - 2*b - j, -m - 8 = 3*b + 4 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = 6*p**2 + 2*p + 1. Let m be l(-1). Suppose -h - 4*r = -m*h + 736, 2*h + 5*r = 333. What is the units digit of h?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 40683010*j - 3*w = 40683013*j + 42, -2*j = 4*w + 42 for j.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express 290*w**3 - 97*w**3 - 89*w**3 + 94 - 99*w**3 as z*w**3 + n*w**2 + m + s*w and give m.\nAnswer: 94","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = 12*l - 9*l**2 + l**3 + 1 - 2*l**3 + 5 + 6. Let s be d(-10). Is s at most as big as -8?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -2a8 + 217187?\nAnswer: 216cbd","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*t - 22 = 8*t + 5*q, 16 = 2*t - 3*q for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2905 and 280.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 901737 to the nearest integer?\nAnswer: 97","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 1005455946 a multiple of 66?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lknllllkklklnknwkwl. Give prob of picking 1 l and 1 w.\nAnswer: 16\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = w**3 - 380*w**2 + 3366*w - 57. What is a(9)?\nAnswer: 186","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -20248 + 20275. Put -4, 30, 2, h in descending order.\nAnswer: 30, h, 2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 8 + -12. Suppose 0 = 10*s - 117 + 27. Put s, 3, 0.5, i in decreasing order.\nAnswer: s, 3, 0.5, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-608)\/(-57)*(-252)\/(-192)\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -147*x + 3. Let f(u) = 149*u - 3. Determine 6*f(a) + 5*z(a).\nAnswer: 159*a - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -18305.46 take away 551.2679?\nAnswer: -18856.7279","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10\/6*1*27*604\/(-6040).\nAnswer: -9\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k = -8 + 20. Does 9 divide -666*(-9 + k + 2)\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7057021 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x + 28*l - 25*l + 39483 = 0, 0 = 4*x + 2*l - 31604. Is x a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a litre in millilitres?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000003137 to seven decimal places.\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(216)\/(sqrt(24)\/(sqrt(3)*1)))\/(sqrt(252)\/sqrt(7) + (sqrt(441)*2 - sqrt(441) - sqrt(441))).\nAnswer: sqrt(3)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 41540 divided by -8308\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = 2*v + 20. Let u be b(-7). Let w = u + -8. What is the closest to -0.3 in 5, w, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 12 and 383016.\nAnswer: 383016","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.65 to the nearest integer.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 51 = -13*p - 27 for p.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -4.287 - -73.377. What is j rounded to the nearest 10?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -531 + 611. What is the second derivative of 46*p + 58*p**3 + 6*p**3 - 15*p - 72*p - u*p wrt p?\nAnswer: 384*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 1, p: 1, u: 2, y: 3, k: 3}. What is prob of sequence ym?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-3 - 0)\/(1\/7). Let z be i\/90 + (-1)\/(-2). Let h = z + -3\/5. Which is the third biggest value? (a) -1 (b) h (c) 1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 4 - 1)*(-21*g**5 + 14*g**5 - 121*g**5).\nAnswer: -384*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + 117 = 8*s - 10*s, -2*s + 561 = 5*t. Solve 0 = -58*x + 3 + t for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 77618387 to the power of 1\/8, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -3167, -5228, -6185, -6032, -4763, -2372?\n\"Answer: v**3 + 546*v**2 - 3706*v - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*i**4\/25 + 63068*i**3\/25 - 25137864*i**2\/25 + 671769872*i\/5 - 149813659456\/25.\nAnswer: -2*(i - 31132)*(i - 134)**3\/25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/2936747 at most 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 5\/(1444\/380*(-10)\/4)\nAnswer: -10\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -64*t**2 + 778*t**3 + 0 + 3 - 773*t**3 - 15*t**2.\nAnswer: 5*t**3 - 79*t**2 + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 3346616 divided by 32179\nAnswer: 104","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 580728571 to the nearest integer?\nAnswer: 24098","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**6*(a**(-2\/5)*a)\/a)\/(a\/(a**(-1)\/a))**(-12\/7) assuming a is positive.\nAnswer: a**(376\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*i + 31 = -0*i + 2*p, -4 = -2*i + 2*p for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 0 - -2170101?\nAnswer: 2170101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:32 PM and 7:42 AM?\nAnswer: 670","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 19 + -94\/5. Which is the nearest to q? (a) -5 (b) -2 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11057 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -16966*w. Let k(o) = -2*o. Determine c(k(b)).\nAnswer: 33932*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2 (base 3) to base 8.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*r - 2*i = -6, 25 + 83 = 42*r - 44*r + 14*i for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 136\/17 - (-1 - -4). Suppose -9*l + y*l = -8. What is the units digit of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-67 + 79 - 91)*(-2*k**2 + 4*k**2 - k**2) + 2*k**2 + 3*k**2 - 3*k**2 + (4 - 2 - 4)*(0*k**2 + 3*k**2 - k**2).\nAnswer: -81*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 114747637?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 4 + 2029?\nAnswer: 2032","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -2*f + 2. Let w(m) = 25*m**3 - 10*m**2 - 340*m + 100. Let u(p) = -30*c(p) - w(p). Factor u(z).\nAnswer: -5*(z - 4)*(z + 4)*(5*z - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k - 6 = -18. Let o be (-4)\/(-32)*(-8)\/k. Which is the biggest value? (a) -0.1 (b) o (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -k**3 + 68*k**2 - 2*k + 126. Give g(68).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -10*m + 14*m. Suppose 9*w - 6*w - 552 = m. Let a = w + -84. Is a a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0146 rounded to two dps?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -0.2 or 138\/7?\nAnswer: 138\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*w - 13 = -62*z + 59*z, 3*w = 4*z + 2 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 3 (b) 2\/31 (c) -0.7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 230545 divided by 230545?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 1465 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 163793 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 2307706 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 102 - 116. Let u be (16\/l)\/((-6)\/21). Solve -2*b - b = -4*r - 12, -4*r = u*b - 16 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (11 + 1)*(-56)\/(-21). Calculate the greatest common divisor of 16 and a.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine h, given that -h**4\/8 + 1547*h**3\/8 + 32448*h**2 + 2590263*h\/2 = 0.\nAnswer: -78, 0, 1703","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 9.1 - 10. Let c = 1.2 + l. Is 1 < c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find u, given that u**3 - 18*u**2 - 255*u - 700 = 0.\nAnswer: -5, 28","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 641399536 to the nearest integer?\nAnswer: 159","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*x**5\/9 + 1188*x**4 - 42748*x**3\/9 + 64112*x**2\/9 - 14246*x\/3 + 10684\/9 = 0 for x.\nAnswer: 1, 5342","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 5.2 - 5. Let j = 758 - 759. What is the closest to j in v, 16, 4\/9?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 25*l**3 - 8*l**3 + 22*l**3.\nAnswer: 39*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (1 - 2)*1\/(-1). Which is greater: 4\/15 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-6)\/2 - 8\/44*11\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 43*g + 73 - 288 = 0 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 28.94 + -30.94. Put -2\/11, 1, -0.5, r in descending order.\nAnswer: 1, -2\/11, -0.5, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1830440 a multiple of 40?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1775218?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -10*g**4 - 5813*g**3 - 1951718 wrt g.\nAnswer: -40*g**3 - 17439*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*z + 10 - 7. Suppose x + 16 = 17, 0 = -4*o - 3*x + 7. What is the smallest common multiple of z - o*(-2 + 1)*1 and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0328935 rounded to four decimal places?\nAnswer: -0.0329","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-10)\/40)\/(7\/(-8)). Which is the nearest to 0.1? (a) d (b) 4 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = 45*g**2 + g - 1. Let j be b(1). Let i = j - 31. Is i a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 - 18 = 6*g. Let a(o) = -3*o + 5. Let k(x) = -2*x + 4. What is g*a(r) + 5*k(r)?\nAnswer: 2*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Determine n so that n**5\/2 + 2*n**4 - 94*n**3 - 896*n**2 - 2432*n - 2048 = 0.\nAnswer: -8, -2, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = r**3 - 12*r**2 + 7*r - 26. Let s be m(12). Suppose 4*n = 5*c + 165, -4*c = n + 1 - s. Solve 0 = 5*o - 5*x - n, 4*o - 14 - 14 = 2*x for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*t + 21*t - 14*t = 0. Put -4, t, 25, 5 in descending order.\nAnswer: 25, 5, t, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 148.999838 + -149. What is b rounded to 4 decimal places?\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = 2*x**3 + 59*x**2 - 392*x - 10707. Determine i(-30).\nAnswer: 153","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -14*a**2 + 4*a + 3. Let m be j(-1). Let n(r) = r**3 + 15*r**2 - 30*r - 5. List the prime factors of n(m).\nAnswer: 5, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 31365.6 - 31366. Let r = 2 + -5. Which is the second biggest value? (a) r (b) -4 (c) f (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 262*n**2 - 21 + 3494115*n - 234*n**2 - 3494115*n.\nAnswer: 28*n**2 - 21","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 430 bigger than 429?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + (1 + sqrt(252) - sqrt(252)) + -5)**2 + (-2*(sqrt(252) - (0 + sqrt(252))*-3))**2 + 3.\nAnswer: 16132","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -2*r - 2. Determine j(-1).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 168 + -162. Suppose l*o = 17*o - 396. What is the smallest common multiple of 18 and o?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = z**3 - 16*z**2 + 14*z + 18. Suppose c = 5*d, 3*d + 39 = 3*c + d. Let b be y(c). Suppose -288 = -b*w - w. What is the tens digit of w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -237.28067143 to 3 dps.\nAnswer: -237.281","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 n when two letters picked without replacement from hhhhnhmhhnhhnhnnnm?\nAnswer: 5\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*p + 5*o + 10 = 0, -9*o + 97 = 3*p + 82 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 763 is divided by 45?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o + 2 - 12 = 0. Suppose -5*t = 4*a - 16, 0*a - 8 = -4*a - 3*t. Calculate the remainder when -3 - -34 - 3\/(3\/a) is divided by o.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6\/8*800\/110*(-220)\/(-840)\nAnswer: 10\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -223\/2 - -447\/4. Sort 1, 1\/6, r, 42.\nAnswer: 1\/6, r, 1, 42","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 128*n + 84*n + 137*n.\nAnswer: 349*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -15801 + 15798. What is the closest to -1 in 24, 2, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 56283, -4, -414 in decreasing order.\nAnswer: 56283, -4, -414","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**(-1\/3)*v**(-3)*v*v**(1\/3)*v*v**(-4) assuming v is positive.\nAnswer: v**(-5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in one quarter of a gram?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -183 + 35 = -4*q. Is q a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -9*(-1)\/(-96)*-4.\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 825352.2 micrograms to nanograms.\nAnswer: 825352200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0 + 3. Solve -f*c = -2*a + 2, 2*c + 4 = -0*c + 2*a for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 172112087?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*t**2 - 4448*t + 4450.\nAnswer: -2*(t - 1)*(t + 2225)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -f. Let g(s) = 2*s + 11. Let h be (184\/20 + -10)\/((-18)\/(-45)). Calculate h*g(r) - 6*x(r).\nAnswer: 2*r - 22","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a = -6*a. Suppose -2 = -2*h - 2*f, -2*f + 1 - 5 = a. Find the third derivative of -k**2 + 12*k**h + k**2 + 0*k**2 + 15*k**2 wrt k.\nAnswer: 72","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/40 of a microgram in nanograms?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*j + j**3 - j + j**2 + j**3)*(4 + 2 + 3).\nAnswer: 18*j**3 + 9*j**2 + 18*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 59 + -52. Suppose -75 = -p*x - 313. Let j = x - -55. What is the tens digit of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k - 2*k + 2*b = 4, -3*b + 26 = 4*k. Suppose -4*g = -k*g + 260. Is 13 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -198 divided by 81?\nAnswer: -22\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 7\/(392\/6)*(-818)\/409\nAnswer: -3\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 319421?\nAnswer: 37, 89, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 13? (a) -0.1 (b) -0.2 (c) 3\/4 (d) -5 (e) 0.0775\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r - 3*v + 177 = 0, 0 = -2*r - 2*v + v + 70. What is the tens digit of r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*a - 5*a + 1210. List the prime factors of a.\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3947222 and 1331635.\nAnswer: 1163","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 31064, 124206, 279422, 496712, 776076, 1117514?\nAnswer: 1521026","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:01 PM and 8:20 PM?\nAnswer: 139","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 3819, 15376, 34637, 61602, 96271, 138644, 188721?\n\"Answer: 3852*y**2 + y - 34","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0 from 163124299.\nAnswer: 163124299","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 - 2 - -7) + 1 + 0.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-30)\/16*24192\/(-8640)?\nAnswer: 21\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -30134032 (base 5) to base 16\nAnswer: -3a914","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -j**3 + 33*j**2 - 62*j + 10. Let y be s(31). Suppose y = -2*t, -2*b - t = -5*t - 68. Let q = 511 - 199. What is the highest common factor of q and b?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -r**3 - 12*r**2 - 13*r - 6. Suppose -3*l + 7*l + 5*x - 56 = 0, -4*l - 4*x = -52. Let g = l + -20. Calculate the remainder when 28 is divided by b(g).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v - 2*a + 121 - 7 = 0, 4*a + 260 = -2*v. Is (-1 - v)\/(3 + -2) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 11\/4, -0.2, 3, -4\/3, 5, -3 in descending order.\nAnswer: 5, 3, 11\/4, -0.2, -4\/3, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -56 - -62. Suppose -4*g - 3*r - 4 = 0, -9*r + 5*r - h = 5*g. What is the third derivative of 2*z**2 + 36*z**3 - 38*z**g - 15*z**3 + 11*z**3 wrt z?\nAnswer: 192","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 30.02 + -30. Let y = 0.11 - o. What is y rounded to 1 dp?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*((-3*(sqrt(171)*1 + sqrt(171) - sqrt(171))*5 + -5*1*sqrt(171)*-1)*3)**2*-3.\nAnswer: 461700","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -29, -35, -41, -47, -53, -59?\n\"Answer: -6*t - 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -54? (a) -20 (b) 1998 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 24 + -4 - 62 - (11 - (1 + 1)).\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -2*l**2 + 33*l + 3. What is g(16)?\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*z = 2*w - 14, -10*w + 70 = 163*z - 160*z for w.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.01 and 1.8.\nAnswer: -0.018","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.91 - -0.91. Which is the nearest to z? (a) 1\/5 (b) -0.1 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or -30?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -4 + 3?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-105)\/63 + (3 - 16\/12). Solve 0*a - 3*a - 4*f = 0, 2*a + 3*f = y for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = 2*t**3 + 3*t**2 + 7*t - 10. Let m(q) = -q**3 - 2*q**2 - 5*q + 7. Suppose -3*o + 5*x = -16, -2*o + 4*x = -0*o - 10. What is o*m(z) + 5*r(z)?\nAnswer: 3*z**3 + z**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 25521 is divided by 225?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = m**3 - 2*m. Let d(r) be the second derivative of 3*r**5\/20 - r**4\/12 - 2*r**3\/3 - 2*r. What is -5*c(i) + 2*d(i)?\nAnswer: i**3 - 2*i**2 + 2*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p - 4*p + 112 = 0. Suppose -p = 5*b - 161. Suppose -5*g + 4*k = -b, 0*g - 22 = -5*g + 3*k. Calculate the smallest common multiple of 10 and g.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.32124 rounded to three dps?\nAnswer: -1.321","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3339 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 40.80484 grams in tonnes?\nAnswer: 0.00004080484","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -4, -75 in decreasing order.\nAnswer: -4, -5, -75","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Product of -12.7477 and 13.89.\nAnswer: -177.065553","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let -q**4\/7 + 61*q**3\/7 - 950*q**2\/7 + 536*q\/7 + 768 = 0. What is q?\nAnswer: -2, 3, 28, 32","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 0 - -23c?\nAnswer: 23c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -95.35 + 96. Do 1\/4 and i have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.5 (b) 0.3 (c) 0 (d) 8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -78609 or -78100?\nAnswer: -78609","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7054, 79, -3, 4.\nAnswer: -3, 4, 79, 7054","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide 279 by 2.\nAnswer: 279\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y + 4*y + 180 = z, -540 = -3*z - y. Calculate the greatest common factor of 480 and z.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 1, -6, -933, 4 in ascending order.\nAnswer: -933, -6, -1, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in thirteen twelths of a day?\nAnswer: 1560","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y + i = -41, 2*i + 2 = -2*y - 20. Let f = 3 + 31. Let c = y + f. Is 10 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*m**2 + 41842*m - 41840.\nAnswer: -2*(m - 20920)*(m - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-2*(-1 + sqrt(343)) - (2*sqrt(343) + 1)) + 0)*4)**2.\nAnswer: -896*sqrt(7) + 87824","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*o**2\/15 - 797726*o\/15 + 797732\/5 = 0.\nAnswer: -398866, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.1 and 12.39248.\nAnswer: 12.49248","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-8)\/(-20)*5*(-178)\/(-4)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 472743122 to the nearest integer?\nAnswer: 779","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000092647 to 7 decimal places.\nAnswer: 0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + 2 - 4)*(-4*w - 45 + 27 + 7*w).\nAnswer: 6*w - 36","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 62 (b) -2\/9 (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2 + 37\/(-20))\/(434\/1736).\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 97.54 + -81. Let a = -5.61 + 7.45. Let l = p - a. What is l rounded to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 6.869534 nanometers?\nAnswer: 0.000006869534","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -98 - -97 - (-1 + 0 + -160200). Round t to the nearest 100000.\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i + 1134 = 7*i. Let a = 45 + i. Does 13 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-25)\/5)\/(-5) + (2 - 1). Solve 0 = 3*v + 15, 0*m = -c*m - v - 9 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -230.7 - -231. What is the biggest value in -7, 5, b?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 576 divide 22727113?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = 2*r. Let d(s) be the first derivative of -s**5\/30 - 22*s**3\/3 + 26. Let b(h) be the third derivative of d(h). Calculate c(b(y)).\nAnswer: -8*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1242*y**2 + 15744*y - 9944.\nAnswer: -2*(3*y - 2)*(207*y - 2486)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 241.14 + -237. Let c = -3.3 + v. Round c to 1 dp.\nAnswer: 0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 589 minutes before 6:45 AM?\nAnswer: 8:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -1 + 51 + -49 + (-1 - -10)\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = f**2 + f - 2. Let u be i(2). Let k = u + 1. Solve -k = -3*x - 8 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 497031 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 1168958 to the power of 1\/2, to the nearest integer?\nAnswer: 1081","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:37 PM and 5:21 AM?\nAnswer: 584","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (231\/(-44))\/(6\/(-16)). Suppose -h*p + 34 = -5*v - 13*p, 0 = v - 5*p + 2. Let r(l) = -l - 3. What is r(v)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -55, -130, -205, -280, -355, -430?\n\"Answer: -75*r + 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -968*h - 918*h + 2802*h - 916*h - h**2.\nAnswer: -h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2571*r - 1146*r - 7387 + 1292 = 1160*r for r.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zszszzz. Give prob of picking 2 s.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -1*(0 + -3 + 1). Suppose 5*j + 0*j - 21 = a*b, -3*j = -b - 12. What is the lowest common multiple of j and 11?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + 43 = -f, -2*f - 90 = -5*k - 3*f. Suppose 207 = 2*q + k. Suppose 5*t - q = u, u - 2*u = 2*t - 39. Is t composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 41748 to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*n\/n**(1\/58))\/n**(4\/17) assuming n is positive.\nAnswer: n**(1723\/986)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = q. Let w be t(8). Suppose -7*r**2 + 4*r + 4*r**3 - 3*r**4 - 6*r**3 + 4 - w*r**3 = 0. Calculate r.\nAnswer: -2, -1, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1 - 24. Let l = f - -24.9999996. Round l to six decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -90 - -102. Solve 0 = 3*u - 3*d - s, 0*d = u - 4*d - 4 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.7676722ug in tonnes?\nAnswer: 0.0000000000007676722","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p + 0*p + 3 = 0. Let g be (1*p)\/((-6)\/(-6)). Suppose 3*m = m + 3*o - 19, -3*m = -5*o + 31. What is the nearest to m in g, -0.3, -1\/5?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -82 - -82. Factor 0*c - 2\/3*c**3 + d + 2\/3*c**4 + 0*c**2.\nAnswer: 2*c**3*(c - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 44 - (1 - 3) - 6 and 8?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(10)\/sqrt(2) - sqrt(5)) + 3 - -2*(sqrt(5) + -1*sqrt(5)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 9917 (b) 2 (c) 4 (d) 6.85\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1498 - 1153. Which is greater: 1383\/4 or z?\nAnswer: 1383\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*p + t + 17, 3*p + 319*t = 314*t - 37 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (105\/(-22860))\/(-1 + (-68)\/(-64)) and 43\/21.\nAnswer: 2667","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = 2*r**2. Suppose 0 = -f + 4*f - 6. Let j(a) = 0 - f*a + 0 - a. What is d(j(x))?\nAnswer: 18*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -165*q. Let l(d) = d - 4. Let b be l(-5). Let n = b - -8. Let z be m(n). What is the highest common divisor of z and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 6\/745 and 53\/582888.\nAnswer: 2914440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 7813675 to the power of 1\/6, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: ((-16)\/5 + (-3714)\/(-3095))\/((-5)\/(-29))\nAnswer: -58\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 24951 to the nearest integer?\nAnswer: 158","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -5*y**2 - 3*y**2 + 6*y**2. Let b(v) be the first derivative of v**6\/360 - v**3\/3 + 1. Let s(o) be the third derivative of b(o). What is l(s(i))?\nAnswer: -2*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = 5*q**3 - 23*q**2 + 3*q + 30. Determine p(5).\nAnswer: 95","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 68*m - 959 = 197 for m.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of -12 - (14 - -29)*-405.\nAnswer: 3, 5801","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 194\/8 + (-9)\/(-12). Calculate the remainder when o - (-1 + 2 - 1) is divided by 9.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 50\/(-25) - (-150 + -1).\nAnswer: 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 236 minutes before 7:52 PM?\nAnswer: 3:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - q - 4)*(-3 + 3 + 2*q**2) + (0*q + 5*q - 4*q)*(-2*q**2 + 0*q**2 + q**2) + 0 - 2*q**3 + 0 + 79833*q + 1188*q**3 - 79833*q.\nAnswer: 1183*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express -8 - 11 - 9 - 32*u + 27 as h + v*u and give h.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -37\/610 and -59\/9.\nAnswer: 5490","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = 7299*h. Let p(a) = -93*a**2. Determine p(o(n)).\nAnswer: -4954612293*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -50309.1 to the nearest 100000.\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*a + 23 = -3*b, -2774*a + 12 = -2779*a - 2*b for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 412 take away 9?\nAnswer: 403","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000004277 rounded to 7 dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-144)\/(-78) - 4\/2. Let n = -5 - -5.2. Let l = n - -0.1. What is the biggest value in t, -0.06, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 423 and 63?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Add together 201 and 0.7.\nAnswer: 201.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7 + (-8 - (-3 - 0))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -2*r**2. Let w = 76 - 41. Let t(y) = 41*y - 41*y - w*y**2. Calculate t(s(n)).\nAnswer: -140*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -x - 32. Determine d(-32).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 1146230000 to the nearest one million.\nAnswer: 1146000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u = -4*i - 112, -65 = -4*u + 3*u + 5*i. Let m be ((-6)\/9)\/(u\/(-6)). Let n = m - 29\/50. Which is greater: -2 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 90\/(2\/(-7)*(-11)\/22) a multiple of 35?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = 5*j - 3. Let p(f) = -20*f + 11. Let g(x) = -22*i(x) - 6*p(x). Let d(s) = -s. Let k be 6\/(1 + 3\/(-2)). What is k*d(t) - g(t)?\nAnswer: 2*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 1905 to the power of 1\/3, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-8)\/(-6))\/((-14)\/21).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -5.5 (b) 2\/21 (c) -0.98 (d) -3 (e) -0.01 (f) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1589 * 89942.\nAnswer: -142917838","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 3.4059 to 1 decimal place.\nAnswer: 3.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jooujoowcojwowoj. Give prob of picking 1 j, 1 w, and 1 o.\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 15 + -3. Let y be 0 + 5 - 6\/h*6. Suppose -4*u + 170 = 2*a + 42, y*u + 4*a = 76. Calculate the highest common divisor of u and 45.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -p + 4*p + x, 15 - 2 = -2*p - 5*x for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = 291*s**2 - 106*s. Let h(i) = 58*i**2 - 21*i. Let p(b) = -11*h(b) + 2*j(b). Find the second derivative of p(a) wrt a.\nAnswer: -112","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*a - 405 = -5*a. Calculate the remainder when a is divided by 9 + -1 - (13 + -19).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 22.08821 rounded to 0 dps?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*sqrt(2)*-2*-4*2*6.\nAnswer: 576*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z + 0*z = 8, -5*r + 3*z - 12 = 0. Suppose -5*f + 3*c + 459 - 86 = r, 4*c = f - 61. Calculate the highest common divisor of 11 and f.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 3\/9 + 115\/(-336). Suppose -1234 = -3*y - 1237. Which is smaller: p or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*t = -8*t + 5, 5*z + t = 16 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 4156109520 to the power of 1\/2, to the nearest integer?\nAnswer: 64468","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 5, 553, -0.4, -2, 10 in increasing order.\nAnswer: -2, -0.4, 4, 5, 10, 553","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p = -5*m - 27, -25 = -3*p + 5*m + 6. Let f = p - 2. Suppose f = -v - w + 8, w + 0*w = 0. Does 8 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -8.74295398 to four dps.\nAnswer: -8.743","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (50\/50)\/(((-1)\/(-1))\/2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*o + 165 - 36 = -5*v - 34, -v - 29 = -5*o + 2*o for v.\nAnswer: -38","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = 2*r**3 - 2*r**2 - 3*r + 3. Let d be v(2). Factor 4*c - c**3 - 4*c**2 - 2*c**2 + 4*c**2 - d*c.\nAnswer: -c*(c + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = 96*f - 9390. Calculate h(98).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-2387)\/155 + (-6)\/10. Is f < -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h = 7*p - 2*p + 1061, -2*p - h - 431 = 0. Let y = p - -426. Suppose 0*a - 4*a + y = 0. Is a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (9\/16)\/(663\/81328)?\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 4216251?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) be the third derivative of 3283*q**6\/120 + q**5\/30 - 1621*q**3\/3 - 3703*q**2. Find the third derivative of w(n) wrt n.\nAnswer: 19698","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + 5 = -7. Suppose u*w = -0*w. Suppose w*o - 7*o = -413. What are the prime factors of o?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v**5\/2 + v**4\/2 - 37*v**3\/2 - 37*v**2\/2 + 18*v + 18 = 0. Calculate v.\nAnswer: -6, -1, 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000181056 rounded to six decimal places?\nAnswer: -0.000181","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 949585432?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15893 is divided by 662.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15\/20 - (-900)\/(-1584).\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*f*f*f\/f**5*f)\/f**7*f**(-2)\/(f\/((f\/(f*f**(-1\/3)))\/f)) assuming f is positive.\nAnswer: f**(-32\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 503 minutes before 8:06 AM?\nAnswer: 11:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express 6028 - 1050*z - 12047 + 6020 in the form n*z + u and give u.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 69 - 20. Is g a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 596612 divided by 4\nAnswer: 149153","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -2*w**2. Let l be 4\/((-3)\/3) - 2. Let v = -4 - l. Let a(h) = h**2 + 0*h**v - 3*h**2. Calculate g(a(j)).\nAnswer: -8*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*u + 130 = -5*r, -2*u - 5*r - 21703 = -21576 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*w + 4*i + 66 - 18, 96 = -5*w + 2*i. Let s be 2 + 0*5\/w. Sort 5, s, 0 in increasing order.\nAnswer: 0, s, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 359626413?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 2, -3, 3, 9.\nAnswer: -3, 2, 3, 5, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) be the third derivative of 0*a + 4*a**2 + 1\/24*a**4 + 2\/3*a**3 + 0. Let v(p) = 2*p + 7. Give 11*l(i) - 6*v(i).\nAnswer: -i + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 39\/(-1) - 2\/2. Let d = 2049 + -2086. Let m = d - n. Solve 3*k - 4*l - 5 = 0, 0 = m*l + 2 + 13 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 38946 is divided by 493.\nAnswer: 492","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -162, -233, -290, -327, -338?\n\"Answer: u**3 + u**2 - 81*u - 83","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 398442113 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -29.00000124 - -29. What is z rounded to 7 dps?\nAnswer: -0.0000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 166 minutes after 6:34 PM?\nAnswer: 9:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-1)\/(15\/(38700\/(-6))) is divided by 146?\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (11238105\/(-10))\/17*2\/(-3) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -484943359 divided by 6?\nAnswer: -484943359\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 68, 1 in descending order.\nAnswer: 68, 1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 435*v = 437*v + 226. Let y = v + 125. What is the lowest common multiple of y and 9?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = 3*k**2 + 7*k - 3. Let c(a) = -4*a**2 - 8*a + 4. Let y(f) = 2*c(f) + 3*d(f). What is y(-6)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14846915539 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -108 divided by 27\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24 = -4*y - 3*m, -2*m = 5*y - y - 20. Suppose -f = -y, f = 3*u - 6 - 0. Let k be 407\/u + 20\/(-30). What is the greatest common factor of k and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/25 of a meter in centimeters?\nAnswer: 24","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1041992 by -74428.\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -314590 - -3.54451?\nAnswer: -314586.45549","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 32 - 22. Let j(l) = -2 + 12*l - 5*l**2 - 9 + 3 + 4*l**2. What is the smallest common multiple of j(x) and 16?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 150*t - 694227 = -318439 + 1919362. Does 38 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -30 - -52. Suppose -88*c - 792 = -112*c. What is the highest common divisor of i and c?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence khk when three letters picked without replacement from hjlyyjkykyqq.\nAnswer: 1\/660","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-2*s + 3 - 3)*(0 + 2*s + 0) + 5*s**2 + 0*s**2 - 3*s**2 + 4*s**2 - 3*s**2 - 2*s**2 - s**2 - s**2 + 4*s**2)*(3473*s**2 - 7273*s**2 + 3354*s**2).\nAnswer: 446*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 132*p**4 - 2*p**2 + 281 wrt p.\nAnswer: 528*p**3 - 4*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -529 + 147. Let k = -382.3 - v. Which is the third smallest value? (a) -2 (b) 0.2 (c) -0.4 (d) k\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -12*p - 4. Calculate v(-5).\nAnswer: 56","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -23311221 (base 4) to base 11\nAnswer: -33481","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = 11*p - 74. Let g be h(7). Suppose 6*o - 6156 = -g*r + 9*o, r + o = 2054. Is r a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = y - 2 - 0. Suppose 3*c = -2*p + 13, y*p + 12 = 4*c - 2*c. What is the nearest to -0.1 in -1\/10, -4, c?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -165635, -662534, -1490701, -2650136, -4140839, -5962810?\n\"Answer: -165634*g**2 + 3*g - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 21 and 117905424.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 24893136 to the nearest integer?\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 99502181 to the nearest integer?\nAnswer: 463","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:41 PM and 9:23 AM?\nAnswer: 582","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 39*o**2 - 64*o**2 - o**3 + 2*o**3 to the form q + c*o**3 + j*o + l*o**2 and give l.\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = 2*x - 1. Let j(v) be the first derivative of -v**2 + v - 2. Let r(c) = 2*c - 2. Let i be r(4). Determine i*j(g) + 5*b(g).\nAnswer: -2*g + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is -8 at least -12390?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/2? (a) 0.5 (b) -4 (c) 625\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put -1436, 3, -35 in decreasing order.\nAnswer: 3, -35, -1436","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -616.02 - 0.4.\nAnswer: -616.42","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2347118 and 71?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -h**2 + 2*h**2 + 22*h**3 + 0*h**2 + h**2.\nAnswer: 22*h**3 + 2*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 12 - 7. Suppose -w*h - 5730 = 3050. Is (-2)\/(-9) - h\/36 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -227675 divided by 1459\nAnswer: -227675\/1459","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -3, 98859, 3, -1 in ascending order.\nAnswer: -3, -2, -1, 3, 98859","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.39 - 0.21. Let k = j - -0.5. What is the biggest value in -0.4, 0, k?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yr when two letters picked without replacement from {y: 1, f: 2, r: 2}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 80 divide 350560?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = m + 1. Let h be d(2). Suppose -3*z + 1458 = -0*z - h*b, 2*z = -b + 960. Is z a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -l - 6. Let f(g) = g + 1. Suppose r - 3*r - 6 = 2*x, 3 = 3*x. Let v(i) = r*f(i) - c(i). Differentiate v(d) with respect to d.\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.029 + -1.029. Let l = -6073 + 6073.1. Let z = 0.8 - -0.2. What is the closest to 1\/2 in l, z, w?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/(-697*12\/(-204))\nAnswer: -1\/41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 18.4 (b) 2\/17 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -3*r**3 + 15*r**2 - 2*r + 10. Let f be a(5). Factor -39*b**3 + 3*b**5 - 3*b**4 + 30*b**3 + 3*b**2 + f*b**5 + 6*b.\nAnswer: 3*b*(b - 2)*(b - 1)*(b + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -t**2 - 19*t - 90 = 0.\nAnswer: -10, -9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in twenty-seven halves of a millennium?\nAnswer: 1350","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 43\/4256 and -17\/86935488.\nAnswer: 608548416","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -332457*w + 4321925. What is j(13)?\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 47420284?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 809*b + 5*b**3 + 815*b + 808*b - 3229*b + 797*b.\nAnswer: 5*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**(3\/22)*s)**(-11\/4)*(s\/(s*s*(s\/s**(15\/7)*s)\/s))\/(s*(s\/(s*s**1*s))\/s))**3 assuming s is positive.\nAnswer: s**(-165\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 5402987 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 47e44a - 73?\nAnswer: 47e3c7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 32 (b) -0.09 (c) 4 (d) 3\/4 (e) 0.2 (f) 0\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -s**2*t*w**2 - 72*s**2 - 2*s*t*w**3 - 57*s*t*w - s*t + 45229*s*w**2 - s*w + s - 2*t*w wrt w?\nAnswer: -2*s**2*t - 12*s*t*w + 90458*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n - n = 9. Let h(w) = -w**3 - 6*w**2 + 5*w - 4. Let m(z) = -z**3 - 5*z**2 + 4*z - 3. Let c(x) = n*h(x) + 4*m(x). Is 19 a factor of c(-5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -546\/5 - 1\/5*c**2 + 97\/5*c.\nAnswer: -(c - 91)*(c - 6)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -1 + 0 + -1 + -58. Let a be 7064\/(-120) - ((-3)\/36)\/(25\/(-40)). Is a greater than or equal to p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -20*h - 7. Let z(b) = -20*b - 6. Give -4*t(w) + 5*z(w).\nAnswer: -20*w - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (-348752)\/4605 - 96\/360?\nAnswer: -76","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 26, 232, -5 in decreasing order.\nAnswer: 232, 26, 5, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -4, 1, 6?\n\"Answer: 5*k - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 3*b - b. Suppose -b*t + 1281 = -4*k, -2*t - 71 = 4*k - 561. Is t a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 58283.11082 - 58191.11. Let b = 72 - -20. Let j = c - b. What is j rounded to 4 decimal places?\nAnswer: 0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (87\/348)\/((-2)\/16).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -77 - -c28?\nAnswer: b91","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 228.7192ml?\nAnswer: 0.2287192","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 - 0) + (21 - 17).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-3*i - i**2 + 3*i)*(-1 + 1 - 1)*(3 - 3 - 1) + 6*i**2 - 2*i**2 - 2*i**2)*(857 - 56*i + 37*i + 18*i).\nAnswer: -i**3 + 857*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -127 + 127.0808. Let m = d + -6.9408. Round m to zero dps.\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 151467866 a multiple of 1291?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -3608 and 0.5?\nAnswer: -1804","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1 - 1.3. Let b(f) = -f**2 - 3*f - 2. Let z be b(-2). Is o less than or equal to z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = 2*k**3 + 15*k**2 + 11*k + 1693. Let q(u) = -u**3 - 8*u**2 - 6*u - 847. Let f(o) = 3*m(o) + 5*q(o). Is f(0) a multiple of 60?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3.763 - 3.863. Suppose -5 = -o - 0*o. Which is the second smallest value? (a) n (b) 1 (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = j**3 + 6*j**2 - 15*j - 10. Calculate the least common multiple of 678 and k(-5).\nAnswer: 10170","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = 36 - 2027*k - 12 + 23 + 2029*k. Determine r(-33).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 124, 236, 348, 460, 572?\nAnswer: 684","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3641 + 3679. Let j = -0.102 + -41.898. Let y = u + j. Which is smaller: 1 or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -155 = 18*r - 137 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 595.1639 millimeters?\nAnswer: 595163.9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -132 + 136. Suppose 2*w - 2 = 4*z, a*w - w = 3*z + 3. Put -8, -2, z, 8 in decreasing order.\nAnswer: 8, z, -2, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/1*(-12)\/16?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -z**4 - 479532*z**3 + 1438602*z**2 - 1438604*z + 479535.\nAnswer: -(z - 1)**3*(z + 479535)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 19240 and 2074960?\nAnswer: 1480","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = 72*w**3 + w**2 + 4*w - 7. Is t(2) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 2\/5, 0.1, -7, 25\/6, -21\/29 in increasing order.\nAnswer: -7, -1, -21\/29, 0.1, 2\/5, 25\/6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 21278 is divided by 179?\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 43 = -3*b + 55, 17303 = 5*k + 2*b. Which is smaller: k or 3458?\nAnswer: 3458","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 6*d**3\/7 - 596838*d**2\/7 + 2120458830*d - 6360609150.\nAnswer: 6*(d - 49735)**2*(d - 3)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is -126\/87239 at most 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 times 6.89?\nAnswer: -6.89","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find w, given that -2*w**4\/15 + 718*w**3\/15 - 16702*w**2\/5 - 2689838*w\/15 - 2639012\/15 = 0.\nAnswer: -34, -1, 197","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express (-o + 3*o - o)*(-4 + 2*o + 4) + 101*o**2 - 53*o**2 - 49*o**2 in the form r + x*o + a*o**2 and give a.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 10204 + -153118\/15. Find the common denominator of 53\/9 and f.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + 2*v = -15434, 7499 = 4*d - 4*v - 7933. Is 227 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 119\/10 and (-1410)\/(-20)*2\/(-24).\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 274\/81 - 4\/81. Suppose 0 = -5*q + 3*q + 10. Determine y so that -6*y**q + 4\/3*y**2 - o*y + 28\/3*y**3 + 2\/3 - 2*y**4 = 0.\nAnswer: -1, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3 - -9. Calculate the smallest common multiple of (2\/(-3))\/((-2)\/6) and s.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sil when three letters picked without replacement from xijjisjslisijl.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 11255, 22446, 33615, 44756, 55863, 66930?\n\"Answer: -d**3 - 5*d**2 + 11213*d + 48","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o = -5*j + o, 0 = -5*j + 5*o. Let x = j - 1. Let a be 61\/5 + x\/5. Solve -2*y = -a + 2 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-2)\/(-60)*34\/((-204)\/(-27)). Sort 0, d, -5\/17.\nAnswer: -5\/17, 0, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in 1\/9, -8, -19.97, 10?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 110332 (base 4) to base 5\nAnswer: 20332","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 48 = -2*n - 36. Let o = n - -36. Let p(u) = -u**3 - 6*u**2 + u + 5. Let x be p(o). Sort 3, 4, x.\nAnswer: x, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.75671 + -0.7567228892. What is k rounded to 6 decimal places?\nAnswer: -0.000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 27 divide (62\/4)\/(12\/24)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*a**3 + 0*a**3 - a**3 + (3*a**2 - 2*a**2 + 0*a**2)*(a - 4*a + 5*a) + 3*a**3 - 3*a**3 - a**3 + 2 - 2 - 4*a**3 + (a**3 - a + a)*(-2 - 2 + 6).\nAnswer: -2*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:04 AM and 11:13 AM?\nAnswer: 249","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -210.5 + 215.5. Which is the third biggest value? (a) -1 (b) 1\/2 (c) -21\/5 (d) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 99\/34 and -23\/4.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = j**3 - 8*j**2 + 9*j - 3. Let y be r(7). Suppose 5*g - y - 9 = 0. Sort g, 1, 1\/5 in decreasing order.\nAnswer: g, 1, 1\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 40467650.9 to the nearest one thousand.\nAnswer: 40468000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 583 minutes after 3:08 PM?\nAnswer: 12:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor 88 - 17*w + 4*w**3 - 14*w - 15*w**2 - 73*w**2 - 23*w + 50*w.\nAnswer: 4*(w - 22)*(w - 1)*(w + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = 4*h**3 - 3*h**2 + h - 15. Let u(p) = -21*p**3 + 16*p**2 - 5*p + 73. What is 11*n(k) + 2*u(k)?\nAnswer: 2*k**3 - k**2 + k - 19","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -626*m = -28*m - 2990 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 46573 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -25 - -8. Let o = k + 25. Let f = -5 + o. Which is the closest to 2? (a) f (b) -4 (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) be the first derivative of -3*y**2\/2 + 3*y + 2. Suppose 4*f + 3 = -13. Let b be d(f). Calculate the highest common divisor of b and 30.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = 4*q - 3. Let g(k) = -7*k + 5. Suppose -2*v = -5*t - 7, -5*t = -0*v - 3*v + 3. What is t*g(y) - 5*x(y)?\nAnswer: y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 42926\/9 or 4771?\nAnswer: 4771","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in fifty-one fifths of a litre?\nAnswer: 10200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 3 + 0 - -1 - 1. Suppose -88 = -n - o*n. Let x = 64 - 40. Solve 3*z = -4*b + n, 3*z - x = -5*b + 2 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2 - 18\/10 - (-7)\/(-35). Suppose s = -3*m - 4*v + 258 + 140, -3*v = -6. Does 13 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 44 - 28. Suppose -2*r - n = -6*r. Suppose r*u - 3*c - 14 = 0, u - 4*c = 2*u - 13. Let o(t) = t**3 - 5*t**2 - t + 6. What is o(u)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -8 - -42. Let s(c) = c**3 + 6*c**2 + 8*c - 6. Let y be s(-5). Let l be ((-102)\/4)\/(y\/42). What is the highest common divisor of l and v?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2*1*48\/(-1056).\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -33035 by 635.\nAnswer: -6607\/127","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (16\/48)\/(2\/(-18)). Let d be 30\/(-20)*10\/(-3). Let k = 830\/9 + -92. What is the closest to -2 in r, k, d?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 439570 divided by -5\nAnswer: -87914","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 306\/89 or 2?\nAnswer: 306\/89","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -2*y**2 + 66*y - 178. Let f be s(30). Sort -6, -27, f in ascending order.\nAnswer: -27, -6, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 381153 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 252 and 594?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-12)\/176 - 4\/(-16). What is the third smallest value in 6, -5, u?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 175*v = -12*v - 180*v + 61*v - 15300 for v.\nAnswer: -50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2251354?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + 4*y - 40 = 2*y, 2*i = 5*y - 12. Let o be (-6)\/(-20) + 4\/i. Sort -0.1, -1\/4, o in increasing order.\nAnswer: -1\/4, -0.1, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3004634273 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -5, -0.5, -0.07, -2?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -2212.8 and 1049.5?\nAnswer: 3262.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(1*(2*(sqrt(114) - (sqrt(114) + sqrt(114) + sqrt(114)*-1)) + (sqrt(114) - (sqrt(114)*2 - sqrt(114)))*1)\/(1*(-2*sqrt(384) - sqrt(384))))**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 17729 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 468 and 18756?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 4751?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*m - 4*l + 1, 4*m - 3*l + 3 = -4. Let g = m - -12. Calculate the smallest common multiple of 11 and g.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 9143 and 421024.\nAnswer: 223","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 9 - 6. Suppose 0 = -q*h - p + 81, -3*h - 3*p + 6*p + 81 = 0. Suppose r + 3*s = -3*r + 63, -r - 3*s = -h. Solve 2*f + 2*f - r = 0 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = 4*p**2 - 13*p. Let b(y) = -y**2 + 3*y. Suppose 29 = g + 3. Calculate g*b(d) + 6*h(d).\nAnswer: -2*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2233 or -310897?\nAnswer: -2233","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 1250?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 1\/6, 3, -7, 0.2?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u and 2 r when three letters picked without replacement from uudddpqudrdr.\nAnswer: 3\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 218 is divided by 102?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 2, a: 3, x: 3}. What is prob of picking 2 b, 1 a, and 1 x?\nAnswer: 9\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -12*b - 12*b - 4*b + 29*b. Let h(u) = -8*u + 1. Let l(d) = h(d) + 5*z(d). What is l(1)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -4 - -9. Let t = 45.94 - 0.94. Let n = -49 + t. What is the biggest value in -0.3, n, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 20, -87, -0.4, -1\/4, 0.5 in descending order.\nAnswer: 20, 0.5, -1\/4, -0.4, -87","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -308 - -4006\/13. Which is the nearest to -4? (a) o (b) 1 (c) 2\/21\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 15 + -1 + (-9 - -13 - 10)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-4 + 1)*6\/(-9). What is the tens digit of (u - 5)*(2 - 7)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-4)\/5*(-5)\/2. Let l(y) = y - s - 2 + y. What are the prime factors of l(6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -110*q. Let u(r) = r**2 + 241. What is h(u(l))?\nAnswer: -110*l**2 - 26510","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 78*o - 71*o - 28 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 471329 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 224 - 224. Suppose -3*i - 109 + 979 = f. What are the prime factors of i?\nAnswer: 2, 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 24759610 is divided by 8253200.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0262 + -331.276207?\nAnswer: -331.302407","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + 5*g + 26 = 5, -5*l = -2*g - 36. Find the third derivative of f**l - 4*f**6 + 12*f**3 - 12*f**3 - 5*f**2 wrt f.\nAnswer: -360*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 307 divide 60045?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 2704 divided by 4?\nAnswer: 676","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1017\/(-27) + 7 - 140\/(-21).\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**4\/((c*c**(-6))\/c))\/(c**(-1\/5)*c**(4\/3)*c))\/((c*c**(-2\/5))**(1\/9))**(-34) assuming c is positive.\nAnswer: c**(152\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1054444.\nAnswer: 2, 263611","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o*o\/o**(-9\/2))\/((o*(((o*o*o*o**(-9))\/o)\/o)\/o)\/o))\/((o*o**(-4))\/o**(3\/5)) assuming o is positive.\nAnswer: o**(191\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 51\/4 of a millennium?\nAnswer: 1275","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let 17*o**4\/4 + 63*o**3 - 331*o**2\/4 - 81*o\/2 + 56 = 0. Calculate o.\nAnswer: -16, -14\/17, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = 2*i**3 - 170*i**2 - 320*i + 1046. Calculate a(87).\nAnswer: 3482","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = w**2 + 6*w + 6. Suppose 94*a - 65*a + 145 = 0. Determine n(a).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1585978?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0852605 centuries in decades?\nAnswer: 0.852605","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 3065590631 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d - 2*n = -0*n - 1614, 2*n = 2*d - 1086. Suppose 0*s + 4*s + d = 0. Let k be 15\/s*(-2)\/1. Which is the nearest to -1? (a) 1\/5 (b) -0.5 (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.303 - 144.303. Let r = 143.9999586 + j. Round r to six dps.\nAnswer: -0.000041","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = q - 8. Let d be i(-2). Let b be (-28)\/(-35)*d\/(-52). Sort 4, 0.1, -3, b in descending order.\nAnswer: 4, b, 0.1, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 79\/1362 and 39\/8?\nAnswer: 5448","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*i**3\/5 - 4389*i**2 - 65856*i\/5 - 43908\/5.\nAnswer: 3*(i - 7318)*(i + 1)*(i + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 11, -17, 2\/3, 16?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*g = -8*g - 60. Let x be 7\/((-42)\/(-846)) - 2. Suppose 217 - 32 = 5*s - w, 4*s = -w + x. What is the greatest common divisor of s and g?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -34*n + 229. Let c be g(5). Suppose -274 = -0*i - i. Suppose c + i = 3*h. Calculate the remainder when h is divided by 16.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5017643 to the nearest integer?\nAnswer: 2240","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -40*a**4 + 269*a**3 - 4*a**2 - a - 275282 wrt a?\nAnswer: -160*a**3 + 807*a**2 - 8*a - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 245443 + -1?\nAnswer: 245442","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 56574 a multiple of 63?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 29312 a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 63*h + 170 = 65*h. Suppose -16*r - h + 405 = 0. Calculate the remainder when r is divided by 6.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*h + 4420 = -2980. Let s = h - -374. Solve w = s*w + 9 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h = -3*v + 3, -4*v + 0*h = 5*h - 40. Solve 2*z - 13 = -v*w + 10, 3*z = -2*w + 18 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 divided by 682?\nAnswer: 5\/682","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4 + 1 + 6*(sqrt(1584) + 0 + sqrt(1584)) + (1 + -2*sqrt(1584) - (-1 + sqrt(1584) + -5)))*-4)**2.\nAnswer: 41472*sqrt(11) + 2055168","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z = -0*z. Let l = -2434 + 2439. Which is the fourth smallest value? (a) l (b) -0.1 (c) z (d) 0.01\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) -0.1 (b) -157 (c) -2\/1457 (d) -5 (e) 18\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a millennium in decades?\nAnswer: 25","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + -2 + 1 + 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -11*q**5 + 4*q**5 + q**5 + (-q**3 - q**3 + 3*q**3)*(1 + 2*q**2 - 1) + 1 - 1 - q**5 + (q**3 - 2*q**3 + 3*q**3)*(5*q**2 + q - q).\nAnswer: 5*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.5256 and 0.4.\nAnswer: -0.21024","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 17, x: 1}. What is prob of picking 3 t?\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 423103 (base 5) in base 3?\nAnswer: 201102012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -363*j**3 + 6*j**2 - 12. Let q be s(-4). Suppose 5*v + 24*v - q = 0. Calculate the remainder when v is divided by 26.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = j + 2. Let d(o) = 2. Suppose -3*m = z - 2*z + 18, 0 = -5*z - 3*m + 18. Determine z*k(c) - 5*d(c).\nAnswer: 6*c + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1852 is divided by 18?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/6? (a) -2 (b) 689 (c) -15 (d) -1\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -14021, -28107, -42193, -56279?\n\"Answer: -14086*c + 65","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 240 - 239.99999634. What is p rounded to seven decimal places?\nAnswer: 0.0000037","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2572*z**4 - 3*z - 4*z**2 - 2570*z**4 + 4*z + 1 + 7*z**3 to k*z + y*z**2 + v*z**4 + u*z**3 + h and give k.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 2 - -12264240?\nAnswer: 12264242","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (29 - 29 + 2*u)*(1 - 2*u + u + 0*u).\nAnswer: -2*u**2 + 2*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -41436194.71044 - -41435246. Let n = 944.71 + z. Let b = n - -4. Round b to four dps.\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 119 + -120.93. Let x = -1.92999758 - r. Round x to seven decimal places.\nAnswer: 0.0000024","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.189173 rounded to 3 decimal places?\nAnswer: 0.189","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = 5*k + 28. Let h be (5 - 19\/5)*-5. Give m(h).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 699955 is divided by 123?\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -0.7 (b) 1\/2 (c) 0.066\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/6286, 1, 2\/7 in descending order.\nAnswer: 1, 2\/7, -1\/6286","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 644, 1287, 1918, 2531, 3120, 3679?\n\"Answer: -n**3 + 650*n - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*k + 2*i = 19, 4*k + 4*i + 3119 = 3151 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find c such that -40*c**2\/11 + 82*c\/11 + 92214\/11 = 0.\nAnswer: -47, 981\/20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-6)\/12)\/((-3)\/(-18)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 203\/(-49) + 3\/105*5\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -q**2 - 7*q - 5. Let o be k(-6). Let c be (3 + (2 - 4))*12\/69. Is c at least o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4224547?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -115670885*p**3 - 97804054*p wrt p.\nAnswer: -694025310*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + 16 = 5*q, 2*q = -0*t + t + 2. Suppose q*l - l - 7 = 0. Suppose -4*x + 136 = 32. What is the remainder when x is divided by l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 6 - 4. Let t be (65\/(-10))\/(a\/(-12)). Suppose 0 = -3*o + t + 396. Is o a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1972 divided by -8?\nAnswer: 493\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 5? (a) -1\/4 (b) -1 (c) 0.1 (d) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 2, 19, -3\/5, -2\/7, -0.05?\nAnswer: 19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 589*r**5 + 375*r**2?\nAnswer: 35340*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -111302033 - -1010?\nAnswer: -111301023","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3 - 18 = -5*z + 5*w, -5*z - 30*w + 29 = -28*w for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 664.923t?\nAnswer: 664923000000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -2924*r + 136. Let n be (598\/(-4) - (-12)\/8) + 12. Let v(h) = -65*h + 3. Give n*v(d) + 3*j(d).\nAnswer: 68*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) be the third derivative of o**6\/120 - o**5\/6 - 11*o**3\/6 - o**2. Let h be j(10). Let f = 21 + h. What is the smallest common multiple of 18 and f?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 40 (b) 0.2 (c) 481 (d) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 955958?\nAnswer: 2, 431, 1109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y + 455 = 5*c, -3*c + 3*y = -463 + 193. Calculate the remainder when c is divided by 14.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15069989.\nAnswer: 11, 37, 61, 607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 29891 and 421.\nAnswer: 421","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3 - 3. Suppose t = 2*l - 3*f - 53, -3*f + 24 = l - 7*f. Does 14 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 20*p - s - s + 125 - 15, -p + 3*s = 107 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 894250 is divided by 88.\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (57\/(1 - 0))\/(6\/6). Suppose 2*j = 15 + g. What is the units digit of j?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -14*g**2 + 8*g + 15. Let a(u) = -5*u**2 + 3*u + 5. Suppose 32*z - 174 = 90*z. What is z*v(s) + 8*a(s)?\nAnswer: 2*s**2 - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express (-s**2 + 374*s - 681*s + 283*s - 338)*(s - s + 2*s) in the form n + d*s**2 + m*s**3 + b*s and give m.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.004489105512 to 5 dps.\nAnswer: -0.00449","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1876*b**3 - 839*b**3 - 2*b**2 - 803*b**3.\nAnswer: 234*b**3 - 2*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 2 (b) -0.4 (c) -0.1 (d) 3\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1572397381 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -1108, -1104, -1098, -1090?\n\"Answer: k**2 + k - 1110","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(-1*(1*sqrt(272) + sqrt(272) - sqrt(272)) - (5 + -2*sqrt(272))**2)*-3*-6*-1*6.\nAnswer: -721224 + 49248*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 152291 to the power of 1\/5, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 7\/23 in 0.1, 1\/2, -0.2, -12, -27\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-4)\/1*51\/(-6). Suppose h = 2*y - 18. Does 19 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 52, 106, 160?\nAnswer: 214","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -149 in 9, -8, 0.543, -1?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 1 v when two letters picked without replacement from wzuvuwzuzwzzzzzuwwu.\nAnswer: 5\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + 2*t = -5*q + 290, q - 4*t - 58 = 0. Calculate the remainder when q is divided by 4\/10 + 146\/10.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aa when two letters picked without replacement from {t: 1, a: 2, x: 1, g: 12, y: 1}?\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = 9 - 9*a + 19*a - 2 - 16*a + 15*a**2 + a**3. Is s(-15) a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1317 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: Factor 2*j**4\/3 - 6*j**3 + 20*j**2\/3 + 24*j - 112\/3.\nAnswer: 2*(j - 7)*(j - 2)**2*(j + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1\/18 - 5\/18. What is the closest to z in 1, 0.4, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qdq when three letters picked without replacement from {j: 1, u: 6, q: 2, e: 1, d: 1, k: 4}?\nAnswer: 1\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.3 (b) -10 (c) -1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (2\/4)\/(3\/6). Let m be (2 - 0)\/(-2*i). Sort 0, m, 3 in increasing order.\nAnswer: m, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2164677 is divided by 116?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = 177733*h**2. Let a(b) = 4*b**2. Give v(a(t)).\nAnswer: 2843728*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6685ba (base 12) to base 16.\nAnswer: 18e75e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 38334 is divided by 35?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2668001?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -2*b + 4*b. Let s be 3 - (b + (0 - -3)). Suppose 3*l - 117 = -s*f, -2*f + 3*l + 39 = -44. Is 18 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 96034 + -5.\nAnswer: 96029","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1400\/(-20) + (1 - 2)*-1. Let r = 98 + d. Let m = -4 + r. Is m a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -4*k**3 + 1. Let f = 92 - 82. Suppose -15 = -5*i - f. Give v(i).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12201 to the power of 1\/6, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 112 + -95 - (28 - 2)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3887 + 5477. What is w rounded to the nearest one hundred?\nAnswer: 1600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:16 PM and 9:21 PM?\nAnswer: 305","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1077*y**2 + 752*y**2 - 403*y**2.\nAnswer: 1426*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 40362252*c**4 - 41257*c + 397.\nAnswer: 484347024*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j + 0*j + 4 = 0. Is j\/(-5 - -3) - -53 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 1008171 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 22032 - 1?\nAnswer: 22031","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -39 + 33. Let h be (4\/28 + i\/(-7))*0. Suppose -n + 70 - 13 = h. What is the remainder when n is divided by 14?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-56)\/(-63))\/(145\/(-261))?\nAnswer: -8\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-9 + 3 + 3 - 4 - 3 + 5 + (-4 + 1 + 2)*(-1 + 0 + 3))*(0 - 9 - 2)*(-6 - 4*j + 6).\nAnswer: -308*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -4*f**2 - 11*f - 11. Let l(v) = -v - 3 + 3 - 1 - v**2. Let g(a) = 6*l(a) - u(a). Let s(t) = -3*t**2 + 8*t + 8. Determine 8*g(j) - 5*s(j).\nAnswer: -j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 7918281 and 504.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (1 - 1426)\/((967\/(-482) - 4) + 6). What is f rounded to the nearest 10000?\nAnswer: 230000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 112*d - 108*d = y + 4, -d + 1 = -5*y for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000015458 to 7 dps.\nAnswer: 0.0000015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9\/21 - (-10)\/(33810\/(-1743))?\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -37a + -1?\nAnswer: -37b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Add together 4022225 and -49.\nAnswer: 4022176","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/49? (a) 1 (b) 14\/9 (c) -1906\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3*i**2*w**6 + 7*i**2*w**4 + 21*i**2 + 3*i*w**2 + 4*w wrt w.\nAnswer: -360*i**2*w**3 + 168*i**2*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*l**2 + 2*l**2 - 8*l**2)*(0 + 2 - 1 + (-4 + 0 + 2)*(-3 - 2 + 3) - 2 - 3 + 7 + 2 - 5 + 7).\nAnswer: -88*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -15*(-5)\/(-30)*-2.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = 3*k**2 + k + 1. What is the remainder when r(-4) is divided by 8?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 538\/51, -0.9, -2, 1\/16, -4?\nAnswer: -0.9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 15742 and 34.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 3399, 1299 in descending order.\nAnswer: 3399, 1299, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -6206, -6242, -6276, -6308, -6338, -6366, -6392?\n\"Answer: c**2 - 39*c - 6168","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*l**2 + 4*l**2 + 4*l**2.\nAnswer: 20*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 49 + -3. Is a a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 152 minutes after 2:13 AM?\nAnswer: 4:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 12348 and 7560?\nAnswer: 370440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = 8*o**2 - 5*o - 4. Let s be x(4). Let m = -1 - -21. Suppose -22*v = -m*v - s. List the prime factors of v.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -l**2 + l - 1. Let u(m) = -6*m**2 - 4*m - 4. Let j(k) = u(k) - 5*x(k). Let i be j(-6). Suppose 5*h = 0, 4*d - i = -4*h + 45. Does 10 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*4*(sqrt(204) - (sqrt(204) - (sqrt(204) - sqrt(204)*2*-5))))\/((5*2*sqrt(120))\/(sqrt(810)*2 - sqrt(10))).\nAnswer: -374*sqrt(17)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Add together -4.154 and -1947579961.4.\nAnswer: -1947579965.554","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 11655\/4 or 2914?\nAnswer: 11655\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -d**3 + 6*d**2 + 3. Let v be f(6). Suppose -w = -3*z + 20 + 3, 0 = v*z + 2*w - 8. Calculate the least common multiple of 8 and z.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vrvrv. Give prob of sequence vvrv.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = 5*i**2 + 10*i + 23. Suppose 5*g - 73 = -28. What is the tens digit of v(g)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 9 + -7. Suppose 5*o + 42 = -3*b - 66, 3*b + u*o + 108 = 0. Let p = -6 - b. Calculate the greatest common divisor of p and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (17\/4 - 4)*(1 - 1). Suppose 5*x + y - 27 + 13 = j, 6 = 3*x + 3*y. Solve -x*c + 32 - 44 = 0 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u - 1557693 = -322393. Suppose -17*a + u = 8*a. Is a a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p = 6*p - 966. Suppose 3*b - 474 = -t + 4*t, -t = 2*b - p. What is the hundreds digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 216\/165 + (-44)\/10 + 4. What is the nearest to 0 in 4, m, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*v - 1394 = 106. Calculate the lowest common multiple of 8 and v.\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 14 + 176*o + 506*o - 14 + 1996*o - o**2 as g*o**2 + k*o + b and give k.\nAnswer: 2678","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2315, 2318, 2319, 2318?\nAnswer: 2315","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -6*z**2 + 19*z - 68. Give o(3).\nAnswer: -65","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -1 - 49?\nAnswer: -4a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 10.01054 rounded to two dps?\nAnswer: 10.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.29493563 rounded to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*c\/((c*c**0)\/c))\/((c*c*c**(1\/5)*c)\/c)*c**(-4)\/((c\/(c*c**(1\/2)*c))\/c) assuming c is positive.\nAnswer: c**(-17\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 + 0 - (-6 + 16 + -7)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 120.1969125ns?\nAnswer: 0.00000000000019873828125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is x in -x**4\/4 - 7387*x**3 - 177165*x**2 - 620024*x - 590480 = 0?\nAnswer: -29524, -20, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 173 to the power of 1\/2, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 73, -1, 2, 3, -8, 5, 1980 in decreasing order.\nAnswer: 1980, 73, 5, 3, 2, -1, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -10*b**2 - 14*b. Let v(n) = 3*n**2 + 4*n. Let q(z) = -2*a(z) - 7*v(z). Let p(l) = 38*l. What is p(q(x))?\nAnswer: -38*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s - 144 = -16. Suppose 254 - s = 3*x. Round x to the nearest 10.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**(1\/5)*w)\/(w*w\/((w*w**(-1\/13))\/w*w)*w))\/(w**18*w\/((w\/w**9)\/w*w)) assuming w is positive.\nAnswer: w**(-1812\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -q**3 - 4*q**2 - q - 1. Let g be d(-4). Suppose -7*x - 25 = -2*x. Let t = 420 - 421. Sort x, g, t in decreasing order.\nAnswer: g, t, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -528499, -1056597, -1584695, -2112793?\nAnswer: -2640891","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3)\/(-2)*(-12)\/(-9).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(162) + -3 + 5 - sqrt(162)) + 1 + 0 + sqrt(162))**2.\nAnswer: 54*sqrt(2) + 171","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2\/1631 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4052, -4071, -4104, -4151, -4212?\nAnswer: -4287","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eieieeieiieeeiei. What is prob of sequence ei?\nAnswer: 21\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s - 30 = -95. Let y = 17 - s. Determine u so that y*u**4 + 0*u**4 - 3*u**4 + 6*u**3 + u - 2*u**5 + u - 7*u**2 = 0.\nAnswer: -2, 0, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -36*f - 2301. Let y(k) = -7*k**3 - k - 1. Calculate the remainder when y(-1) is divided by o(-64).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-7\/6)\/r)**(-3) assuming r is positive.\nAnswer: r**(13\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 - -21092?\nAnswer: 21091","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -n - 2484923*n**2 - 5662434*n**2 + n.\nAnswer: -8147357*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*t**4 - 1729954*t**3 - 3459916*t**2.\nAnswer: 2*t**2*(t - 864979)*(t + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 8\/7 - 54\/35. Let h = -2 - 2. What is the third biggest value in h, 5, u?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:36 AM and 5:18 PM?\nAnswer: 402","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 = -3*g + 49. Let m(c) = -c + 10. Calculate the remainder when (4\/(g\/27))\/1 is divided by m(5).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*i + 4*c - 24 = 2*i, -5*i = -2*c - 2. Solve a - 3*y = -10, a = i*a + 4*y - 4 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k = -n + 5 + 21, 4*n - k = 59. Suppose -5*f + 76 = n. Suppose 16*v - 116 = f*v. Solve 4*p - 14 = 3*j, -v = -4*p - 4*j - 1 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 18 (b) -6 (c) -11 (d) 0.6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(3) + -3 + (sqrt(3)*1 - sqrt(3)) + sqrt(24)\/sqrt(512))**2.\nAnswer: -27*sqrt(3)\/4 + 819\/64","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*d + 64 = 14*d for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 193656144?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 748 - 916 = -14*c. Suppose 3*j + 3*b = 192, -j = -4*b - 18 - 26. What is the highest common divisor of c and j?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 897 is divided by 155.\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2538 - -2581. Let s = -56 + 15. Let t = -26 - s. What is the remainder when h is divided by t?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1*(-8)\/((-8)\/9)*1.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3887.049 - -3883. Let h = l - -0.049. Which is the nearest to 1\/2? (a) 0.22 (b) 0.4 (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 21*q - 16*q - 11*q + 21*q + 31*q.\nAnswer: 46*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2069609?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 682 is divided by 162?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -31 + 9 + 2 + 17?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 222 + -111220200120111?\nAnswer: -111220200112112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -100*f + 46*f + 717 = -1741 + 82 for f.\nAnswer: 44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -32 times -167901\nAnswer: 5372832","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/(-5)*22\/(-22)*5\/(-6)\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 641127 and 141.\nAnswer: 141","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-128 - -182) + (2 - 19)?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -5*o + 122. Calculate h(27).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 25*-27.\nAnswer: -675","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u = 4, -24*c + 8695 = -25*c + u. Is 6\/(-6)*c\/3 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-342)\/(-12)*2\/3. Suppose -k + 5*s - t = 0, 0 = -2*k + s + 3*s - 8. List the prime factors of k.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 1 m when two letters picked without replacement from {m: 1, d: 1, j: 2, r: 1, z: 1, i: 1}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -1. Let b(s) be the first derivative of s**3\/3 - 2*s - 5. What is -b(p) + 2*t(p)?\nAnswer: -p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 13.69 + -20.69. Which is the second smallest value? (a) -3 (b) -1 (c) w (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -4*o + k + 8, -4*o + 12 = 2*k. Solve -1 = 2*m + o for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:08 AM and 1:33 PM?\nAnswer: 145","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (996030\/(-3348))\/((-140)\/(-8))?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 16170 divided by -1617?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.04564 - 48.09436. What is c rounded to 0 decimal places?\nAnswer: -48","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 779\/42 - 180\/7. What is the common denominator of i and -19\/14?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 27523 and 221?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -75*j - 225 = -30*j for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 62152198*u**3 - 94315938*u.\nAnswer: 372913188*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 12688690 and 42.\nAnswer: 532924980","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = 5*j - 22. Suppose 4*r - k = 11628, 2*k + 8734 = 3*r - j*k. Is r prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4\/30)\/((-121)\/(-1452)).\nAnswer: 8\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from geggnnezneezzz. Give prob of sequence znzn.\nAnswer: 3\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10442?\nAnswer: 2, 23, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -21\/976 and -59\/310368.\nAnswer: 310368","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 507135 to the power of 1\/5, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k = -3*o - 252, 0*o - 6 = -2*o. Let q = k + 83. Let v(i) = -i - 1. Let s(w) = 5*w + 6. What is q*v(n) - s(n)?\nAnswer: -n - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*h - 4*l = 10*h - 72, 4*h + l + 47 = 0. Let u = 49 + -46. Put h, u, 4 in ascending order.\nAnswer: h, u, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12 - 61*l - 39 - 56*l - 54*l + 237*l - 65*l.\nAnswer: l - 51","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*d**3 - 16*d**3 + 3*d**3 - 8*d**3.\nAnswer: -14*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (0 - -1)\/(1\/(-3)). Let l = -8 - -10. Which is the second smallest value? (a) l (b) -5 (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 55\/133 and -49\/114.\nAnswer: 798","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -51*w**6 + 317*w**2 wrt w?\nAnswer: -6120*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4103, 4105, 4107, 4109, 4111, 4113?\nAnswer: 4115","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -9 - -9. Is 0 + f + 3 + 16 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = q - 4. Let y(w) = -3*w + 11. Let a(i) = 11*c(i) + 4*y(i). Let u(b) = b**2 - 4*b. Let m(x) = -x. Let z(h) = 4*m(h) - u(h). Determine z(a(s)).\nAnswer: -s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -707 + 702. Let s(n) = -2*n**2 - 3*n + 1. Let u(l) = 3*l**2 + 4*l + 3*l + 0*l - 3. Let b(o) = y*s(o) - 3*u(o). Give b(5).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -23754 (base 15) in base 13?\nAnswer: -3c5a7","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 116534404.\nAnswer: 2, 7, 4161943","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uih when three letters picked without replacement from iphiiuuuip.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (79\/(-790))\/(2\/8).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 290633254?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1 * -1354.\nAnswer: -1354","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*f + 39*k - 25 = 37*k, 0 = f + k - 8 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(8\/3))**(-2\/21) assuming u is positive.\nAnswer: u**(-16\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in 5, 3, -5, -15?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -10789 (b) 5 (c) -201\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) be the first derivative of -15\/2*r**2 - 84 + r. Calculate x(1).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -2.753 and 0.3.\nAnswer: -2.453","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -123312 - 1?\nAnswer: -123313","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -14 + 18. Let a be 6\/k - 13\/26. Sort a, 2, -3.\nAnswer: -3, a, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sy when two letters picked without replacement from tysdssstyskt?\nAnswer: 5\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -329, 1617, 4859, 9397?\nAnswer: 15231","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 486 and 90.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u*u*u*u\/(u*u**(-1))*u*u*u*u)\/u**(-3))\/(u**(-1))**(4\/5) assuming u is positive.\nAnswer: u**(59\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3050 is divided by 764?\nAnswer: 758","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*b = -14*b + 535. Let u = 282 - b. Let r = 278 - u. What are the prime factors of r?\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -144 in -1\/5, 0.3, 2?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*n + 5*n = 20, -2*v - 4*n = -124. Is v a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 45 - 27. Let q = 23 - t. Suppose -1248 = -q*l - 3*l. List the prime factors of l.\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in one tenth of a tonne?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-9 - (-22 + (-2 - -9))) + -8?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -u - o + 15, 2*u + 3*o = 10 + 19. Suppose 0 = u*q - 10*q - 138. Let g be ((-46)\/(-2))\/(3\/9). What is the greatest common divisor of g and q?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*j**3 + 1834*j**2 + 1 - 1 + 2*j - 1865*j**2 to the form r + t*j + x*j**2 + d*j**3 and give r.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a century in decades?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 132 minutes after 10:57 PM?\nAnswer: 1:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -11*y - 84 + 106 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 10458633?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6 + ((13 - 7) + 4 - 7) + 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) be the second derivative of 1239*g**6\/5 - 1406*g**4\/3 - 10996*g. What is the third derivative of r(y) wrt y?\nAnswer: 178416*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -4634 + 4735. What is the biggest value in 0.2, -1\/2, 1, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.57395 rounded to 0 decimal places?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 177 divide 1319832?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p - 34 = 5*b, 0 = p - 3*b - b - 34. Is 17 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = k**3 - 111*k**2 + 140*k - 1682. Determine m(110).\nAnswer: 1618","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -759 + 777. Suppose 435 = 47*i - x*i. Solve 0 = -u - 4*u + i for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 45 + 0 + -26 + -18?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 1, b: 2, y: 1, h: 1}. What is prob of sequence lh?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*w + 16*w - 26*w + 2*w**2.\nAnswer: 2*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 239 times -0.42\nAnswer: -100.38","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 5376 and 48384.\nAnswer: 48384","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 13\/4 + 14\/(-56). Let g = 25 - v. Calculate the greatest common divisor of g and 22.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1816, -7088, -15930, -28354, -44372, -63996?\nAnswer: -87238","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find l, given that -2*l**3 + 218*l**2 - 430*l + 214 = 0.\nAnswer: 1, 107","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 4, v: 10}. Give prob of picking 4 v.\nAnswer: 30\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -30*v + 28*v + 122. What is the tens digit of v?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11*1\/11 + 562\/2 is divided by 41.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.703 + 0.203. Let v = -1 - -1.3. Sort 1\/3, 0.4, a, v in decreasing order.\nAnswer: 0.4, 1\/3, v, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2042*p**3*u**2 - 277412*p**3 + 417*p**2*u**2 + p with respect to u.\nAnswer: 4084*p**3*u + 834*p**2*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y*y\/(y\/(y\/y**8))*y*y)\/y*y)**(7\/3)*y\/((y*y*y**(-1\/5))\/y)*y**(-2\/19)*y*y*y assuming y is positive.\nAnswer: y**(-1778\/285)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -72 + 80. Suppose -14*s - m = -15*s. Does 7 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3*f*h**4 + 60*f*h**2 - 105*f*h + f + 227*h**3 - 1292*h wrt h.\nAnswer: -36*f*h**2 + 120*f + 1362*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (-8)\/(-20)*1100\/40 + 21 + (-20420)\/640\nAnswer: 3\/32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vavarovvyva. Give prob of picking 2 v and 1 o.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 1 * 23274151\nAnswer: 23274151","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l - 3 = -0. Suppose 5*c = 7*c - 8. Let f be (2\/c)\/(15\/(-18)). What is the nearest to l in f, 1\/3, 0.1?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-2 + 4)\/(0 + 1). Suppose 0 = -7*w - j*w + 108. Solve 5*r - 5*x = 3*r - 9, w = 2*r + 2*x for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -m + 8. Let p be a(10). Is 22 a factor of (5\/p)\/((-38)\/6688)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*z + f + 461, -5*z - 3*f + 253 = -224. Suppose 155 = 5*k - c - 0*c, 3*k - z = 2*c. Is k a multiple of 31?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1078370952.\nAnswer: 2, 3, 44932123","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*v - v - 4*k - 260, -4*k = 20. Calculate the highest common factor of 156 and v.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -3*u + 2*i + 8, 11 = u - 3*i. Which is the second biggest value? (a) u (b) -30 (c) 1.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -155, -0.03, 384 in increasing order.\nAnswer: -155, -0.03, 384","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -222 - -239. Calculate the common denominator of 35\/16 and -15 + f - 1\/(12\/(-113)).\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*p + 2*p - 3*p + (0*p + 0*p - p)*(-4 + 4 - 2))*(-2*p + 4*p - 2 - 6*p) to the form r + y*p + o*p**2 and give y.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = 6*d**2 + 4*d + 3. Give g(-2).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 divided by -283.\nAnswer: 4\/283","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qqffzqdqi. What is prob of sequence iq?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -34 + 15. Let x = a + 19.3. What is the nearest to -2\/7 in -1\/2, x, 1\/8?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 4, p: 7}. What is prob of picking 4 p?\nAnswer: 7\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*d = 4870*t - 4867*t - 4, 2*t - 2 = 2*d for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -r**2 - 3 + 11 - 3 - 6. Let y(x) = 6*x**2 + 1. Give j(v) + y(v).\nAnswer: 5*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ymc when three letters picked without replacement from {c: 1, q: 1, y: 1, s: 2, i: 1, m: 1}?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -49369, -98531, -147689, -196837, -245969, -295079, -344161?\n\"Answer: b**3 - 4*b**2 - 49157*b - 209","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j = 4*c, 2*c - 6 - 4 = 3*j. Suppose -8 = -4*w + 5*d, -w - 13 = -4*d - 4. Let b = j + w. Solve -b*s = -3*u + 7 + 5, -4*u - 4*s + 16 = 0 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q - 4 = -3*z + 7, -2*z + 2 = -4*q. Suppose 5*y + z*m - 1794 = 106, -4*y = -5*m - 1547. What are the prime factors of y?\nAnswer: 383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6 - -3 - -5 - 7) + 6?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 24, -3, -951, 2, -70 in increasing order.\nAnswer: -951, -70, -3, 2, 24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -97*z + 6*z = 0 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -2295540 times -4?\nAnswer: 9182160","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -2557*f**2 - 3*f + 54. Calculate x(0).\nAnswer: 54","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 42179788 and 83300.\nAnswer: 3332","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p + 3 = 2*w, 0*p + p + 2*w - 5 = 0. Is 28\/67 at least p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -400234507 * 3.\nAnswer: -1200703521","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 17 - 19. Let a be (-3 + (-7)\/t)*10. Suppose a*s + z - 137 = -3*z, -4*s - 4*z + 112 = 0. Calculate the remainder when s is divided by 7.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (15780\/5080)\/((10 - 1)*1). Let x = y + -3\/254. Which is the nearest to 0.2? (a) x (b) -2\/17 (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*a - 4*g + 109549, -29*a + 28*a + 5*g + 36472 = 0. Round a to the nearest 1000.\nAnswer: 37000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 380 and 228.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -2*d**2 + d + 87. Determine i(0).\nAnswer: 87","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 at most -13306?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -5, 38, 56, -3, 0, -4 in increasing order.\nAnswer: -5, -4, -3, 0, 5, 38, 56","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 30434?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4997?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 256*z + 2*z**2 + 316*z + 149*z.\nAnswer: 2*z**2 + 721*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 72\/5 of a century?\nAnswer: 17280","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = 5*d**2 - 5*d + 7. Is z(9) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 4) to base 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-2)\/4)\/(2\/(-44)). Suppose -w + 8 = u, 113*w + 5*u - 16 = 114*w. Find the second derivative of n*l + 3*l**4 + w*l - 6*l**2 + 6*l**2 wrt l.\nAnswer: 36*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2.8 + -9.8. Which is bigger: n or -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1195?\nAnswer: 5, 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 891?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 2 * 1.662\nAnswer: 3.324","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((2 + 2*b - 2)*(0 + 5 - 3) + 2*b + 0 + 0)*(336*b + 8092 - 8092 + (2*b + 2 - 2)*(-1 + 2 + 5) + 0*b + b - 2*b).\nAnswer: 2082*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (170\/510)\/(3\/(-4)).\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 3932 (base 11) to base 4\nAnswer: 1033331","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.39 - -23.39. Sort -2, 0.1, r in decreasing order.\nAnswer: r, 0.1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1035 and 45?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3 - -7. Solve 0*o = 3*o + 3*s + 3, w*s + 5 = -3*o for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12410440541 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:55 AM and 8:03 PM?\nAnswer: 488","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 24 and 42313902?\nAnswer: 169255608","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v + 2*v = -2*n + 1220, 5*n = -4*v + 3046. What are the prime factors of n?\nAnswer: 2, 3, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2\/5, 1, -2\/175, 47.42?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = 39*t**2 - 1. Let f(h) = 59*h**2 - 1. Give -5*f(r) + 8*o(r).\nAnswer: 17*r**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = 11*o**3 + 5*o**2 - o + 25. Let y(l) = 6*l**3 + 3*l**2 - l + 13. Give -3*p(k) + 5*y(k).\nAnswer: -3*k**3 - 2*k - 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 66.7 - 66.5. Sort 1\/3, 0, 20, 0.6, y in ascending order.\nAnswer: 0, y, 1\/3, 0.6, 20","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y + 3*w = 204, 3*y + 305 = -2*w + 952. Let q be (-4)\/(-8) - y\/2*-1. What is the greatest common factor of q and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p and 3 c when four letters picked without replacement from cqttpqscqsccstqsmscq?\nAnswer: 2\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -20*q**4*s - 12*q**2*s**2 - 101*q - s**2 wrt q.\nAnswer: -240*q**2*s - 24*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 372\/11, 1\/3, 0.5, 5 in decreasing order.\nAnswer: 372\/11, 5, 0.5, 1\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2\/9*l**4 - 8\/3*l - 14\/9*l**3 + 0 - 32\/9*l**2.\nAnswer: -2*l*(l + 2)**2*(l + 3)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one halves of a litre in millilitres?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5150.\nAnswer: 2, 5, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3885*h**5 - 152*h**3 - h**2 + 33478537*h wrt h.\nAnswer: 77700*h**3 - 912*h - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 45\/3*(-1)\/5*30\/18.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -43 + 41.85. Let d = q + 0.9. Let c = 0.15 - d. What is the second biggest value in c, 3\/8, -3?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2624*h**4 - 2*h**2 + 6859*h?\nAnswer: 31488*h**2 - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 20437?\nAnswer: 107, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v - f - 16 + 1094 = 0, -2*f + 536 = 2*v. Suppose v = l + 24. What is the tens digit of l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-18)\/(-2))\/((-224)\/(-64)*(-6)\/21).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 80 - -47. Suppose -668 = -r - a. Is r a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -y**2 - 5*y + 3. Let g be r(0). Suppose -7 = 2*n - g*s, n + 7 = 2*s + 4. Which is the third biggest value? (a) -4 (b) 3\/5 (c) 1\/3 (d) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 557382?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = 2*o**3 + 5*o**2 + 5*o - 1. Let k(q) = -q**3 + 1. Let w(m) = -2*m**3 + 3*m**2 + 3*m + 2. Let h(f) = -3*k(f) + w(f). Determine 3*b(a) - 5*h(a).\nAnswer: a**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.9498 minus 2656?\nAnswer: -2658.9498","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t + 29 + 27 = 0. What is the least common multiple of t and 28?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = w**2 - 6*w + 1. Let s(f) = 0 - 2 + f**2 + 8 - 1 + 10*f. Let y be s(-10). Give t(y).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 329643466, 659286931, 988930398, 1318573867?\n\"Answer: s**2 + 329643462*s + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -794, -791, -778, -749, -698, -619, -506?\n\"Answer: n**3 - n**2 - n - 793","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 30740188, 61480380, 92220572?\n\"Answer: 30740192*y - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 100 (base 2) to base 15.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = 216719*z + 866945. Determine y(-4).\nAnswer: 69","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -11\/6252 or 1618?\nAnswer: -11\/6252","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 r and 1 s when three letters picked without replacement from {c: 5, s: 4, r: 2}?\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-3 + 3097)\/1 + 30\/(17 - 7). Calculate the highest common divisor of m and 19.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1.1 - -0.6. Which is the closest to 2? (a) h (b) 4 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -19*f**4 - f**3 + 23*f**2 + f + 3. Let j(s) = -18*s**4 - s**3 + 23*s**2 + s + 2. Let u(y) = 2*b(y) - 3*j(y). Find the third derivative of u(h) wrt h.\nAnswer: 384*h + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*v**4 + 1 - 40*v**3 - 14*v**2 + 0 - 37*v**3 - 37*v**3 + 115*v**3 - 3*v to the form l + z*v**3 + c*v**2 + p*v**4 + m*v and give p.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -20378 + 142658\/7. Suppose -12\/7*p**2 + 20\/7*p**3 + 0 - 4\/7*p**5 - 16\/7*p + n*p**4 = 0. Calculate p.\nAnswer: -1, 0, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:36 AM and 8:25 AM?\nAnswer: 289","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-1)\/2)\/((-2)\/12). Suppose -w*j = -0*j - 171. Calculate the highest common factor of 38 and j.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) be the second derivative of -2*g**3\/3 + g. Let s be v(1). Let t = -6 - -5.6. What is the closest to 0.1 in t, s, -3?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 20 and 124.\nAnswer: 620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 201966?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7137 = -r + 2*v, -10233 - 11160 = -3*r - 3*v. Is r composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -14902, -60426, -136206, -242236, -378510?\nAnswer: -545022","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -5 (b) 9\/2 (c) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 1 e when two letters picked without replacement from {q: 2, e: 5, u: 1, z: 8}.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1455, 3, -0.11 in increasing order.\nAnswer: -0.11, 3, 1455","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -10 + 12 + 2 + -7 + (5 - 6)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -678, -1341, -2004, -2667, -3330?\n\"Answer: -663*d - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30880000 = 4*x - 24*x. What is x rounded to the nearest 100000?\nAnswer: -1500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3845774?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = n**2 + 35. Let s(o) = o**2 + 18. Let a = 15 + -19. Let r(v) = a*z(v) + 7*s(v). Let m(y) = -y**2 + 5. Give -11*m(w) - 4*r(w).\nAnswer: -w**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*b**2 + 4*b - 4*b + (2*b - 3*b + 4*b)*(-6 + 6 + 26*b) - 3*b**2 + 5*b**2 + 0*b**2 in the form c*b + p*b**2 + r and give p.\nAnswer: 78","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0 - -3. Let t be (0 - -3)\/(i\/(-2)). Let l be ((-216)\/(-90))\/(4\/5) - (-7)\/(-2). Which is the second smallest value? (a) -5 (b) t (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = 3*i - 2. Let n be b(2). Suppose -21 = 3*m + 3*l + l, 5*l = n*m - 3. Sort 5, 4, m in descending order.\nAnswer: 5, 4, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6023 is divided by 5106?\nAnswer: 917","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -17 + 10. Let r = -17 + 57. Let m = 44 - r. Sort m, l, 5 in decreasing order.\nAnswer: 5, m, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r = -0*r. Let w(j) = 12*j**2 - 10*j**2 + 20 + r + 7*j. Is 4 a factor of w(-4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 3\/((-9)\/(-336)*4). Let b be (-3 - 7\/(-2))*l. Let y = 29.18 - 29.48. What is the second biggest value in b, -1, y, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -331095*u**2. Let d(s) = -8*s**2. Calculate d(p(l)).\nAnswer: -876991192200*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.56 * 118294.\nAnswer: 66244.64","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 318320, 318314, 318304, 318290, 318272?\nAnswer: 318250","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -0.3, 1, -2\/655, -6.7, -3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 + (-6 + 8 + -6 - 5)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*k + 77 = y + 6 - 7, 94 = -4*y - 3*y - 5*k for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -x + 1. Let y(s) = -3 + 9 - 4*s - 3. Suppose -u + 1 = 0, 6 = 3*w + w + 2*u. Calculate w*y(b) - 5*j(b).\nAnswer: b - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -12*j**2 - 24*j - 49. Calculate t(-3).\nAnswer: -85","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 4, w: 6}. What is prob of sequence www?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = 25*y**3 + 13*y**2 - 31*y - 7. Let g = -158 + 149. Let p be w(g). Round p to the nearest 10000.\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 30074?\nAnswer: 2, 11, 1367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = b**2 + 8*b + 776. Let t be j(0). Is t + (-23)\/((-115)\/(-30)) a multiple of 55?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 213 - 210. Let o(n) be the third derivative of 2*n**2 + 1\/240*n**5 + 5\/96*n**4 + 0*n - 1\/24*n**c + 0 - 1\/96*n**6. Solve o(g) = 0.\nAnswer: -1, 1\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 8 + ((-424)\/104)\/((-3)\/(-6)). What is the closest to -8 in 4, k, 0?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 139 + -117. Let u = 194 + a. Is 23 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11010011101110001 (base 2) to base 11.\nAnswer: -74497","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 105533 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8*n**3 - 4 + 4)*(-1 - 3 + 3).\nAnswer: 8*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 336 to the nearest ten.\nAnswer: 340","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 1867176 divided by 6?\nAnswer: 311196","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*v**2\/5 + 836*v\/5 + 31126208\/5 = 0. Calculate v.\nAnswer: -2687, 2896","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -512 = -23*g + 63. What is the remainder when ((-3)\/(-9))\/((150\/792)\/g) is divided by 9?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -7*d**2 + 6. Let h(p) = -p**2 + 1. Let i(g) = 30*g - 241. Let c be i(8). Determine c*o(u) + 6*h(u).\nAnswer: u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence osos when four letters picked without replacement from ssossssssso.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*r**4 - 10 - 2*r - 9 - 17*r**2 - 8 + 27 - 1 to the form o*r + d + t*r**2 + y*r**4 + i*r**3 and give t.\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide 8 by 1.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 612, -1, 1 in increasing order.\nAnswer: -1, 1, 3, 612","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-26064)\/(-14118)*26\/3?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -36782*d**3 - 2*d + 71807 wrt d?\nAnswer: -110346*d**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1837900?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*s**3\/7 + 20*s**2 - 902*s\/7 + 180.\nAnswer: -2*(s - 63)*(s - 5)*(s - 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 - ((6 - (-2 + 2)) + -14 - -6)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -4267 - -4340. Calculate the greatest common factor of 25769 and o.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -4, 4, -215 in decreasing order.\nAnswer: 4, -3, -4, -215","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -8 + 6. Let z be (-14)\/w - (-3 + 6). What is the third derivative of 3*o**5 - 4*o**5 - 5 - z*o**2 + 5 wrt o?\nAnswer: -60*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xxxxxyxxxyaaxxxxyax. What is prob of sequence yxa?\nAnswer: 13\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1011010100110111000111 (base 2) to base 12.\nAnswer: bb2233","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:59 PM and 11:44 PM?\nAnswer: 585","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 9*(4\/(-84) + (-6)\/21). Let q be 12\/30 - t - 2\/2. Which is the nearest to 0? (a) 3 (b) q (c) 2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-6)\/(k\/(k*k*k*k*k*k**(-2\/9)*k*k)))\/((k\/((k*k**(-2))\/k*k*k*k))\/k**(-3)) assuming k is positive.\nAnswer: k**(-29\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = 7*a**2 + 4. Let m(z) = 18*z**2 - 5*z + 24. Let n(y) = -26*y**2 + 8*y - 37. Let f(d) = 8*m(d) + 5*n(d). What is -4*f(q) + 7*l(q)?\nAnswer: -7*q**2","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q**3\/3 + 30*q**2 + 18884*q\/3 + 12464 = 0. Calculate q.\nAnswer: -76, -2, 123","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence or when two letters picked without replacement from rnonrrrrnronro?\nAnswer: 3\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.045? (a) 3 (b) 2\/3 (c) 0.4 (d) -1\/2 (e) 11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2.5 + -3. Let n = 88 - 93. What is the second smallest value in -1, n, i?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2682297 - -1156012?\nAnswer: -1526285","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**2)**(5\/12)\/(p**(-8)*((p*p\/(p\/p**(2\/3))*p)\/p)\/p) assuming p is positive.\nAnswer: p**(49\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2.07 + 0.07. Let p = -2.3 - 0.7. Let y = z - p. Is -2\/7 > y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) be the third derivative of -m**5\/15 + 5*m**4\/24 + 3*m**2 - 19*m + 5. Let x(z) = -108*z**2. Determine j(x(i)).\nAnswer: -46656*i**4 - 540*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30*i = -i + 688713 - 73270. Is i a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-8949)\/628)\/(-1*18\/4) - 3. Let g(z) be the second derivative of -23*z + 0 + 0*z**2 + 0*z**3 + c*z**4. Let r(t) = -9*t**2. Determine r(g(n)).\nAnswer: -36*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 175 minutes after 5:59 PM?\nAnswer: 8:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.066 and 372435.\nAnswer: 372434.934","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -488 + 510.7. Let t = 23 - z. What is the third biggest value in 5, -0.4, t?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -28998*r + 28998*r + 4 + 19*r**2 + (0 + 0 - 2*r)*(-4 - r + 4).\nAnswer: 21*r**2 + 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -279\/35 - -42\/5. Let m(t) = -t**2 - 7*t - 5. Let a(d) = 7*d. Let w be a(-1). Let r be m(w). What is the second biggest value in n, -1\/4, r?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 516835 divided by -6?\nAnswer: -516835\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -g**3 + 2*g**2 - 2*g + 3. Let u be d(2). Let l = -19 + 20. Let f = l - u. Which is smaller: f or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 269*a + 215*a + 332*a - 579*a in the form h + x*a and give x.\nAnswer: 237","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -34*d**3*k**2 + 691*d**2*k**2 + 11*d**2*k - 10*d*k**2 + 2*d*k + 3*d + 176*k**2 - 2*k wrt d.\nAnswer: -204*d*k**2 + 1382*k**2 + 22*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k**5 - 43*k**4\/5 - 586*k**3\/5 + 1686*k**2\/5 - 1467*k\/5 + 81 = 0. What is k?\nAnswer: -9, 3\/5, 1, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4425724 is divided by 63.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ioni when four letters picked without replacement from {m: 2, n: 1, o: 1, j: 1, i: 2, g: 1}.\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1\/1276 or 0?\nAnswer: 1\/1276","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1 - 0. Let r(a) be the second derivative of 16*a**3 + 3*a**2\/2 + 1529*a. Is 33 a factor of r(l)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -50, -83, -102, -101, -74, -15, 82, 223?\n\"Answer: s**3 + s**2 - 43*s - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -24, -16, -2, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h, 1 m, and 1 t when three letters picked without replacement from mkhtonommkhotkkokk?\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4487742?\nAnswer: 2, 3, 7, 35617","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = 3*k + 18. Give r(-7).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 8021 and 793.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 486 is divided by 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o + 9 = 12. Suppose o*m = -4*s + 264, 2*m = 3*m. Is s a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -71 - -25. Let a = -9 - x. Is a prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 3*s - 5. Suppose -s = -6*v + 189. What are the prime factors of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6544559686 to the power of 1\/3, to the nearest integer?\nAnswer: 1871","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 188548629 to the power of 1\/5, to the nearest integer?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 49 divide 13773259?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -12*o + 12*o - 25*o. Let t(w) = -2*w**2. What is b(t(g))?\nAnswer: 50*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -2*y**3 + 4*y - 5. Let m be x(1). Sort 1, m, 0.\nAnswer: m, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10131.\nAnswer: 3, 11, 307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f - 4*z - 7 = -0, -5*z = -2*f. Suppose f*q - 10 = -2*m, 9 = 5*q - 2*m - 1. Suppose -7 = -q*p + 7. Is 6 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -c**2 - 15*c - 1. What is the units digit of a(-5)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.4 + -1.6. Let f = 21905\/14 - 1566. Let r = 143\/126 + f. What is the third smallest value in r, 5, w?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 21578281?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -1631, -3268, -4905, -6542?\n\"Answer: -1637*q + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 + 46 + 3)*(p - p - 2*p**4) - p**4 + p**4 + 10*p**4 - 2*p**4 + p**3 - p**3 to l + u*p + a*p**2 + y*p**4 + j*p**3 and give u.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 317199 = 52*a + 17367. Does 62 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 8.4053666 - 8.4125. Round o to 3 dps.\nAnswer: -0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in o + 6*o + 2*o - 4*o.\nAnswer: 5*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f*f**(2\/17)*f)\/((f*(f**(5\/7)*f*f)\/f*f*f)\/f))**(-47) assuming f is positive.\nAnswer: f**(8930\/119)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 654, 904, 1586, 2910, 5086, 8324, 12834?\n\"Answer: 35*q**3 + 6*q**2 - 13*q + 626","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/((y**(1\/4)\/y*y)\/y*y))**(1\/3)*(y*y**(-1))\/(y*y**(1\/4)) assuming y is positive.\nAnswer: 1\/y","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*g**(-3\/23)*g)**(-2\/141)\/(((g\/(g*(g**(33\/5)\/g)\/g))\/g)\/(g*g*g\/(g\/g**41*g)*g)) assuming g is positive.\nAnswer: g**(787619\/16215)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -168 - 16328.\nAnswer: -16496","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -4234 - -4261. Let -27\/2*n**5 + 0 - 5*n**2 - 18*n**3 - z*n**4 - 1\/2*n = 0. Calculate n.\nAnswer: -1, -1\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1412888?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 60 and 768?\nAnswer: 3840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -b**3 - 283*b**2 - 370*b - 24875. Give g(-282).\nAnswer: -59","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -h + 5, 4*h + 25 = 5*u + 3*h. What is the remainder when 3 is divided by 7\/21 + 10\/u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (49*y - 3*y + 46*y)*(-35 - 6*y - 2*y + 38) to the form j*y + f*y**2 + o and give j.\nAnswer: 276","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = q**2 - q + 20110. Let o(c) = -2*c. What is w(o(l))?\nAnswer: 4*l**2 + 2*l + 20110","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 344 + 20707?\nAnswer: 21253","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 263 = -59*t + 558. Solve t*o - 2 = a, 6 = -3*a - 0 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1712 and 428.\nAnswer: 1712","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 681556\/18 + (2\/5)\/((-1638)\/910)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = 222*o - 7101. Let k be w(32). Solve -k*r + 3 = -4*v, 4*v - 27 = -3*r - 0 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 3\/5 or 539?\nAnswer: 539","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1551369781.\nAnswer: 13, 37, 43, 107, 701","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 30163117 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -2*g**2. Let v(r) = 26*r**2 - 18296. Give v(y(q)).\nAnswer: 104*q**4 - 18296","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = i**5 - 5*i**2 + 3. Let w(a) = 5*a**2 - 2. Let p(n) = 2*o(n) + 3*w(n). What is the third derivative of p(k) wrt k?\nAnswer: 120*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = 1063*q**2 + q - 1. Suppose 1099*t - 1109*t - 10 = 0. Is 10 a factor of x(t)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.12*92\nAnswer: -11.04","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/5? (a) 0.07 (b) -0.5 (c) 5 (d) 71 (e) -24.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.274 - -1.444. Let z = m + -0.67. Let b be (-24)\/(-15) + (-2 - 0). What is the nearest to b in z, 4, 3\/7?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 27 a factor of 2214?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -479 + 484. Solve 7 = f*a - 8 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 9549 and 37249588?\nAnswer: 1061","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = 23*f + 45. Let h be u(-7). Let r = 148 + h. Does 16 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2 + 34. What are the prime factors of v?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p - 112 = h - 119, 4*p = -5*h + 11. Calculate the smallest common multiple of ((-14)\/35)\/(2\/(-30)) and p.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 121\/83084028 and -65\/21.\nAnswer: 581588196","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3 in 2\/9, -8, 5, -270?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = 33*a - 244. Let t be s(8). Suppose 2*l + 28 = -2*k - 16, 0 = 3*l - 2*k + 46. Let j = l - -26. Calculate the greatest common divisor of j and t.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2\/6855 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -9.65103803 rounded to three decimal places?\nAnswer: -9.651","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -36 + 81. Let q = -22 + u. Calculate the remainder when (-482 - -535) + (-10 - -12) + 10\/(-1) is divided by q.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -15*h**3 - 3*h + 5*h**3 + 9*h**3 + 2*h**2 - 2 to the form x + r*h + n*h**3 + q*h**2 and give r.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 52557 >= 52550?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(539) + -1 + -1 + sqrt(539).\nAnswer: -2 + 14*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 17, w: 2}. Give prob of picking 1 p and 1 w.\nAnswer: 34\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = 3*m**2 - 4*m + 5. Let i(h) = 6*h**2 - 7*h + 10. Let y(r) = -2*i(r) + 5*n(r). Let k(j) = -j. Calculate the remainder when y(4) is divided by k(-8).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = 155*j + 1234. Calculate b(-8).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -156511 + 156498. Let t = 0.2 - 0. What is the smallest value in -2\/5, 17, i, t?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-42)\/(-10) + (-32)\/24*(-51)\/85?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 131519 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*m + 5*d = -28, -4*m = 34*d - 36*d - 24 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 67\/244244 and -93\/16.\nAnswer: 976976","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 1, z: 7, a: 12}. Give prob of picking 2 z, 1 a, and 1 s.\nAnswer: 84\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -104109 or -0.07?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -209372, -209383, -209394?\n\"Answer: -11*d - 209361","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 101\/7044 and -11\/70440?\nAnswer: 70440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*u + 12 = 2*v + 14*u, -3*v + 3*u = -9 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 6, 371 in descending order.\nAnswer: 371, 6, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2 + 29. Suppose -z - 90 = -4*v + 5*s, -3*s - 38 = -v. Let c = v + 1. Is c a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/11)\/((-8)\/(-88)*-1)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 20709 to the nearest integer?\nAnswer: 144","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is ((2\/21)\/((-90)\/4620))\/((-104)\/936)?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1663.\nAnswer: 1663","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*r**3 - 5*r**3 - 2*r**3)*(r - 3*r + 3*r).\nAnswer: -r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -56 + 83. Let t = 64.2 - 90.8. Let z = j + t. Sort 2, z, -2\/5 in decreasing order.\nAnswer: 2, z, -2\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*s + r = -23, 11*s - 24*s = -12*s - 5*r - 73 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = y**3 + y**2 - 7*y + 7. Let s(k) = -2*k**3 - k**2 + 6*k - 6. Calculate -6*p(q) - 7*s(q).\nAnswer: 8*q**3 + q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s + 20 = 4*k, 8*k - 3*k + 4*s - 25 = 0. Suppose 4*f - 3*o = 0, -2*f + 4*o + 1 = 3*f. What is the third biggest value in k, -4, f?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 16*n - 25*n + 468. What is the remainder when 830 is divided by n?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 40103959.5 less than 1581342?\nAnswer: -38522617.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 103 * 0.048648\nAnswer: 5.010744","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-2 + 2 - 1)*(1 + 5 - 5) - 2 + 5 + 0)*(-149*f - 100*f - 98*f).\nAnswer: -694*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 9743.654 years?\nAnswer: 97.43654","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*v = -2*n - 6, 20 = 5*n + 9*v - 11*v for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -177 = -15*o + 3. Let a be 52\/2 + -3 + 1. Let q be o\/a + 26\/4. Calculate the greatest common factor of q and 28.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4*8\/32*-2\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -4*b**2 + 132*b - 397. Determine j(3).\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 377 less than 112455\/299?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -279 - -486. Is 9 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 228583 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s = -22 + 14. Suppose 4*v = 20, -2*v = s*p + 3*v - 21. Which is smaller: p or 3?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve y**5\/2 + 8473*y**4\/2 + 11673120*y**3 + 9591765500*y**2 - 2403483817000*y - 24982383915000 = 0 for y.\nAnswer: -2890, -10, 207","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 8053872 and 78.\nAnswer: 104700336","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*y + 7*y + 308. Let r = -18 - y. Is r a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 143468, 286850, 430232?\nAnswer: 573614","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -2, 4\/297, -0.3, -1.26?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x - k + 14 = 3*k, 0 = -x + k - 2. Let n(f) = 0 - 7 - 5*f**x + 6*f**2 - f. Calculate the remainder when 24 is divided by n(5).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:48 PM and 7:48 AM?\nAnswer: 660","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -w**3 + w**2 + w + 1. Let k(l) = 7*l**3 + 144*l**2 + 22*l - 7. Let d(x) = 5*i(x) + k(x). Find the second derivative of d(v) wrt v.\nAnswer: 12*v + 298","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -k**2 + 1 + 0 + 1 - 6*k + 5*k. Suppose 0*g = 3*g - 6. Let o(d) = -1 + 2 - d**g - d + 0*d**2. Calculate -3*o(c) + u(c).\nAnswer: 2*c**2 + 2*c - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -797 + 1966. Let c = s - 536. Is c a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 52 a factor of 892412767?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -86 + 219. Let t = f + -30. What is the hundreds digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1150 + -56. What are the prime factors of t?\nAnswer: 2, 547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3323723 and 277.\nAnswer: 277","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 3 (b) 1 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = q**2 + q + 4. Let k be t(0). Suppose 3*h + 106 = k*w, 3*w - 93 = 4*h - 10. Suppose -w = -4*r - r. Calculate the least common multiple of 1 and r.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 298 minutes after 8:30 PM?\nAnswer: 1:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 614 - 252. Let j = k - 8707\/24. Calculate the common denominator of -13*-1*(25\/(-15) + 2) and j.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (1 - 2)\/(265\/159). Which is the second biggest value? (a) f (b) -1\/82 (c) 2\/5 (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -2*w**2 - 2*w + 116. Let d be c(-8). Solve -d = l - 2*u, 4*l + u = 5*u for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6*(-1)\/(-36)*-9?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1.79 - -0.21. Let i = 4.4 - 4. What is the smallest value in l, i, 2\/13?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.5? (a) 2\/9 (b) 5 (c) 0.2 (d) -1254\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-2)\/(-9) + 88\/9. Let b be 4\/((-12)\/(-315)) - -5. What is the greatest common divisor of a and b?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-1)\/(-4) + (-4)\/16. Solve 2*u = -n + 4 - 0, -4*n = o for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -3*l**2 - l. Let v(i) = -4*i**2. Let z(s) = 2*d(s) - 3*v(s). What is the second derivative of z(r) wrt r?\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -8.939 and -337.918?\nAnswer: 328.979","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 397387?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1 + -4. Let q = y + 3.5. Let t(b) = -b**3 + 8*b**2 + 4*b - 76. Let p be t(7). What is the closest to p in 0.4, q, 0.2?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 71136?\nAnswer: 2, 3, 13, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) be the first derivative of -2\/3*p**3 + 7\/2*p**4 + 0*p - 16 + 0*p**2. Find the third derivative of i(w) wrt w.\nAnswer: 84","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (3 - 3)\/(1 - -1). Let v be l + 1 + 0 + 77\/28. Factor -21\/4*t - v*t**2 - 3\/2.\nAnswer: -3*(t + 1)*(5*t + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 9874990?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(26)\/sqrt(50) + -1)**2 - (sqrt(52) + -3 + -2).\nAnswer: -12*sqrt(13)\/5 + 163\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -457, -489, -523, -559, -597, -637?\n\"Answer: -a**2 - 29*a - 427","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u - 73 - 527 = 0. Calculate the greatest common divisor of u and 200.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -s**2 - s + 4. Let y be f(0). Suppose r - 2 = -z, -2*z - 1 = 1. Suppose -y*u + 4 = 0, -87 = -5*a + a - r*u. Is a a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 18926 is divided by 112.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1401 - 1?\nAnswer: 1400","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -13*x**2. Let b(u) = -20*u**2 + 17*u**2 - u**2. Give f(b(o)).\nAnswer: -208*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 38095 is divided by 8.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0, -1\/10, -5, -1\/6?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Determine b so that 0 + 15\/4*b**2 + 6*b + 3\/8*b**3 = 0.\nAnswer: -8, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -50522*y + 50522*y + 2*y**2.\nAnswer: 2*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*o = 6*o + 4. Suppose -2*j + 3 = -o. Solve -n + 7 - j = 0 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 4\/7 (b) -3 (c) -4 (d) 1 (e) 76\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) be the second derivative of n**3\/6 - 14*n + 16. Let t(f) = 60*f**2. What is g(t(o))?\nAnswer: 60*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3 + -4. Let a = o + 9. What are the prime factors of (12\/8)\/(3\/a)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tc when two letters picked without replacement from {o: 3, t: 3, c: 2, i: 1, s: 3, q: 3}.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-6)\/(-27))\/((-20)\/(-30))?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 10553277 and 54899?\nAnswer: 4223","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (24\/(-10))\/((-114)\/190). Solve 0 = -5*q + 3*q - 2*f, 0 = 3*q - d*f + 14 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 16\/(-4) + 0 - -2. Let l be ((-40)\/60)\/(k\/3). List the prime factors of ((-2110)\/20)\/(l\/(-2)).\nAnswer: 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h - h - 30 = 4*r, -2*h + r = -15. Let y be ((-12)\/(-10))\/((-3)\/(-360)). Suppose k - h*k + y = 0. What is the units digit of k?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -16.7 - -16. Let y = -0.3 - o. What is the second biggest value in y, 2, -0.2?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 944000?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -8570115*g**2 + 15021654*g.\nAnswer: -17140230","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 47\/6624 and 133\/29598.\nAnswer: 32676192","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*d + 4*b = b + 1, -2*b - 6 = 0 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:45 AM and 9:55 AM?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*b**2 + 28 - 28)*(36 - 33 - 108).\nAnswer: 210*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (8\/(-3))\/(-3 + (-183)\/(-63)). Suppose 0 = 2*n - 9*n + v. Solve -7 = -3*j + n*l, 0 = -5*l - 15 - 5 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -68*q + 77 = -61*q. Suppose l = 2*x - 17, 5 - 23 = -3*x - l. Solve -x*p + q*p - 16 = 0 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = o + 8. Let z be r(-6). Let k = -0.68 + 0.28. Let x be (-4)\/7*(-2)\/(-2). Which is the closest to z? (a) k (b) 5 (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 583 minutes after 7:59 PM?\nAnswer: 5:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -3 (b) -0.1 (c) 1\/3 (d) -1\/12 (e) -30\/13 (f) -4 (g) -7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8 - 8 - 113*y.\nAnswer: -113*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -z**5 + 113571*z**4 + 58*z**3 - 16994*z**2 - 1264*z.\nAnswer: -60*z**2 + 2725704*z + 348","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) be the third derivative of n**5\/60 - 13*n**4\/24 - 37*n**3\/6 - 19*n**2. Let b be m(16). Solve -6*p + b = -1 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s = -s - 4*h - 32, -3*s - 3*h = 0. Let v be 2*-3*(-51)\/(-34). Let f be 5\/3 - 3\/v. Solve 0 = -4*a + f*p - 2, 3 + s = a + p for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -y**2 - 10*y + 222. Let x be n(10). Solve 0 = -2*i - 4*w - 29 + 3, -2*i - x = 3*w for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -3 + 3 + 3*f**3 + f + 2*f**2 - 1. What are the prime factors of j(1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -h**2 + 8*h - 3. Suppose 0*x + 5*z + 20 = x, -5*x + 5*z = -40. Suppose 4*j = 3*j + x, -5*j + 3 = k. Let o be (-77)\/k*1*2. Calculate s(o).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -3 - 2\/(1 + 1). Which is the biggest value? (a) o (b) -1\/4 (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 divided by -15596320?\nAnswer: -1\/3899080","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -7863 (base 13) in base 7?\nAnswer: -100005","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4803 = -48*v + 3597. Calculate the remainder when v is divided by 44.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4331 + 908 = 169*o for o.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -35*t**3 - 6*t**2 - t + 4. Let u be p(-2). Suppose u = 7*q - 193. What is the first derivative of 5*m**2 - 5*m**2 - 53 - 3*m**4 + q wrt m?\nAnswer: -12*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 46745616 divided by -15581872?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -18*v + 301847 - 102263. Calculate the smallest common multiple of 2 and v.\nAnswer: 11088","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) be the first derivative of -2*t**3\/3 + 9*t**2\/2 - 8*t - 440. Give y(4).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -3*c**2 + 8*c + 3. Let i be v(6). Let x = -52 - i. What is the first derivative of 5*p**2 + 5 - p**2 - x*p**2 wrt p?\nAnswer: -2*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -13.00545 + 7\nAnswer: -6.00545","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mmm when three letters picked without replacement from {m: 3, x: 1, q: 1}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b and 2 j when three letters picked without replacement from {d: 1, j: 4, s: 7, i: 1, w: 2, b: 3}.\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 8, 27, 58, 101, 156, 223, 302?\n\"Answer: 6*m**2 + m + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 242001056?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 1625517 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: Solve 62*f + 7703 - 6215 = 0 for f.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 7\/4 of a microgram?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6948937?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 1a8 - -89773?\nAnswer: 89970","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence www when three letters picked without replacement from {d: 2, w: 11, e: 2}.\nAnswer: 33\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5354 is divided by 4187?\nAnswer: 1167","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + 15 = 9. Let b(f) = -2*f + 6. Suppose 0 = -0*i + i - 5. Let r(x) = 2*x - 5. What is i*b(q) + n*r(q)?\nAnswer: 2*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3957?\nAnswer: 3, 1319","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*l**2*m*s - 2*l**2*s*z**2 + 43*l**2*z - 2*l*m*s*z**2 - 14*l*m*z + 2*l*s*z + 5*s*z**2 wrt l?\nAnswer: -4*m*s - 4*s*z**2 + 86*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 421 minutes after 11:53 PM?\nAnswer: 6:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**13*p*p\/(p*p\/(p*p**(-1\/4)*p)*p)*p assuming p is positive.\nAnswer: p**(59\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 257785866?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = u**2 + 24*u - 97. Let q be x(-32). Let p = 160 - q. Solve 6*j + p = 31 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.79*-0.5\nAnswer: -0.395","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = 10370*i - 134808. What is k(13)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = 3*h + 22. Let t(u) = 2*u + 22. Let o(w) = -3*a(w) + 2*t(w). Does 15 divide o(-12)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = 3*b**3 - 125*b**2 + 65*b - 4497. What is n(42)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 26697 and 705738.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, -10493, 6 in ascending order.\nAnswer: -10493, -6, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is -4043 at least -4019?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 379014 to the nearest integer?\nAnswer: 616","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qe when two letters picked without replacement from xeeeeeeeeeeqeeeex.\nAnswer: 7\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(17) - sqrt(2448)*-2 - (-2 + sqrt(2057) - sqrt(17))**2.\nAnswer: -1704 + 65*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -1023 (base 8) to base 15\nAnswer: -256","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.07195 + 0.072. Round d to five dps.\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1187851.\nAnswer: 7, 169693","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 194.999996476 + -195. What is m rounded to seven dps?\nAnswer: -0.0000035","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.4 from 2.641.\nAnswer: 3.041","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -75\/368 and -75\/2024.\nAnswer: 4048","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13 = -c - 22 + 2 + 61, -117 = q - 4*c for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.11? (a) -1 (b) -5 (c) -4 (d) 1\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1422273?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 - 5*s**3 + 63*s - 62*s - 16*s**3)*(-3*s + 2*s + 0*s) to z*s**4 + r*s + k*s**2 + x + t*s**3 and give x.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i = -x + 16 + 7, -i + 19 = 5*x. Suppose x + 0 = 3*q, t - 4*q = 32. Let n = t - 5. Is n composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -320586092*a**2 + 158613280*a wrt a.\nAnswer: -641172184","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -880389 - -1858270. Is z composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -3 - 106139b6?\nAnswer: -106139b9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (29\/((-4205)\/58))\/(2\/(-85))?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = 29*i. Let l = 423 + -420. Let v(n) = 8898 - 8898 - 3*n - l*n. Determine v(y(f)).\nAnswer: -174*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Determine h, given that 295*h + 1\/4*h**2 + 87025 = 0.\nAnswer: -590","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eeegezzyzzzedzdzdeye. Give prob of picking 2 e.\nAnswer: 21\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 265.6325kg?\nAnswer: 0.2656325","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*i**5 - 10*i**4 + 44*i**3 - 32*i**2 = 0. Calculate i.\nAnswer: -8, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/5? (a) -0.4 (b) 0.4 (c) -9.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 302 minutes before 11:35 PM?\nAnswer: 6:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 137861 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Work out -232801564 * 0.3.\nAnswer: -69840469.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 297*m**3 + 211*m**3 + 89*m**3.\nAnswer: 597*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-13 - -11)*(0 - 10\/4). Let o(n) = 2*n - 3. Determine o(b).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 649 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 7, u: 1, d: 1, w: 3, l: 1}. What is prob of sequence ldnu?\nAnswer: 7\/17160","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.3 - 0.7. Let x = 1 + j. Let l = 0.9308 + -0.8308. Which is the third biggest value? (a) l (b) -5 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4347 is divided by 4.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -3513511, -3513539, -3513567, -3513595?\n\"Answer: -28*b - 3513483","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 793276193 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 + 1359*r + 4.\nAnswer: 1359*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = 1038*o - 87178. Determine l(84).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m - 2*t - 10 = 0, t + 123 = 2*m + 113. Put 0.14, 5, -0.8, m in descending order.\nAnswer: 5, m, 0.14, -0.8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1101010000110011 (base 2) to base 10\nAnswer: 54323","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 285060 divided by 20?\nAnswer: 14253","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 0, -11, 4 in increasing order.\nAnswer: -11, 0, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1\/7*o**2 - 1014\/7 - 509\/7*o.\nAnswer: -(o + 2)*(o + 507)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -311*h**3 + 7*h**2 + 10*h wrt h?\nAnswer: -1866","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-4)\/(-108))\/(130\/1170))\/((-1)\/(-606)*-2).\nAnswer: -101","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*j = 4*m - 16, -3*m + 117 = -5*j + 98 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -119 (base 10) to base 16.\nAnswer: -77","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 485*j**6 + 2128*j**4 + 99865211*j**2.\nAnswer: 58200*j**3 + 51072*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 539 minutes before 12:39 PM?\nAnswer: 3:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 - (-363 + 356 + -2 + (5 - 78))?\nAnswer: 86","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = k**3 + 21*k**2 + 108*k + 7. Give l(-12).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -u**2 + 6*u - 8. Let n be (-1)\/(-2)*(7 - (-7 + 8)). Let v be q(n). Is 5 a factor of (-9)\/15 + (594\/15)\/v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1061245\/12 + -88447. Let g be 25 - 0\/(0 + -1). Calculate the common denominator of g\/(-8) + (5 - 6) and c.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 34*f**2 - 73*f**2 - 42*f**2 as j*f**2 + n*f + b and give j.\nAnswer: -81","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qvntnnppwpwqqwwnv. What is prob of picking 2 p?\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -4*c**3 - 9*c**2 + 3*c + 3. Let n(q) = 9*q**3 + 18*q**2 - 7*q - 7. Let y(x) = 3*n(x) + 7*r(x). What is the third derivative of y(s) wrt s?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(72) - 2*sqrt(72))\/sqrt(3) - (-2*sqrt(240))\/sqrt(10))\/((1*sqrt(288) - sqrt(288) - sqrt(288))*-3).\nAnswer: sqrt(3)\/18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 24*b*h*j*w - b*j*w + 8*b*j - b*w - 11*h*j*w - 4*h*j wrt b.\nAnswer: 24*h*j*w - j*w + 8*j - w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1708984477.\nAnswer: 67, 25507231","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -5, 432, 53, -19 in descending order.\nAnswer: 432, 53, 3, -5, -19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = 4*v**2 + v. Let q be g(1). Suppose -83 = -3*t - 23. Does 4 divide 23\/q - 12\/t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ci when two letters picked without replacement from {r: 7, c: 5, i: 4, y: 2}.\nAnswer: 10\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 32187084?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3038957 to the nearest integer?\nAnswer: 145","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -696 + -5?\nAnswer: -701","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = -2*b - 0*b + 4*w, -4*b - 3*w + 6 = 0. Let i(g) = 1 + b + 14*g**2 - g**3 - 13*g + 5. Let f be i(13). Solve 14 = 5*l - f for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j + 2*d + 20 = 0, 5*d = -5*j + 2*j + 15. Let z = j - 3. Suppose 0 = -z*v + 4*l + 12, -3*v + 18 = -0*v - 2*l. What is the units digit of v?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.117083 - 0.117083. Let v = 23 + -24.1. Let l = -0.1 - v. Which is the second smallest value? (a) 1\/3 (b) l (c) f (d) -12\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 24063 is divided by 35.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.07 and 17.26?\nAnswer: 1.2082","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = x**2 + 19*x + 90. Determine v(-12).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 33522845?\nAnswer: 5, 23, 291503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 7371, -1846 in decreasing order.\nAnswer: 7371, 0, -1846","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -64535 or 201?\nAnswer: 201","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (254*u - 428*u - 473*u)*(-u + 2*u**3 + u) + (4*u**3 - 5*u**3 + 0*u**3)*(3*u - u - 4*u) + 2*u**4 + 2*u**4 + 2*u**4.\nAnswer: -1286*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4256 is divided by 1120.\nAnswer: 896","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is s in -15*s**2 - 117*s + 24 = 0?\nAnswer: -8, 1\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 7111 divide 1417921268?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) be the second derivative of v**7\/21 - v**5\/10 + 14*v - 50. Determine p so that b(p) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 42848917 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(1 + sqrt(11))**2 + (3 + sqrt(22)\/sqrt(2) - sqrt(11)).\nAnswer: -33 - 6*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -24*t + 299. Give o(12).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = x**2 + 21*x + 238. What is the smallest common multiple of 80 and c(-14)?\nAnswer: 560","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 3933342432?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2068368296 to the nearest integer?\nAnswer: 1274","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange r**2 - 4*r**2 - 9*r**2 - 7*r**2 to the form u*r + d + j*r**2 and give j.\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -164*g**3 - 4*g**2 + 2*g + 2. Let z(j) = -491*j**3 - 14*j**2 + 7*j + 7. Determine -7*d(l) + 2*z(l).\nAnswer: 166*l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 707 minutes after 10:35 PM?\nAnswer: 10:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 8*y + 2741 - 2701 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -757*q - 46285. Give g(-61).\nAnswer: -108","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) be the first derivative of -j**2\/2 - 3*j - 2. Let f(g) be the second derivative of g**3\/3 + 7*g**2\/2 - 3*g. Give 4*f(i) + 9*s(i).\nAnswer: -i + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.3 + 0. Let u = 0.9 + k. Let d = u + -0.596. Round d to 3 dps.\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-436 - 76*g + 436 + (0 - 1 - 3)*(-5*g + g + 0*g))*(-2*g + 2*g - g**3) in the form y*g + n*g**3 + f*g**2 + o*g**4 + x and give o.\nAnswer: 60","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9957 divided by -62453.\nAnswer: 9957\/62453","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*s = 14*s + 88. Let j = -10 - s. Solve 0 = g + j + 1 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a = -j + 8, -a + 14 = j + 2*j. Suppose -h + 7 = b, -3*b + a*b + 27 = 5*h. Suppose 0 = -2*m + 42 - b. What is the tens digit of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:36 PM and 6:37 AM?\nAnswer: 661","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide 9562814 by -251653.\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 11\/8 + -17\/24. Which is bigger: -2\/81 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*a**3 + 0*a - 3*a**2 + 4*a - 10*a to the form s + p*a**3 + h*a + w*a**2 and give p.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*2*sqrt(832)*2*-1.\nAnswer: -160*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o - 8 - 37 = 0. Let j = 8 + o. What is the units digit of j?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 599 minutes before 5:54 PM?\nAnswer: 7:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) be the first derivative of -p**4\/6 + 8*p**3\/27 + p**2\/9 - 4*p\/9 - 622. Factor z(r).\nAnswer: -2*(r - 1)**2*(3*r + 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) be the first derivative of -f**3\/3 + 55*f**2\/2 - 624*f - 4867. Factor r(d).\nAnswer: -(d - 39)*(d - 16)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 4 - 4.03. Let j = 0.923 - -410.977. Let n = 412 - j. Sort 4, p, n, 3\/2 in decreasing order.\nAnswer: 4, 3\/2, n, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -6*t**2 - 36*t + 9. What is the smallest common multiple of c(-6) and 213?\nAnswer: 639","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2683 + 2707. Let v(p) = p**3 + p**2 + 3*p + 3. Let n be v(5). What is the highest common factor of z and n?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -330*d + 45. Let n(v) = -15*v + 2. What is 2*b(u) - 45*n(u)?\nAnswer: 15*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -5 - -7. Suppose c*k - k - 2 = 0. Suppose -4*o + 4 = -2*q, o - 8 = -o - k*q. What is the closest to -0.1 in 4, o, -5?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, -3, -2, 1\/7, -817.4 in decreasing order.\nAnswer: 6, 1\/7, -2, -3, -817.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1 and 900520?\nAnswer: -900520","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 160*v + 149*v - 567*v - 550*v + 21*v - 582*v.\nAnswer: -1369*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -101141203 + 42?\nAnswer: -101141121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -h - 5. Let b be t(-4). Suppose -3*r = 5*k - 9 - 7, -4*r - 5*k = -13. Sort b, r, 5.\nAnswer: r, b, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = 1122*v. Let g be k(-1). What is the remainder when 61 is divided by ((-1)\/3)\/(2 - g\/(-558))?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert a (base 11) to base 4.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1132091.\nAnswer: 1132091","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (-13)\/(91\/4)*((12\/(-4))\/(-30))\/(-1)?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(2*-4*(-1 + sqrt(1573)))**2.\nAnswer: -302208 + 4224*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in ten thirds of a hour?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.81794 hours in minutes?\nAnswer: 469.0764","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 14460.4 milligrams to kilograms.\nAnswer: 0.0144604","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -20*10\/(-175)*(35\/(-2))\/(-5).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 2216.464 centuries in decades?\nAnswer: 22164.64","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -3*k**3 + 126*k**2 + 150*k - 899. Calculate q(43).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 418 - 328. Let l be (-438)\/v + -2*25\/(-10). Let w = -7 + 6.7. Which is the nearest to 0.2? (a) w (b) 5\/2 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -b**3 - b**2 + b + 3. Let h be a(0). Let q be 176\/(-6) - (-4)\/(-6). Calculate the common denominator of 67\/6 and h\/(q\/17) + -3.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) be the first derivative of -u**2 - 4. Let g(c) be the first derivative of 4*c**2 + 10. Give p(g(h)).\nAnswer: -16*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor x**2\/2 + 783477*x\/2 + 783475.\nAnswer: (x + 2)*(x + 783475)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 43096 (base 14) to base 16\nAnswer: 278ec","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-1 + -3065)\/(201\/(-268))?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 19 - 14. Solve v = -u*i + 11, -6 + 1 = v - 3*i for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -185 - -187. Let x be u\/112 - 20\/(-160). Let l(j) = j**2 - 6*j - 1. Let s be l(6). Which is the second biggest value? (a) s (b) x (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 2 + 2 + (1 + 1 - 4)*(0 + 0 + 1) - 3 + 3 - 2)*(0 + 1 - 3)*(28504*f - 13527*f**2 - 28504*f).\nAnswer: -81162*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Are -3992 and -3926 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -10*n**2 + 61*n + 27. Let l(p) = p**2 - p + 2. Let s(a) = -4*c(a) - 44*l(a). Determine m so that s(m) = 0.\nAnswer: -49, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 not equal to 2\/382795?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = 7*x**2 + 2*x - 4. Let f be q(-3). Suppose 2*y + 189 - f = 0. What is y rounded to the nearest ten?\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:16 PM and 11:46 PM?\nAnswer: 90","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 6123814 to the power of 1\/9, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -17\/1560 and -41\/16068?\nAnswer: 160680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c = g + 114664 + 110334, -g - 44998 = -c. Let o be 1\/(6\/c)*204. Round o to the nearest one hundred thousand.\nAnswer: 1500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (108\/90)\/(8\/5)?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fuuq when four letters picked without replacement from uuqf.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -i**3 - 2*i**2 - 4*i - 1. Let v be g(-1). Suppose -8*k**v + 2*k**2 + 6 - 4*k**2 + 5*k**4 - 1 = 0. What is k?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 24624*a**3*t**2*u**3 + a**2*t**2*u**2 - 2*a*t*u**3 + 324*t**2 wrt a?\nAnswer: 147744*t**2*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 158970 + -158967. Factor -2\/7*a - 4\/7 + 2\/7*a**p + 4\/7*a**2.\nAnswer: 2*(a - 1)*(a + 1)*(a + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -l**3 - 5*l**2 - 6*l - 6. Let y be n(-4). Suppose -z = 5*w + 17, y*z - 4*w + 25 = -5*w. Is (-3)\/z + (-246)\/(-8) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -364027*j**2 + 1026315 wrt j.\nAnswer: -728054*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 3480142?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 13395373 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(5) + 1 + sqrt(20)\/(sqrt(4)*2))**2 + 1 + (sqrt(30)\/(sqrt(12)\/sqrt(2)) - sqrt(5)) + 0.\nAnswer: 49\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 1037261064?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aaan when four letters picked without replacement from {n: 7, a: 9}?\nAnswer: 21\/260","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -7, 5\/13, 0.4, 0?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 0.3 times -63\nAnswer: -18.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bguu when four letters picked without replacement from ubggbguu?\nAnswer: 3\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (805\/(-21))\/((-32)\/6). Let q = -193\/203 - 5711\/464. Let v = q + h. Find the common denominator of v and 25\/6.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 271.6 - 272. Which is the fourth smallest value? (a) 0.5 (b) v (c) 0.02 (d) 6\/11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2\/13, 0.1, 8, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 57 = 2*d - d - 5*y, 48 = d + 4*y. Suppose -4*o + 74 = 5*i, 0*o = -2*i + 4*o + d. What is the lowest common multiple of i and 14?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1052990060?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s - 3*v - 19 = 0, -3*v - 13 = 3*s - 2*s. Suppose 4*u = 13*w - 15*w + 160, 0 = 3*u + 5*w - 134. What is the greatest common factor of u and s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -962, -959, -956, -953?\nAnswer: -950","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-45)\/20)\/((81\/(-60))\/9). Let s = -297 - -357. Calculate the greatest common divisor of p and s.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 4 and 99280.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 143 + -102. What is the tens digit of a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -435*v + 429*v - 8106. Are -1350 and v nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-14)\/189*9*-18?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -6 + 92*r - 93*r - 5 + 203*r**5 wrt r.\nAnswer: 4060*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 266 <= 283?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((-4)\/(-20) - 3619\/20)\/((-30)\/5840).\nAnswer: 2, 73, 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 21 + -21. Do y and -4\/7 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 152 minutes before 11:04 PM?\nAnswer: 8:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve o**3\/2 + 1292*o**2 + 155214*o + 884880 = 0.\nAnswer: -2458, -120, -6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or -39\/64?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1.13 * 883.43.\nAnswer: -998.2759","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33*w + 26 = -29*w - 2*k, w - 4*k = 24. Let o be 3\/9 - (-6 - -5). Sort w, -4, o in increasing order.\nAnswer: -4, o, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 641 minutes after 11:01 PM?\nAnswer: 9:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*y**2 + 7*y**2 - 24*y**2 + 14*y**2.\nAnswer: 2*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 71\/278356738 and 81\/202441264?\nAnswer: 2226853904","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -13040 (base 6) in base 13?\nAnswer: -b85","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 64 and 4192.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = f + 3*y + 18, -4*f + 2*y + 3 = 5. Let u be f - (1 + 51\/(-6)). Find o, given that -2*o**5 + 0 - 3*o**3 + u*o**4 + 0*o + 1\/2*o**2 = 0.\nAnswer: 0, 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 33869517?\nAnswer: 3, 11, 563, 1823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3738171 to the nearest integer?\nAnswer: 1933","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(36) - sqrt(144)\/sqrt(4))\/sqrt(9))\/(sqrt(2) - sqrt(128)*-2) + 4)**2 + -2.\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -50 + 64. Let w(u) = 4*u - u**2 - 3 + 11 + 2 + 2*u. Let l be w(7). Sort l, y, 4 in ascending order.\nAnswer: l, 4, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3511977999?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -5, 5881\/2, 17.14?\nAnswer: 17.14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -2*s - 1. Let m(n) = -258*n**2 - 10*n - 6. Calculate 5*g(j) - m(j).\nAnswer: 258*j**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3 + 2. Let l = 1 - x. Let k = l - -1. What is the second biggest value in 1, k, 2\/15?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/(v*v\/(v**(-1\/3)*v)*v))**18\/(v**(1\/3))**(-13\/2) assuming v is positive.\nAnswer: v**(-131\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 11 + -6. Suppose -5*i = -5 - 15. Suppose -x*t + 159 = i*l, -3*l + 6 = 3. Is t composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2491609*i**5 - 2*i**4 - i**3 - 4*i**2 + 2073609*i.\nAnswer: 149496540*i**2 - 48*i - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = g. Let a be 1\/(3\/6)*1. Let c(k) = -4 + a*k + 4. Determine c(h(u)).\nAnswer: 2*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1185 is divided by 12?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 2 - 2)*(-3 + 3 + n) + (-2*n + 6*n - n)*(2 - 1 + 0).\nAnswer: 5*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 47935 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 83785 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -1000010111011 (base 2) in base 14?\nAnswer: -17bd","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1b3 (base 12) to base 4.\nAnswer: 10113","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 99\/68 - (-3 - 49\/(-17)) and (-374)\/(-12) - (2 + 8).\nAnswer: 204","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.07*-4339\nAnswer: 303.73","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -0.4 - 3604\nAnswer: -3604.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -1378, -5519, -12448, -22189, -34766, -50203?\n\"Answer: -4*m**3 - 1370*m**2 - 3*m - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 187410430 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 463822 - 3*l - 463822.\nAnswer: -3*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -123 (base 9) to base 12\nAnswer: -86","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 95741 = 17*a + 2*a. Is a a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -34*p - 150 = 68*p - 49*p + 1493 for p.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -11 + 5 + (3 - 2)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*w**6 - 242*w**5 - w**3 - 7240*w**2 wrt w?\nAnswer: 240*w**3 - 14520*w**2 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -60 = 15*f - 0 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -2*x**3 + x + 1. Let k be d(-1). Suppose -5 - 15 = -k*b. Let i = 223 - 143. What is the greatest common factor of b and i?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-1\/13)\/h*h\/h**5*h)**(1\/10)*(h\/(h*(h*((h\/(h*h**(2\/13)))\/h)\/h*h)\/h))\/h**(2\/9)*(h**(-3)\/h)\/h*h**1 assuming h is positive.\nAnswer: h**(-4067\/1170)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -5*r + 48. Let v be d(-5). Is v < 74?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**7*w*w)\/w**(2\/5) assuming w is positive.\nAnswer: w**(43\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 403\/3? (a) -4 (b) 4 (c) 3\/8 (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2*-0.04881207.\nAnswer: 0.09762414","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 58792 and -61.\nAnswer: -3586312","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/1085 >= 0.11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -2*f. Let j(a) = 111*a + 2. Determine t(j(m)).\nAnswer: -222*m - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-318)\/12 + 14)\/((-1)\/2) + -4. Solve 20*v + 1 = h for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g - 4*o = -7, o - 5*o = -4*g - 40. Put 0, -5, g in ascending order.\nAnswer: g, -5, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -x**2 - 12*x + 26. Calculate a(-12).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -l**2 + l + 29. Let y be (232\/203)\/(3 + -1 + 32\/(-14)). Determine d(y).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 9043, 14728, 17055, 16024, 11635, 3888, -7217?\nAnswer: -21680","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (1 + 0)\/((-2)\/(-8)). Suppose -8 = v*w, 4*w + 4 + 8 = 2*r. Suppose -r*d + 3*d = 4. What is the units digit of d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 58 - 83 - -25 - -13?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p - 4*k = k, -4*p = -3*k - 21. Factor w**3 - 4*w**4 + 2*w + 8*w**2 - 4*w**4 - 3*w**p.\nAnswer: -2*w*(w - 1)*(w + 1)*(4*w + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3943 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4 - (1 + 0 + -1)) + 9.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00347214163 to 6 dps.\nAnswer: 0.003472","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 303 + -2?\nAnswer: 301","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.2 (b) -3\/4 (c) 2 (d) 32 (e) 0.62 (f) -2\/13 (g) 4\/5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -96, -2\/11, -3, 5, 3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -3*t**2 + 2*t. Let f be h(2). Let p = 1 - f. Calculate the lowest common multiple of 7 and (-6)\/p*2*-6.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 36543281 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 256.77*0.1.\nAnswer: 25.677","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 34 + -40. What is the common denominator of (3\/(-9)*-53)\/(20\/v) and 28\/83?\nAnswer: 830","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dj when two letters picked without replacement from djxfb.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (7 + -4 - 12) + 16 + -29 + 4?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 6507748?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 9, w: 1, t: 1, l: 4, p: 2}. What is prob of picking 1 w and 1 l?\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 33467*i - 2*i**2 - 16744*i - 36*i**2 - 16737*i.\nAnswer: -38*i**2 - 14*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*t + 10*t + 115428 = -t. What are the prime factors of t?\nAnswer: 2, 9619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = l**3 - 9*l**2 + 19*l - 46. Give v(7).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -31.99999862 - -32. Round b to 7 decimal places.\nAnswer: 0.0000014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7199 to the power of 1\/2, to the nearest integer?\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 62 a factor of 1240?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p = p + 6. Suppose 3*r = 14 + 22. Let s be (-4)\/p*6\/r. Is s <= 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -183, 1042, 4353, 10794, 21409?\n\"Answer: 174*r**3 - r**2 + 10*r - 366","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -3440, -14618, -33248, -59330?\n\"Answer: -3726*f**2 + 286","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 924292287?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 17\/1689 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express -26*m + 65*m - 37*m - 193 in the form i*m + s and give i.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 3\/(3\/(1 - -2)) + 19. Let r be ((-2)\/(-4))\/(b\/176). Find the third derivative of -58*q**2 + 77*q**2 + 15*q**4 + 6*q**r wrt q.\nAnswer: 504*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -l**3 - 15*l**2 - 15*l - 15. Let c be b(-14). Let n be c*1*9\/(-1). Solve 0 = 3*i + 3 + n for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = g**2 - 522. What is p(-23)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 27 (base 11) to base 9.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -40592, 113, -4 in decreasing order.\nAnswer: 113, -4, -40592","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 33\/(-22) - 7\/(-2). Suppose -19 = -2*k - b*k + a, k - 7 = a. Suppose 0 = 3*f - 0*f - 12, 0 = 3*g + k*f - 7. Let v(t) = t**2 + 4. Determine v(g).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 28\/3 and -67\/189.\nAnswer: 189","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zzzzzziizzzzz. What is prob of sequence zzz?\nAnswer: 15\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 48847691 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 89020?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1822815553?\nAnswer: 13, 140216581","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l - g + 57 = 42, -3*l + 3*g = -15. Let h = -1 + 2. Let f be 6*(-2 + 0\/h). Put f, 1, l in increasing order.\nAnswer: f, 1, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -107\/10 and -29\/88?\nAnswer: 440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s = -0*s - 1. List the prime factors of (s - 0)*(0 - -35).\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 54 divide 3247856?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1233.31198 + -1233.2. Round w to 2 decimal places.\nAnswer: 0.11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1921+0.0217\nAnswer: -1920.9783","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 86705 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -0.5 (b) 0.46 (c) 0.6 (d) 0.2 (e) -1\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/7 + (-4)\/(-42*7\/(-651))\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 4096 and 53760?\nAnswer: 512","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (7\/(63\/(-2)))\/((-5)\/9). Let y = -53\/20 - -12\/5. What is the closest to 0.1 in y, -11, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) be the second derivative of 11*a - 12*a**2 - 2 - 11\/4*a**4 + 23*a**3. Let p(f) = 0. What is f?\nAnswer: 2\/11, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -7, -23, -35, -31, 1, 73, 197?\n\"Answer: 2*b**3 - 10*b**2 + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -1. Let h(f) = 17*f - 146. Let v(w) = -h(w) + 2*m(w). List the prime factors of v(-20).\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/((-18)\/720*5)\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*d**2\/5 + 455396*d + 129615948010 = 0. What is d?\nAnswer: -569245","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 207480110?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 996?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 40114 and 6944.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -20 divided by -4?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 260.9579652 to the nearest 10.\nAnswer: 260","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 103525258939 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4462 or -4458?\nAnswer: -4462","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3 + -17 - (-15 + 19)) + (7 - -2)?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -2*m**2 - 17*m - 16. Let h be y(-7). Let k be (-2)\/(2\/(-1) - -4). Let f be k\/(1\/10*2). Which is the third biggest value? (a) -4\/5 (b) f (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -19864080 divided by -282.\nAnswer: 70440","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 11\/98 and 3\/14?\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -2 (b) -1\/3 (c) -105\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -2 + 15?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 511 - 514. What is the third biggest value in -0.86, c, 0.4?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -41 in 0.14, -24, 3, 5, -0.4?\nAnswer: -24","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -67926*k - 3*d = -67923*k, -3*d - 2 + 3 = 14*k + 12 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: What is 0.0339 minus 0.08?\nAnswer: -0.0461","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -a - 21*h + 16*h + 34054, h = 3*a - 102146. Is a composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -695, 1229, 6431, 16549, 33221, 58085?\nAnswer: 92779","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 21044979902 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 27205, 28001, 28797?\nAnswer: 29593","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = h**3 + 78*h**2 + 149*h - 229. What is j(-76)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.5 - -90134.6.\nAnswer: 90135.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = g**2 - 3*g - 10. Let r = 6505 - 6489. Calculate the least common multiple of r and d(9).\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 59211156, 118422309, 177633462, 236844615, 296055768?\n\"Answer: 59211153*r + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 445 = 5*v + 5*u, -5*v = -3*u - 0*u - 469. Suppose -v = -2*a - 2*a. Is 4*2\/8*a a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3664768804?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -768 + 3843\/5. Factor 0 - m*i**2 - 9\/5*i.\nAnswer: -3*i*(i + 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 428 minutes after 8:12 AM?\nAnswer: 3:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 19860598?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 4781 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -17? (a) 127.06 (b) -5 (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) be the first derivative of r**4\/4 - 14*r**3 + 144*r**2 - 544*r + 862. Solve s(w) = 0.\nAnswer: 4, 34","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = -2*h - 4*d, 47 = -4*h - 77*d + 78*d. Is h greater than or equal to -15?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -8? (a) 5 (b) -5\/4 (c) 1 (d) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2859, -5631, -8403, -11175, -13947, -16719?\nAnswer: -19491","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in r**3 + 152*r - 54*r - r**2 + r**2.\nAnswer: r**3 + 98*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ddzzvedviqziqzddqzz. What is prob of sequence edv?\nAnswer: 5\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 205265?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 69777151 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -v + 11. Let p be i(-10). Let c = -19 + 103. What is the highest common factor of p and c?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10110011000011111 + 1111?\nAnswer: -10110011000010000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = b**3 - 5*b**2 - 3*b + 22. Let v be k(5). Suppose -v*t + 4 = -3*t + 4*z, -2*t + 2*z = 2. Solve 2*a - 12 = -2*m, -3*a + t*a + 5*m = 22 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = h**2 + 3*h + 3. Determine m(-2).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -593 + -346. Let f = j - -1716. Does 26 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -6667 by -361.\nAnswer: 6667\/361","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1\/4*-2 + (-66)\/(-12). Suppose 11 = m*s - b - 0*b, 3*b = -4*s + 24. List the prime factors of s.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find f such that -f**5 - 422*f**4 + 2*f**3 + 844*f**2 - f - 422 = 0.\nAnswer: -422, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 1501 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 106318, 212652, 318986, 425320, 531654, 637988?\n\"Answer: 106334*d - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*t**2 + 240*t - 3838.\nAnswer: -2*(t - 101)*(t - 19)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -603*m - 13258 - 9656 for m.\nAnswer: -38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5\/3, 2\/117, -15, 11, -2\/5, 2\/5 in decreasing order.\nAnswer: 11, 5\/3, 2\/5, 2\/117, -2\/5, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -3*d**3 - 37*d**2 - 72*d - 592. Does 52 divide l(-28)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -90423*-1.\nAnswer: 90423","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j = -4*h + 1, 3*h + 1 = j + 4*h. Let r be (0 + 0)*(2 + j). Let x(v) = -v**2 - v - 7. Calculate x(r).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.2 less than -0.117?\nAnswer: 3.083","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 84431.7 millilitres?\nAnswer: 84.4317","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of -10 and 0.07967.\nAnswer: -0.7967","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1257 is divided by 74?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 1011010 (base 2) to base 15\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5238953 is divided by 34695.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -53132897 + 100262897. What is v rounded to the nearest 1000000?\nAnswer: 47000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 2\/15 of a hour?\nAnswer: 8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 11, 2, -906, -5, 1, -1, 5 in ascending order.\nAnswer: -906, -5, -1, 1, 2, 5, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*w + 13 = 55. What is the third smallest value in w, 1\/4, 4\/55?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 111010100011 (base 2) to base 3\nAnswer: 12010210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (8*v + 8*v + 5*v)*(-8*v + 10*v + 3*v + (-3*v + 3*v - 2*v)*(1 - 3 + 1) + v + 3*v + v) in the form l*v**2 + d + t*v and give l.\nAnswer: 252","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 65 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 4204 + -3354. What is the greatest common divisor of c and 4930?\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -19452*o - 213972. Let m be l(-11). Factor -1\/5*d**4 - 14\/5*d**3 + 0*d + m - 49\/5*d**2.\nAnswer: -d**2*(d + 7)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 101120012 (base 3) to base 15\nAnswer: 2435","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 83260424?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2\/63 - -193\/126. Which is the second biggest value? (a) -1 (b) -5 (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -105, -215, -327, -441?\n\"Answer: -d**2 - 107*d + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 843155 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 174*g**2 + 15 + 154 + g + 72 + 0*g wrt g?\nAnswer: 348*g + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 13 - -2395e5?\nAnswer: 2395f8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/5? (a) -0.5 (b) 0 (c) -47.1 (d) -2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) be the third derivative of 0*j**3 + 3*j**2 + 1\/105*j**6 + 0*j**4 - 2\/105*j**5 + 0*j + 0 - 1\/735*j**7. Determine q so that x(q) = 0.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 456.4906 millennia?\nAnswer: 4564.906","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*k - 2*k. Let x be (k - -2) + (-1 - -1). Let y be 0 + ((-28)\/(-1))\/2. Solve 0 = -5*l + d + y, 0*l + x*l - d = 8 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1 and 464?\nAnswer: 464","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 1108138554?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -2 + -1555ad?\nAnswer: -1555b1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 64913 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2.38 + -0.69. Let j = q + 0.31. What is the nearest to j in 2, 1, 1\/4?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -11, -1, -13, 3415 in increasing order.\nAnswer: -13, -11, -2, -1, 3415","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:24 AM and 2:52 PM?\nAnswer: 568","meta":{"dup_signals":{},"source":"measurement__time_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: Let q be (-24)\/16*4\/(-6). Let c be 887 + q + -1 + -2. Suppose 8*u - c = 3*u. Is u a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = 34*o**2 + 958*o + 156. Determine p(-28).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 130 - 129. Sort -0.5, 29, s, 4.\nAnswer: -0.5, s, 4, 29","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 5*p, -5*o + 129 = -2*o - 3*p. What is the remainder when (-320940)\/(-3780) + 2\/42*2 is divided by o?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*n - 27 = -8*n. Let r = n + -27. Suppose -o + 42 - 14 = r. Is o a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -19 + -8 + 14 + 4\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*t + 760 + 584. Is 0.1 at most t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -8 + 8. Suppose -5*t = m - 186 - 189, m - 5*t - 425 = q. What is m rounded to the nearest 100?\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -11*z**2 + 4*z**2 + 13*z**2 in the form b*z**2 + w*z + x and give b.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -26*6\/(-4)*-1*1.\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is one twentieth of a milligram in nanograms?\nAnswer: 50000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x - 20 = -h - 14, x + 3 = 0. Let z(s) = 92*s - 33. Let w be z(h). What is w rounded to the nearest one hundred?\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(sqrt(24) - sqrt(216)))\/(sqrt(32)\/sqrt(4)*4).\nAnswer: 5*sqrt(3)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 623 and 9075241?\nAnswer: 623","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 8 in 2\/13, -4, 0.13893?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + 4 = -5*a, 3 = -3*m + 4*a + 8. Solve s - 1 = 0, 2*o - 6 - 7 = -m*s for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 98443 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 877356?\nAnswer: 2, 3, 24371","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 361 = -3*x - 320. Let o = 18 - x. Let a = 30 + o. List the prime factors of a.\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -9, -13 in ascending order.\nAnswer: -13, -9, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*y - 9 = 12*y for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1400\/440 - 4\/22?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 366464339.\nAnswer: 67, 83, 65899","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*u + 13*u - 11*u - 161 = 0 for u.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of ((-782)\/840)\/(-1) + 136\/476 and -1 + (232\/(-140) - -2).\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 10\/5 + 3 + -2. Suppose 0 = 5*b + 3*c, 2*b = q*c - 26 + 5. Let l(f) = 8*f. Let r(i) = -13*i + 2. Let t(a) = -5*l(a) - 3*r(a). Calculate t(b).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3)\/(-68)*(-16)\/(-6).\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(sqrt(30)\/sqrt(40) - sqrt(363)*4) + 2)**2.\nAnswer: -348*sqrt(3) + 22711","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 4, 2, 0, -2?\n\"Answer: -2*r + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = v**3 - 5*v**2 + 3*v + 9. Let o be b(4). Suppose o = 5*m, 2*z = z + 5*m - 3. Let t = 5 - 2. Solve t*s + z*s = 20 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2*15*(-4)\/24\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -437 + 729. Let o = u - 291. Solve 2 + 2 = f + 2*w, f - w - o = 0 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*v - 6*v - 26. Let g = 19 + v. What is the remainder when 9 is divided by g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) be the third derivative of 89*f**5\/10 + f**2 + 148. Let i(k) = k**2. Give i(a(q)).\nAnswer: 285156*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 - 4*y**3 - 905*y**2 + 1831*y**2 - 907*y**2 in the form d*y**3 + w + a*y**2 + i*y and give w.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = 2*l - 7. Let t be z(6). Let f(h) = -h - 2. Let c(q) = -q + 2 + 4 - 3 - 4. Let v(g) = -5*c(g) + 2*f(g). Let y(s) = -s. Determine t*y(m) + v(m).\nAnswer: -2*m + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*h + s - 43043, 14096 = 2*h - 2*s - 3126. Is h prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z - 1 = 9. Suppose -3*y + 131 = z*a, -4*y - 171 = -3*a - 0*y. Suppose 0 = a*b - 57*b + 12. Do -7\/4 and b have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -36, -2, -1\/7, -0.11, 0.004 in increasing order.\nAnswer: -36, -2, -1\/7, -0.11, 0.004","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 365 + -365. Sort v, 15\/38, 1.\nAnswer: v, 15\/38, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -3a - 102a?\nAnswer: -1069","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide -80 by 40.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(-1*(sqrt(512) + -1 + sqrt(512)) + sqrt(512) + -4)*-1*1)**2.\nAnswer: 3456*sqrt(2) + 18756","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -1031.908351 to 1 decimal place.\nAnswer: -1031.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 684bc (base 15) to base 16.\nAnswer: 51033","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (42\/49)\/(-6) - (-39)\/(-21).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 10*u + 17*u - 9963. Calculate the greatest common factor of u and 2091.\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 646768.7817 rounded to the nearest one hundred thousand?\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yhj when three letters picked without replacement from {y: 3, j: 1, h: 1}.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -82382699.9999 + 82340473.6. Let v = g - -42223. Let o = v + 3.4. Round o to 5 decimal places.\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 0, -2, 3\/7, -4\/5, 208 in decreasing order.\nAnswer: 208, 3, 3\/7, 0, -4\/5, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q - 108 = -117. Put q, -5, -4, 3 in decreasing order.\nAnswer: 3, q, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(12)\/(sqrt(216) + -2*sqrt(216) + sqrt(216) - sqrt(6)))**2.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*3*(sqrt(12)\/sqrt(4) + 5 - sqrt(3))**2.\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nklkkrlklkrnrlk. What is prob of picking 1 r and 2 l?\nAnswer: 18\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 u when two letters picked without replacement from {n: 2, h: 1, i: 2, c: 1, l: 3, u: 3}?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 4 (base 11) to base 15\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = 15*r**3 + 4*r**2 + 2*r + 2. Let h be u(-3). Let x = 195 + -408. Let g = x - h. Is 32 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*v - 9*v + 45. What is the units digit of v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 5546, 11064, 16568, 22052, 27510, 32936?\n\"Answer: -g**3 - g**2 + 5528*g + 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -42.63393767 - -881.63386027. Let g = z + -839. Round g to five dps.\nAnswer: -0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(2\/13)\/((v\/(v**(1\/9)*v))\/v)*v**7\/v*v**9)**(-27\/5) assuming v is positive.\nAnswer: v**(-5709\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t - 2*t + 80 = 0. What is the smallest common multiple of (1 - -1) + 1 + 11 and t?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-93 - (58 - 110)) + -3?\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7237614.\nAnswer: 2, 3, 17, 70957","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 12353917.52 to the nearest one hundred thousand.\nAnswer: 12400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:29 AM and 6:15 AM?\nAnswer: 286","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1, 2, -14, 1\/9?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-336 - (-307 - -20)) + 0 + 33.\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 1158.55 to 0 decimal places.\nAnswer: 1159","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v = -v - 10. Suppose -5*u = v - 10. Suppose 0 = 2*l + c + 2*c - u, -4*l - 5*c + 5 = 0. Solve n + 2*z + 9 = 0, -5*n - 3*z + z = l for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -52*k + 48*k - 16 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: ((-2 + 3)*3\/(-27))\/(638\/1584*-12)\nAnswer: 2\/87","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is a616b (base 12) in base 14?\nAnswer: 59603","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find l such that -35*l**2 + 93650*l + 26760 = 0.\nAnswer: -2\/7, 2676","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:26 AM and 7:24 AM?\nAnswer: 418","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o + 4*l - 18816 = 0, o - 3*o = 3*l - 18812. What is o rounded to the nearest 10000?\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 32491 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xsssggggqrgsxqg. Give prob of picking 2 q and 1 g.\nAnswer: 6\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 2, q: 8, j: 5}. What is prob of picking 1 j and 1 g?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 0 + (6 - 0) + -2. Suppose 11 - k = -v. Is (v\/3)\/((-7)\/105) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1235 + -1233. Which is smaller: 51\/20 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26*k - 41*k = -135. Solve z + 4 = -3*a + k, -4*z + 3*a - 10 = 0 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -143.15 rounded to the nearest 10?\nAnswer: -140","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -2249700 rounded to the nearest 10000?\nAnswer: -2250000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = d**3 + d**2 - d + 3. Suppose -4*s + 8*s = 0. Let t be u(s). Let v = 211 + -211. What is the second smallest value in 0.4, t, v?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -80*j = -83*j + 3. Let t(x) = 33*x**2 - x + 1. Let y be t(j). Suppose d = 19 - 8. Calculate the highest common divisor of d and y.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -2988042, -5976091, -8964140, -11952189, -14940238, -17928287?\n\"Answer: -2988049*m + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1791123043?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1079 and 49995465?\nAnswer: 1079","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1618 - 1628. Let c(l) = -l**3 + l**2 - 1. Let h be c(-1). Let i be 64\/h*m\/(-20). What is the greatest common factor of i and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -35827\/375147 + -2\/5139. Which is greater: m or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence erp when three letters picked without replacement from {j: 3, u: 4, e: 1, t: 2, r: 1, p: 4}?\nAnswer: 2\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express -102*g**2 + 35*g**2 + 20 + 82*g**2 + 37*g**2 - 1 in the form j*g + h + x*g**2 and give h.\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -965*p**3 + p**2 + 10*p + 11. List the prime factors of s(-2).\nAnswer: 5, 1543","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (31 + 71 + 31 - 10)*(3*n**4 - n**4 - 3*n**4) in the form h*n**3 + p*n**2 + a + q*n + d*n**4 and give d.\nAnswer: -123","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 1, w: 1, o: 1, r: 1, h: 1, s: 2}. What is prob of sequence ss?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = z + 3. Suppose 0 = -2*j - j + 5*w - 17, -4*j - 16 = -5*w. Let c be (-4 + -4)\/(j - 3). Calculate the smallest common multiple of 3 and k(c).\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = 283*t + 1403. Give y(-5).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-u + u - 2*u)*(2*u**2 - 6*u**2 - 3*u**2)*(-3 + 3 + 2*u) - 4*u**4 - 4*u + u**4 + 2*u**4 to the form c*u**3 + p*u + a + q*u**4 + g*u**2 and give p.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*u*u**(-2\/5))\/u*u**19\/u*u*(u*u**(-5\/4))\/u*u**20 assuming u is positive.\nAnswer: u**(767\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -k**2 - 10*k + 3. Let g be t(-10). Suppose 0 = -5*c + 3*s + 215, c - g*c - 5*s + 117 = 0. Let o = c - -1. List the prime factors of o.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (124\/(-155))\/((-2)\/(-1075)). Let s = y + 434. What is the greatest common factor of s and 22?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 375994?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:36 PM and 10:16 PM?\nAnswer: 520","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express (-15 - 20 + 2)*(-115 - 12 - 69)*(3 + 0 - 5)*(-5*x + 3*x + 0*x) as v + o*x and give o.\nAnswer: 25872","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -202 and -79?\nAnswer: 15958","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -2 + 133851125?\nAnswer: 133851123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 (base 5) in base 9?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4 in 6, -2\/3, -0.062, -80?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 14 + -10. Let q(d) be the first derivative of 4*d**3\/3 + d**2\/2 + 1. Let g be q(-1). Which is the third smallest value? (a) 0 (b) j (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 10607\/624 + -628\/39. Find the common denominator of -85\/156 and w.\nAnswer: 624","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = 17*y - 28. Calculate j(0).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1.59 - -1.824. Let b = d + -0.034. Let s = -17 - -11. Which is greater: s or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 7 - 5. Suppose -h*q - 47 = 9. Let a be 42\/q*-14*1. Solve 2*r + 29 = -5*o, 6*r + a = -3*o + 3*r for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27*s + 117 + 261 = 0. Suppose 0 = -4*a + s*a - 17680. List the prime factors of a.\nAnswer: 2, 13, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 8129*t**3 - 166*t**2 wrt t.\nAnswer: 48774","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(-6*(-3 + (sqrt(3) - sqrt(12)) - sqrt(3)) + -3)**2 - (-5 + (sqrt(3) + -5*sqrt(3)*3 - (sqrt(3) + 2 + sqrt(363)))).\nAnswer: -1964 - 1054*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**17\/(q*q**(14\/9)))\/(q\/(q*q**(-11\/5))*q*q*q\/q**(-22)))**(-1\/5) assuming q is positive.\nAnswer: q**(574\/225)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 29798834503 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 8408624 to the nearest integer?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 84699.16 centuries?\nAnswer: 8469916","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 97*h - 194*h + 102*h - 60 for h.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x - 40 = -5*j, -4*x - 9 = -7*x. Calculate the remainder when j is divided by 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 578142149 a multiple of 249?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 352334609 to the power of 1\/5, to the nearest integer?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = 48*m + 201. Let p be i(-4). Solve l - 3*q - 2 - p = 0, 3*l = -2*q + 11 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1.89 (b) 1 (c) -3\/7 (d) -12 (e) -4 (f) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put -3\/2, -8\/183, 1\/3, -4\/5 in decreasing order.\nAnswer: 1\/3, -8\/183, -4\/5, -3\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00014425 rounded to 6 dps?\nAnswer: -0.000144","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 87 and 493.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = a**3 - 30*a**2 + 55*a. What is y(28)?\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2666122 is divided by 533218?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t + 20 = -7. Let l(c) = c**3 + 9*c**2 - 2*c - 12. Let v be l(t). Suppose 0 = -x + v*x - 110. Calculate the smallest common multiple of 2 and x.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-11508)\/1781 - (-2 - 4)?\nAnswer: -6\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:09 AM and 2:40 PM?\nAnswer: 391","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k = -15, l + 4*k = -4*l - 32. Suppose -6 = -3*v - 21. Sort 1, v, l.\nAnswer: v, l, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -393*d**3 - 4 + 195*d**3 + 196*d**3 + 4.\nAnswer: -2*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 138\/(2*(-2)\/(-6)). Suppose 4*i + 43*q - 40*q - 83 = 0, 4*i - 2*q = 98. Calculate the highest common factor of b and i.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -2*t**2 - 2249620*t. Let p(i) = i**2. What is j(p(q))?\nAnswer: -2*q**4 - 2249620*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-54*u + 20*u - 15*u)*((7 - 5 + 2)*(-2 - 4 + 5) - 1 - 1 - 1)*(-3 + 5 - 1 - 4 + 1 + 4 - 2 + 5 - 2 + (6 - 2 - 3)*(1 + 2 - 5)) to b*u + a and give b.\nAnswer: 343","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b - 3*n + 19 = 0, -5*b + n = -90 - 0. Let z = b + -5. Is z a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1329553920?\nAnswer: 2, 3, 5, 233, 743","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 286*15684\nAnswer: 4485624","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*-2*(sqrt(1764) - sqrt(1764)*-1))\/((6*-2*sqrt(108) + sqrt(108))\/(sqrt(225)*1)).\nAnswer: -140*sqrt(3)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 75372 is divided by 176?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 163*x + x**2 - 163*x.\nAnswer: x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*t - 2*v = -25 - 51, 0 = -2*v + 28 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 39739809 and 42?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6\/7, -4, -2\/7, -2\/3639.\nAnswer: -4, -6\/7, -2\/7, -2\/3639","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 635878?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1671 is divided by 18.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/17 in -0.4, -0.2, -2\/67, 7\/3, 15?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -36, -48, -56, -54, -36, 4, 72, 174?\nAnswer: 316","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -2*n**2 + 2834*n + 4718376. Calculate q(-983).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 185\/8 in 3262, 0, 2\/3, -2, 0.2?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d\/(d*d**0)*d)**29\/((d\/(d\/((d*d**(-5\/4))\/d)*d)*d)\/(d*(d**4\/d)\/d)) assuming d is positive.\nAnswer: d**(133\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 15 or 8.59912?\nAnswer: 8.59912","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m + 31315 = 5*u, 2*m = -0*u + 2*u - 12520. Suppose -2*l - 3*s + 20015 = 0, -l + 3715 = -4*s - u. What is l rounded to the nearest one thousand?\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -621084, -2484288, -5589612, -9937056, -15526620, -22358304, -30432108?\nAnswer: -39748032","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -61\/354 + -175\/354. Sort -3, c, -122, -34 in ascending order.\nAnswer: -122, -34, -3, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-7)\/(-141))\/(((-168)\/(-64))\/((-729)\/(-324))).\nAnswer: 2\/47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b\/b**(-14)*b\/b**3 assuming b is positive.\nAnswer: b**13","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 6 + 9. Suppose 5*p - 5*t = -3*t + 77, p - 5 = 3*t. Suppose 2*g - q = -4*u + g, 3*u = 5*g + p. List the prime factors of u.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1212097?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 37 or 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 5324270?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 66740095 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 152*z - 9324 = -8*z + 12*z. Calculate the highest common factor of z and 19341.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) be the second derivative of 3*z**4\/4 + 13*z**3\/2 + 5*z. Find the second derivative of w(t) wrt t.\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 21, 79, 22, 4 in decreasing order.\nAnswer: 79, 22, 21, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/916? (a) -0.06 (b) 3 (c) -5 (d) 2\/153 (e) -1\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -15, -8, 9, 42, 97, 180, 297?\n\"Answer: i**3 - i**2 + 3*i - 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -183 or -94?\nAnswer: -183","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 42\/8*32\/(-12). Let t = -14 - i. Solve -5*z = -4*f - 3, 0 = 2*z + f - t - 9 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 2 - 113424355?\nAnswer: -113424353","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p - 2 = 3*b + 8, 4*b + 18 = 2*p. Let v be 1 - (-3 - (-20)\/4). Let j be (7\/((-21)\/(-12)))\/v. Sort j, p, 2 in ascending order.\nAnswer: j, p, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 + -4 + 1 + (-4 - -4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p and 1 h when two letters picked without replacement from {p: 1, h: 1, u: 2}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -345 = t - 4*c, -t - 421 = 5*c - 112. Let r = t - -331. Suppose 0 - 4\/3*s**3 - 2\/3*s**4 - 2\/3*s**r + 0*s = 0. What is s?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (18\/84)\/(42\/(-686)*-182)?\nAnswer: 1\/52","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/3 in 1, 4, 1.1, 2\/49?\nAnswer: 2\/49","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) be the first derivative of h**4\/4 + 7*h**3\/3 - 2*h**2 - 26*h + 7. Let v be p(-7). Solve c + 5*g = -3*c + 21, 2*g + 6 = v*c for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 1, i: 1, g: 2, e: 1, d: 1, l: 2}. Give prob of picking 1 d, 1 i, 1 g, and 1 l.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1231314 to the nearest integer?\nAnswer: 1110","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -33, -21, -11, -3?\n\"Answer: -b**2 + 15*b - 47","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**3\/a**(-7)*a\/(a*a**(-2\/23)*a*a)*((a**(1\/6)\/a)\/a)\/a)**(-7\/3) assuming a is positive.\nAnswer: a**(-5075\/414)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (1 - 0)*(-2)\/((-2)\/107) is divided by 56.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0004207355 to 6 dps.\nAnswer: -0.000421","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u - 9 = -5*d, -3*u + 3*d = u + 1. List the prime factors of u + 1\/(-1) + 9.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -121 and 85703113?\nAnswer: 85703234","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express (188 + 17*k**2 + 15*k**2 - 187)*(-2 + 2 + 2*k) as t*k**3 + y + b*k + m*k**2 and give t.\nAnswer: 64","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -305067 - 1341?\nAnswer: -306408","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 505480246 to the nearest integer?\nAnswer: 797","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*d + 5*d + 2*d)*(2 - 1 + 2) - 1 + 1 - 3*d.\nAnswer: 3*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -40*d**2 - 42*d + 4. Let u(x) = 21*x**2 + 22*x - 2. Calculate -6*b(s) - 11*u(s).\nAnswer: 9*s**2 + 10*s - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -174, -345, -516, -687?\n\"Answer: -171*a - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5\/22, 6, -2, -1, 1, -1\/12843 in ascending order.\nAnswer: -2, -1, -5\/22, -1\/12843, 1, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -20136478258.00000915 + 20136478672. Let x = 414 - v. Round x to 6 decimal places.\nAnswer: 0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = 22*g + 7. Let w(l) = 23*l + 6. Let c(f) = 4*h(f) - 5*w(f). Is 14 a factor of c(-2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) be the third derivative of 2*s**2 + 0*s**3 + 0 + 1\/45*s**5 + 4\/945*s**7 + 0*s + 1\/60*s**6 + 1\/108*s**4. Factor l(v).\nAnswer: 2*v*(v + 1)**2*(4*v + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1331) + (sqrt(1331) - sqrt(1331)*-2*5) + sqrt(1331))**2 + -4 - (2*(sqrt(1331) + -2*sqrt(1331))*3)**2.\nAnswer: 177019","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 6297062987 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 74 - 69. Suppose -a - 7 + 23 = -4*w, -j*w = -4*a + 20. Solve 3*u = -4*y + 8, a*y + 2*y - u - 4 = 0 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 310, 65063 in increasing order.\nAnswer: 5, 310, 65063","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 492 + -983\/2. Which is the nearest to x? (a) -1\/5 (b) 0.3 (c) 2\/25 (d) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -841, -842, -843, -844, -845?\nAnswer: -846","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -126 + 1b3?\nAnswer: 8d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -17\/13, -30 in ascending order.\nAnswer: -30, -17\/13, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 203589?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 99\/316?\nAnswer: 99\/316","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -0.01 - 0.04622229712113\nAnswer: -0.05622229712113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Work out 206690584 + -0.8.\nAnswer: 206690583.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 7 - 7. Suppose j = -3*m + 1 + 2. Calculate the common denominator of -5\/7 and 206\/(-12) + m\/1.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1276597278 divided by 425532426?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 359 minutes after 5:57 AM?\nAnswer: 11:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 4905 divide 967908555?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ooopoopggoppp. What is prob of sequence og?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in -220, 0.3, 5, -18, -5?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 277 - 517. Let f = l - -236. Let w(m) = 1. Let x(o) = 3*o**2 + 2*o + 6. Determine f*w(y) + x(y).\nAnswer: 3*y**2 + 2*y + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 323, 646, 977, 1322, 1687?\n\"Answer: j**3 - 2*j**2 + 322*j + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2934864*b**2 + 4423097 wrt b.\nAnswer: -5869728*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) be the first derivative of o**2\/2 + 1. Let n = -1 - -3. Let b(f) = -4 + 3 + 1 + n*f. What is z(b(u))?\nAnswer: 2*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -1193538.95 to the nearest 1000.\nAnswer: -1194000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -11 + 0*r + 3*r + 9 - 7*r**2. Let m(l) = 3*l**2 - l + 1. Let z be (-2 - (0 - 0)) + 0. Calculate z*y(k) - 5*m(k).\nAnswer: -k**2 - k - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m = -5*i, -4*m = 13 + 3. Which is the nearest to 0.1? (a) -3\/4 (b) 0.29 (c) i (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) be the first derivative of -3*x**4\/28 - 5*x**3\/7 - 3*x**2\/2 - 9*x\/7 + 16. Let n(b) = 0. Calculate b.\nAnswer: -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (1\/25)\/(20\/575) and -51\/2.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-one halves of a meter in millimeters?\nAnswer: 15500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 228193 or 228195?\nAnswer: 228195","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 0.3*52\nAnswer: 15.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 14179 and 13904443.\nAnswer: 1289","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*v**2 - 36*v**2 + 2*v - 24*v**2 + 0*v.\nAnswer: -66*v**2 + 2*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a**(-5\/7)\/a**18 assuming a is positive.\nAnswer: a**(-131\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = 2*z. Let k(p) = -p**2 + 5*p - 3. Let a be k(5). Let j be t(a). What is the common denominator of -119\/6 and (-317)\/42 + (-2)\/j?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 40*b + 19*b - 82*b = -69 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -157.8954 + -31.0949. Let w = c - -189. Round w to three dps.\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -2*m**2. Let s(p) be the first derivative of -p**4\/6 + 2*p + 2. Let d(t) be the first derivative of s(t). Determine d(h(a)).\nAnswer: -8*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 36 + -35.85. Let i = -0.55 + n. Which is the nearest to 0? (a) -0.5 (b) i (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -1, 8, 38, -2 in decreasing order.\nAnswer: 38, 8, 4, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:07 AM and 1:49 PM?\nAnswer: 462","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1416 and 27912.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 112 - 113. List the prime factors of (-2*t\/(-2))\/(5\/(-1215)).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 102 is divided by 21?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 13 (base 4) in base 8?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.4 (b) 0.26 (c) -0.3 (d) 2.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1, 5.7, 33, 0.5, 0, 2.5, -0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.112204 and -0.3.\nAnswer: 0.0336612","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -40 - -9. Let v = y - -31.3. Put 2\/7, v, 0, 1.5 in ascending order.\nAnswer: 0, 2\/7, v, 1.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -33517471*f**3*t**2*y**2 - 4*f**3*t**2*y - 258*f**3*t - f*y + 13*t**2 wrt y.\nAnswer: -67034942*f**3*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -2*y**2 - 16*y - 19. Let z be b(-6). Suppose -r + 5*r = 3*i - 322, -z*i + 4*r + 526 = 0. What are the prime factors of i?\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -153 - 1?\nAnswer: -154","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pzbb when four letters picked without replacement from yzpbyb.\nAnswer: 1\/180","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 divided by 4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 818 - 570. Is t a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ztzz. What is prob of picking 3 z?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 4 - 5)*(-2*a**3 - 2*a + 2*a) - a**3 + 5 + 6*a**2 - 9 + 1.\nAnswer: 3*a**3 + 6*a**2 - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (-2*-1*sqrt(288) + 1*-2*sqrt(288) - (-2 + sqrt(288) + -1 + sqrt(288) + -4)**2)*-4.\nAnswer: -1344*sqrt(2) + 4802","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 = 5*c, -4*a - 5*c = -14 + 1. Let r be 1\/(-2)*(a + -1). Suppose r*b = -4 + 16. What is the lowest common multiple of 14 and b?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = 2*x**2 + 156*x + 268. What is s(-77)?\nAnswer: 114","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1409 - -4002. What is the units digit of u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 125 - 123. Which is the third smallest value? (a) 1 (b) s (c) 3\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-140)\/(-50)*(-10)\/1. Let t be (-64)\/420 + (-8)\/n. Which is the closest to 1? (a) t (b) -0.4 (c) -52\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = -4*f - 5, f = -4*z - 33645. What is z rounded to the nearest one thousand?\nAnswer: -8000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-5)\/((-25)\/2) + 22\/(-5). Let k be (-6)\/9 + 5\/3. Let p(d) = -5 - d - k - d. Calculate p(x).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 259 + -167. What are the prime factors of m?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 237 minutes after 12:24 AM?\nAnswer: 4:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -99, -210, -345, -516, -735, -1014, -1365, -1800?\nAnswer: -2331","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26*c - 30*c + 56 = 0. What is the lowest common multiple of 20 and c?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 207 minutes after 12:05 AM?\nAnswer: 3:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-2\/23))**(-14\/9)\/((z*(z\/z**(2\/75))\/z*z)\/z)**32 assuming z is positive.\nAnswer: z**(-160484\/5175)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10585 is divided by 2367.\nAnswer: 1117","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l**2 - 36714275*l = 0. Calculate l.\nAnswer: 0, 7342855","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -1222302 (base 5) to base 16\nAnswer: -5b9c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve j - b - 2 + 0 = 0, 5*b - 30 = -5*j for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -13 + 12.9. Put -1, z, -0.2 in increasing order.\nAnswer: -1, -0.2, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -9, 16, 0.038, -497, 2?\nAnswer: 16","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/4 of a millimeter in micrometers?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 40*i**4 + 3*i - 10*i**2 + 84 - 41*i**4 - 86 as d + k*i**4 + x*i + u*i**3 + h*i**2 and give d.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 34 + -31. Suppose -8 = -t*j - 2. Suppose 0 = -11*h + 13*h + j. Is h greater than 2\/27?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = 4*y - 1. Let m be (-4)\/(-6) - 128\/(-6). Suppose -d - 5 = -8. Let t(p) = -15*p - 5 + 9 - 3 + d. Determine m*s(i) + 6*t(i).\nAnswer: -2*i + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-12)\/30 + 77\/105.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-5)\/5)\/(((-8)\/(-18))\/(-1*28\/(-378)))?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 118 + -352. Let c = 139 + l. Find the common denominator of -3 + 6 + c\/6 and 41\/57.\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qwqe. Give prob of sequence we.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r = -4*t + 452, 2*t = 5*t + 5*r - 339. Let j = 568\/5 - t. Sort j, -5\/2, -0.4, -5 in decreasing order.\nAnswer: j, -0.4, -5\/2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 82883 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -456*k**2 + 918*k**2 - 2*k**3 + 0*k**3 - 462*k**2.\nAnswer: -2*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 464 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: Suppose 6*b + 12 = 12. What is n in -44*n + 7 + b + 1 - 8*n**2 - 16*n**2 = 0?\nAnswer: -2, 1\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/(77\/(-35) + 2)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 263.65564 and 5?\nAnswer: 1318.2782","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 44440 (b) -4 (c) -1 (d) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -227 + 228. Let f be (-3)\/(-2)*(0 + 2). Suppose -13 = f*w + 2. Put 4, w, i in increasing order.\nAnswer: w, i, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -25 - -10. Find the common denominator of 690\/(-16)*(-6)\/d and -103\/12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 914045?\nAnswer: 5, 11, 16619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of (56285\/(-5))\/(-2 + 8 + -7)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((5 - 1) + -7)*-27. What is the remainder when -1 + (c\/3)\/3 is divided by 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 15870\/(-133308) + (-15)\/70\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 201929 divided by -3.\nAnswer: -201929\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -23*k**2 - 3808*k + 13368. Give p(-169).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 20*0.07\nAnswer: 1.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does -275 = 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 249232 to the nearest integer?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 125 - 80. Find the common denominator of -2 + 3 + 125\/y and -62\/9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = w**3 - 9*w**2 + 9*w - 12. Suppose -535 = -13*s + 8*s. Let t = s + -99. Determine m(t).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 4*m + 24 = t, -2*t - 2*m + 30 = 0. Is 4 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 135.9399987282 + -135.94. What is g rounded to seven dps?\nAnswer: -0.0000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -7*n**3 + 6*n**2 + 7*n - 1. Let u(c) = -6*c**3 + 5*c**2 + 6*c - 1. Determine -5*k(d) + 6*u(d).\nAnswer: -d**3 + d - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 1, n: 3}. What is prob of sequence nnzn?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 88 + -159. Suppose -7*u = -10*u - 153. Let i = u - g. Is 8 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7919 - 7922 - k + 3*k)*(-5 + 0 + 1)*(3 - 2 + 1)*(2*k + 0 + 0).\nAnswer: -32*k**2 + 48*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*r + 5*c - 14 = 11, -9 = -r - 2*c for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*y + 4*y - 3*y + 4*y + 0*y - 5*y - 3*y - y + 2*y + (1 - 1 + 2*y)*(13 + 18 - 13))*(-y + 0*y + 3*y).\nAnswer: 62*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p + 78 = 66. Sort -35, 0, p, -4 in increasing order.\nAnswer: -35, -4, 0, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.0632 + 0.9368. What is the closest to r in 2, 2\/5, 0.1, -1?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y = 4*d - 496, -18*y = -2*d - 15*y + 233. Is 3 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/8 of a millimeter in micrometers?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 385854373 to the nearest integer?\nAnswer: 140","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) be the second derivative of 0 - 1\/12*j**4 - 3\/2*j**2 - 7\/6*j**3 - 2*j. Suppose 0 = 2*c + y + 26 - 10, 26 = -3*c - 2*y. Calculate q(c).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 210 - -10202210121121?\nAnswer: 10202210122101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -14387b (base 15) in base 14?\nAnswer: -1b4cd6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wb when two letters picked without replacement from {u: 5, b: 1, f: 3, a: 1, w: 3, r: 1}?\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 234373\/16 + -14653. Calculate the common denominator of 1\/732 and p.\nAnswer: 2928","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 350721207 to the power of 1\/2, to the nearest integer?\nAnswer: 18728","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = y**3 - 2*y**2 - y - 3. Let j be o(4). Suppose 73 = 2*x - j. Let v be x + 0 + -1 + -2. What is v rounded to the nearest 10?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 78838 from 81586.\nAnswer: 2748","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 56\/(-6)*((-205)\/35 - -5)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find o, given that 2*o**2\/3 + 24008*o\/3 + 72048008\/3 = 0.\nAnswer: -6002","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -306*h**4 + h**3 - 91*h**2.\nAnswer: -7344*h + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -1048*b + 7. Is z(-3) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve k + 5*z = -39, 2*k - 2 = 6*k - 2*z for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n**5 + 555*n**4 + 1825*n**3 - 13275*n**2 + 18880*n - 7980 = 0. Calculate n.\nAnswer: -7, 1, 2, 114","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (9 + -26 - -22 - (75 - 5 - -2)) + 11\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*i - 371 + 371 - 3*i.\nAnswer: -3*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 88.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4963 = 3*y - 2*t, 0 = -32*y + 29*y - 3*t + 4938. Calculate the greatest common divisor of y and 91.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l + t - 95 = 0, 0 = -l - 0*t - t + 46. Let r be 231\/l - (-2)\/7. Solve 5*s + 3*g = -13, 0 = 4*s + r*g - 8*g + 5 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 4 - 7. Let i be 2 + -3 - 158\/2. Let v be (-2)\/n - i\/15. Solve 2*j - v = 4*j for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) be the second derivative of -m**3\/6 - m. Suppose 0 = 4*y - 5*o - 31, -2*o - 15 - 3 = -3*y. Let j(q) = 0 + 0 + y*q**2. Give j(v(z)).\nAnswer: 4*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -n**2 + n - 1. Let u(t) = -3*t**2 - 3. Calculate 2*c(j) - u(j).\nAnswer: j**2 + 2*j + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(171) + 4*((sqrt(171) - 1*sqrt(171)) + sqrt(171) + sqrt(171)) + sqrt(171) + sqrt(171))\/(sqrt(9) + -2*sqrt(9)*1).\nAnswer: -11*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -a**2 - 7*a - 2. What is m(-2)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -36*x + 14*x - 110 = 0 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = 2*z**2 + z. Let p be a(-1). Let m(j) = -p + j - 5 - 2*j. Calculate m(-5).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -n**3 + 2*n - 1 - n + 4 + 3*n**2. Let p be x(3). Let a be (17 - 3)*(-36)\/(-21). Calculate the greatest common factor of p and a.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -164, -0.4, -1\/488, 3.5, -0.2?\nAnswer: -1\/488","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3\/(((-6)\/(-16))\/(7\/(-84))).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 625892, 625911, 625956, 626039, 626172, 626367?\n\"Answer: 2*b**3 + b**2 + 2*b + 625887","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*a**2 - 152 + 152 + 18*a**2.\nAnswer: 11*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(147)*1 + -1 + sqrt(36)\/(sqrt(432)*-4))**2.\nAnswer: -167*sqrt(3)\/12 + 28081\/192","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 0.3843*-4.36\nAnswer: -1.675548","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -5*y + 12. Let z = y + 2. Let q be 4\/(2*1) - 0. Sort z, q, 5.\nAnswer: q, z, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w = 3*k + 17, -5*k - 12 - 5 = -w. Let t(a) = 1089 - 8*a**3 - 3*a + 1162 - 3*a**2 - 2248. Let c(p) = -p**3 - p**2 - p + 1. What is w*t(v) - 6*c(v)?\nAnswer: -10*v**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.2376 or -4\/63?\nAnswer: -0.2376","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 1316611045 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -22 - -35. Let x = o + -11. What is the units digit of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -i**2 + 9*i + 4. Let h be m(9). Let w be (-116)\/(-10) - (-4)\/10. Suppose -o = -h*o + w. What is the units digit of o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = k**2 + 510*k. Let g(z) = -569*z. What is g(n(y))?\nAnswer: -569*y**2 - 290190*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3091610.\nAnswer: 2, 5, 101, 3061","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10c35 (base 15) to base 10.\nAnswer: -53375","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -r**3 - 23*r**2 + 110*r + 46. Calculate m(-27).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -50*o + 742 = 142 for o.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = b - 13. Let r be p(9). Let i(t) = t**2 + 9*t + 6. Determine i(r).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 10\/18 - 0 - 1. Let d = -48 + 44.9. Let r = d + 0.1. What is the closest to 1\/4 in i, r, 2?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -b**3 + 74*b**2 - 26*b - 370. Is m(49) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 446.276767 rounded to the nearest ten?\nAnswer: 450","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e and 3 h when four letters picked without replacement from {h: 6, s: 1, e: 3, i: 4}.\nAnswer: 60\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x = -6*x + 429. Let r(q) = 17*q**2 + 6*q - 5. Let i = -1 + -4. Let t be r(i). Calculate the highest common factor of x and t.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4b (base 16) in base 11?\nAnswer: -69","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:26 PM and 9:40 PM?\nAnswer: 14","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -10*t**5*y - 11*t**4*y**2 - 27*t**2*y - t**2 + 3*t*y**2 wrt t.\nAnswer: -600*t**2*y - 264*t*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z, 1 x, 1 l, and 1 k when four letters picked without replacement from {x: 4, k: 4, z: 1, b: 3, l: 4, c: 4}.\nAnswer: 64\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 112050287.\nAnswer: 29, 3863803","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 56 a factor of 114889?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 18107443 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -57 + 63. Suppose g + 31 = r. Suppose 0 = 2*h - 265 - r. Does 22 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 11 - -233 - 256 - ((4 - 2) + 0 - 80)?\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2\/4 - (-77)\/(-14). Let g = i - -23. Suppose -b = -g - 14. Is 16 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -32168*w**6 - 2*w**4 - w**2 + 21224*w - 2?\nAnswer: -3860160*w**3 - 48*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) be the second derivative of -c**3\/6 + 2*c**2 + 7*c. Let s be u(4). Suppose s = -7*d - 35. Sort 0, d, 16 in descending order.\nAnswer: 16, 0, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y = 5 - 25. Solve g + 12 = y*g for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) be the first derivative of l**6\/8 - 7*l**5\/20 + l**4\/8 + l**3\/2 - 5*l**2\/8 + l\/4 + 150. Factor i(u).\nAnswer: (u - 1)**3*(u + 1)*(3*u - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -27 + 72. Suppose -j + q = 3*v, -320 = -6*j + j + 4*v. Suppose -380 = -j*w + 55*w. What is the units digit of w?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-45 - (-15 + -25)) + -34 - (-23 - -1)\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.294618 millilitres in litres?\nAnswer: 0.004294618","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**(8\/3)\/(p*p*p**21) assuming p is positive.\nAnswer: p**(-61\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = 0*d**2 + 9*d**2 + d**3 + 0 + 2*d + 5. Is a(-8) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1448961?\nAnswer: 3, 17, 28411","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*x + 20 = 2*x, 5*p + 5*x - 130 = 0. What is the remainder when 119 is divided by p?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (32\/(11648\/(-42)))\/((48\/1024)\/(1\/4)).\nAnswer: -8\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = 2*y + 13. Let s(m) = m + 6. Let h(r) = -6*o(r) + 13*s(r). Let a be h(3). Find the first derivative of -3*i - 6 + a + 4*i + 2*i wrt i.\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (l - 2*l + 2*l)*(-2 + 5 - 2) + (-2 - 3 + 7)*(5*l + l + 2*l) - 4*l - 7*l + 4*l to the form m*l + f and give m.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = c**3 + 11*c**2 + 14*c - 3. Let f be q(-10). Let l = f - -59. Does 8 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.5, -2\/3, 1, 3\/5, 76\/489?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in -2\/5, -2, -2\/11, -11, 1?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 491 a multiple of 47?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 17\/((-85)\/(-50)) - -2. What is the highest common divisor of 66 and j?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -62*c. Let w(n) be the third derivative of 7*n**5\/30 + 70*n**2 - 2. Determine p(w(j)).\nAnswer: -868*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*d + 4*k + 94, 2*d + 4*k - 3 = -43. Let c be -15 - d - 32\/10. What is the nearest to -1 in -1, c, -2\/9?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = 4*b**3 - 4*b**2 - 3. Suppose 2*q = m + 6, 14 = -2*q + 4*q + m. Let f(c) = -4*c**3 + 5*c**2 + 4. Calculate q*s(v) + 4*f(v).\nAnswer: 4*v**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 43\/4509 and -17\/1002.\nAnswer: 9018","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 + 3 + i)*(68*i + 11*i**3 - 68*i) - 5*i**3 - i**4 - 6*i**4 + 4*i**3 to the form o*i**4 + a + b*i**3 + v*i**2 + l*i and give o.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5217?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5*y**2 - 5*y**2 + 4*y**2)*(-3 + 5 - 1) - 5*y**2 - 14 + 14 - y**2 + 5 - 5 + 3*y**2 + 2*y**2 - 4*y**2 to i*y + l*y**2 + z and give i.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -156 (base 16) to base 13\nAnswer: -204","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = y**2 + 8507*y - 367588. Calculate d(43).\nAnswer: 62","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/(-4)*-30*(-23)\/276.\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -4\/2566307?\nAnswer: -4\/2566307","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 448 divide 311466176?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -54.09 and -0.023035?\nAnswer: 54.066965","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-18 - -8 - 3) + 2 + -3 + 9?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) be the third derivative of -d**4\/24 - d**3\/3 + 2*d**2. Let s be u(-6). Suppose 0 = 2*l + 4*o - 10, 2*l - s = -o + 3. What is the units digit of l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 248.6 + -249. What is the third smallest value in 4\/5, t, -5?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 24 and 54512?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1430 and 1550.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 127060920, 127060923, 127060928, 127060935, 127060944, 127060955?\nAnswer: 127060968","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*i + 2*x - 11 - 11, i + 3*x = 12. Is (-12)\/8 - (i - 137\/2) a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 8, 0.4, -9, -61541 in descending order.\nAnswer: 8, 0.4, -9, -61541","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = 5*m - 2. Let x = -5 + 6. Let n be a(x). Solve 2 = -3*b - 4*q - 10, -q = -n*b + 3 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -4*j - 11. Let h(b) = 2*b + 6. Let r(a) = -11*h(a) - 6*v(a). Let m(n) = 2*n**2. What is m(r(y))?\nAnswer: 8*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 1508882750?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*l + 2*l - 3*l.\nAnswer: -l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = w**3 + 10*w**2 - 3*w - 27. Let f be b(-10). Suppose -f*r + 0*o + 10 = 4*o, -3*r = -4*o - 2. Solve -3*l = r*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 bigger than 1041.2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (-684)\/(-1140)*10\/(-339)?\nAnswer: -2\/113","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -9 (base 16) to base 11.\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -565192 divided by 565192?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*l + 245 + 139. Factor 47*m**3 - l*m**2 + 26*m**3 - 2 + 24*m + 91*m**3 - 36*m**3.\nAnswer: 2*(4*m - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19 + 17 - 49 + 13 - 824*a**2 + 1650*a**2 - 813*a**2.\nAnswer: 13*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 0.2, 5, -4, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 84067*p*q + 6*q - 656 wrt p.\nAnswer: 84067*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*g = 2*v + 6 + 8, -3*g + 12 = 0 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(352) + (sqrt(352) - -3*(sqrt(352) + (sqrt(352)*1 - sqrt(352)))))\/(-1*sqrt(176) - sqrt(44)).\nAnswer: -10*sqrt(2)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = 13*f**2. Let i(n) = 3*n**2. Give 4*g(r) - 18*i(r).\nAnswer: -2*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -55 (base 6) in base 7?\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-4)\/(-2) + -2 + 1. Sort d, -2, -3, -4 in increasing order.\nAnswer: -4, -3, -2, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8372 is divided by 262.\nAnswer: 250","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) be the first derivative of m**8\/112 + m**4\/8 + m**2\/2 - 2. Let l(d) be the second derivative of p(d). Find the second derivative of l(c) wrt c.\nAnswer: 60*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-nine halves of a litre in millilitres?\nAnswer: 14500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*z = 5*z + 6. Suppose 17 + 4 = z*l. Let p = l - 0. What is the units digit of p?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -b**3 + 7*b**2 - 6*b - 4. Let l(x) = x**3 - 4*x**2 + 5*x - 1. Let h be l(3). Suppose h*w - 3 = i + 2, -6 = -2*i + 2*w. What is z(i)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 18199 is divided by 41?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vdavvgvvvvgvvvvd. Give prob of picking 2 g.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -w**2 - 15*w - 54. Let m be b(-8). Let u(p) be the second derivative of 0*p**3 - p + 0 - 1\/72*p**4 + 1\/12*p**m. Solve u(c) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*sqrt(210)\/((sqrt(35) - sqrt(35)*-1)\/sqrt(5)))\/(-4*(-5*sqrt(54) - sqrt(42)\/(sqrt(14)\/sqrt(2)))).\nAnswer: sqrt(5)\/32","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -1 + (-7)\/((-14)\/(-592)). Let s = -3265\/11 - g. Let k = -0.1 - -0.1. Sort s, 3\/5, k in decreasing order.\nAnswer: 3\/5, s, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 times -1.09\nAnswer: 4.36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -757*y**3 + 1508*y**3 - 687*y**3.\nAnswer: 64*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -2*x - 2*x - 76 + 75. Calculate o(-1).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) be the second derivative of t**6\/135 - t**5\/30 + t**4\/27 + t. Factor l(m).\nAnswer: 2*m**2*(m - 2)*(m - 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1351*r = -1345*r - 30 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = 2*p. Let h(i) = -25*i**2 - 2*i - 24. What is h(d(x))?\nAnswer: -100*x**2 - 4*x - 24","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*s - 6*w + 4*w + 10, 4*s - w = 5. Suppose s*g - 2*j - 2 = 0, -2*g = -4*j - 1 - 5. Is g equal to 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1146*g*k**3 - 2*g*k - 2806*k**3 wrt g.\nAnswer: -1146*k**3 - 2*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -567293287.76 from -19.\nAnswer: 567293268.76","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:41 AM and 3:52 AM?\nAnswer: 11","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -1265*o**2. Let w(p) = 26*p. Determine w(x(l)).\nAnswer: -32890*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 1124845 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = 9*k + 83. Let q be p(-9). Suppose 2*n + 4*a = 22, -q*n = 2*a + 9 - 21. Let w = 389 + -2717\/7. Which is bigger: w or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (6\/70)\/((-1392)\/(-290)). Which is the second smallest value? (a) -13 (b) g (c) -6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 13*s**5*u + 2*s**5 - 47*s**3*u - 286*s**2 - 12*u - 3 wrt s.\nAnswer: 780*s**2*u + 120*s**2 - 282*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 161258430?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7\/2*259830\/(-20209).\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1605*c**2 + 1163 + 333*c - 1163 - 2*c**3 - 76*c wrt c.\nAnswer: -12*c - 3210","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 152*q - 149*q + 15 = 0 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-3)\/18 - 39\/(-18). Solve 4*y = 2*t + 12, -a*y - 14 = -6*y + 3*t for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 350173720.\nAnswer: 2, 5, 13, 673411","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 73 is divided by 21.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 253012 and 602?\nAnswer: 1771084","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1385 + 9648\/7. What is the common denominator of 101\/12 and t?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13.35865038 rounded to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3093 = -90*n - 20*n - 4413 for n.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = 3*c**2 + c. Let u be (12\/10)\/(2\/5). Suppose 3*z - 4*y + 3 = 6, -3*z + 24 = u*y. What is the remainder when z is divided by v(-1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4619 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 3.8 * -11\nAnswer: -41.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l and 2 b when three letters picked without replacement from {b: 8, f: 1, w: 1, l: 6}?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xle when three letters picked without replacement from {f: 1, m: 1, x: 2, e: 5, l: 3}.\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -2*j + 37. Suppose 2*l = 10, 6*l = -3*i + 4*l + 58. Let z be n(i). Solve 0 = 4*k - q + 13, k - 2*q - 13 = -z*q for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 58517256 is divided by 10?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -184*i**3 + i. Let t be u(-2). Let d be t\/24 + (-1)\/4. Let o = 7603 - 7541. Which is bigger: d or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*k + 677 = 2*g - k, 5*g - 3*k - 1770 = 0. What is the highest common factor of 13 and g?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 30\/7 + (-14)\/49. Put -5, m, -2\/3 in ascending order.\nAnswer: -5, -2\/3, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.5379 + -0.0279. Let l = 9.51 - y. Is l less than or equal to -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 309769 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 556 minutes before 9:07 PM?\nAnswer: 11:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2 - 2*v + 2 + (-v - 1 + 3*v + 0*v)*(0 + 4 + 2).\nAnswer: 10*v - 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by 16514.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 35492 and 18?\nAnswer: 319428","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 250666679 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 0.3*-2.7531\nAnswer: -0.82593","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.5 less than -91?\nAnswer: -92.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-39)\/(-12) - 1\/4. Suppose 2*g - m*g = -29. Solve 5*u = d - g + 6, -28 = 4*d + 4*u for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-j - 3*j + 2*j)*(-j + 5*j - 3*j) - 21*j**2 - 272*j**2 - 214*j**2.\nAnswer: -509*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 276179770 to the power of 1\/2, to the nearest integer?\nAnswer: 16619","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 750.8702 minutes to microseconds.\nAnswer: 45052212000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 3, n: 5, a: 1, q: 4, c: 1}. What is prob of sequence qat?\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(1*-2*sqrt(833) + sqrt(833)))**2 + ((sqrt(833) - (sqrt(833) + 2 + sqrt(833) + -4 - sqrt(833))) + -1*sqrt(833)*-1)**2 + 3.\nAnswer: 28*sqrt(17) + 21665","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.08 (b) -10.8 (c) -0.51\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = m**3 - 22*m**2 + 19*m + 39. Let r be z(21). Let f be r\/9 + (-10)\/(-12)*4. Is f bigger than 26\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q - 4*g - 375 = 0, -2*q + 4*g + 225 = q. What is the remainder when q is divided by 40?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12210\/407 + (-80)\/2?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -33 - -34. Let t(k) = -4*k**3 - k**2 + 3*k - 1. Let a be t(q). Put 1, a, 15 in decreasing order.\nAnswer: 15, 1, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-40)\/(-14)*6\/18*(-62)\/(-217)*42?\nAnswer: 80\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 830?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 170449?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*g - 3*g + 4*g + 7 - 3*g.\nAnswer: -6*g + 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1898250?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-10)\/(-155) - 2216\/(-248). Calculate the highest common divisor of f and 1029.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2724, 6851, 10978, 15105, 19232, 23359?\nAnswer: 27486","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 520*h**4 + 3*h - h**2 - 5*h**3 - 1024*h**4 + 510*h**4 to s*h**3 + d*h**4 + g*h + t + n*h**2 and give g.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 307*h - 332*h + 108475. Calculate the remainder when h is divided by 155.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 10111120210 + -2?\nAnswer: 10111120201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 + (-4 - (-6 + 3))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -11930849, -11930882, -11930915, -11930948, -11930981, -11931014?\n\"Answer: -33*c - 11930816","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of ((-2804)\/(-24)*3\/(-2))\/(4\/(-320))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -28 (b) -3\/20 (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -669.0644 + 971.0421. Let h = s + -302. Round h to three decimal places.\nAnswer: -0.022","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + 196 = 4*u, 7*u - 9*u = 5*d - 98. Suppose -u*a = -66*a + 20009. What is the units digit of a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*k = 2*p + 24, 5*k + 4*p = 2*p - 29 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (108\/(-135))\/(9\/(405\/66)).\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 170\/1580979?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.220015 + 0.22. Round k to 5 dps.\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-21)\/(-9)*(-3)\/2*-2. Let y(w) = 2*w - 4. What is y(a)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -1 + 4 + 4 + -5. What is the hundreds digit of n\/(2 - 0) + 234 + -2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 + g - 3)*(4*g - 2*g - 11790*g**2 + 12533*g**2) to d*g**3 + k*g**2 + n + p*g and give k.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2 - 12*g - 3 + 127*g**4 - 4 + 3 wrt g.\nAnswer: 1524*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1 + (sqrt(363) - ((sqrt(363) + -2*sqrt(363))*-5 - sqrt(363))))*-2)**2.\nAnswer: 264*sqrt(3) + 13072","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (0 - -1)\/(2\/8). Let k = -0.94 - -0.44. What is the nearest to 0 in p, k, 5?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*g - 9 = 5*r, 8 = g - 5*r + 5 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) be the first derivative of -o**6\/6 - 16*o**5\/5 + 71*o**4\/4 + 1730*o**3\/3 - 350*o**2 - 49000*o - 53. Factor q(w).\nAnswer: -(w - 7)**2*(w + 10)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2\/7, -2\/23, 0.4, 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 6 + (-18 - -7) - -5\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 64.453 - 12.243. Let w = j + -52. Let g = 1.29 - w. What is g rounded to 1 decimal place?\nAnswer: 1.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.5 * -120\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 5092 - 5092.3. Which is the closest to 2\/7? (a) -0.2 (b) -0.14 (c) l (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -125480 smaller than -125480?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*t = -2*t + 12. Let i(p) = -p**2 + 10*p + 2. Let q(a) = -2*a**2 + 10*a + 3. Let w(l) = t*i(l) - 5*q(l). What are the prime factors of w(4)?\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -3*a**2 - 20*a - 17. Let m be c(-11). Let f = 82 - m. Does 11 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1000120 (base 3) to base 5\nAnswer: -10434","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 41*a**3 - 981*a**2\/2 + 1458*a + 54.\nAnswer: (a - 6)**2*(82*a + 3)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -11 - -43\/4. What is the smallest value in -146, g, 0.2?\nAnswer: -146","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(5200)*-1 + 2 - sqrt(5200)) + sqrt(5200) - sqrt(5200) - (-2 + sqrt(5200) + -1 + sqrt(5200))) + 1)**2.\nAnswer: -960*sqrt(13) + 83236","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -18*x - 8. Let f be j(-6). Suppose -f = -7*v + 2*v. Solve 0 = 2*h - 6*h - v for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lilix. Give prob of sequence lx.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 291978*z - 291827*z + 2110 + 4534 = 0 for z.\nAnswer: -44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.7, -191, 2\/13, 5 in decreasing order.\nAnswer: 5, 2\/13, -0.7, -191","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t - 84 = 2*t. Suppose 6*f = 3*f - t. Is f <= -14?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2246.0687 - -2246. What is d rounded to three decimal places?\nAnswer: -0.069","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.88, -1\/4, 8\/7, 0.5, 61?\nAnswer: 8\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -17\/488 + 28757\/853512. Which is smaller: -1 or s?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10689*z - 6*z**3 + 10689*z.\nAnswer: -6*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s - 5 = 4. Solve 0*k = 3*k - s for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3470.87 millennia to years.\nAnswer: 3470870","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -116 + 126. Solve 15*n**2 + 3*n - 3*n**3 + 4*n**3 - l*n**2 - 9 = 0 for n.\nAnswer: -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1008, 2017, 3026, 4035, 5044, 6053?\nAnswer: 7062","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 16136, 16108, 16062, 15998?\nAnswer: 15916","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1446\/(-360) + 756\/45360. Suppose 3*g - g - 12 = 0. Suppose -l - 2*l = -2*j + g, -4*j = 3*l - 12. Put 1, a, j, -3 in descending order.\nAnswer: j, 1, -3, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 64\/24*54\/126. Let n = -716 + 5020\/7. Factor -2\/7*p**2 - n + f*p.\nAnswer: -2*(p - 2)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -25 - (-60 - -17) - 21.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -97\/1984 and 101\/2204512.\nAnswer: 136679744","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 196219 and 10516.\nAnswer: 239","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 408 minutes before 3:47 AM?\nAnswer: 8:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 44 a factor of 396?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 528493055.\nAnswer: 5, 105698611","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = 3*i**2 - 4*i + 3. Let l(u) be the third derivative of u**5\/15 - 5*u**4\/24 + 2*u**3\/3 + 4*u**2. Let j = -12 + 7. Calculate j*l(k) + 6*w(k).\nAnswer: -2*k**2 + k - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-u + 2*u + 3*u)*(-4*u**2 + 5*u**2 + u**2) + 3044*u + 3052*u + 11*u**3 - 14 - 6093*u.\nAnswer: 19*u**3 + 3*u - 14","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -36.98 - -3.38. Let o = 0.05 + 33.95. Let l = w + o. What is the fourth biggest value in l, 4, -2, 0.5?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -41 + 33. Let h be 0*(-2)\/b - 0. What is the closest to h in -1\/4, 2, -15?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = h**3 - 78*h**2 + 79*h - 147. Determine p(77).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 8, 12, 14, 8, -12, -52, -118, -216?\nAnswer: -352","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + (sqrt(252) + sqrt(252) + -1)*5)**2 - 5*-4*sqrt(84)\/(sqrt(48)\/sqrt(4)).\nAnswer: -1180*sqrt(7) + 25300","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -3*c - 4 + 3 + 2*c. Let i be w(-3). Let f be (4\/(-12))\/(i + -1). Which is bigger: 0.2 or f?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 4\/217 + 181\/1953. Which is smaller: h or 4?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 11421, -10, -2, 1 in increasing order.\nAnswer: -10, -2, 1, 11421","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = 2*n**3 + 4*n**2 + 3. Let k(g) = g**3 + 3*g**2 + 2. Let u(o) = 3*k(o) - 2*m(o). Let i be u(1). Which is the nearest to 2? (a) -0.3 (b) -1\/2 (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 87117984 to the power of 1\/2, to the nearest integer?\nAnswer: 9334","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = 633 - m - 633. Let s = 16 + -3. Let o(r) = 27*r**2 + 13*r - 13. Let b(y) = -13*y**2 - 6*y + 6. Let k(u) = s*b(u) + 6*o(u). What is k(l(n))?\nAnswer: -7*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-24)\/15)\/((-2)\/5). Suppose 0 = 3*k - 2081 + 209. Let v be b\/10 - k\/(-15). Calculate the highest common factor of 6 and v.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-5 - (-30)\/4)*48. What is the common denominator of ((-308)\/18)\/(h\/18) and 29\/2?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = o. Let y(q) = 4*q - 1. Let u(l) = -21*c(l) + 6*y(l). Let s be u(3). Let f = -26\/33 + 16\/11. What is the second biggest value in 0.05, f, s?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.1902 to two dps.\nAnswer: -0.19","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Do -2387 and -2388 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = 12*n**3 + n**2 + 9*n - 13. Suppose 8 = 2*y - 40. What is the lowest common multiple of y and a(2)?\nAnswer: 840","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3997409*u**5 + 84182924*u**2 wrt u?\nAnswer: -239844540*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-16)\/6 + (-17)\/51. Let r(n) = -n - 5. What is r(l)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m - 2 = 3, -b + 95 = 2*m. Let v(g) = 93 - 19*g - b. Let q(y) = 8*y. Give v(q(o)).\nAnswer: -152*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000190888 to six decimal places.\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 77 - -84. List the prime factors of k.\nAnswer: 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-13 + 19 - -16) + -13 + -12.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -691, -2930, -6661, -11884, -18599?\nAnswer: -26806","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 5, -11850 in descending order.\nAnswer: 5, -1, -11850","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -16495\/42 - -1184\/3. Let r = 3561 - 49823\/14. Calculate the common denominator of r and b.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = s**2 - 4*s + 5. Let v be n(4). Let a = v + 23. Let d = 36 - 21. What is the remainder when a is divided by d?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*a**3 + 86*a**2 - 782*a - 3174.\nAnswer: -2*(a - 23)**2*(a + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -1448 (base 10) to base 4\nAnswer: -112220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = 3*w**3 + 44*w**2 + 162*w + 35. Give s(-9).\nAnswer: -46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*o**2*t + 1377*o**2 - 31*o + 6*t - 1 wrt o?\nAnswer: 4*t + 2754","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = j**2 - 5*j + 3. Suppose 9 = 3*o - 6. Determine g(o).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 22, 42, 74, 124, 198, 302, 442, 624?\nAnswer: 854","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 15\/(-10)*(-16)\/6. Determine c so that 17*c**5 - 15*c**f - 12*c**5 - 10*c - c**4 - 36*c**3 - 7*c**5 - 32*c**2 = 0.\nAnswer: -5, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find j such that -4*j**5 + 4668*j**4 - 1354860*j**3 - 4106684*j**2 - 18720*j + 5475600 = 0.\nAnswer: -2, 1, 585","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t*t*t**(2\/9))\/t**(-4\/3))\/((t**21\/t)\/t**(8\/7)) assuming t is positive.\nAnswer: t**(-964\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -103\/174 and -163\/180?\nAnswer: 5220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (6\/(-4))\/(1 - (-201)\/(-198)). Find the common denominator of (-1)\/(-2) - i\/27 and -19\/4.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -5263 - -6022. Calculate the highest common factor of 138 and q.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1177.\nAnswer: 11, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -78 = 7*n + 426. Suppose t - 134 + 13 = 0. Let j = t + n. List the prime factors of j.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*z + 6 = -66. Suppose 0 = -b + z + 64. What is the units digit of b?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -8 in -15\/2, 0.3, -5, 1\/27, 0.4?\nAnswer: -15\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*u - 531 + 527 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -4 - -12 - (-7 + 13) - 3 - 9\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -32.1 times 0.5?\nAnswer: -16.05","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (52*n + 87 - 87)*(-4 + 2 + 1) + 0*n + 2*n - 4*n - 1.\nAnswer: -54*n - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:23 PM and 5:05 AM?\nAnswer: 582","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -t**3 - 5*t**2 + 160*t - 33. Give s(10).\nAnswer: 67","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.02 - -0.04. Let h = 3.06 - y. Which is the smallest value? (a) -5 (b) -3\/8 (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*t - 2*t + t)*(3 - 3 + 2*t**2) - t**3 + 2*t**3 + 0*t**3 + 2*t**3 - 6 + 6 + 3*t**2 + 2423*t - 2423*t - 4*t**3.\nAnswer: -3*t**3 + 3*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -k + 5 - k + 0*k - 2*k.\nAnswer: -4*k + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1755.20054125 - -1755.2. What is a rounded to five dps?\nAnswer: -0.00054","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 456.\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) be the third derivative of -c**4\/6 - 3*c**3\/2 - 7*c**2 - 147. Let a(o) = -8*o - 17. What is -6*a(q) + 11*u(q)?\nAnswer: 4*q + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 12012763 to the nearest integer?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*w + 4*m - 207 + 59, 0 = -4*w - 2*m + 194. Let b = -18 + w. What is b rounded to the nearest ten?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 376 + -363. Calculate the highest common divisor of g and 559.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in -325, 0.12, 5, 0.2, 18\/11?\nAnswer: 18\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*y**2 - 2 + 4*y**2 - 9*y**2 - 2*y to the form m*y**2 + d + q*y and give d.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -28*n**2 - 4*n + 4. Let y(f) = -f**2 + f - 1. What is -v(w) - 4*y(w)?\nAnswer: 32*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-169)\/65 - -3)*(-4)\/(504\/225).\nAnswer: -5\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-10)\/2*(-91)\/351 and 67\/15.\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*b = -4*h - 18, -64750*b = -h - 64744*b + 80 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -g + 4*n - 2*n + 3, -3*n = -g + 2. Let a(t) = -2 - 2 + g*t + 4 - 5*t**3 - 5. Let u(q) = -4*q**3 + 4*q - 4. Calculate -3*a(l) + 4*u(l).\nAnswer: -l**3 + l - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 41 a factor of 6875?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 42930, 85858, 128786, 171714?\n\"Answer: 42928*o + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) be the third derivative of j**6\/360 + j**5\/8 - j**4\/8 - j**2. Let t(s) be the second derivative of d(s). Is t(11) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 8, -2, 0.06?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 266592449 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 447873?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*l - 16 = -9*r - 9*r + 16*r, -23*r + 278 = l for r.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 8 and 216?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.5 and 300200721723971.\nAnswer: 300200721723970.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d\/(d\/(d*d*d**(1\/4)\/d)))**(-2\/29)\/(d\/((d*d**0*d*d)\/d*d))**(-1\/46))**(-7\/3) assuming d is positive.\nAnswer: d**(1211\/4002)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 62316 divided by 136\nAnswer: 15579\/34","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d - 2 = 8. Solve 4 = -c + d*u, 0 = -2*c - 4*u - 0*u - 8 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -163*a + 56*a - 61*a + 1008 for a.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -958098*r**5 - 2 + 3 + r + 958138*r**5 + 3*r**2 + r**5 - 3*r**2 - 2*r**5 - r**3 + r**3 + (2*r - 3*r**2 - 2*r)*(4*r**3 - 2*r**3 + 0*r**3).\nAnswer: 33*r**5 + r + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -73*l = -78*l + 20. Suppose 61 = -2*r + 4*p + 117, p + 140 = l*r. What is the remainder when 245 is divided by r?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 11289?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3056 is divided by 265?\nAnswer: 141","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = 3*s - 6. Let c(u) = -u + 1. Suppose m + 2 = 4*r + 7, -5*r - 5*m = 0. Let t(w) = r*l(w) - 6*c(w). Let o(f) = 21*f**2. Determine o(t(y)).\nAnswer: 189*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-12 + -4)*15\/(-9)*54\/270?\nAnswer: 16\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -x - 9. Let a(r) = -r - 4. Let i(h) = -5*a(h) + 2*f(h). Let z be i(-2). Let o(p) = -2*p + 2. List the prime factors of o(z).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -3, 90 in descending order.\nAnswer: 90, 5, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2321324607 and 21?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 1, d: 2, a: 1, g: 1, t: 1, w: 2}. Give prob of sequence ai.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 171 at most 173?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -934576 (base 10) to base 13\nAnswer: -269506","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 132580.\nAnswer: 2, 5, 7, 947","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0 - -1. Let g = -95 + 667\/7. Is d less than or equal to g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-320)\/498 + 98\/(-1470)*10*-1\nAnswer: 2\/83","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 45*39\/(57720\/74)?\nAnswer: 9\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/(-2)*9*(-4556)\/1206.\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:26 PM and 1:10 AM?\nAnswer: 344","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:13 AM and 5:08 AM?\nAnswer: 175","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) be the first derivative of 69 - 5\/4*b**4 + 0*b**2 - 8*b + 0*b**3. Differentiate i(o) wrt o.\nAnswer: -15*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -1129*x**2 + 187*x**2 - 941*x**2 - x**3 as c*x**3 + r*x + i + s*x**2 and give s.\nAnswer: -1883","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3227 and 5516.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w + 10*w = 44. Suppose r = -w*r. Suppose -2*o + 4*o - 20 = r. List the prime factors of o.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = 2*q**3 - 15*q**2 - 8*q + 21. Determine l(8).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) be the first derivative of 17*t**5\/5 - 18*t**2 + 58. Find the second derivative of y(i) wrt i.\nAnswer: 204*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 155 - 119. Does 4 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*c*v**3*y + 9*c*v*y + 7*c*v + 2517*v**3 - 24*v**2*y - 2*y with respect to y.\nAnswer: 2*c*v**3 + 9*c*v - 24*v**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 2, j: 6, t: 11}. What is prob of sequence yty?\nAnswer: 11\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w + 340 = -0*w. Is w\/(-6) + (-4)\/12 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 8*w**4 + 221*w**3 - 5*w - 372 wrt w.\nAnswer: 96*w**2 + 1326*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4\/11? (a) -3 (b) -1\/6 (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence css when three letters picked without replacement from cvccsvvcvnvvscs?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/7, -1, -333.65, -116 in decreasing order.\nAnswer: 3\/7, -1, -116, -333.65","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -54*r - 272 + 272 + 12*r.\nAnswer: -42*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 r when three letters picked without replacement from {r: 3, o: 1}.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -5*l. Suppose 2*q = -2*q + 36. Let m(b) = -1 - 8 + b + q. Determine h(m(x)).\nAnswer: -5*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -1074978377 divided by -1\nAnswer: 1074978377","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lvzv when four letters picked without replacement from {l: 4, z: 10, v: 5}?\nAnswer: 25\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = 3*y**2 - 2*y - 1. Let a(h) = 160*h**2 + 14*h + 14. What is -a(u) - 6*v(u)?\nAnswer: -178*u**2 - 2*u - 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-16)\/(-5))\/(((-2)\/(-9))\/((-1130)\/1017))?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = 191983*p + 2. Let t(z) = -5*z. Give t(x(u)).\nAnswer: -959915*u - 10","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -3 + 5 - 2 - 27*l - 1. Suppose -4*j - 2*q = -0*j - 2, q - 7 = 4*j. List the prime factors of b(j).\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ttfttttftff. What is prob of picking 4 t?\nAnswer: 7\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 161224 is divided by 223?\nAnswer: 218","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:52 PM and 6:02 PM?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 20416 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence soo when three letters picked without replacement from {r: 2, s: 2, p: 1, t: 1, o: 2}.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2\/(-6) + ((-2)\/20 - 10483824\/(-1440)).\nAnswer: 2, 5, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.55342 - 0.95342. Let r = -6 + 2. Suppose 5*f - 5*p + 2*p = 16, -4*p = -2*f - 2. Which is the closest to 2? (a) w (b) f (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 853172573 a multiple of 33?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 981 or -20064?\nAnswer: -20064","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3\/4 in 0.3, -30, 0.1?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**(-5)*n\/n**(-6))**(-2\/43))**(9\/7) assuming n is positive.\nAnswer: n**(-36\/301)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-16)\/(-36)*(-36)\/(-8). Solve -5*y + 4*c + 3 = z, -5*y - 3*c - 27 = 0 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*x - 6*x**3 - 3*x + 3*x**3 - 2*x.\nAnswer: -3*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.5 (b) -2 (c) 350\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) be the first derivative of -13*m**3 + 64 + 11 + 63*m**3 + 124 - 221*m - 139*m**3. What is the first derivative of w(s) wrt s?\nAnswer: -534*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 = 7*v - 221. What is the lowest common multiple of 42 and v?\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*f = f + 240. Let a(v) = -26*v - 12 - 6*v**3 - v - f*v**2 - 33*v. Let k(g) = -g**3 + g**2 + g - 1. Let q(p) = -a(p) - 4*k(p). Factor q(r).\nAnswer: 2*(r + 2)**2*(5*r + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 304 = 532*g - 380*g for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -99 + -32 + 125 - 36?\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 3, n: 9}. Give prob of sequence ngg.\nAnswer: 9\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1300 and 7150.\nAnswer: 14300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -262458.57 rounded to the nearest 1000?\nAnswer: -262000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 17, l: 1}. What is prob of sequence fl?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -h**3 - 4*h**2 - 7*h - 6. Let y = 83 + -85. Let u be q(y). Solve 5*x - 15 = u, 2*x + 0 - 9 = -i for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 13034 + -13565.92. Let b = r + 547. Let l = -0.12 - b. Round l to the nearest integer.\nAnswer: -15","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 548418 and 23634?\nAnswer: 166170654","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 2c19c (base 15) to base 12\nAnswer: 6a2b6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 3\/79 < 1\/6147?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1532*s**3*v**4 + 2*s**3*v**2 + 11300*s**3*v + 5*s**2*v**4 - s*v**2 - s*v wrt v.\nAnswer: 36768*s**3*v + 120*s**2*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g*g**(-1\/4)*g*g*g**(-1\/3))\/(g**(1\/8)\/(g**(1\/4)\/g)))\/(g*g*g**(-2\/5)*g*g**(2\/9)*g*(g*g*g**(-5))\/(g*(g\/g**(-2\/27))\/g)) assuming g is positive.\nAnswer: g**(1937\/1080)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.185 + -9.815. Sort 2, -1\/3, g in decreasing order.\nAnswer: 2, -1\/3, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3163 is divided by 201?\nAnswer: 148","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (0 + 0)*((-6)\/(-9))\/(16\/(-12)). Solve 8*y + 399 - 367 = z for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 30 - 29. Let o be i + (-16)\/(-2 + -2). Put o, 3, -1\/10 in increasing order.\nAnswer: -1\/10, 3, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*i + 4*o + 3855 - 184, -1227 = -i + 2*o. Suppose 4*k = -5*l + 2339 + 2529, -2*l - i = -k. Is k composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or -2\/139?\nAnswer: -2\/139","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-730)\/146*(-1*25 - 0). What is the greatest common factor of 10 and w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 54.03203 millennia in decades?\nAnswer: 5403.203","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from owpprfr. Give prob of sequence rpwr.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 77 and 10472.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 22*x - 25*x**2 - 56*x + 18*x + 16*x.\nAnswer: -25*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 5 * 32\nAnswer: 160","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) be the first derivative of m**5\/5 + 2*m**3 + 4. What is the third derivative of n(b) wrt b?\nAnswer: 24*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -3*j - 1. Let y be o(-1). Suppose -3*i = -2*s + 41, 2*s - 54 = -s + 3*i. Let w = -7 + s. Solve 4 = -m - n, w = -y*m - 3*n - 1 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -t**2 + t + 2. Suppose -17 = 2*h + 35. Let p = -31 + h. Let k = p + 59. Calculate z(k).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2425101751.\nAnswer: 2425101751","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 divided by -115?\nAnswer: 2\/115","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 18.6 + 6.4. Let j = 23 - q. What is the closest to -2 in 0, -3, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -18 + 13 + -4 + (9 - (6 + 3 + 21)).\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4 + 2 - 4)*(-7*p - p - 11*p)*(-2*p - 1 + 1) to w*p + g*p**2 + d and give g.\nAnswer: 76","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = 3*n**3 + 2*n**2 + 3*n + 7. What is y(-2)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express -100*d**2 + 123 - d + 113 - 25*d**2 - 253 in the form s*d + c + o*d**2 and give s.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -121 + 140. Let p = a - -145. List the prime factors of p.\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-3)\/(-2)*30\/9. Let p = 10 - z. Suppose 1 = -3*y - 2*u, 7*y - 2*y + 3*u + 1 = 0. Solve c - x + y = p, 0 = -c - x - 4 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2029 - -3001. Suppose 5*z + 2 = y. Is z composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = 4*t**3 + 754*t**2 + 46123*t + 953322. Let p(m) = -6*m**3 - 1132*m**2 - 69184*m - 1429984. Let z(k) = 8*i(k) + 5*p(k). Factor z(a).\nAnswer: 2*(a + 62)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -74*d**3 - 4883*d**2 + 69*d + 227. Calculate m(-66).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q = -5*w - 20, -9*w - 4 = -7*w. Suppose 175*n + 464*n**2 + 46*n + 0*n**4 + 355*n + 2*n**q + 172*n**3 + 30*n**4 + 256 = 0. What is n?\nAnswer: -4, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8797.\nAnswer: 19, 463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*n + 2 - 20*n - 23*n - 2.\nAnswer: -47*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-5)\/3)\/(-5)*6. Suppose 690004 = 5*t - b*n, -4*t = -2*n - 344895 - 207109. What is t rounded to the nearest ten thousand?\nAnswer: 140000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-5792)\/(-2896))\/((-242)\/2).\nAnswer: -2\/121","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -2*d - 5. Let h(v) = -v**3 + 2*v**2 + 1. Let z be h(2). Suppose -m - z = 4. Calculate the remainder when r(m) is divided by 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-7)\/((-315)\/(-1725))*((-8)\/20)\/(-2).\nAnswer: -23\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2\/3 or 3692?\nAnswer: 3692","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*f**2 + 5*f**2 + 0*f**2 + (f - 2*f + 2*f)*(-1 + 2*f + 1) + 0*f**2 - f**2 + 0*f**2 + 2*f + f**2 - 2*f to l + i*f**2 + m*f and give l.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) be the first derivative of 9\/2*b**2 + 0*b**3 + 0*b - 3 + 6\/5*b**5 + 0*b**4. Find the second derivative of h(f) wrt f.\nAnswer: 72*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 365 - 363. Let k(s) = 3 + 12*s + 0*s**2 - 13*s + s**2 - 5*s**p - s**3. What is k(-4)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 783*j**2 - 10*j**3 - 785*j**2 - 166*j**3.\nAnswer: -176*j**3 - 2*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is b + 374902?\nAnswer: 374910","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1140 and 304.\nAnswer: 4560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -59\/73848 and 20\/21177.\nAnswer: 2880072","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.2, -0.18, 1\/88.\nAnswer: -0.2, -0.18, 1\/88","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = 21*h**2 - 5*h - 45. Let k(y) = 31*y**2 - 8*y - 72. Let c(v) = -5*k(v) + 8*p(v). Let n(q) = 244*q**2. Give c(n(s)).\nAnswer: 773968*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) -3 (b) -336\/289 (c) -0.3 (d) -28\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = 2*h**2 - 4*h - 105. What is t(9)?\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 27 - 15. Suppose 4*q = -0*q + z. Sort 5, 4, q in increasing order.\nAnswer: q, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 1, e: 5, l: 3, u: 7}. What is prob of picking 2 u?\nAnswer: 7\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i - i - d = -23, 2*i - d = 12. Calculate the lowest common multiple of (-4)\/14 - 290\/(-35) and (-1)\/i + 30\/14.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3405.509 millennia to decades.\nAnswer: 340550.9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2034916, 4069833, 6104750, 8139667, 10174584?\nAnswer: 12209501","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = 9*h + 50. What is the remainder when j(0) is divided by 13?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 365 - -380. Is s composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -5 (b) -2908 (c) -5.9 (d) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -353355 (base 7) to base 9\nAnswer: -106263","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 divided by -56?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 89817589 and 251.\nAnswer: 251","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xxzzxzzzzzz. Give prob of picking 2 x and 2 z.\nAnswer: 14\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) be the third derivative of 0*b**3 + 0*b + 1\/60*b**5 + 24*b**2 + 0*b**4 + 0. Let f(v) = 24*v. Calculate f(s(i)).\nAnswer: 24*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n + 7 = -x, 5*x + 0 = -5. Let j be ((-1)\/n)\/((-6)\/(-54)). Solve 3*d = -j - 0 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -107, -204, -301, -398, -495?\n\"Answer: -97*x - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.025 less than -143965.6?\nAnswer: -143964.575","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 24151531.\nAnswer: 24151531","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*1*sqrt(24)*-2)\/(sqrt(1152)*-2*-2))**2*6.\nAnswer: 9\/32","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2.13 + 1.13. Which is the closest to r? (a) 22\/7 (b) 2 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 67818?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -396, -2028, -4748, -8556, -13452, -19436, -26508?\n\"Answer: -544*j**2 + 148","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 = 6*x - 17. Let i = -829 - -719.8. Let u = i + 109. Which is the third biggest value? (a) x (b) 2\/7 (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-12)*t)\/(((t*t*t\/t**3)\/t)\/t) assuming t is positive.\nAnswer: t**(-9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 23143 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-724)\/43078*-28)\/(2\/68).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 39 + -333. Let u = -210 - h. Is u a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 142\/7 + (-52)\/(-14) + -4 and 130.\nAnswer: 260","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) be the second derivative of 1\/21*u**7 + 0 + 0*u**5 + 98*u + 11\/3*u**3 + 0*u**2 - 1\/12*u**4 + 0*u**6. Find the second derivative of t(c) wrt c.\nAnswer: 40*c**3 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1.3 or -4?\nAnswer: 1.3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert -235322 (base 13) to base 12.\nAnswer: -345ba5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*d - 5*k + 5 + 24 = 0, 2*k - 14 = 4*d for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -11 - -103330?\nAnswer: 103313","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -8*j**2. Let d(z) = -2*z + 14 + 2*z + z + 58 + 31. Give d(h(l)).\nAnswer: -8*l**2 + 103","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2, -0.3, -4\/9, 0.3, 25, -8?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i + 20 = -3*j, 5*j + 0*j - 2*i - 10 = 0. Suppose j = l - 3*l - 42. Let q = -3 - l. What is the units digit of q?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -eb287 (base 15) to base 3\nAnswer: -1101220221101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 19.49 and -26540.\nAnswer: -517264.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -10.90955125 rounded to zero decimal places?\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -59*r - 56*r + 231*r - 55*r - 47*r.\nAnswer: 14*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = 2*x + 8. Let m = -7 + 4. Let c be l(m). Suppose c*d + 4 = 18. Solve 5*g - 3*g - 22 = 5*i, i = 3*g - d for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 601 (b) -6 (c) 0 (d) -3.62\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -18.65 * 0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide 22305 by 3.\nAnswer: 7435","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 653 is divided by 93?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 42 = -104*v + 106*v. Let d be (-3)\/((v\/26)\/(-7)). What are the prime factors of 1336\/120 + (-1 - d\/(-30))?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 147, 269, 379, 471, 539, 577, 579?\nAnswer: 539","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 7324 - 73351\/10. What is the common denominator of d and 85\/2?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1.4 - 2.6. Which is the second biggest value? (a) h (b) -1 (c) -1.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -27*n + 4. Let v be t(-4). Let w = 7 + -24. Let l(k) = k**3 + 18*k**2 + 17*k + 16. Let u be l(w). What is the highest common divisor of u and v?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*i + 16, -5*u - 3*i = -34 + 7 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -33389*f - 10. Let x be d(-5). Suppose 5*i + s = -2*s - 524678, 4*i + 2*s = -419742. Let o = x + i. Round o to the nearest 10000.\nAnswer: 60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -10*l**2 - 142*l - 190. Let n = 12 + -1. Calculate the remainder when v(-12) is divided by n.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -l + 2. Let r(n) = 2*n**2 + 7*n + 6. Let k(x) = r(x) - 2*z(x). Let d(t) = 2*t**2 + 8*t + 2. Determine -5*d(o) + 4*k(o).\nAnswer: -2*o**2 - 4*o - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -219, -833, -1855, -3285, -5123, -7369, -10023?\nAnswer: -13085","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = w**3 + 7*w**2 - 25*w + 17. Let u be j(-8). Suppose -u = -6*s - 39. Is 2 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = u**3 - u**2 - u + 1. Let r(q) = -q**3 - q**2 + 48*q + 1. Determine -r(w) + t(w).\nAnswer: 2*w**3 - 49*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.9 - -0.1. Let d be 3\/((-3)\/(-2)*(-2)\/(-3)). Which is the third smallest value? (a) 0 (b) i (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -81*j**3\/7 + 2385*j**2\/7 - 1048*j\/7 + 116\/7.\nAnswer: -(j - 29)*(9*j - 2)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -864 divided by 6\nAnswer: -144","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-20)\/((-1400)\/(-98)))\/((-2)\/10)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 435 is divided by 12.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -1054*s + 34. Let f(p) = -34*p + 1. Calculate 187*f(o) - 6*k(o).\nAnswer: -34*o - 17","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2 + 2. Let r(o) = -8*o - 6. Let q be r(-7). Let i be (2\/(-36))\/(q\/(-20)). Is u less than i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = 0 + 21*f**2 - 3 - 3*f + 15*f**2 - 32*f**2. List the prime factors of c(-3).\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4*1.9147\nAnswer: -7.6588","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5444151.\nAnswer: 3, 47, 38611","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a - 8*a + 40 = 4*z, z - 3*a = -10. Suppose -3*l - 40 = -2*r - 0*l, z*l = -20. Calculate the smallest common multiple of r and 18.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*f + 20 = -9*f. Suppose -l + 13 = 3*g - g, -f*g = -4*l - 39. Which is the nearest to 0? (a) -0.4 (b) g (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2 - -1.9. Let d = 6 + -9. Let w = -2.8 - d. Sort 0, u, w in decreasing order.\nAnswer: w, 0, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 136 - 137.47. What is d rounded to one dp?\nAnswer: -1.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2625\/(-350)*2\/(-12)*(-4)\/3?\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = k**2 - 9*k - 55. Determine m(12).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -4*b**4 - 14392*b**3 + b + 185821 with respect to b.\nAnswer: -16*b**3 - 43176*b**2 + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 98 and 130046?\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.5, 8, 0.3, -1\/4184 in descending order.\nAnswer: 8, 0.5, 0.3, -1\/4184","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -0.3, 0.2, -24, 468, 0.3 in decreasing order.\nAnswer: 468, 0.3, 0.2, -0.3, -4, -24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -3a2 (base 14) to base 12\nAnswer: -50a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i = 4*p - 6*i - 11, -p + 2*i = 1. Find the second derivative of 560*s**p - 637*s**5 + 23*s + 7*s wrt s.\nAnswer: -1540*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1303+-1801.25786\nAnswer: -3104.25786","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -618 + 620. Solve -x*d - 28 + 20 = 0 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2\/9*n**5 + 24 + 208\/9*n + 58\/9*n**4 - 34\/3*n**3 - 170\/9*n**2 = 0. What is n?\nAnswer: -1, 2, 27","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -2*(-10)\/((-5)\/(-1)). Let c(z) = -2*z**3 - 5*z**2 - 7*z - 10. Let q be c(-4). What is the units digit of (-210)\/(-45)*q\/i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 4 - -19bb?\nAnswer: 19bf","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 179 - 249.3. Let c = t + 3.3. Which is greater: c or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 + 2 - 5)*((-2*c + 6*c - 3*c)*(0 + 1 + 1) - c + 4*c - c)*(9*c - 9*c - 14*c**3) to the form b*c + q*c**4 + i*c**3 + k*c**2 + s and give k.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 43*l + 129 = 253 + 650. Calculate the least common multiple of l and 377.\nAnswer: 6786","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6.9 + -1506220226731.\nAnswer: -1506220226737.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y + 2*m + 134 = -172, y + 165 = 5*m. Let b = y + 236. 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 b(m) = -17*m**2 + 21*m + 7. Let w(v) = 10*v**2 - 10*v - 4. Let u(i) = 3*b(i) + 7*w(i). Let d(g) = 6*g**2 - 2*g - 2. Determine 14*d(c) - 4*u(c).\nAnswer: 8*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2 and 58?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -108 + 156. Suppose 2877 = -k*t + 55*t. What is the units digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh smallest value in -2, 4, 2, 3, 17, 19, 4.94?\nAnswer: 19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 350667040 to the nearest integer?\nAnswer: 705","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f + 1 = -3*l, 0 = 4*f - 296*l + 294*l - 2. Let g(h) = -8*h**2 - 3*h + 2. What is g(f)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -41 + 40.999996. Round h to five dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 less than or equal to -49?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is (-5748)\/(-9)*18\/12 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1 + 21\/(9\/(-3)). Calculate the remainder when ((-8)\/3 + 0)*-6 is divided by j*2*9\/(-12).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -10*u**3 + 651*u**2 - 27*u + 8. Let d(g) = -g**3 - 3*g + 1. Determine -18*d(c) + 2*r(c).\nAnswer: -2*c**3 + 1302*c**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -118*n**2. Let d(i) = -16*i**2. Calculate d(c(m)).\nAnswer: -222784*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 770, 778, 784, 788, 790, 790?\n\"Answer: -w**2 + 11*w + 760","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*g**3 + g**3 + g**3 + (-3*g + 4*g + g)*(-2*g**2 + g**2 + 3*g**2) + 0*g + g**3 + 0*g)*(1112*g**2 - 24 + 20 - 1047*g**2).\nAnswer: 130*g**5 - 8*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) be the third derivative of -13*l**7\/30 + 50*l**3\/3 - 26*l**2 - 1. What is the derivative of u(x) wrt x?\nAnswer: -364*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14634993\/764*(-16)\/(-6) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 84649111 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 771528?\nAnswer: 2, 3, 17, 31, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 408 is divided by 138?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r - 257*c = -253*c + 284, -r + 2*c - 162 = 0. Suppose 0 = -2*f - 3*l - 295, 0 = -3*f + f + 3*l - 313. Are r and f nonequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 578, 1427, 2732, 4721, 7622, 11663, 17072, 24077?\n\"Answer: 38*l**3 + 583*l - 43","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 342 minutes before 10:15 PM?\nAnswer: 4:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.2531 and -3.\nAnswer: -3.2531","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 138 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 318*d = 307*d + 11. Let x = -0.1 + -0.1. Let h = -0.1 - x. What is the closest to -4\/7 in h, 2\/15, d?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -109139 and -0.082.\nAnswer: -109139.082","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Add -15 and 19267.7.\nAnswer: 19252.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*i + 33024 = -244*i - 97*i - 984 for i.\nAnswer: -104","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r + 8*r = 121356. Is r prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*m + 1 - 1)*(-2*m**2 - 2*m**2 + m**2)*(2*m + 0 + 0) - 2*m**4 + 0*m**3 + 0*m**3 - m**4 + 0 + 0 + (-2*m - 2*m + 3*m)*(-3 + 3 + m**3).\nAnswer: -28*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2010345411?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 123122773 to the nearest integer?\nAnswer: 11096","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*p**3 + 10*p**3 - 68*p**3.\nAnswer: -68*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 27 - 22?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert -95 (base 16) to base 3.\nAnswer: -12112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -34 - -109. Is 14 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -467663 (base 8) in base 2?\nAnswer: -100110111110110011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*m = 2*m - 399. Let h = 153 + m. What is the greatest common divisor of 6 and h?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2999 - -3022) + -3 + 61?\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 = 2*f + 5*h, -f + 2*f - 20 = -4*h. Let m be 0 + f - (-24)\/6. Suppose -m*i + 9 = 1. Which is the second biggest value? (a) 0.2 (b) -0.5 (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 468\/90 - (-3)\/(-15). Let i(m) be the first derivative of -m**4\/4 + 4*m**3\/3 + 5*m**2\/2 + 11*m - 3. What is the remainder when 96 is divided by i(n)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = 46*u**2 + 12*u + 51. Is o(-8) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-u - 2 + 2)*(17 - 17 + 16*u) + (3 - 3 - u)*(3*u - 2*u + 0*u).\nAnswer: -17*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 3\/(-195)*(-98)\/2. Let f = y - -3\/65. Which is smaller: 0 or f?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 - (5 - (4 + (5 - 11 - 0))).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = m**3 - m + 13. Suppose -7 - 8 = -k. Let r be (-10)\/k + (-2)\/(-3). What are the prime factors of x(r)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l*(l\/l**(1\/4))\/l)\/(l*l*l**10*l*l))\/(l**12\/l**(-7)) assuming l is positive.\nAnswer: l**(-129\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 193358557 to the power of 1\/5, to the nearest integer?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d + 0 = 5. Let a be 38*((-4)\/(-8) + d). Let i = 110 + a. Calculate the highest common factor of i and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -5a - 747?\nAnswer: -7a4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -5 - (-7 - -7)\/(-2 - -1). Let v(n) be the first derivative of n**2 - 5*n + 1. Let d be v(4). Put -3, 5, r, d in descending order.\nAnswer: 5, d, -3, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -3*o + 47. Let r be w(20). Let h = r - -18. Solve -h*t + 0*t - 25 = 0 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -6*a - 44. Let d be c(-9). Suppose d*o + 14*o - 120 = 0. Solve -o*t = 4*h + 27, 5*h + 0 = -3*t - 24 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1757301 (base 8) to base 3\nAnswer: -222012111212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.444 + -0.344. Let k be (3\/(-2))\/((-2)\/380). Let q be ((-6)\/k)\/((-3)\/15). Sort n, 3\/5, q in decreasing order.\nAnswer: 3\/5, q, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -51 + 282. Suppose -3*s + o = -27. What is the greatest common divisor of 301 and s?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.04 + -4.96. Let l = -1.5 + -15.5. Let z = l + 17.4. Which is the second smallest value? (a) -1\/5 (b) w (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -101292 not equal to -101589?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jngijtl. What is prob of picking 1 g and 1 j?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -155*y - 4185. Let z be s(-27). Solve 3*n + q - 11 = z, 3*n - 12*q + 10*q = 14 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -u**3 - 21*u**2 + 28*u - 37. What is p(-22)?\nAnswer: -169","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-5)\/3 + 2\/3. Let b be -1 - (c - -1*2). Is b + 2\/2 - -12 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) be the third derivative of 11*m**6\/120 - 7*m**3\/3 + 14*m**2. Find the first derivative of y(t) wrt t.\nAnswer: 33*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -r. Let d(h) = -87*h**2 + 1. What is f(d(b))?\nAnswer: 87*b**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -430783 (base 12) in base 7?\nAnswer: -11666265","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28 = 4*i - 3*g, 35 = 5*i + 2*g + 2*g. Is (-124090)\/(-35) - 3\/i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.042 and 78636.\nAnswer: 3302.712","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = g**3 + 4*g**2 + 2*g + 3. Let x be h(-3). Suppose -x*r + 179 = -r - 3*w, 0 = 2*w - 4. Let m = r + -21. What are the prime factors of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-2 + 0)\/(7\/(-14)). Suppose -c*x + 132 = 4*m, -16 = 3*m + m. Calculate the remainder when x is divided by 13.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = 39*d**2 - 487*d + 2455. Calculate z(5).\nAnswer: 995","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 3404304 a multiple of 144?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -45*x + 13*x - 512. Let o be 9736\/x*18 + 3. Round o to the nearest 1000.\nAnswer: -11000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.17 - -21501094.\nAnswer: 21501094.17","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -15 + 1900?\nAnswer: 18a7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + -17 + (87 - (8 + -48) - 47).\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 844528.7 grams in nanograms?\nAnswer: 844528700000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -61 - -73. Suppose 4*o = -g, p + o - 954 = 1974. Is p a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -4 - 10. Let p be (8\/h)\/(7\/(-49)). Suppose -5*z + 4*z + g + 20 = 0, -p*z - 4*g = -56. What is the remainder when 31 is divided by z?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -18451\/10523 + -7\/619. Is p >= -3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4c6b23 (base 13) in base 15?\nAnswer: 2660ee","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 895520 is divided by 40645.\nAnswer: 1330","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kvw when three letters picked without replacement from {t: 3, v: 1, j: 1, k: 1, w: 3, l: 6}?\nAnswer: 1\/910","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q = -8, 3*q - 5367 = -2*i - 3*i. What is the greatest common factor of 63 and i?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 153, 80, -231, -786, -1591, -2652?\nAnswer: -3975","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -29 + -3. Let i = 5\/139 - 164\/695. What is the smallest value in i, 1, r, -5?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*r**2 + 1146183*r\/4 - 171927\/4.\nAnswer: -(r - 57309)*(20*r - 3)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 188, 378, 570, 764, 960, 1158, 1358?\n\"Answer: z**2 + 187*z","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 18909 (base 10) to base 12.\nAnswer: ab39","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 216999*n - 216999*n + 444 - 8*n**2 to the form k*n + m*n**2 + c and give c.\nAnswer: 444","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rrj when three letters picked without replacement from jxrrrrx.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = 2*j**2 - 233*j + 6079. Calculate q(77).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1542 smaller than 35467\/23?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 7, p: 2, m: 3, c: 5}. Give prob of sequence mcp.\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3273*u + 23231 + 2953 for u.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 302974812 + -302983330.92998. Let u = 8519 + d. Let q = -0.07 + u. Round q to 5 decimal places.\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 9.137317 and 285.\nAnswer: 294.137317","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 24788, 24748, 24684, 24596, 24484, 24348, 24188?\n\"Answer: -12*f**2 - 4*f + 24804","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:08 AM and 4:59 AM?\nAnswer: 51","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 35341722 bigger than 35341721?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is -79460 greater than -74185?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 69.59 - 70. Let b = -0.09 + o. What is the smallest value in -2, b, 9?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = 14*b - 249. Determine g(19).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -86126*c + 86127. Give d(1).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 431038 and 1246886?\nAnswer: 254","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -110120122120 (base 3) in base 14?\nAnswer: -66341","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 632 and 16?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (-1*sqrt(33)*-4)\/(-1*1*sqrt(3)).\nAnswer: -4*sqrt(11) + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 12 and 5074478.\nAnswer: 30446868","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h - 2 + 17 = 0. Is 6 a factor of (h + 4)\/(3\/45)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*b - 21 = 14*c - 4*b + 3*b - 4, 6*c + 4 = -3*b - 47 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*k - 10*k - 5*k + 253*k.\nAnswer: 241*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-51)\/(-34))\/(-3 - ((-12335)\/(-880) - 17)).\nAnswer: -88","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = 3*z**2 - z + 4. Let f(w) = -2*w**2 + w - 6. Let j(c) = 2*c**2 - c + 5. Let t(x) = -2*f(x) - 3*j(x). What is 3*m(k) + 4*t(k)?\nAnswer: k**2 + k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x + 2*h = -22, -2*h = -x - 87 + 109. Let b be -7*(-5 + -1 + 3). Solve -5*f + 21 = -x*s - 4*s, 5*s = f - b for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 73\/56386 and -101\/44.\nAnswer: 112772","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 4\/2 - 0 - 8. Let k(c) = 2*c - 4*c + 3 + 1. Does 8 divide k(f)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (28\/(-8) + 3)*-4. Suppose 2*m = 4*b + 7*m - 3, -d*m - 12 = -5*b. What is the highest common divisor of 4 and b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*r + 12747 + 593 = 0. Let m(y) = 1042*y + 7. Let z be m(3). Let h = z + r. Is h prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -5694 less than -5685?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -19 + 3 - -23 - (-3 - 3) - 27.\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: ((-522)\/(-406))\/((-132)\/(-28))\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 68659 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (80\/(-96) + (-1)\/6)*-44. Calculate the highest common divisor of 110 and j.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -845 + 852. Let a(t) = -t + 7. Give a(p).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-576)\/1296)\/(20\/54)?\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -5 (b) 5 (c) 4 (d) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -65 - -92. Calculate the remainder when k is divided by 16.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 42640 = 2*o - 3*i - 24384, 134066 = 4*o + 3*i. What is the hundreds digit of o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = 24 - 1101*x**3 + 2206*x**3 - 1106*x**3 - 10*x**2 + 12*x. What is d(-11)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -8949172 + 15411172. Round q to the nearest 1000000.\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*c - 27 = -2*w, 0 = w + 4313*c - 4318*c - 38 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -1002 divided by -167\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*s - 16 + 22 - 6.\nAnswer: -2*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 64*j + 5 = 59*j - 3*s, -s = 28*j + 28 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 12180?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**14\/((z\/z**(-14))\/z))\/(z**(1\/4))**(-8\/7))**(-36) assuming z is positive.\nAnswer: z**(-72\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -0.0402 (b) 1.71 (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-5)\/(-6) - (31\/155)\/(24\/(-18740)) is divided by 33.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -z**3 - z**2 + 1539*z + 9288. What is m(-6)?\nAnswer: 234","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 390*71.8.\nAnswer: 28002","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Are -8857\/29 and -305 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 50100 to the power of 1\/6, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in eleven tenths of a second?\nAnswer: 1100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ckhet. What is prob of sequence keh?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -34203 + 4?\nAnswer: -34166","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rrqrqrqqfqrqqqfruqu. What is prob of sequence uqfq?\nAnswer: 1\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -83 - 3349 = -286*z for z.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = 3*d**3 - 3*d**2 - 7*d - 30. Let c(u) = 5*u**3 - 6*u**2 - 13*u - 53. Let f(a) = -4*c(a) + 7*y(a). Determine f(-5).\nAnswer: -63","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find o such that -5*o**5 + 405*o**4 + 4610*o**3 - 5410*o**2 - 4605*o + 5005 = 0.\nAnswer: -11, -1, 1, 91","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1123 + 1122.87. What is the closest to k in -4\/9, 1, 4?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) be the first derivative of -7\/2*s**2 + 2 + 4*s**4 + s + 8\/3*s**3. What is l in g(l) = 0?\nAnswer: -1, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -20520*i + 759297. Determine d(37).\nAnswer: 57","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -1*(-6 + 0 + 1). Suppose -3*g + h - 4*h = -24, -4*h = p*g - 36. Let o = -1 + g. What are the prime factors of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*s - 33 = 33*s. Which is the nearest to -2\/7? (a) 1\/10 (b) s (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 512964 and 12?\nAnswer: 512964","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -25583 - -25578. Sort -3, 114, -2, k, 1 in decreasing order.\nAnswer: 114, 1, -2, -3, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = 7*b**3 + 2*b**2 + 5*b - 13. Is s(11) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.18 * -0.3.\nAnswer: 0.054","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -277*q + 1 = -278*q for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13348?\nAnswer: 2, 47, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 557, 1234, 1911, 2588, 3265, 3942?\nAnswer: 4619","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*t**2\/7 + 34*t\/7.\nAnswer: 2*t*(t + 17)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v = -4*j + 3, 3*j - 6 = -0*j. Solve k + 4*k - 5 = v*z, 4*z = -k - 14 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-2\/9)\/r**12)**(-23\/2) assuming r is positive.\nAnswer: r**(1265\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.07804 - -0.02196. Do v and 308 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 95\/16 and 1\/(60\/(-205))*9\/10.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -4\/561 and 1 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.3, 3, -0.046?\nAnswer: -0.046","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 4.4, 21, 1, -2\/669?\nAnswer: 21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-52 - -31 - -37) + -42.\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-five halves of a kilogram in grams?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f - 5*d = 176 + 94, -5*d - 217 = -4*f. Is f a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z**21*z**(2\/155)*(z\/(z*(z\/z**24)\/z))**(1\/3) assuming z is positive.\nAnswer: z**(4497\/155)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = 54*j - 54. Calculate the remainder when 128 is divided by y(2).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 76\/90 + (-28)\/12*(-32)\/(-168). What is the nearest to -2 in k, 1\/14, 3, 0.5?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (12\/(-2520)*-7*2)\/((-2)\/(-10)).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = 3*t**2 - 4. Let b(c) = 31402*c**2 - 44860. Give -b(k) + 11215*y(k).\nAnswer: 2243*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -r**2 - 5. What is q(4)?\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 175 is divided by 30?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 187, 507, 1055, 1831, 2835, 4067, 5527?\nAnswer: 7215","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 9668896 != 9668903?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -308*u**3 + 7*u**2 - 66*u - 622. Is n(-11) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.06292183 plus 0?\nAnswer: -0.06292183","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 1731 divided by -8604\nAnswer: -577\/2868","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -14.55363 rounded to the nearest integer?\nAnswer: -15","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 114522?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) be the second derivative of 0 - 2*j - 6*j**2 - 1\/6*j**3. Let g(r) = 2*r + 23. Let z(m) = 4*g(m) + 9*n(m). What is the derivative of z(i) wrt i?\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-8)\/(-28) + (-132)\/1001. Let v = 3 - 5. Sort v, 4, d, 2\/9 in decreasing order.\nAnswer: 4, 2\/9, d, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-102)\/153*(-1)\/2*-24.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i*(i**0\/i)\/i*i)\/i**(24\/5))\/(i*i**14\/i*i**20) assuming i is positive.\nAnswer: i**(-194\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) be the third derivative of -17*p**5\/60 + 2*p**2 - 110*p - 3. Let a(t) = -342*t. What is k(a(d))?\nAnswer: -1988388*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand -19*y**2 + y**4 + 19*y**2 + (5*y**3 - 2*y**3 + y**3)*(-84 + 33*y + 84) - 3*y**3 + 3*y**3 - 2*y**4.\nAnswer: 131*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -16\/3 and (-7)\/7*274\/36 + 1?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -48, -95, -142?\nAnswer: -189","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find k, given that -2*k**3 + 4 - k**3 + 3*k - 1 + 47*k**2 - 50*k**2 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hhhbohbhbbh. What is prob of picking 3 h?\nAnswer: 4\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l = -0*w - 3*w - 36, 2*w = l - 32. Suppose 0 = 14*i + 203 - 217. Solve -l - i = 5*b for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -21 (base 5) to base 2.\nAnswer: -1011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-14)\/(-3)*(-9)\/(-6). Suppose -3*z - k = -4*z. What is the units digit of z?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 231 divided by 918.\nAnswer: 77\/306","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u + 3*c - 58 = 188, -4*u + c = -190. Suppose -26*z = 9*z - 840. Calculate the greatest common factor of z and u.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 58*z**2 - 27*z**2 - 38 - 28*z**2.\nAnswer: 3*z**2 - 38","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 137 = q + 4*a, -950 = -4*q + 3*a - 326. Suppose q = 3*b - 672. Suppose -2*h = 109 - b. What is the units digit of h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -18 - -129\/7. Let p = -0.2 - 0.2. Let o = 0 + p. Which is the third biggest value? (a) o (b) 0 (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 + 2*n**2 + 1)*(n - n - n**2) + n - n - 2*n**4 + 2434*n**4 + 1091*n**4 + 2923*n**4 to q*n**2 + v*n + o*n**3 + b + x*n**4 and give x.\nAnswer: 6444","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 5 - 2)*(-1 + 4 + 0)*(1 + 1 - 6)*(-j + 2*j + 0*j).\nAnswer: 12*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -73 - -78. Is (r - -2) + -4 - (-9323 + -1) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(495) + (-1*sqrt(495)*4 - sqrt(495)))\/(4*sqrt(1100)).\nAnswer: -3*sqrt(5)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = 2*p. Let h be y(3). What is the derivative of 8 + h*q**3 - 10 + 3 wrt q?\nAnswer: 18*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -22 - -775?\nAnswer: 753","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) be the first derivative of -l**5\/20 + l**4\/8 - l**2\/4 + l\/4 - 4. Find y, given that j(y) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**4\/r**7*(r\/r**3)\/r*r**(-3))**(-5\/4))**(-4\/19) assuming r is positive.\nAnswer: r**(-45\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-32)\/(-18) + (-2)\/(-9). Suppose -5*o = 15, 0 = -a*m + 2*o + 15 - 1. Suppose -m*z + 10 = z. Solve -z = f - 6 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -364*o**2 + 125*o**2 + 120*o**2 + 123*o**2.\nAnswer: 4*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4969?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + 2*j + 311 + 514 = 0, -540 = -2*i - 2*j. Let w = i - 267. Solve -w = 5*b + 19 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 161894333?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = 12627*o**2 - 11987*o - 68. Let h(y) = 2104*y**2 - 1998*y - 12. Let j(k) = 17*h(k) - 3*w(k). Find the second derivative of j(n) wrt n.\nAnswer: -4226","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (3 - -6) + 22\/22. Solve 2*w - m*w = -32 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -7*d**2 - 42*d - 10. Calculate p(-12).\nAnswer: -514","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(486) - (sqrt(486) - sqrt(486)*1))\/sqrt(3).\nAnswer: 9*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j + 18 = -30. Let n be (-30)\/(-8) + (-3)\/j. Determine f, given that -3*f**2 + f**4 + f**3 - 2*f**4 - f**5 + n*f**2 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -537 - -4?\nAnswer: -533","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h - 10 = -2*z, 2*z - h - 10 = h. What is the least common multiple of z and 8?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6006 divided by 13.\nAnswer: 462","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -d**3 - 32*d**2 + 274*d - 1830. What is q(-40)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -9*i - i + 20 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 98748.\nAnswer: 2, 3, 13, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-2880)\/(-27) + 4\/(-6). Suppose r = 2*l + 3*y, 0 = 5*y + 7 - 27. What is the units digit of l?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*h + h + 3*h)*(-4 + 3 + 2) + (-4 + 10 + 8)*(2*h - 1 + 1).\nAnswer: 30*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -u**3 - u**2 + 1. Let i(v) = 5*v**3 + 2*v**2 + 3. Determine -2*h(d) - i(d).\nAnswer: -3*d**3 - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 18, 49, 82, 105, 106, 73, -6?\nAnswer: -143","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -796 = 131*v - 272 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5 = -3*k - 4 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*j - 125 = -149 for j.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1403 + 1507. Calculate the remainder when f is divided by 23.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2337 divided by 754\nAnswer: 2337\/754","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*c - 324140 = 2679*c + 739*c for c.\nAnswer: -95","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0\/(-3 - 4) - 8\/6.\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -4.9 + 6. Let g(a) = 4*a - 7. Let i be g(5). Suppose -i*y - 5 = -18*y. Which is smaller: w or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = 5*q**2 + 7*q - 7. Let b(s) = -2*s**2 - 2*s + 2. Let n(r) = -r**2 + r - 2. Let o be n(2). Determine o*x(h) - 14*b(h).\nAnswer: 8*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 15\/(-2)*(-176)\/440. What is b in 2\/9*b**4 + 0*b - 2\/9*b**2 + 0*b**r + 0 = 0?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-2\/5))**(-7\/5)\/((f*(f\/f**4)\/f)\/f**(-3\/11)) assuming f is positive.\nAnswer: f**(904\/275)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 16 - (14 - -10) - 10\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 328?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*p - 5*k + k - 5652 = -5591, -5*p + 3*k = 13 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 15.69176 nanometers to centimeters.\nAnswer: 0.000001569176","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 315222 is divided by 433.\nAnswer: 431","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 10\/((-21)\/(1449\/46))*(-18)\/(-3)?\nAnswer: -90","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 4853 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 28 is divided by 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -48 or -54?\nAnswer: -54","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -180454 = -4*m - 7*y, 28*y - 25*y + 180394 = 4*m. List the prime factors of m.\nAnswer: 23, 37, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 3 (b) 8 (c) -17\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p**4\/8 - 163*p**3\/2 + 27731*p**2\/4 + 4544541*p\/2 + 18122049\/8 = 0. Calculate p.\nAnswer: -121, -1, 387","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -142*o = -225*o + 83 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -76 from -74850138.\nAnswer: -74850062","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -44*n + 1337 = -203. Solve 19*c + n = 12*c for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 + 3 + 2 + 3 - 1\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 8531, 17061, 25581, 34085, 42567, 51021, 59441?\nAnswer: 67821","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-688 + 1252*o - 703 + 1387)*(-3*o - 4*o + 6*o) to w + q*o + d*o**2 and give d.\nAnswer: -1252","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 45, -25, -167, -405, -763, -1265, -1935?\n\"Answer: -4*j**3 - 12*j**2 - 6*j + 67","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (161*20\/6900)\/((-14)\/(-24))\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 55\/2 of a hour in minutes?\nAnswer: 1650","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find g, given that 2*g**5 + 4*g**4 - 184*g**3 + 48*g**2 + 2880*g = 0.\nAnswer: -10, -4, 0, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5)\/(-200)*5 - (-39)\/72.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:04 PM and 2:11 AM?\nAnswer: 367","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:32 AM and 5:19 PM?\nAnswer: 707","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 64 = -8*o + 808. Suppose -5*j - 155 - 82 = 4*u, 0 = 3*u + 5*j + 184. Let i = u + o. What is the tens digit of i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = 4*p**2 - p - 65. Let q = -10 + 30. What is the smallest common multiple of q and h(5)?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -6849, -27329, -61481, -109317, -170849, -246089, -335049, -437741?\n\"Answer: -2*v**3 - 6824*v**2 + 6*v - 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2 or -478?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2900*g - 2765*g + 8352*g - 369129 - 250422 = 0 for g.\nAnswer: 73","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 84530179 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.07 + 0.0736.\nAnswer: 0.1436","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 230 divide 3714170?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) be the second derivative of -1\/2*i**2 + 3*i + 0 - 1\/20*i**5 - 1\/2*i**3 + 5\/12*i**4. Give x(4).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -y**2 - 7*y - 8. Let r be g(-6). Let i = -2 - r. Suppose -p - 4*p + 5 = i. What is the nearest to -1\/2 in p, -5, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f - 2 = -7. Does 5 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 4668 + -3167. Is x composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -590.44 + 588. Let o = -2.39 - b. What is the closest to 1\/2 in o, -5, -0.1, -0.3?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 7566976 and 620?\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 10855724 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 37*t**3 - 16*t**3 + 287*t**3.\nAnswer: 308*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 14382 and 1122?\nAnswer: 158202","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -3.5, 0.1, -0.1, 23?\nAnswer: 23","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b = -5*d + 135, 0 = 4*d - 0*b - b - 105. Suppose -3*s = 3*i - 18, -i + 23 = 2*i + 4*s. Is (-1)\/(i\/(2 - d)) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(400)\/sqrt(250))\/sqrt(8).\nAnswer: sqrt(5)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.037 - -0.117. What is the third biggest value in 0.2, v, 3, 1\/4?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 62 + -66. Put 23, -2, h in decreasing order.\nAnswer: 23, -2, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 29149 (b) 0.1 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 18, -111, -3 in increasing order.\nAnswer: -111, -3, 1, 18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor 38\/3*z**3 - 34\/3*z**2 - 4\/3*z + 0.\nAnswer: 2*z*(z - 1)*(19*z + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 124*m - 138*m + 4*m**2 - 2*m**2 + 4 - 10 - 41 + 7*m**2 + 41 + (-2*m + 3*m + m)*(-m + 0*m - m).\nAnswer: 5*m**2 - 14*m - 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jm when two letters picked without replacement from {r: 4, m: 1, j: 5}.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = x**3 + 12*x**2 + 0*x - 11 + x**2 - 2*x. Is 3 a factor of l(-13)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = 295*v**2 + 1. Let u(w) = w**2. Let y(i) = -7*i**2. Let f(o) = 5*u(o) + y(o). What is c(f(j))?\nAnswer: 1180*j**4 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3998 + 111*l**2 + 3712 - 110*l**2.\nAnswer: l**2 - 286","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b = -3*p - 31, -3*p + 4*p = -3*b + 53. Let c = 23 - b. Suppose -4*v = c - 32. Solve -v*i = -2*i - 10 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 548784 and -0.0351 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 4\/(32\/(-12))*-2. Find the second derivative of -3*t**5 - 2*t**3 + 4*t - 3*t**3 + 5*t**j wrt t.\nAnswer: -60*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.2, -2, -21, 1\/2 in ascending order.\nAnswer: -21, -2, 0.2, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -3735964, -14943874, -33623724, -59775514?\n\"Answer: -3735970*i**2 + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:19 PM and 2:07 AM?\nAnswer: 588","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -161649.71 take away 39.06?\nAnswer: -161688.77","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 85*o*y**2 + o*y + 3*o - 7*y**3 - y**2 + 2684 with respect to y.\nAnswer: 170*o*y + o - 21*y**2 - 2*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -18048 + 44092. Is 68 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*j - 6*j + 5925270000 = 15*j. What is j rounded to the nearest one million?\nAnswer: 152000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 91926281?\nAnswer: 91926281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q + 7*d = 3*d - 14, -d = 2. Suppose 4*i - q = -o, 5*i - i + 5*o = -6. Put 0, -4, i in ascending order.\nAnswer: -4, 0, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -20 + 2 - 11 - f - f. Let p be m(-14). Let c be (-1)\/p*(-3 + 1). Let k(w) = 10*w**2. Let t(h) = -3*h**2. What is c*k(y) - 7*t(y)?\nAnswer: y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 24553275 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 7456902 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4 * 33.32476.\nAnswer: 133.29904","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2580 and 70.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 2*y + 2*d, -4*y = -8*y - d + 39. What is the smallest common multiple of y and (3 - 4)\/(1\/(-6))?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (518\/8)\/(((-64)\/224)\/((-16)\/14)). What is the greatest common divisor of 629 and r?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w + w = 260. Suppose -3*s = p - 71, 0 = 5*s + 5*p - p - w. Is s prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -9372e (base 16) to base 5.\nAnswer: -123311300","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 169228152?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w - 7*w + 8 = 0. Suppose -4*p + 41 = 3*g, 5*g - 6*p - 15 = -w*p. Let f be 90\/(-210) - 264\/(-28). Solve 4*k = -g - f for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let h be 5355\/14 - 2\/4. Suppose 546 = 16*f - h. Which is smaller: f or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 405 minutes before 11:36 PM?\nAnswer: 4:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n + 0*n = -3*k + 218, -3*n - 2*k = -322. Let h = n + -71. Is h a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -0.062 (b) 2 (c) -1231\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 404137 to the power of 1\/4, to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (12\/(-4) + 8)\/(-1)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of -28*(46\/6)\/(28\/(-21)).\nAnswer: 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q + 144 = 5*q - 2*u, -4*q - 5*u = -333. Suppose -13 = -8*m - q. Let l be (0 + 76\/(-8) + 3)*m. Do l and 52 have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find t, given that 572*t**4\/3 + 2664*t**3 - 50884*t**2\/3 + 23616*t - 11248\/3 = 0.\nAnswer: -19, 2\/11, 2, 37\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 27, 3, 0, 0.5?\nAnswer: 27","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3 - 3. What is the first derivative of 4 - g - 1 + 0 + k*g wrt g?\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 35927?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 557425 or 131?\nAnswer: 131","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1710 and 415266660.\nAnswer: 1710","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 40716 and 858?\nAnswer: 447876","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 16053068840 less than 0.1?\nAnswer: -16053068839.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3483 and 243.\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -16125\/4 + 4009. Find the common denominator of 89\/4 and a.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 46 - 83. Let x = 19 - k. Is 8 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -273*k - 274*k + 1360*k - 267*k - 271*k - 277*k.\nAnswer: -2*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express 22*o**3 - 1 - 288*o**2 - 2*o + 3*o + 601*o**2 - 312*o**2 as n*o + t + c*o**3 + q*o**2 and give q.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 19896 or 19706?\nAnswer: 19706","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) be the second derivative of 17*z**4\/12 + 3*z**3 - 9*z**2 + 159*z. Let w be u(1). Calculate the greatest common factor of w and 136.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 51, 76, 109, 150, 199, 256?\nAnswer: 321","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -0.28 times 10\nAnswer: -2.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 - 92 = -2*n + 4*d, 55 = n - 3*d. Solve -3*o - 22 = -n for o.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 42989 a multiple of 42?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 687*k**2 + 194*k**2 - 513*k**2.\nAnswer: 368*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 4 (b) -12.27941 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -h**3 + 2*h**2 + 2*h + 1. Give b(3).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 73\/14712 and 91\/1706592?\nAnswer: 1706592","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide 21608 by -4.\nAnswer: -5402","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -43\/106838 and 139\/6.\nAnswer: 320514","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 less than -65\/852?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = -8*u + 17. Suppose u*b - 7*b = -36. Is 2 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 51204, 409631, 1382506, 3277053, 6400496?\n\"Answer: 51204*a**3 - a + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 m when four letters picked without replacement from msjmjmm.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 109 is divided by (-43 + 35)*-1*1.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 56 and 4\/5 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = 7*n**3 + 15*n**2 - 6*n - 24. Let u(m) = -6*m**3 - 16*m**2 + 5*m + 21. Calculate -6*u(g) - 5*w(g).\nAnswer: g**3 + 21*g**2 - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.012 + -23.988. Let q = l - -21. What is the third biggest value in q, 0, -0.3, 1.5?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00179804552 to 6 decimal places.\nAnswer: 0.001798","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1140 (base 5) to base 7.\nAnswer: -332","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -p**3\/5 - 58*p**2 + 309983*p\/5 - 43868928\/5 = 0 for p.\nAnswer: -768, 239","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = 10*y**3 + 3*y**2 + 3*y + 2. Let x(l) = 29*l**3 + 8*l**2 + 8*l + 6. What is 8*r(v) - 3*x(v)?\nAnswer: -7*v**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is z in z**4\/10 - 19103*z**3\/10 + 114516*z**2\/5 + 572698*z\/5 + 610912\/5 = 0?\nAnswer: -2, 16, 19091","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -51*n - 3 - 6*n**3 + 51*n wrt n.\nAnswer: -18*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (80 + -74)*(-3)\/(-149 + -4)?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2084008?\nAnswer: 2, 337, 773","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 + 2*r**2)*(32*r + 30*r + 4*r + (3 - 1 - 1)*(-2*r + 1 - 1) + 0*r - 3*r + 2*r).\nAnswer: 126*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*p = 3398 - 12890. Calculate the highest common factor of p and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 830053 (base 9) to base 6\nAnswer: 14314203","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) be the first derivative of 4\/7*k + 0*k**2 - 4\/21*k**3 - 25. Find o such that s(o) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-60*(-6)\/27*(-87)\/(-29))\/(-2)\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1132?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-1)\/((-2)\/((-4)\/11)). Suppose 10697 = 122*c + 10941. What is the closest to c in r, -0.1, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 36 (b) -6 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 greater than -5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 3, u: 1, o: 3, t: 6, c: 5}. What is prob of picking 1 w, 1 o, and 1 c?\nAnswer: 15\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor -x**2\/5 + 55*x - 546\/5.\nAnswer: -(x - 273)*(x - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 84 and 2200?\nAnswer: 46200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2450 + 2462. Solve 3 = 2*b + 5*t, -5*b = -7*b + 4*t + d for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1988604?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 128, -83, -4 in descending order.\nAnswer: 128, -4, -83","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1548?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 117*r - 581 = 124*r. What is r rounded to the nearest 100?\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*u - 8 - 7, -9 = 4*y - 5*u for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -q - 2*m - 7, 5*q + 3*m = m + 5. Let v = -3 - -8. What is the closest to 0.2 in -1\/5, v, q?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -255\/4, -6, -1, 7\/3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0*-1.39.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 460.3ug in milligrams?\nAnswer: 0.4603","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 358 divide 363994710?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = f**2 - 7*f - 6. Let t be x(8). Let n(y) = -y**3 - y**2. Let b be n(-1). Let q be -1*3\/(-1) + b. Solve h = -g + 2, 15 = t*g + q*g for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 26 - 25.9. Put s, -0.5, 1, -3 in increasing order.\nAnswer: -3, -0.5, s, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hppppphhppppphppppp. What is prob of picking 2 p?\nAnswer: 35\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 1, n: 1, u: 2}. What is prob of sequence uwn?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2, 9, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2 - -2. Let x = f + -4.22. Let n = -0.22000065 - x. Round n to seven dps.\nAnswer: -0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) be the second derivative of u**6\/6 - 94*u**3\/3 - 787*u**2\/2 + 52*u - 1. Find the first derivative of c(t) wrt t.\nAnswer: 20*t**3 - 188","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -7, -3, -4, 7783 in increasing order.\nAnswer: -7, -4, -3, 2, 7783","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express 5 + l**2 + 0 - 4*l**2 in the form t + a*l**2 + v*l and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 2 - 1\/(2 - 33\/18)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f - 15 = -f. Suppose 491 = f*u - u - 5*d, -4*u = 3*d - 499. What is the tens digit of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 561 - 351. Let r = t + -213. Which is the nearest to 0.5? (a) 1\/3 (b) -1\/6 (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00070836914 to 5 decimal places.\nAnswer: 0.00071","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 13756.806 minutes to weeks.\nAnswer: 1.3647625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) be the third derivative of -o**6\/20 + 7*o**5\/20 - o**4\/2 - 2*o**3 - o**2 + 410*o. Solve v(f) = 0 for f.\nAnswer: -1\/2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 56 minutes after 2:15 AM?\nAnswer: 3:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1720 by 95.\nAnswer: 344\/19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -2*a. Let k be y(-1). Let l(b) = -3 + k - b**2 + 4 + b. Let z(h) = -4*h**2 + 7 + 4*h - 16 + 4 + 15. Give -14*l(j) + 4*z(j).\nAnswer: -2*j**2 + 2*j - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 6 or 374\/61?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k = 3, -4*u - 4*k = 20 + 24. Let y be (u\/(-2))\/(-6 - -5). Suppose 0 = -129*r + 44*r - 170. Which is greater: r or y?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -1 + 32\/(-12 - -20). Solve -2*r = 2*x - 6, -r = 4*x + x - o for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = 5*h - 5*o, -5*h + 16 = 5*o - 24. Suppose 3*v - 12 = -y, -y + 15 = v + h*y. What is the second derivative of -t**v - 12*t + 14*t**3 + 36*t wrt t?\nAnswer: 78*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 18 and 358050645?\nAnswer: 716101290","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -m**3 - 8*m**2. Let q be d(-8). Suppose -4*y + 4 = -q. Let x(u) = 36*u - 1. What is the remainder when x(y) is divided by 9?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*g**4 - 4*g**4 - 3*g**4)*((1 + 0 + 2)*(-2 + 6 - 1) + (-2 + 2 - 3)*(-1 + 0 + 2)) to the form l*g**3 + q*g**4 + s + p*g + b*g**2 and give q.\nAnswer: -60","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -3471.01971 to the nearest 10.\nAnswer: -3470","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 1, w: 5, k: 2, e: 1, m: 1, d: 3}. What is prob of sequence vdem?\nAnswer: 1\/5720","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 113\/4144080 and -113\/432.\nAnswer: 37296720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 947360.9 weeks?\nAnswer: 6631526.3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -8.6 + 8.5885. Let f = m + 0.011981. Round f to four decimal places.\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 122 + i**2 - 39 - 29 - 36.\nAnswer: i**2 + 18","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2140 and 920.\nAnswer: 98440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = 8*q**2 + 7*q - 6. Let c(l) = -2 + 2*l - 9*l**2 + 9 - 4*l - 4*l. Let b(m) = -6*c(m) - 7*h(m). Find the second derivative of b(k) wrt k.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -6 - -10. Suppose 16 + r = 10*t. Let n be 5*(8\/5 + -2). Put 39, 0, t, n in descending order.\nAnswer: 39, t, 0, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-8003)\/(-1510) + 3\/(-10). Solve v - s + 7 = s, -q*s = -5*v - 10 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2016)\/(-108))\/7*15?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 50\/(-20)*(-8)\/(-5).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 285 and 27?\nAnswer: 2565","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-9)\/(234\/(-91)))\/(-2).\nAnswer: -7\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qrv when three letters picked without replacement from qjjrvqj.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = 2*s**2 - 7*s - 3. Suppose 17 - 5 = 3*i. What is the units digit of u(i)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + 2*(sqrt(4)\/sqrt(18) - sqrt(2)).\nAnswer: -4*sqrt(2)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.4 and -13.653.\nAnswer: -13.253","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24499*c - 370 = -24489*c. Suppose 3*i + 2*d = -6, 7 = 4*d - 5. Put c, 3, -5, i in increasing order.\nAnswer: c, -5, i, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -4*d. Let y = 7 - 1. Let g(a) = a**2 + 1. Let p(n) = -8*n**2 - 6. Let h(j) = y*g(j) + p(j). Calculate h(r(u)).\nAnswer: -32*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3265 is divided by 45.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (16\/20)\/(8\/100). Let x = f + 8. Is 17 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.31 + -0.01. Let x = 3 - -3. Let q be x\/15 - 16\/15. What is the nearest to 0 in 4, b, q?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 1, w: 1, o: 4, q: 2}. Give prob of picking 1 o, 2 q, and 1 w.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (32162\/(-65) - 9) + 1. Is o greater than -503?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -53 - -90. What is the remainder when 106 is divided by x?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 268153?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -b4319 - -99?\nAnswer: -b4240","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -1160200*f. Let j(a) = 4*a**2. Give j(s(z)).\nAnswer: 5384256160000*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.1, -1, -38138, -16.6?\nAnswer: -38138","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = 1263*w - 9. Let b(t) = 3158*t - 22. Give 5*b(v) - 12*o(v).\nAnswer: 634*v - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -10, -12, -2, 26, 78, 160?\nAnswer: 278","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 419430156 to the power of 1\/2, to the nearest integer?\nAnswer: 20480","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -1245619 + -10.691?\nAnswer: -1245629.691","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*r**2\/5 + 3456*r\/5 + 3471.\nAnswer: -3*(r - 1157)*(r + 5)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 1859 to the power of 1\/3, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 84732?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -297134 - 4?\nAnswer: -297138","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = a**3 + 1. Let p be x(1). Suppose -7 = -p*d - 3. Let v(s) = 3*s + s - d*s. Determine v(-3).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1857000 to the nearest one hundred thousand.\nAnswer: -1900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) be the first derivative of -q**7\/2940 + q**6\/1260 + q**5\/420 - q**4\/84 - 5*q**3\/3 + 2. Let i(z) be the third derivative of a(z). Solve i(u) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(16)\/(sqrt(1944)\/sqrt(3)).\nAnswer: sqrt(2)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1.37 - 1.27. Let m = l + 2.8. Which is the smallest value? (a) 1 (b) m (c) 2\/17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 206*f + 4861 = 306*f + 13661 for f.\nAnswer: -88","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*k + 121*g - 117*g + 1 = 0, 3*g + 13 = 4*k for k.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Determine c so that 2*c**2 - 158*c + 3036 = 0.\nAnswer: 33, 46","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 3\/(-9) + (-602)\/(-6). Suppose -96 = -4*b + c. Is b a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve m + 3 = -5*i, 0 = -3*i + 7*i + 3*m + 9 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1189922, 1189875, 1189806, 1189721, 1189626?\nAnswer: 1189527","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (18\/8)\/((-3)\/12). Let d be g\/6*4\/(-3). Suppose -4*i = -3*t + 38, 0 = -t + d*t + 4*i + 14. What is the units digit of t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 454187 - 12037.44\nAnswer: 442149.56","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*a = -32*a + 306 for a.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-6)\/(-2)*(12 - -7559). Let m = 35324 - w. Is m composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3910 is divided by 156?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h - 3*k = 5, -3*h - 4 + 29 = k. Calculate the highest common divisor of 72 and h.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 728202 at most 728203?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 120 and 2627304.\nAnswer: 13136520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13972335?\nAnswer: 3, 5, 13, 79, 907","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -2\/3 (b) -11\/229 (c) 0.5 (d) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4554269708?\nAnswer: 2, 59, 19297753","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in seven thirds of a day?\nAnswer: 56","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6411653 (base 8) to base 4.\nAnswer: 12201032223","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 539 and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (3 + -4)\/(3\/(-9)). Suppose -3*j - 1 = -5*a + y, 5*a = -2*j - 11. Let f(c) = -10*c + 1. Let n be f(a). What is the highest common divisor of 1 and n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -100 + 64. Let t = 74 + q. What are the prime factors of 1 + (t - 12\/3)?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/(3*4\/(-144))*21\/9.\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*c - 18*c = -42. Let n(l) = -l**3 + 8*l**2 - 5*l + 5. Let b be n(c). Solve -4*j - 2*s = -24, -3*s + b = 3*j - s for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 12 (base 6) to base 14\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 4408903 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -9 - -29. Let t be ((1 - 1) + 1)*(48 + -43). Suppose -7*d + 65 = t*i - 9*d, 5*i - 5*d - 65 = 0. Solve -8*k + i*k = x for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -3294, 0.4, -35.\nAnswer: -3294, -35, 0.4, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -3919*k + 1. Let h(m) = 1878*m. Determine h(i(d)).\nAnswer: -7359882*d + 1878","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1374*a**2*j**3 + 6*a**2*j**2 + 2*a**2*j + 133*a*j**3 + 2*a*j**2 - 3*a*j - 21*j**3 wrt a?\nAnswer: -2748*j**3 + 12*j**2 + 4*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:44 AM and 12:03 PM?\nAnswer: 559","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a = -4*j + 1808, 0 = 2*a - 3*j + 35 - 1229. What is the tens digit of a?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -r**2 + 2*r + 17. Is d(0) a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 16445 and 16445?\nAnswer: 16445","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 876 is divided by 871.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 564964180 a multiple of 188?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 24, 11, -26, -93, -196, -341, -534?\nAnswer: -781","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 404 minutes after 2:39 AM?\nAnswer: 9:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 518 and 994?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 202055658936+1.092\nAnswer: 202055658937.092","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 281665598 to the nearest integer?\nAnswer: 16783","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = 3 - 3 - 21756*z**2 + 21754*z**2. Let q(u) = -2*u**2 + 1517. Give q(y(x)).\nAnswer: -8*x**4 + 1517","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -28*z - 311 + 451. Solve 0 = -2*c + a, -3*c + 9*a = z*a - 5 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + -1 + (sqrt(7) - sqrt(70)\/(sqrt(70)\/sqrt(7))).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -278*z + 7327 - 7883 = 0 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 6 and 243.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 36 - (-19 - (9 + -63))\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 14, -25, -120, -271, -478, -741?\nAnswer: -1060","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -50*j - 294. What is k(-7)?\nAnswer: 56","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1.2 or 0.56?\nAnswer: 1.2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(156)*-1 + sqrt(156))*-2)\/(-2*sqrt(1452) + (sqrt(12) - (sqrt(12) - (sqrt(12) + -2*sqrt(972) + sqrt(972)))) + sqrt(12)).\nAnswer: 6*sqrt(13)\/29","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -0.87*5.857\nAnswer: -5.09559","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*n**3 + 285*n**2 - 4176*n + 3888.\nAnswer: 3*(n - 12)*(n - 1)*(n + 108)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -57, -246, -495, -750, -957, -1062, -1011?\nAnswer: -750","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h**4 + 14625*h**3 - 131895*h**2 + 395955*h - 396090 = 0. Calculate h.\nAnswer: -2934, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 610?\nAnswer: 2, 5, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) be the first derivative of -2*w**3 + 11*w**2\/2 - 2. Let r(f) = f**2 - 2*f. Suppose 4*p = -5*i + 51, -99 + 112 = i - 2*p. Calculate i*r(m) + 2*b(m).\nAnswer: -m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 15635 and 145.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 0.082, 3, -0.5, 26\/5, -50\/3, -2?\nAnswer: -50\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -104, -680, -2250, -5312, -10364, -17904, -28430, -42440?\nAnswer: -60432","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 226984.4km?\nAnswer: 226984400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out 25959673 + -575.\nAnswer: 25959098","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 117106?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 6454? (a) 0 (b) 1\/4 (c) 6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -288*b + 481*b - 8364620 = 0. What are the prime factors of b?\nAnswer: 2, 5, 11, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*w = 299 + 79. What is the highest common divisor of w and 21?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + 1*sqrt(567) + 4 + -3 + 0 + (((sqrt(567) - sqrt(567)*-2) + 3)*-4 - (sqrt(567)*-2*-2 + -5)))**2.\nAnswer: 2970*sqrt(7) + 127696","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1.807 + -0.093. Which is the nearest to -2? (a) m (b) 5 (c) 3\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-2)\/(-3) - (-8)\/(-18). Let a = -0.1 - -1. Let c = -0.5 + a. What is the nearest to -1 in c, l, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -16381520 - -16381519.60000004. Let b = 3.4 + -3. Let f = b + o. What is f rounded to seven decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 83280362 to the nearest integer?\nAnswer: 9126","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 18462 to the power of 1\/2, to the nearest integer?\nAnswer: 136","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -2*r**2 - 7*r + 6. Let m(s) be the first derivative of 15\/2*s**2 - 13*s - 2 + 4\/3*s**3. Give -13*g(z) - 6*m(z).\nAnswer: 2*z**2 + z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1589 and 8949475?\nAnswer: 62646325","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 22 + -16. Let o(x) = x - 6. Let a be o(y). Factor -2\/5*i - 8\/5*i**2 + a.\nAnswer: -2*i*(4*i + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -4*b**2 + b - 2. Let d(g) = -9*g**2 + 2*g - 5. Let l(k) = -2*d(k) + 5*i(k). What is the second derivative of l(o) wrt o?\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = n**3 - 3*n + 2. Let m be g(2). Let y(u) = 28*u + 145. Let r be y(-5). Suppose 5*d = -0*w + r*w - 20, -5*w - d + 38 = 0. Solve -b + w = m for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7*a**4 + 1 + 11*a**3 - 4*a - 25*a**3 + 12*a**3 to w + h*a + g*a**4 + b*a**3 + q*a**2 and give b.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = o**2. Let x(h) = -1598*h + 13. Calculate x(s(v)).\nAnswer: -1598*v**2 + 13","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = o**3 + 7*o**2 + 4*o - 11. Let w be p(-6). Which is greater: w or -36?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*m - 1629 = -v - 1618, v - 2*m = 3 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-1)\/(-13))\/((-50)\/(-325)). Put -0.09, 0.4, b in descending order.\nAnswer: b, 0.4, -0.09","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 19.75 + 561.\nAnswer: 580.75","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (18\/84)\/(54\/(-7)*(-3598)\/4112)?\nAnswer: 2\/63","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1098179 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -12*b. Let i(a) = a. Let x(h) = -10*i(h) - s(h). Let c(q) be the first derivative of 11*q**3\/3 + 113. Calculate c(x(k)).\nAnswer: 44*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 1a + -1?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -7 times -5\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = 13*d**2 - 5*d - 47*d**3 + 67*d**3 - 9 - 66*d**3. Let m(w) = -w**2 + w + 2. Let f(i) = 5*m(i) + r(i). What is the third derivative of f(x) wrt x?\nAnswer: -276","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -q**3 - 3*q**2 + 3*q - 2. Let u(m) = 2*m + 12. Let p be u(-8). Let n be (-12)\/(-10)*10\/p. Give r(n).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -109d9 (base 15) in base 2?\nAnswer: -1100111001110110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 (base 8) in base 10?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (70\/24)\/((-93)\/((-9207)\/(-77)))\nAnswer: -15\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 251663 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-6)\/(-6)*-1*-2)\/6.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*q**2\/3 + 64*q + 8932\/3.\nAnswer: -4*(q - 77)*(q + 29)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -u**3 + 81*u**2 - 77*u - 243. Let k be x(80). Which is the second biggest value? (a) k (b) -18 (c) 5 (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -p - 5*m + 2991 - 2979 = 0, 0 = 4*p - 4*m for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) -3\/80 (b) -0.01 (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (-20 - -14) + (3 - -34) - -80\nAnswer: 111","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 7636012 rounded to the nearest ten thousand?\nAnswer: 7640000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = 2*c**2 + 4*c - 14. Calculate the lowest common multiple of 9 and p(-7).\nAnswer: 504","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 9 - 7. Suppose a = -s + 6. Solve -m = q + 6, -s*m + 9*m = q for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 0 + 2 + 0 + 0. Let l = h + 1. Find the second derivative of -4*k + 2*k**l + 5*k + k wrt k.\nAnswer: 12*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 303 divided by 52.\nAnswer: 303\/52","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*i**2 + 0 - 4\/3*i**5 - 4*i**4 + 0*i + 4\/3*i**3 = 0. What is i?\nAnswer: -3, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1670)\/25 + 2 - (0 - -2) - (-556)\/695.\nAnswer: -66","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1 + w**5 + 1 - w**5 + 0*w**5 + 2*w**5 + (-6*w + 3*w + w)*(-2*w**4 + 3 - 3) + 0*w**5 + 3*w**5 - 2*w**5 - 22*w**5 + 7*w**2 - 5*w**2 - 4*w**2.\nAnswer: -15*w**5 - 2*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -6*j - 5*u - 2, 3 = -3*j - 2*u - u for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = 13*k**3 + k**2 - 1. Let c(h) = 2*h**2 - 22*h + 22. Let w be c(10). Let b(r) = 10*r**2 + 4*r + 2. What is the remainder when b(w) is divided by s(1)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 1, s: 1, q: 1, k: 1, j: 1}. Give prob of sequence qski.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 62350859 is divided by 827.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = r**3 - r**2 - 37*r + 139. Calculate o(4).\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/11*2937\/356?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(5 + ((sqrt(2736) - (sqrt(2736) + -2 + 4)) + (3*sqrt(2736))**2 + 0)*3)*3.\nAnswer: -1108065","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r - 4*r + 90 = 0. Is r a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) be the third derivative of j**8\/84 + 2*j**5\/15 + 7*j**4\/24 - 2*j**2 - 14. Find the second derivative of l(k) wrt k.\nAnswer: 80*k**3 + 16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.9018 and -0.5.\nAnswer: -0.4509","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 71*g - 57*g = 84 for g.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 divided by -4441.\nAnswer: 4\/4441","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 4 + 0. Suppose k = -f + 3*y, f - 4*y + 40 = 4*f. What is the remainder when 23 is divided by f?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s - 266 = -26. Let v = 113 + s. Let b = v - 30. Let y(d) = d**2 - 1. Determine y(b).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*n - 72 = -3*o - 17*n, 7*o - 2*n - 153 = 0 for o.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -m**2 + 2*m**2 + 680*m + m**2.\nAnswer: 2*m**2 + 680*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*m + 2*h = -10, 0 = -11*m + 15*m + 6*h - 9*h - 15 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = 16*i + 4. Let k(t) = 112*t + 28. Determine -20*c(w) + 3*k(w).\nAnswer: 16*w + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + (-6 - -22) - 34.\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (4\/8)\/(1 + 27\/(-30)). Let u = 3 + -3. Let j = -44 - -48. Solve 3*q + 21 = -k*l - 5, u = -l - j*q - 12 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 43\/1205 and -101\/50.\nAnswer: 12050","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s = -4*f + 7 + 318, 4*s - 4 = 0. Suppose -6*b + b = -f. Suppose -70 = -4*u + 2*v, u - 2*v - b - 3 = 0. Is 18 bigger than u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -10997*o**4*z**2 + 21*o**3*z + 4657533*o*z**2 wrt o.\nAnswer: -131964*o**2*z**2 + 126*o*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.088 in -4, 2, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5 (base 8) to base 9.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -16603 + 8303 + 8300 - u**2 - 506*u to the form x + o*u + b*u**2 and give o.\nAnswer: -506","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 8924035 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = 2*g. Let w(f) = 38*f**2. What is w(p(m))?\nAnswer: 152*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/4 of a kilogram in grams?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-6)\/(-5))\/(((-19)\/(608\/(-112)))\/7)?\nAnswer: 12\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 52 divide 2154709?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -31 + 3 + 19 + -1 + 0.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i = 5*i + 80. Calculate the lowest common multiple of (75\/i)\/((-6)\/16) and 8.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(1\/4)\/x)**(9\/5)\/(x\/(x\/x**(-3\/13))*x)**(2\/31) assuming x is positive.\nAnswer: x**(-11281\/8060)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -8537*-279\nAnswer: 2381823","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 5747 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(3*sqrt(176) - (sqrt(891) - (sqrt(891) + 1))) + 1)**2.\nAnswer: 720*sqrt(11) + 39636","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -22865 or -23050?\nAnswer: -22865","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -p**2 + 12*p - 16. Let g = 1 - -7. What is the remainder when 46\/(1 - 2 - -2) is divided by w(g)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27 = 3*m - 8*t + 4*t, 8 = m - t. Solve -4*n + 3 = -m for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find h such that -h**3\/3 + 118*h**2\/3 - 2176*h\/3 - 27744 = 0.\nAnswer: -18, 68","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*p + 6*t - 108, -p + 129*t + 21 = 130*t for p.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = 1 + 8*w + w + 3*w + 1. Let d be x(-1). Let k be ((-42)\/140)\/(12\/d). Which is the third biggest value? (a) k (b) 4 (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 187 + -105. Let s = t - 36. Suppose s = 5*r - n - 77, -71 = -3*r + 2*n. What are the prime factors of r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00005064 rounded to 6 dps?\nAnswer: -0.000051","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -19108 divided by -2\nAnswer: 9554","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 256 and 212?\nAnswer: 13568","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-67 + 42*p + 67)*(-5462 + 5462 - 80*p).\nAnswer: -3360*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 22293, 22284, 22263, 22224, 22161, 22068, 21939?\n\"Answer: -a**3 - 2*a + 22296","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -2290, -2288, -2284, -2278, -2270, -2260, -2248?\n\"Answer: g**2 - g - 2290","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(153)\/((sqrt(54) - sqrt(216))\/sqrt(6)).\nAnswer: -sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -45*b. Determine l(1).\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -28*n**2 + 221*n + 63. What is f(9)?\nAnswer: -216","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -91245526 divided by 6?\nAnswer: -45622763\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*o - o + 8. What is the remainder when 37 is divided by o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -389*j**2 + 5. Let y(o) = -104640*o**2 + 1344. Give 1344*f(p) - 5*y(p).\nAnswer: 384*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = w**2 - 7*w - 2. Suppose a = 5*f - 18, -3*f + 2*a + 0*a = -8. Calculate the lowest common multiple of f and x(9).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5 - 7) + -6 + (-3 - -5) - -14.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.12416274 and -0.3?\nAnswer: -0.037248822","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ooooooooooloooo. Give prob of sequence looo.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -80 - -72.6. Let q = -3.4 - c. Let x = -6.1 - -4.1. What is the third smallest value in -5, q, x?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 281942987 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -55 + 159. Suppose 0 = 3*j - 31 - y. Let w = j + -14. Is w a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine g so that -3*g**5 - 66*g**4\/5 + 6*g**3\/5 + 192*g**2\/5 - 63*g\/5 - 54\/5 = 0.\nAnswer: -3, -2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*i**3\/3 - 85*i**2\/3 - 89*i\/3 - 20\/3 = 0. Calculate i.\nAnswer: -4, -1, -5\/16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 + 1 - 7*z + 8*z)*(4*z + 2 - 2) as u*z + r*z**2 + s and give u.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -191 + 175 = -4*t for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 4256 and 1729?\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 212692.\nAnswer: 2, 53173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -7, 0.3, -218, 71?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 1.745792l?\nAnswer: 1745.792","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-515*i - 2342*i - 3 + 3 - 3088*i - 316*i)*(4*i + 12 - 12) to s*i + m*i**2 + c and give m.\nAnswer: -25044","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + 5 - (29 - 25).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3\/121 or 1?\nAnswer: -3\/121","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1557 + 7328 = 61*d + 364*d - 19304 for d.\nAnswer: 59","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -23104, -23775, -24894, -26461, -28476, -30939, -33850?\nAnswer: -37209","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3\/134 - 131\/8844. Put d, 2, 2\/9 in increasing order.\nAnswer: d, 2\/9, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 9) to base 11\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 131\/60 and 41\/16312.\nAnswer: 244680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (0 + -2 + 6)\/2. Suppose 8*o - 30 = 3*o. Find the third derivative of 3*h**6 + 0*h**2 - 2*h**o + q*h**2 wrt h.\nAnswer: 120*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*s + 2, 2*s = -3*j + 7*s + 16. Let i be (-21)\/3 - (j + -10). Let p(h) = -h**2 + 3*h + 14. Let k be p(6). Do k and i have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 4*c - 4 + 3)*(-11 - 191 - 364) + (-c - 2*c + 2*c)*(0 + 3 - 2).\nAnswer: 2263*c - 1132","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -7.6 from 13582.232.\nAnswer: 13589.832","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 67 (b) -0.1105828 (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 - ((570 - 570) + (-606)\/610)*(-3 - -2).\nAnswer: 2\/305","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 70 + -35 - (-24 - -57)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 3, -1, -48, 4?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3906*l**5 + 6*l**4 - 4*l + 2151.\nAnswer: 78120*l**3 + 72*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = 5*s**2 - 993*s - 994. Let l be w(-1). Factor 2\/9*k**2 + 0 - 2\/9*k**l + 2\/9*k**3 - 2\/9*k**5 + 0*k.\nAnswer: -2*k**2*(k - 1)*(k + 1)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6)\/45 + 960\/450.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 2 + 4)*(1 + 1 + 88359248*s**3 - 88358740*s**3).\nAnswer: 508*s**3 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 2.10785 - 0.5\nAnswer: 1.60785","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -15 - (-1 + 5 + 13 - 34)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c + 0 = -4*f + 5, 5*c + 15 = 0. Let o(r) = -r**2 + 5. Let j be o(0). Suppose -5*y - 13 = 5*g - 3*g, j*g + 17 = 3*y. Put g, 1, f in ascending order.\nAnswer: g, 1, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f = -4*c + 4, -4*f - c + 28 = 3*c. Suppose 5*k + i = 12897, -5*k + f*k = -4*i + 7745. Is k a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.34105 and -38594.\nAnswer: -38594.34105","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4605 is divided by 149?\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**(-1\/3)*g**(-4\/17)*(g*g*(g*g**(-1\/81)*g)\/g*g)**(2\/129) assuming g is positive.\nAnswer: g**(-90025\/177633)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s - 5*m + m - 173 = 0, 3*s - 5*m = 96. Is s composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0015231 to four dps.\nAnswer: -0.0015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*c + 51*c - 28*c - 180 = 0 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 130555?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 1209582433 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 417 - 318. Suppose q - l = -10. Is q a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -1.4 (b) 5 (c) -2 (d) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y\/y**11*y*y)\/y)\/((y\/(y*y**(-4))*y)\/y) assuming y is positive.\nAnswer: y**(-13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 975*c**3 - 2*c - 114907*c**2 - 1 + 114907*c**2.\nAnswer: 975*c**3 - 2*c - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -23\/198313 and 75\/8.\nAnswer: 1586504","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5.845*1.4376.\nAnswer: 8.402772","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 + 8*b**4 + 1 + 0*b**2 + b**3 + b**2 to the form l*b**4 + i*b + a*b**3 + n + k*b**2 and give l.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1681 or -103?\nAnswer: -103","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 18048803 to the power of 1\/7, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2\/5 - 17\/30. Let p = -0.4 - -0.2. Let q be (18\/40)\/(2\/(-4)*228\/95). What is the smallest value in -1\/8, p, q, m?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of 71421?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 5435 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -u**3 + 6*u**2 - 6*u + 4. Let n be j(5). Let r = 7 + -10. Let s be 1*-1 + (-5)\/(-4). Which is the second biggest value? (a) r (b) n (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -185*b**2 + 8*b - 2. Let n(c) = -370*c**2 + 14*c - 4. Give 4*n(g) - 7*z(g).\nAnswer: -185*g**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 6\/9 - 718\/6. Let x = m - -139. What is the smallest common multiple of 10 and x?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g and 1 o when two letters picked without replacement from fgmfog?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 475 is divided by 40?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 5, z: 7, g: 4, w: 2}. What is prob of picking 2 z, 1 l, and 1 g?\nAnswer: 7\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 9}. Give prob of picking 4 q.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1547 + 2846 = 29*x - 2616. Calculate the greatest common factor of x and 1458.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 491 minutes before 4:59 PM?\nAnswer: 8:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.4 (b) -18.17 (c) 0.5 (d) 0.04 (e) -0.2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -97\/10416 and 43\/19825368?\nAnswer: 277555152","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + 6 = 2. Find the third derivative of -3*c**t + 17*c**2 - 612 + 612 wrt c.\nAnswer: -72*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-4685811)\/(-195) + (-3)\/(-15) + -1 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -4\/3, 2\/9, 5, -1\/4?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*v - 4*j - 2 = 17*v, 5*v - j = -27 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + -8 - -16 - 3 - 6?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = i**2 - 89025*i + 16435406. Give d(185).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is d7 - 185b?\nAnswer: -1774","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-1\/19)\/c*c*c*c*c**(-1\/5)\/c)\/((c\/c**(1\/12))\/(c**(9\/5)*c)) assuming c is positive.\nAnswer: c**(2999\/1140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -3*f**3 - 6*f**2. Let j(m) = 2*m**3 + 5*m**2. Suppose -12*g + 66 - 18 = 0. What is g*j(o) + 3*b(o)?\nAnswer: -o**3 + 2*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((t\/(t*t\/(t**(3\/5)*t))*t)\/t)\/t**(-2\/9))\/((t**(2\/5)\/t)\/t*t)**14)**40 assuming t is positive.\nAnswer: t**(3320\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1043553 - 1060?\nAnswer: -1044643","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -65 + 40 + 26 + 14*w. What is h(-3)?\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 greater than 87\/749?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 8870261 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -18, -78, -224, -498, -942, -1598?\n\"Answer: -7*g**3 - g**2 - 8*g - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1105 and 17459.\nAnswer: 221","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 12590, 24953, 37080, 48971, 60626, 72045, 83228?\n\"Answer: -118*h**2 + 12717*h - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(196)*-2 + sqrt(98)\/sqrt(2)*-4)\/(1*(sqrt(7) + 4*sqrt(700))) + 1.\nAnswer: -8*sqrt(7)\/41 + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 12*a**4 - 89*a**3*f**3 + 3*f**3 + 20*f wrt a?\nAnswer: 48*a**3 - 267*a**2*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*v**5 - 8907*v**4 - 6302322*v**3 + 464426028*v**2 + 953990136*v = 0. What is v?\nAnswer: -1518, -2, 0, 69","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12450 is divided by 22?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.081 - -31.919. Let r = v + -35. Put 1\/2, r, -1\/2 in descending order.\nAnswer: 1\/2, -1\/2, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000122960602 to six decimal places.\nAnswer: -0.000123","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in -0.5, -1, -18, -1\/6, -30?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jjbjjbjbjjbbbbbnjbb. Give prob of picking 2 b and 1 n.\nAnswer: 15\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -d**2 - 5*d - 2. Let r be n(-4). Let t(o) = -o**r + 3*o**2 + 3*o**2 - 3*o**2. Let k(p) = 4*p**2. Determine t(k(w)).\nAnswer: 32*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 73\/5 - 4\/(-10)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = 4*o**3 + 2932*o**2 + 65346*o + 18467. Determine x(-710).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 81544 is divided by 40755?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 201, 153, 97, 27, -63, -179?\nAnswer: -327","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9034.\nAnswer: 2, 4517","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 1\/5 of a century?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 189\/(-532) + 8\/76.\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 61466.27mg in micrograms?\nAnswer: 61466270","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t - 16 = -0. Let q(i) = i**3 + 2*i**2 - 3*i. Let f be q(3). Suppose -104 = -5*w + d, 5*w - f = 4*w + 4*d. What is the lowest common multiple of t and w?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -10\/13 - -85\/26. Let m = -3 + 5. Let q = -4 + m. Which is the nearest to 0? (a) -5 (b) u (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -120, -867, -2896, -6849, -13368, -23095?\n\"Answer: -107*r**3 + r**2 - r - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-144)\/14 - (-12)\/42. What is the remainder when 69 is divided by (-7 + u + 1)*(-1)\/2?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 104 - 17. Let f = 97 - x. Suppose 0 = -f*h + 14*h - 8. Calculate the lowest common multiple of h and 54.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) be the second derivative of p**3 - p. Let y(b) = -4*b + 9. Let h(t) = 2*t - 4. Let s(z) = -9*h(z) - 4*y(z). What is w(s(x))?\nAnswer: -12*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 3 (b) 1 (c) 4 (d) 1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -191\/10620 and -61\/840?\nAnswer: 148680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(4*sqrt(224)*3)\/(sqrt(14)\/(sqrt(7) - (sqrt(14)\/sqrt(2) - sqrt(7))) + 1*sqrt(98)).\nAnswer: 24*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 411426465?\nAnswer: 3, 5, 27428431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 47\/426 + 4\/71. Factor o*a**3 + 1\/6*a**5 + 0*a**2 + 0*a + 0 + 1\/3*a**4.\nAnswer: a**3*(a + 1)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -12.426159 - -8.58578. Let o = f + 3.84. Round o to four dps.\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is c in c**3\/3 - 11197*c**2 + 167930*c\/3 = 0?\nAnswer: 0, 5, 33586","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 4\/10*13260\/4. Calculate the greatest common factor of 78 and i.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 30 and 3994.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 76 and 6023?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand x**3 + 2*x**3 - 2*x**3 + (-3*x + 0*x - x)*(x**2 + x**2 - 4*x**2) + (0*x**2 + 0*x**2 - x**2)*(-4*x + 0*x + 6*x).\nAnswer: 7*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -177 - -186 - (-1 + 12).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Total of -23973.288153 and 40.\nAnswer: -23933.288153","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 177 and 75291.\nAnswer: 4442169","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1210002 + -2121122020?\nAnswer: -2200102022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 139813 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*t + 23*t - 94032 = 0. What is the units digit of t?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -10 + 14. Suppose -4*w - 13 = -3*w + a, 2*a + 44 = -p*w. Let m(i) = -14*i - 7. Let g be m(w). Calculate the highest common factor of g and 17.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 538.459 minus -2?\nAnswer: 540.459","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 653 a factor of 774458?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*b**2 - 2*b**3 + 0*b**2 + (-2*b + b - 2*b)*(-b**2 + 2*b - 2*b) - b**3 + 3*b**3 - b**3 - 28 - 17 + 41 + 20*b**3 + 2*b.\nAnswer: 22*b**3 + 2*b - 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.7 - -1.7. Let n = j + 7. Let s = n - 4. Which is the closest to -1\/3? (a) 0.3 (b) s (c) -6\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-144078)\/(-678205) - 27\/495.\nAnswer: 3\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-8)\/40 + 79\/220. Let g = -2763\/220 + w. Calculate the common denominator of g and 52\/((3 - 1) + -9).\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5*51\/(-1275)*4?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(121) - 1*-1*sqrt(121))\/(sqrt(132)\/(-1*sqrt(12)))*-1.\nAnswer: 2*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor d**2\/2 + 2031*d\/2 - 484785.\nAnswer: (d - 399)*(d + 2430)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 461 divide 45263285?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 15504470?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xssr when four letters picked without replacement from {f: 1, s: 4, y: 1, x: 2, r: 1}.\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3042, 3688, 4376, 5124, 5950, 6872?\nAnswer: 7908","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*p + 104002 - 51998 - 52004.\nAnswer: -5*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 525 and 1155.\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 644 minutes before 10:32 PM?\nAnswer: 11:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s - 4 = -5*s, 0 = 3*f + 4*s - 106. Suppose -32*k + f*k + 2 = 0. Let h be -6 + 2 + k\/6*-7. Is -2 not equal to h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) be the second derivative of 5*n - 17\/42*n**7 + 0 + 17\/6*n**3 + 0*n**4 + 0*n**2 + 0*n**5 + 0*n**6. Find the second derivative of x(v) wrt v.\nAnswer: -340*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.002? (a) -24\/17 (b) -3\/7 (c) -2\/7 (d) -1 (e) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10 + 14 + 14453875*g**2 - 14453951*g**2 - 4 - 2*g**3.\nAnswer: -2*g**3 - 76*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -5474812*h - 3617519 wrt h.\nAnswer: -5474812","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.38 in 0.1, -155, -0.4, 5?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 339 in -1\/5, 4\/7, 3, -2\/3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 50141110 (base 6) to base 8\nAnswer: 5307442","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -35*s**4 - 3 - s - 31*s**4 + 65*s**4 - s**2 - 3*s**3 as u + q*s**4 + y*s**3 + k*s**2 + b*s and give u.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 7246977443 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b + 88 = 2*p + 2*p, 0 = -3*b + p + 125. Suppose 52 = b*w - 44*w. Which is greater: w or -19?\nAnswer: -19","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = 30*u**2 - 28*u**2 + 25 - 25. Let q(r) = 375*r. Determine m(q(c)).\nAnswer: 281250*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.179 + -5.179. Which is the nearest to 2\/3? (a) k (b) 3 (c) 0.5 (d) -0.01\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-20)\/(-6) + (-2)\/6. Is 3 + -1*(-480)\/t composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3395 + -3395. Let w(t) = -t**3 - 5*t**2 - 3*t + 3. Let z be w(-3). Let u be (2\/5)\/(z\/(-30)). Solve 8 = -g*c + u*c for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -64*98895\nAnswer: -6329280","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n = -4*s + 3569, 8*s - 4463 = 3*s - 3*n. Let u = -508 + s. Calculate the smallest common multiple of u and 4.\nAnswer: 384","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:06 AM and 7:00 PM?\nAnswer: 714","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u + 3*a = -18, 2*u + 3*a - 3 + 0 = 0. Suppose -u*i - 11799997 = 2*j, 7*i + 23599996 = -4*j + 3*i. Round j to the nearest one million.\nAnswer: -6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) be the second derivative of -p**4\/24 - 3*p**3\/2 + p**2\/2 + 4*p. Let q(a) be the first derivative of c(a). What is q(-6)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -8*r + 7. What is the units digit of g(-2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -z**2 + 5*z - 4. Let n = -13 + 20. Let s(a) = a - 5. Let q be s(n). Suppose 1 = q*c - 9. What is l(c)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) be the third derivative of -27*h**7\/35 - 53*h**4\/12 + 8*h**2 - 8. What is the second derivative of o(c) wrt c?\nAnswer: -1944*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o + 2*q + 11783 = 0, -4*o - 21*q = -17*q - 47096. Is o composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(72) + -3*-2*sqrt(72) + sqrt(72) + sqrt(72))**2 - (2*(sqrt(242)*2 + sqrt(242) + sqrt(242)))**2.\nAnswer: -9656","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 <= 3\/134627978?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -17353, -34536, -51717, -68896, -86073, -103248?\n\"Answer: l**2 - 17186*l - 168","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 + 3\/6*(-5 - -3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 237 + -235. Suppose -4*j + 1460 = -4*b, 7*j - 1839 = 2*j - x*b. Does 55 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1685?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1142*z**5 + 2*z + 56.\nAnswer: -22840*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -2*s. Let u(x) = 132357*x**2. Determine r(u(l)).\nAnswer: -264714*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1730, 1606, 5, 4.\nAnswer: 4, 5, 1606, 1730","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -894 - -893.9998814. Round k to 5 decimal places.\nAnswer: -0.00012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11 - -101011110100?\nAnswer: 101011110001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1430 - 541. What are the prime factors of j?\nAnswer: 7, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -480 - b + 480.\nAnswer: -b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 17 + -7 + -4 - (3 - (2 - 3))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24*j - 12*j = 0 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 620 minutes before 5:52 AM?\nAnswer: 7:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 47431980 and 190?\nAnswer: 47431980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -b**2 - 7*b - 6. Let x be l(-10). Is (4\/(-6))\/(8\/x) a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -112, -58, -40, -58, -112, -202, -328?\n\"Answer: -18*r**2 + 108*r - 202","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 656, 418, -142, -1156, -2756, -5074, -8242, -12392?\n\"Answer: -22*x**3 - 29*x**2 + 3*x + 704","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + -3*sqrt(76)*2)**2.\nAnswer: 2736","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -b**2 + b + 53. Let x be c(0). Suppose 3*a + 77 - 246 = 2*n, -a + x = -4*n. Suppose -34 = -4*y + 26. What is the remainder when a is divided by y?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b - 15 = 0, -1629 = 3*n + 8*b - 3*b. Let s = 1404 + n. Round s to the nearest 100.\nAnswer: 900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -0.3 (b) 27.2 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/21*(-59)\/((-90801)\/567)\nAnswer: -2\/57","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 105804 and 11.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*l + l + 0*l)*(-3*l**4 + 5*l**4 - l**4) - l + l + l**5.\nAnswer: 2*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/2? (a) -56 (b) 0.4 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-21)\/12)\/(238\/(-204)).\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1107245.\nAnswer: 5, 71, 3119","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -z**2 + 6*z - 6. Let j be n(4). Suppose 90 = 5*i + 3*m, -j = -i + 2*m + 16. What is the smallest common multiple of i and (4\/3)\/((-3)\/(-45))?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*v**4\/4 + 7221*v**3\/4 + 10571661*v**2\/4 + 3119624691*v\/4 - 3140796873\/2 = 0. What is v?\nAnswer: -547, 2, 3499","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 22541391.\nAnswer: 3, 19, 61, 2161","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1.98 - -1.068. Let w = k - 0.088. What is the fourth biggest value in w, -4\/7, 4, 1\/10?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -28935*b**2 - 28932*b**2 - 28811*b**2 + 86678*b**2 + 38*b**3 - 3*b**3.\nAnswer: 35*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 3 + -566a?\nAnswer: -5667","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 195\/90 + 2\/(-12). Let m = 21 + -41\/2. Let k = 1 + -1. Put k, m, n in increasing order.\nAnswer: k, m, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -115, -131, -159, -199?\nAnswer: -251","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h - 3*h - 3*n - 5 = 0, 0 = 5*h - 3*n - 29. Let c(x) = -23 + h*x + 18 - 3*x - x**2. Suppose -k = -0*k. Determine c(k).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(121) + (sqrt(121)*-2 - sqrt(121)) + sqrt(121))\/sqrt(11) + -5.\nAnswer: -5 - sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 29*v - 180754 = -180029 for v.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -206057*f**2*g*w**2 - 43010965*f**2*w - 325*g*w + 5*w**2 wrt g?\nAnswer: -206057*f**2*w**2 - 325*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -34285266 divided by 3.\nAnswer: -11428422","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (7\/(-28))\/(58\/((-513648)\/(-41))).\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*z**4 - 2*z**4 - 4*z**4)*(263 - 48 + 272) + (z**2 - 1 + 1)*((4 - 4 - 3)*(6*z**2 - 2*z**2 - 2*z**2) + 24 - 24 + 7*z**2).\nAnswer: -486*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -15 + 14.5. What is the smallest value in q, -5, -2?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 32 and 688?\nAnswer: 1376","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 40\/(-25) - (-35)\/(-25).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n - 5*y = -52, n - 4 = 4*y - 15. What is the second derivative of -11*j - 8*j**2 + 12*j - n*j wrt j?\nAnswer: -16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 495*n - 479*n = 16. Calculate the highest common factor of n and 241.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 13524\/5635*(-55)\/3\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 2 (base 15) to base 9\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*f**3\/17 + 444*f**2\/17 + 4290*f\/17 + 10600\/17 = 0.\nAnswer: -212, -5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = 3*w**3 + 2*w - 4. Let i be h(2). Which is the third smallest value? (a) i (b) 4 (c) -0.1 (d) -1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14472107189 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.01 + 0.04. Let k = 0.07 + f. What is the closest to -1\/2 in -0.1, -4, k?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-21)*o\/o**(3\/23))**(-1\/27) assuming o is positive.\nAnswer: o**(463\/621)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 9818000 to the nearest 1000000.\nAnswer: 10000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 8556931 to the power of 1\/2, to the nearest integer?\nAnswer: 2925","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -382*j - 287 = -364*j - 35 for j.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (x**2 - 2*x**2 - x**2)*(-5*x - x + 5*x) - 4*x**2 + 4*x**2 + 2*x**3 - x**3 + 5*x**3 - 3*x**3 + 4*x**3 + 0*x**3 - 2*x**3 - 5*x**3 + 11*x**3 + 10*x**3.\nAnswer: 23*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 1594 a multiple of 45?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = a**2 - 25*a + 48. Let b be r(23). Is 23 a factor of b\/(-8) + 27244\/112?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = 2*l**2 - 8*l + 10. Suppose -4*u + m = -20, -m = 4*u + 2 - 14. Let o be b(u). Does 7 divide -1 - (-5)\/(o\/16)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 - (24 + -40) - -8\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 4c8 - -3?\nAnswer: 4cb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 552129 is divided by 995.\nAnswer: 899","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -13*h + 15*h - 2. Is h greater than 5\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 25 + -26. Find the common denominator of k\/27*(-2145)\/26 and 47\/12.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 99 and 21?\nAnswer: 693","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000494865 rounded to 7 dps?\nAnswer: 0.0000049","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/4 of a litre in millilitres?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -77 - -72. Let b(w) = 2*w**2 + 4*w + 4. Let o(q) = 2*q**2 + 5*q + 5. Give j*b(f) + 4*o(f).\nAnswer: -2*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -21*g + 28*g - 700. Suppose 7*s = -13*s + g. Calculate the greatest common factor of s and 25.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 2, m: 10, a: 1, d: 3}. What is prob of picking 1 f and 2 d?\nAnswer: 3\/280","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -f**3 + 14*f**2 + 8. Let i be x(14). Let p = 12 - i. Solve p*h - 2 = 6 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -5929*z**6 + 20*z**2 + 69*z - 4?\nAnswer: -711480*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 77.45586 nanograms in kilograms?\nAnswer: 0.00000000007745586","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -266 + 1093\/4. Let j(a) = a**2 - 17*a - 12. Let x be 12*1\/((-8)\/(-12)). Let b be j(x). Which is bigger: b or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y - 2*k = -20, 0 = -2*k + 5 - 3. Suppose 5*z = 2*z + y. What is the units digit of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-30)\/(-7))\/(26605\/(-21284))\nAnswer: -24\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 581 minutes before 12:50 PM?\nAnswer: 3:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -33.2950247 to 1 decimal place.\nAnswer: -33.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in six fifths of a minute?\nAnswer: 72","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 81583 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((4*(-2)\/(-7))\/((-260)\/(-182)))\/(543\/1086).\nAnswer: 8\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i - 3*b = -9, -i + 4*i - 2*b + 7 = 0. Let u be ((-10)\/14 - i)\/2. What is the nearest to 0.1 in 2\/13, -2\/3, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (16\/88)\/(-2 + 3). Which is the third smallest value? (a) -2 (b) l (c) 3\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 0 + 0 + 0 + 0. Suppose -6 - 14 = 5*w + 4*y, r = -w - y - 4. Let g be 2\/w + 9\/6. Sort g, 0, -1 in increasing order.\nAnswer: -1, 0, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 divided by -117343\nAnswer: -1\/117343","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*x + l - 966, -171*x + 173*x = 2*l + 644. Solve 4*g = 342 - x for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -353880 rounded to the nearest 1000?\nAnswer: -354000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -v**3 + v - 4*v**2 - 4*v**2 - 99 - v + 106. Calculate i(-8).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(1\/2))**48*r**(-11)*r*r\/(r\/r**(2\/3)) assuming r is positive.\nAnswer: r**(44\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -2*z**2. Suppose c - 34 = -4*r - 86, -5*r - 3*c = 72. Let d = r - -12. Let q(t) = t + 2*t + d*t - 5*t. Calculate q(y(p)).\nAnswer: 4*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.5 * 28157803.\nAnswer: 14078901.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 88 divide 3797376?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 7 + -4. Let y = i + 0. Let z(n) = 2*n + 12 - 16 - n. Calculate z(y).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g + 15*f - 3705 = 10*f, -4*g + 2970 = 5*f. What are the prime factors of g?\nAnswer: 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (7416\/(-60))\/(1\/(-5)). Let k = 944 - r. Is k a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 392 and (-7956)\/(-27) + 3\/(-9)*2.\nAnswer: 1176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 5 (b) 704 (c) 0 (d) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 + 1 - 28)*(-8 + 1 - 3)*(-2*n - 3*n + 3*n) to y + r*n and give r.\nAnswer: -560","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4882.597 micrometers to centimeters.\nAnswer: 0.4882597","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (8 - 0) + -7 + 0 + 3.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.02955841 to 4 dps.\nAnswer: 0.0296","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17 = q - 2*q. Suppose i - q = u - 7, 0 = 4*u - 12. Solve -5*v - a = 13, v + 2*v = 2*a - i for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -4373735 + -1434?\nAnswer: -4375371","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 77916711?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) be the second derivative of -2363*x**5\/20 - 7*x**4\/4 + 77*x**3\/6 - 5*x - 101. What is the third derivative of c(p) wrt p?\nAnswer: -14178","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -13.8 + -1.2. Let n = m + 14.99999954. 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: What is the closest to -61 in -1, -231, -2, 1\/5?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 5314253, 5314251, 5314249, 5314247?\n\"Answer: -2*k + 5314255","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = 6*g + 6. Let x(i) = -30*i - 30. Let h(y) = 24*a(y) + 5*x(y). Suppose 3*o + 2*n + 8 = 0, -6*o + 3*n = -2*o + 39. What is the tens digit of h(o)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -2*x. Let z(m) = 4*m - 25. Let n(l) = 6*p(l) + z(l). What are the prime factors of n(-5)?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-3)\/21)\/(16\/(-672))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -272985 divided by -12.\nAnswer: 90995\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 20 + 6?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a - 162000000 = a. What is a rounded to the nearest 1000000?\nAnswer: -27000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 65852*t**4 - 155*t**3 - 67*t**2 - t + 515 wrt t.\nAnswer: 1580448*t - 930","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -15*a**2. Let t(u) = 14*u**2 + 5. Let y(o) = 8 + 4*o - 4*o - 13 + 2 - 8*o**2. Let z(m) = 3*t(m) + 5*y(m). What is f(z(j))?\nAnswer: -60*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -65*a**2 + 10*a. Let w(q) = 13*q**2 - 2*q. Let d(p) = 2*n(p) + 11*w(p). Does 12 divide d(2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = c**3 - 9*c**2 + 23*c + 3. Let g be l(6). Suppose -u + 11 = -g. What is the tens digit of u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 6045, 6152, 6265, 6390, 6533, 6700, 6897?\nAnswer: 7130","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*n**3 - 68952*n**2 + 297079680*n + 594435200 = 0 for n.\nAnswer: -2, 8620","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1\/2 (b) 4 (c) -211730\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = 9*h**3 - 2*h**2 + 1. Suppose -7 - 11 = 3*a. Let g = -5 - a. Let m be j(g). Solve -2*c - 2*q + 4 = 10, -m = 5*c - 2*q for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p and 1 h when two letters picked without replacement from cpcccpccchchccp.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -43, -66, -5, 224, 705, 1522, 2759, 4500?\nAnswer: 6829","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -884 + 887. Is 3\/14 greater than or equal to n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1.5, 7, 0.3, -4, -1?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -206, 2\/15, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 9\/30 - (8 + (-3108)\/40). Let c be 0\/((-5)\/(10\/8)). Suppose -1 = z - c, 4*z + 88 = 3*t. Calculate the highest common divisor of d and t.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 254255, 508508, 762761, 1017014, 1271267?\nAnswer: 1525520","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -4.056 + 3.756. What is the nearest to 19.8 in -2, 3, v?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 15 + h - 3*h**2 - h - 16 wrt h?\nAnswer: -6*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) be the first derivative of -h**6\/30 - h**3\/6 - h**2\/2 - 1. Let n(g) be the second derivative of z(g). Find the first derivative of n(t) wrt t.\nAnswer: -12*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r - 4*r + 8 = -4*s, -s + 4*r - 2 = 0. Let c = s - -6. What is the lowest common multiple of 9 and c - 12\/4 - 0?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5 + -4 + -3 + 7 + -2\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.0488562449 + -3675.\nAnswer: -3674.9511437551","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -196 + 200. Suppose 3*f + x = 11, m*f = 2*x - 7*x + 33. Solve 3*a + 10 = f*j, a = 2*j - 11 + 1 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -2*j**2 + 2*j + 8. Calculate r(0).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -12*t + 318. Let f be g(27). Let c(z) = -z**3 - 9*z**2 - 20*z - 18. Calculate c(f).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5 + 5 + j)*(-5*j - j + 5*j) + (-75 + 75 + 7*j)*(2*j + 4*j - 5*j) to the form c*j**2 + t + y*j and give y.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*q**2 + 80*q.\nAnswer: -2*q*(q - 40)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -3*r - 6. Determine j(-4).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -3*n - 16 + 2*n + 44 - 4*n. Let v be s(5). Solve z = 4*z - v for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (-5*(-1 + 1*sqrt(147) - sqrt(147))*-5*4*-6)**2 + 5.\nAnswer: 360008","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n + 18 + 7 = 0. Let m = -0.04 + 3.04. Which is the nearest to -1? (a) m (b) n (c) 2\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 38\/(-304) + (-9042)\/(-16)?\nAnswer: 5, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**(4\/17)*r\/r**(-2\/23)*r assuming r is positive.\nAnswer: r**(908\/391)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 58*g**2 - 233*g**2 + 51*g**2 + 62*g**2 + 60*g**2.\nAnswer: -2*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.8 + 0.78. Let q = n + 5.02. Sort -2\/15, q, -2 in increasing order.\nAnswer: -2, -2\/15, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -b**2 + 20*b + 2. Let j be q(20). Solve -14 = 3*c - j for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -5502, -5495, -5482, -5463, -5438, -5407, -5370?\n\"Answer: 3*k**2 - 2*k - 5503","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o*o**4*o*o*o\/(o\/(o*o**(2\/7))))**(-6) assuming o is positive.\nAnswer: o**(-348\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -2763.671674 rounded to zero dps?\nAnswer: -2764","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d = -6*s + s - 16, -d = -5*s - 18. Let t(l) = -54*l**3 - 3*l**2 - 4*l - 1. Let f be t(d). Suppose 2*h + 452 = -2*z + 4*z, f = 2*z + 3*h. Is z prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 29 a factor of 557664044?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 11804 and 109642.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 19 + -21 + 13 + (-58 - (14 + -6))?\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:45 PM and 4:54 AM?\nAnswer: 429","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -4*g - 27. Let v be r(-7). Which is the second biggest value? (a) v (b) -6 (c) -1 (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -5 - 20*s - 6 + 1 + 7. Is l(-4) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -12020213 + 31?\nAnswer: -12020122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express 8*l - 3556*l**2 - l**3 - 1 + 3558*l**2 + 3*l**3 in the form k*l + o*l**2 + t + z*l**3 and give o.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.2 - -0.5. Let k = -29 + 89\/3. Let p = -4 - -3. Which is the second smallest value? (a) k (b) o (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -13709002, -13708995, -13708984, -13708969?\n\"Answer: 2*n**2 + n - 13709005","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a + 8 = 5*d, 4 = -2*a + 4*d - 0. Suppose -2*n + 15 = 11. What is the third derivative of m**4 - 3*m**4 - 3*m**a - m**2 + 2*m**n wrt m?\nAnswer: -48*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 3\/10 of a second?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9020.348*0.3.\nAnswer: 2706.1044","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:32 AM and 6:03 AM?\nAnswer: 91","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Work out -137.271 - 1.\nAnswer: -138.271","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = n + 2, -2*z = 3*z - n - 57. Let r(p) = 3*p - 1 + z + 7. Let v be r(-6). Which is the third smallest value? (a) -5\/2 (b) -5 (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.001778 to four dps.\nAnswer: 0.0018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -13843, -129952, -445105, -1058824, -2070631, -3580048?\n\"Answer: -16587*x**3 + 2744","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve g - 37 = -8*l + 10*l, 0 = -5*l - 5*g - 115 for l.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.036, -0.328, -78\/11, -2.5, -1\/7, 5?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) be the third derivative of 1\/105*c**7 + 1\/336*c**8 + 1\/24*c**4 - 1\/15*c**5 + 7*c**2 + 0*c - 1\/60*c**6 + 0 + 1\/3*c**3. Solve k(j) = 0.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = i**2 - 11*i - 38. Let q be g(-3). Suppose -c + 2 = -2*j, -3*c + 3 + 19 = -2*j. Let 2*k + c*k**q + k + 25*k**5 - 3*k = 0. What is k?\nAnswer: -2\/5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = 6*u**2 + 7*u - 4. Let v(l) = -7*l**2 - 8*l + 5. Give 6*j(g) + 5*v(g).\nAnswer: g**2 + 2*g + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -8.9721815 to 1 dp.\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 22974 and 55956.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 0.0326, -0.4, 0.06 in decreasing order.\nAnswer: 4, 0.06, 0.0326, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -6215, -6606, -6997, -7388, -7779?\nAnswer: -8170","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 s and 1 k when four letters picked without replacement from {i: 2, k: 5, s: 7, e: 5}.\nAnswer: 175\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -21*a**3 - 253*a**2 + 25*a + 546. Calculate u(-12).\nAnswer: 102","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1311234?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2\/977 or 0?\nAnswer: 2\/977","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide -96 by 48.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a millisecond in microseconds?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 11328?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 414 - 410. Solve 0 = f*u - 10 + 18 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 45\/2, 0, 113\/3 in ascending order.\nAnswer: 0, 45\/2, 113\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2*-7011.\nAnswer: -14022","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.2, 1, 1626889 in increasing order.\nAnswer: 0.2, 1, 1626889","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p = -3*r - 1, -3*p - 31 = 3*r + 2*p. Let n be r*(-2 + 5\/2). Let b = 11 - n. Solve 0 = -0*y + 4*y + b for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) be the third derivative of j**5\/20 + 7*j**4\/4 - j**3\/6 - 2*j**2 + 9. Let k be y(-14). Is -2\/89 greater than k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -315 times -66\nAnswer: 20790","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -5 - -20945?\nAnswer: 20940","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 44\/7 + 12\/(-42). Suppose 5*n = 7 + 3. Let j(v) = v + 4 + n - 2. Give j(a).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9649713*g + 9649657*g - 5656 = 0 for g.\nAnswer: -101","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -14844916 divided by 4.\nAnswer: -3711229","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -6 - -124?\nAnswer: 118","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (21\/21)\/(6\/(-90)).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2.8 + 2.79973. Round u to 5 decimal places.\nAnswer: -0.00027","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g**5 + 297*g**4 + 609*g**3 - 297*g**2 - 606*g = 0. Calculate g.\nAnswer: -2, -1, 0, 1, 101","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a year in months?\nAnswer: 3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 14.3 + -11.3. Let v = -28.965 - -29. Let m = 0.015 + v. Which is the fourth biggest value? (a) 0.5 (b) l (c) -4 (d) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3666735, 3666705, 3666675, 3666645, 3666615, 3666585?\nAnswer: 3666555","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 298 minutes after 7:32 AM?\nAnswer: 12:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 83 + -55. Let c be 0 + -1 + p + 0. Calculate the greatest common factor of 18 and c.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = 9*r**3 + 2*r + 8*r**3 + 1 - 5*r**3. Let n be (-486)\/(-48) + -2*(-2)\/(-32). Suppose 16 = -6*j + n. Determine g(j).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(2*sqrt(204))\/sqrt(12) - (sqrt(153)*-1*-5)\/sqrt(9))**2 - ((-2*sqrt(170)*1)\/(sqrt(10) - (sqrt(10) + sqrt(40))*5) + 2)**2.\nAnswer: -4*sqrt(17)\/7 + 100580\/49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 50 + -25. Suppose -m = n + 4*n. Suppose 4*p = 7*p + 12. Let t(s) = 3*s + 6. Let k(c) = -2*c - 5. What is n*k(j) + p*t(j)?\nAnswer: -2*j + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 26\/39 - (-5)\/(-3)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 36*u**2 - 23*u**2 + 2007 - 12*u**2 + 654.\nAnswer: u**2 + 2661","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 13*k - 2993*k**2 - 21*k + 6*k + 2*k to n*k**2 + b*k + o and give n.\nAnswer: -2993","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00017936 to five decimal places.\nAnswer: -0.00018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4? (a) -1\/21 (b) 0.2 (c) -1\/5 (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 767.5667 to one dp.\nAnswer: 767.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 12 and 1686008.\nAnswer: 5058024","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1672 and 5928?\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is bb5014 (base 13) in base 14?\nAnswer: 82accc","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4\/28)\/(1343\/1106).\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -3 (base 10) to base 16\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*n**3 - 1\/7*n**4 + 4*n + 0 + 1\/7*n**2 = 0. What is n?\nAnswer: -28, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = n**3 + 87*n**2 - 145*n + 75. What is the tens digit of p(-88)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 115790?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 0.8 * -7.89419\nAnswer: -6.315352","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -19\/10 and -36\/115.\nAnswer: 230","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -k - 2*t - 5, -215*t + 212*t = -k + 5 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 113bc7 (base 13) to base 3.\nAnswer: 202202022102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -3*z - 4. Let t be j(-2). Let g be (-1 - (-3)\/4)\/(t\/(-24)). Solve 20*p = 21*p + g for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((g\/(g*g\/(g\/(g\/g**(1\/10)))))\/g)\/(g*(g*g**11\/g*g*g*g)\/g))\/((g**(-10)*g)\/g*g*g**(-6\/7)) assuming g is positive.\nAnswer: g**(-423\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bcb when three letters picked without replacement from ccccbcccccbccccccccc?\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 56433 and 3472800?\nAnswer: 4341","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -5.1 + -28.9. Let j = -778.891064 - -744.891. Let n = k - j. Round n to five dps.\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:49 AM and 8:23 AM?\nAnswer: 154","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 1267, 1305, 1345, 1387, 1431, 1477?\n\"Answer: z**2 + 35*z + 1231","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((v**1*v)**7*v**(-8)*v*v\/v**(5\/4))**(-11\/2))**(-1\/37) assuming v is positive.\nAnswer: v**(297\/296)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3100*c + 23.\nAnswer: -3100","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -9 + 3 + 0 + 20 + (-202)\/12\nAnswer: -17\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*x**2 + 0 - 4 - 181*x**3 + 4.\nAnswer: -181*x**3 + 7*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 741\/1739 equal to -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*j + 0*j - 2*j)*(-70 + 138 - 44) + (-2 + 5 - 1)*(-5*j + 5*j + 2*j).\nAnswer: -92*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5403*o + 2427 - 13053 = 5265*o for o.\nAnswer: 77","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 160 minutes before 6:41 AM?\nAnswer: 4:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 34 - 78. Let d = 47 + m. What is the derivative of -15*t**d - 999*t + 999*t - 9 wrt t?\nAnswer: -45*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 5.1 + -5. Let i = p - 4.1. Which is greater: 1\/4 or i?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -989 - b + 3*b**2 - 6*b + 986 as t + u*b + j*b**2 and give j.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 11 and 83479.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 u and 1 a when three letters picked without replacement from {a: 3, u: 8}?\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 243 + -233. What is the highest common divisor of i and 530?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1.136826 - -1.1542. What is v rounded to four dps?\nAnswer: 0.0174","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 66252722.\nAnswer: 2, 907, 36523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from llflllfllll. Give prob of picking 1 f and 1 l.\nAnswer: 18\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a litre in millilitres?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**22\/o)\/o)\/(o\/(o\/o**(10\/7))) assuming o is positive.\nAnswer: o**(130\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 7*y**4 + 26*y**3 + 55*y**2 + 13734?\nAnswer: 28*y**3 + 78*y**2 + 110*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -6 - -1. Let u be (6 + o)\/((-1)\/(-2)). Let r be (-5 - u\/(-1)) + 63. Calculate the greatest common factor of 12 and r.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -3*p + 3. Let l be h(0). Solve s - 1 = l for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 27 and 243.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -10 - 3121300?\nAnswer: -3121310","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -46 + 6*m**2 + 41 - 3*m**2 + 3*m - 2*m**2. Let p be (11 + 1)*5\/15. What is k(p)?\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 96443000 rounded to the nearest 100000?\nAnswer: 96400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) be the third derivative of 8389*y**8\/336 + y**4\/12 - 131*y**3\/3 + 2*y**2 + 194*y + 1. What is the second derivative of c(b) wrt b?\nAnswer: 167780*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 282613 to the nearest integer?\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8, 8, 4, -5238 in increasing order.\nAnswer: -5238, -8, 4, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y - 28 = -2*y. Suppose y = -2*f - 115. Let g = f - -175. Is g a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3910 + 50829\/13. What is the nearest to 2 in u, -6.1, -0.4, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -81714 - 0.2836926.\nAnswer: -81714.2836926","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -71\/12 and 1\/33.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 23526905 divided by 5?\nAnswer: 4705381","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.05 + 0. Let p = 0.15 + g. Sort -0.3, 2\/9, p in increasing order.\nAnswer: -0.3, p, 2\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = 4*f**2 + 3*f - 17. Let q be x(5). Suppose -q + 78 = -4*o. Solve -3*a + o*a + 8 = 0 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00052860353 to five dps.\nAnswer: -0.00053","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 22 (base 5) to base 14\nAnswer: c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -5*y**3 + 50*y**2 + 22. Let o be i(10). Solve 4*x = 2*n + o, -3*n + 8*n = -3*x + 10 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, -1, -34 in increasing order.\nAnswer: -34, -6, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in thirty-one fifths of a tonne?\nAnswer: 6200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.3, -3, -34?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1483 and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -925 - -391. Let b = 721 + g. List the prime factors of b.\nAnswer: 11, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -113*d - 3386. Determine s(-30).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -26 - -44. Let c = t - -11. Suppose 0 = -c*r + 31*r - 32. Calculate the smallest common multiple of 18 and r.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2590?\nAnswer: 2, 5, 7, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange k**3 + 4*k**2 + k**2 - 3*k**2 - 2*k - 6 - 50*k**4 + 52*k**4 to b*k + p*k**2 + f*k**4 + l + v*k**3 and give b.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 9, 0, 5, -3, 19 in decreasing order.\nAnswer: 19, 9, 5, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.52 minus 5729224?\nAnswer: -5729223.48","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 196\/42 - ((-2)\/6 + 1). Let h(c) = 10*c**2 + 2*c + 9. Is h(n) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1560 = -5*n - 5*y + 2775, -y = 4*n - 3453. Let k = n + 9. What are the prime factors of k?\nAnswer: 13, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 122 >= 108?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 14 + -14.05. Let u = -0.050005 - c. Round u to five dps.\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z\/(z*z*z\/z**(4\/11))*z**(-1\/11) assuming z is positive.\nAnswer: z**(-19\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -21\/16 and 65\/1227?\nAnswer: 19632","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 13*y + 3*y - 7*y + 63 for y.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2579503\/4 or -644877?\nAnswer: -644877","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -s**2. Let t(o) = 23*o**2 + 17*o + 18. Let f(r) = 8*r**2 + 6*r + 6. Let j(v) = -17*f(v) + 6*t(v). Give j(w(l)).\nAnswer: 2*l**4 + 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 6\/18 - 2\/6. Suppose 3*h - 9 = 2*h + 4*b, d = 5*h + 4*b - 21. Let n = 15 + -10. What is the highest common factor of h and n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 91 divide 3803072?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 51\/2 of a kilogram in grams?\nAnswer: 25500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*s = 5*s + 4. Let t = 8 + s. List the prime factors of (-15)\/2*t*-2.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 22, 36, 76, 154, 282, 472, 736?\n\"Answer: 2*v**3 + v**2 - 3*v + 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 4, -7597, 1, -3, -4 in descending order.\nAnswer: 4, 3, 1, -3, -4, -7597","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3*a**6*w + 29*a**4 - 40075*a**3*w + 120*a**2*w - 15*a**2 + 9*w + 1 wrt a.\nAnswer: -360*a**3*w + 696*a - 240450*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) -0.5 (b) -1 (c) -3\/7 (d) 0 (e) 1\/270 (f) 2 (g) -1\/9\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1163*v**6 - 3*v**4 + 85*v**3 + 117648659*v**2 wrt v?\nAnswer: -139560*v**3 - 72*v + 510","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k + 5*k = 0. Let b be (-45)\/(-12) - (-2)\/8. Solve k + 1\/3*u**b - 1\/3*u**2 + 1\/3*u**3 - 1\/3*u = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -2*m**3 - 36*m**2 + 25*m + 13. List the prime factors of n(-19).\nAnswer: 2, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = g - 12. Let w(u) = u**3 - u + 13. Let o be w(0). Let p = o - 8. Give h(p).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -77 at most as big as -76?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -a70 (base 11) to base 16\nAnswer: -507","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) be the first derivative of -h**5\/60 - 6*h**2 + 11. Let x(y) be the second derivative of m(y). Let d(i) = i**2. Determine d(x(j)).\nAnswer: j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -3\/106 and 63\/3074.\nAnswer: 3074","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 2034 * -15.354\nAnswer: -31230.036","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q + 0*q = 0. Let m = -1 + q. Let l be 0 + m\/((-1)\/15). Calculate the greatest common factor of 15 and l.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine r, given that -5*r**4 + 178390*r**3 + 1427360*r**2 + 2854880*r = 0.\nAnswer: -4, 0, 35686","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*b - 95 = -0*b, -67*b - 1293 = 2*z + 2*z for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -66*w**2 + 5*w - 6. Let r(y) = -66*y**2 + 6*y - 7. Let i(q) = -6*h(q) + 5*r(q). Is i(-1) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k = -30 - 70. Let f be (3\/(-1))\/(-19 + k). Let n = 5 + f. Which is greater: 5\/3 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = s**2 + 7*s - 26. Let p be f(-10). Let u be 2*(-48)\/(-40)*5\/p. Solve 0 = -u*a + 3*h - 11 + 2, 4*h - 2 = 2*a for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = 2*t + 33. Let m be o(-10). Suppose -269 + m = -2*a. What are the prime factors of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 9205 - 6164. What is the units digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 752*b*m - 43891*b + 18807485*m wrt b.\nAnswer: 752*m - 43891","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = 6*w**2 - 6*w - 36. Let j be c(-4). Let z be (-27)\/12 + 105\/j. Put z, -2, 6 in decreasing order.\nAnswer: 6, z, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(2)*-1 + sqrt(2) - (sqrt(2) - sqrt(22)\/(sqrt(11) + sqrt(44)\/sqrt(4))))**2 - (sqrt(192)\/sqrt(6) - sqrt(32)).\nAnswer: 49\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + 3*x = -21, 3*a - x - 14 = -0*x. Solve -19*h + 18 - 20*h**2 + 18*h + 2*h**4 + 16*h**a - 15*h = 0.\nAnswer: -9, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) be the third derivative of 0*z + 0*z**3 - 1\/10*z**7 + 20*z**2 + 0*z**5 + 7\/24*z**4 + 0 + 0*z**6. Find the second derivative of i(o) wrt o.\nAnswer: -252*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 156 and 158 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 42*m + 1827 - 28*m - 1827.\nAnswer: 14*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((s*s**(1\/3))\/s*s)\/s)\/s**(2\/13) assuming s is positive.\nAnswer: s**(7\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1815*r - 10 = 1817*r for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 5147 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-2)\/(-6) + 4\/(-18). Let c(t) be the first derivative of -m*t**3 - 1\/3*t + 1 + 1\/3*t**2. Factor c(y).\nAnswer: -(y - 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1\/4*c**2 + 0 - 3\/4*c.\nAnswer: -c*(c + 3)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(231)\/(sqrt(7)*-5))\/sqrt(3).\nAnswer: -sqrt(11)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6197 is divided by 8.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k = -y - 0 + 32, 0 = 5*k + 2*y - 80. Suppose 4*h = -4 - k, p + 5*h + 15 = 0. Suppose 64 = 5*x - 46. Calculate the lowest common multiple of p and x.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2503883434?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 - (-670)\/(-1139)*119?\nAnswer: -73","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.3, 11\/9, 0, 184\/9?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 942.2744 decades to centuries.\nAnswer: 94.22744","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 60 - 20. What is the units digit of p?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 17745?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -740 (b) -0.3 (c) -3 (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*a = 52 + 11. Let w be (-3 + (3 - 0))\/(-2). Solve 5*c - a*c - 8 = w for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 116 + -104 - (2 - -2).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 235*x - 14 + 16 - 2.\nAnswer: 235*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -35154 + -9488?\nAnswer: -44642","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2462 - 2463. Which is the closest to -0.1? (a) 8 (b) l (c) -1\/3 (d) 0.9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 3, r: 1, k: 3, b: 1, n: 2}. What is prob of picking 1 b, 1 n, and 1 t?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0086844 to 3 decimal places.\nAnswer: -0.009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 9 + -7. Let u(a) = -t*a + 3*a - a - 3*a. Let m(d) = 2*d**2. Determine u(m(w)).\nAnswer: -6*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*a**2*o**4*x**2 - 4*a**2*o**2*x - 2*a**2*o**2 - 13*a**2 + 23*a*o**4*x - 2*o**2*x**2 wrt o?\nAnswer: -48*a**2*o*x**2 + 552*a*o*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l and 1 q when two letters picked without replacement from {l: 8, y: 1, n: 7, q: 2}.\nAnswer: 16\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 77 + -54. Suppose -2*a + 2*d = -0*a + 10, t = -4*a + d. Let w be a\/((-2 - 0)*1). Solve -4*p + w = -p for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 + 2 + 1 + 6 + 3?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) be the third derivative of -1\/12*r**5 + 0*r**3 + 0*r**4 - r**2 + 0 + 0*r. Let c(d) = 2*d**2. Determine c(a(z)).\nAnswer: 50*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1*2\/4*-4. Let m(b) = -6*b - 5. What are the prime factors of m(y)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = 130*h + 2485. Let i(t) = -93*t - 1656. Calculate 7*i(b) + 5*k(b).\nAnswer: -b + 833","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide -13 by -13.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 44 - 41. Let n(f) be the third derivative of 0*f + 1\/8*f**4 + 0 + f**2 - 1\/3*f**3. Calculate n(d).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 (base 6) in base 12?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -35933, -35410, -34887, -34364?\nAnswer: -33841","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -27\/5? (a) 0.1 (b) -0.1 (c) -2\/5 (d) 1\/4 (e) 3 (f) -1\/11060\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 226 + -212. Let r = 2564.79546 + -2550.7954531. Let y = l - r. Round y to 6 dps.\nAnswer: -0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.02916056 rounded to 4 decimal places?\nAnswer: -0.0292","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*d - 13 = 3*g, 6 = -3*d + 5*g - 4 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y - 171 = 2*y - 2*a, 0 = 5*y - 5*a + 180. Let p = -3 + 51. Let k = p + y. What is the units digit of k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = y**2 - 10*y + 11. Let v be f(9). Suppose -3*u - 3 = 18. Let a = 7 + u. Solve v*t = -a*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 13\/5 of a meter?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -88 at least -1160\/13?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 155 minutes after 10:59 AM?\nAnswer: 1:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -50*h**3 + 2*h**2 - 4*h + 2. Let i be m(1). Let r be (i\/4)\/((-9)\/(-54)). Is r smaller than -74?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2177*c + 5016*c - 2285*c + (0 - 2 + 3)*(3*c + 0*c - c) - 4 + 0 + 3 - c + (3 + 2 - 4)*(-c - c + 0*c) + 5*c + 4*c - 4*c.\nAnswer: 558*c - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*o + 45 = 411*y - 410*y, 7*o - 6*y + y = -193 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (16\/(-44))\/((-44)\/1452).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine y, given that 0 + 2\/5*y**3 + 96\/5*y + 32\/5*y**2 = 0.\nAnswer: -12, -4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 38554, 38550, 38544, 38536, 38526, 38514?\n\"Answer: -s**2 - s + 38556","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 44 at least 7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) be the first derivative of 6*r**2 - 115*r + 28. Let m be o(10). Solve -d = l - 5*l + 2, -m*l - 2*d = 4 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 68, 67, 66?\nAnswer: 65","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -2121011110012 (base 3) to base 16\nAnswer: -1512bf","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -f = 2*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*f + 3*y = -12, -2*y + 12 = -f + 4*f for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -5c8 + -115?\nAnswer: -6dd","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29*o - 672 = 23*o. Calculate the remainder when o is divided by 25.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10907 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor b**2\/2 - 34049*b + 1159334401\/2.\nAnswer: (b - 34049)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = g**2 - 9*g + 4. Let p be m(9). Let y(l) = 2*l**3 - 3*l**2 - l + 9. List the prime factors of y(p).\nAnswer: 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-28980)\/(-2254))\/((-48)\/(-56))?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**4\/f**7)\/(f\/f**8*f*f**(-2\/3)))\/((f**0)**(-4\/9)*(f**(1\/5))**(-4\/7)) assuming f is positive.\nAnswer: f**(397\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 l when two letters picked without replacement from {o: 1, l: 3, s: 1}?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = c**2 + 4*c - 5. Let j be t(-6). Let n(a) = -6 - a**3 - 2*a + 2*a**2 + 0*a - j*a**2. Let y = -42 + 37. Determine n(y).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 48 - 43. Suppose 0 = f - g - 1. Suppose -13 = f*v - 157. Does 16 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*r - 2*j - 42 = -10*r, -2*r - 4*j = -12. Suppose 2*n = 7 + 1. Solve c + g + r = -2*g, -g = n*c - 7 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 250598 is divided by 20344?\nAnswer: 6470","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*h**2*q**3*y + 28*h**2*q**2*y - 577*h**2*y - 32763*h*q**3*y + h*q**2 wrt q?\nAnswer: 12*h**2*y - 196578*h*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 65 a factor of 20098351?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1253.000000787 - -1253. What is n rounded to 7 dps?\nAnswer: -0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 77703 divided by 221\nAnswer: 77703\/221","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (1 - -3)*4\/(-8). Let w(z) = 33 - 33 - z - 4*z**3. Let u(t) = t**3. Calculate x*u(s) - w(s).\nAnswer: 2*s**3 + s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 205*g**5 - 3*g**2 - 2 + 251*g**5 + 42*g**5 - 5 wrt g?\nAnswer: 29880*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -66 - 1\/5*n**2 - 113\/5*n.\nAnswer: -(n + 3)*(n + 110)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 62 is divided by 18.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 4869879.15000105 - 4869879. Let p = 0.041 - 0.191. Let w = p + a. Round w to seven dps.\nAnswer: 0.0000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 804200390 and 72.\nAnswer: 804200462","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) be the second derivative of -v**4\/48 - 11*v**3\/24 + 3*v**2\/2 - 2*v + 27. Factor a(t).\nAnswer: -(t - 1)*(t + 12)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7*v + 7*v + 31*v to c*v + z and give c.\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 13662594?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2727.151 + 2716. Let z = 0.031 + u. Let w = z - -12.8. What is w rounded to one dp?\nAnswer: 1.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*o + 9 = -11*o - 6, 0 = 2*u - 4*o - 7 - 9 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2 (base 13) to base 10.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 120 = 2*r - 6*r. Let t(f) = -3*f + 3. Let x be t(6). Let m = x - r. Is 12 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 - 3 - (3 + (23 + -15 - 13))\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 109289 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**39\/c**(-1\/31))\/(c\/(c*c**9))**(-1\/16) assuming c is positive.\nAnswer: c**(19081\/496)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tvtrvirmiimtrm. Give prob of picking 2 m.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -31*v - 1485. Calculate f(-48).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5)\/(20\/(-6))*(-8)\/(-36)?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 121068 - 85825. Suppose 0 = 20*c - s + 1443. What are the prime factors of c?\nAnswer: 2, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a - 74 = 4*p + 14, -p = 2*a - 176. Calculate the highest common divisor of a and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 945386196 a multiple of 2748?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 17918+-0.5\nAnswer: 17917.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i and 1 e when two letters picked without replacement from {i: 7, e: 2, a: 1}?\nAnswer: 14\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f + 2*a + 1200 = 0, 0*f - 4*f + 5*a + 977 = 0. What is the highest common factor of 14 and f?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -23380 by -10.\nAnswer: 2338","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 8337189?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (6\/2 + (-174)\/24)*4. Let n = -64 - -97. Let w = c + n. What is the tens digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 21*y**6 + 4*y**4 + 1533*y**3 - 9*y**2 + 53346*y?\nAnswer: 2520*y**3 + 96*y + 9198","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:24 AM and 4:44 PM?\nAnswer: 560","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:49 PM and 5:27 PM?\nAnswer: 38","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 38023 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (2\/6*0)\/(-1). Is (q - -246)*1\/2 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6*5\/15*(-6)\/78\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2238737.468677 + -2238829.06. Let d = 88.69132282 + o. Let j = d + 2.9. What is j rounded to six dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -8*c - 4. Let m be l(2). Let n = m + 22. Suppose 4*k = 5*w - 10*w + 19, 3*w - 6 = 3*k. Put 0, 8, k, n in ascending order.\nAnswer: 0, k, n, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2527 - -2524. Which is the nearest to k? (a) 4 (b) 3 (c) 30\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -15987419361 and 2849?\nAnswer: 15987422210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 103*b + 18*b = -73*b - 3855 - 1383 for b.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 + 8 = 2*b. Suppose -4*k - 2*p + 705 + 843 = 0, -1944 = -5*k - 4*p. What is the remainder when k is divided by b?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28*y + 125 = 16*y - 19*y for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 4482144271?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -12.75 + 3.8. Let z = p + 9.3. Let g = z + -0.498. What is g rounded to 2 decimal places?\nAnswer: -0.15","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = n - 2. What is w(4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -2*j**3 - j**2 - 5*j - 1. Let p be l(-2). Suppose 2*z - p = 11. What are the prime factors of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 99?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 s and 1 d when four letters picked without replacement from sssdjksjkdk.\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-3)\/(-3 + 0)*2. Solve -d - f*d = 3 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4395295789 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -62, -122, -186, -254, -326?\n\"Answer: -2*m**2 - 54*m - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1994 + -1994.1. Let x = 16 + -16.1. Which is the nearest to k? (a) 1\/7 (b) -4 (c) x (d) -7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -1624, -6006, -12884, -21910, -32736?\n\"Answer: 58*m**3 - 1596*m**2 - 86","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 9955 to the power of 1\/2, to the nearest integer?\nAnswer: 100","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(468)*-3*-3 - sqrt(468)) + sqrt(468) - ((sqrt(13) + 0)*-1 - (sqrt(208) + -2))**2) + 4.\nAnswer: -325 + 74*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 486 + -8753\/18. Let r = -7\/18 - t. Let m = -72407 + 72407.3. Which is the nearest to -1\/4? (a) -1 (b) m (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-161)\/(-46)*(-72)\/(-14)*14\/(-4)*-1.\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 212*q**3 + 173*q**2 wrt q?\nAnswer: 1272","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -71 - 16816?\nAnswer: -16887","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of -3 - 207\/(-6)*(-12)\/(-18)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -367*v**2. Let x(a) = 3*a**2. Give n(x(d)).\nAnswer: -3303*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*m - 12 + 7. Let i be -1*2\/10*m*2. Which is the nearest to i? (a) 1\/2 (b) -1\/3 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 44, -2, 4, -1, -5 in descending order.\nAnswer: 44, 4, -1, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n - 4 + 13 = 0. Solve 0 = 4*t + n + 13 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r and 2 t when three letters picked without replacement from trrtrrtrrrt?\nAnswer: 14\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*x**5\/3 - 2*x**4\/3.\nAnswer: 2*x**4*(x - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25*b = 210 + 806 - 191 for b.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 153\/(-17)*4\/48\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*k - 3*m + 30, 2*m + 37 = -k + 4*k. Suppose 0 = -4*y - 0*y + 132. What is the remainder when y is divided by k?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6 = 31*a - 33*a for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -3598640 rounded to the nearest one million?\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -s**3 - 2*s**2 + s + 3. Let u be c(0). Suppose -5*l = 5*v - 92 - u, 0 = -5*v - 3*l + 95. List the prime factors of v.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = 7*r - 1. Let l be w(6). Let k = 28 - l. Calculate the remainder when 40 is divided by 1 - 1 - (k - 1).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -9*16\/36*77\/(-28).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:40 PM and 1:03 AM?\nAnswer: 623","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert -252 (base 8) to base 3.\nAnswer: -20022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0007744112441 rounded to 5 dps?\nAnswer: 0.00077","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 78*r - 397 - 1727 + 470 = 2012 for r.\nAnswer: 47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5 = -15*j + 20*j + 2*u, 2*u = -j - 1 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n - 4 = 0, 3*y + 3*n - 7*n = -2. Suppose 0 = v - y*l + 7*l - 584, 5*v = 4*l + 2978. Is v a multiple of 44?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*k = -5*l + 25, -2*l + l - 9 = 2*k for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 11 - 21. Let v = 9 - s. What are the prime factors of v?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xxttxtptpxtxxtxt. Give prob of sequence pp.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xxwx when four letters picked without replacement from {x: 13, m: 2, w: 5}.\nAnswer: 143\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/7, -6, -4785 in decreasing order.\nAnswer: 2\/7, -6, -4785","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 26*o**2 + 341*o**2 + 188*o**2 + 85*o**2.\nAnswer: 640*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.709224 less than 77.8?\nAnswer: 77.090776","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Determine u so that 50*u**4\/21 - 20*u**3\/21 - 38*u**2 + 320*u\/21 - 32\/21 = 0.\nAnswer: -4, 1\/5, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1211583?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -50476292 divided by -41476\nAnswer: 1217","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 86036738?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3401*d**2*n + 18*d**2*x + 15*d**2 + 2*d*n*x + 29830*d*x + d + n*x + 2*n - 6*x wrt d.\nAnswer: -6802*n + 36*x + 30","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 586 minutes before 3:55 PM?\nAnswer: 6:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -9 - (188\/(-96) - 0)\/((-17)\/(-68)).\nAnswer: -7\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -106 + ba?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 67150?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1836, -1829, -1810, -1773, -1712?\nAnswer: -1621","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m = -0*m + 75. Let t = 52 + m. Calculate the smallest common multiple of 18 and t.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ohoyhydoyyoyohy. Give prob of picking 1 d and 2 y.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 526 divided by 162\nAnswer: 263\/81","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -3*w - 25. Let v be r(-11). Solve p = 5*p + v for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**9\/y*y\/(y**(-5\/3)\/y))**28 assuming y is positive.\nAnswer: y**(980\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -114 - -138. Solve 7*o = 15*o - x for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) be the first derivative of 123*j**7\/7 + 16*j**3 + 39. What is the third derivative of v(x) wrt x?\nAnswer: 14760*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) be the first derivative of 41173*g**4\/2 + 3*g**3 + 12. Let x be s(-4). Round x to the nearest 100000.\nAnswer: -5300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z*z**(-25)*z**(-24)*z\/(z**(-16\/5)*z)*z**(-9\/8) assuming z is positive.\nAnswer: z**(-1837\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = 2 - 4 - 1 + 2. Let r(q) = q - 1. Let y(a) = r(a) - 2*v(a). Calculate y(-3).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = 4*q**3 - q + 0*q**3 + 2*q**2 - 5*q**3 + 1. Suppose 5*i = -h + 10, -455*h + 20 = -5*i - 462*h. What is f(i)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1.65 - 2.35. Which is the nearest to n? (a) 1 (b) 4 (c) -6\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.02831 and -6.\nAnswer: -0.16986","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = m - 9. Let x(k) = -3. Let a(w) = -4*b(w) + 14*x(w). Let s(o) = -3*o - 5. Let c(f) = 4*a(f) - 5*s(f). List the prime factors of c(-11).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3992\/7 + 570. Sort 0.02, t, -1\/4 in increasing order.\nAnswer: t, -1\/4, 0.02","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 130443 (base 11) in base 6?\nAnswer: 4223225","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z - 4*z = 2. Let n be 15\/5*13\/3. Sort z, 0, n.\nAnswer: 0, z, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s + 4*y + 80 = 2*y, 5*y - 10 = 0. What is 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 ((-4)\/(-10))\/(1785\/1275)?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 27185*i**2*m**4 + 3*i**2*m**2 - 169627*i**2 wrt m?\nAnswer: 108740*i**2*m**3 + 6*i**2*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:34 PM and 10:30 PM?\nAnswer: 56","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:15 AM and 6:00 AM?\nAnswer: 165","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2922*a**3 + 29*a**2 - 13 wrt a.\nAnswer: -17532","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 68, 4, 157, -3 in descending order.\nAnswer: 157, 68, 4, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0 + 0 + q**4 + (-1 + 1 - 2*q**3)*(2*q - q - 3*q) + 1 - 1 - q**4 - 2*q**4 + 2*q**4 - 2*q**4 + (0*q**3 - q**3 + 3*q**3)*(0*q - 5 + 7 - 3*q).\nAnswer: -4*q**4 + 4*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is -43495 <= -43890?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 23536506.\nAnswer: 2, 3, 7, 560393","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) be the third derivative of -c**7\/210 + 31*c**6\/60 + c**5\/20 - 23*c**4\/3 - 62*c**3\/3 - 3*c**2 - 132. Factor t(p).\nAnswer: -(p - 62)*(p - 2)*(p + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -339.75 and 369346.\nAnswer: 369006.25","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -2*d - 1 + 3 - 2 + 2. Give y(-5).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 19c (base 15) to base 16\nAnswer: 174","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = 8*o**2 + 2*o - 3. Suppose 0*d = 2*d - 8. Suppose 5*q = d*q - 2. Let s(i) = i - 1. Let j(y) = q*s(y) + h(y). Give j(1).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2584519?\nAnswer: 7, 421, 877","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*sqrt(153)*4 + sqrt(153))\/(sqrt(1296) + sqrt(1296)*3).\nAnswer: 25*sqrt(17)\/48","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1656788537 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -46561.003 to the nearest one hundred.\nAnswer: -46600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 63\/190 and -23\/24244?\nAnswer: 121220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 29376 a multiple of 32?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.07 + 0.27. Which is the third smallest value? (a) 5 (b) f (c) -1\/12\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -347*h = 314*h - 624*h - 1332 for h.\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 204359 = 4*l - 3*r, 0 = -l + r - 4*r + 51101. Let x be l\/2128 + 2\/(-7). Let n = x - -29\/19. What is the common denominator of n and 107\/10?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = 11*u**3 - 4*u**2 - 3*u + 3. Suppose -2*d = 8, 4*h - 32 = -0*h + 4*d. Is i(h) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g = -0*g - 4*g. Suppose g = -75*y + 119051 - 33701. Is y a multiple of 75?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*k - 2*k - 3*k)*(12*k**4 - 2*k**3 - 66*k + 9 + 66*k - k**4 - 1 + 1 + (-2*k**2 - k + k)*(0*k**2 + 2*k**2 - k**2) - 5*k**4 + k**4 + 0*k**4).\nAnswer: 5*k**5 - 2*k**4 + 9*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -4*i - 3 - 1 + 3*i + 2*i. Suppose -h + 0*a - 2*a = 0, 0 = -h + 4*a - 18. Give n(h).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 1\/3 (b) 1\/2111 (c) 3 (d) -0.4 (e) 262\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*h + 5 - 54 = 0. Let a(k) = 3*k**3 - 22*k**2 + 8*k - 5. Let b be a(h). Solve -b*o + 6 = -0*o for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 12 - 9. Suppose 7*b - 5 = -4*n + 4*b, 0 = 3*n + 3*b - y. Let w(x) = x + 8. Let v(d) = -2*d - 7. Let h(z) = n*v(z) + 3*w(z). Calculate h(5).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1\/(2 - 85\/45). Find the common denominator of 49\/6 and ((-3)\/18)\/(k\/74).\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**7\/n*n)\/(n\/n**(2\/15))*(n\/n**(3\/5))\/n**(-2\/3)*((n*n**(-7))\/((n\/(n\/n**8))\/n))**(-6\/7) assuming n is positive.\nAnswer: n**(642\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 - 6 - 2)*(-2 + 5 - 2)*(-4*q**5 + 3*q**3 - 3*q**3).\nAnswer: 48*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 26\/17821 (b) 2\/7 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3339*c + 4*c**2 + 1 + 1734*c - 2 + 4*c**2 + 1667*c to the form l + v*c**2 + a*c and give a.\nAnswer: 62","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -693082\/463 or -1498?\nAnswer: -1498","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((2\/12)\/(-1))\/((-219)\/((-218781)\/(-888)))?\nAnswer: 3\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + 72 = 2*w. Suppose -t - w = -4*t. What is the smallest common multiple of t and 2?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 186 + -15. Let w = 135 + s. What are the prime factors of w?\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5939*-139\nAnswer: 825521","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 10272, 22197, 35784, 51033, 67944?\nAnswer: 86517","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3411*t + 72226 = -1937*t for t.\nAnswer: 49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3 + 0. Suppose 5*k + 10 = i*t + k, -3*t + k + 16 = 0. What is the common denominator of (-198)\/(-40) - t\/15 and 59\/20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -300972*w + 300976*w + 161 = 15*f, -6*f = w + 89 for w.\nAnswer: -59","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*b**3 - 4*b**3 + 2*b**3 + 2*b**3.\nAnswer: -5*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*n = 3*f - n - 704, -3*f + 3*n + 714 = 0. What is the derivative of 112 + 134 - f*q - 52 wrt q?\nAnswer: -233","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 3335 and -4861877.\nAnswer: -4858542","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -4, 2\/57, 4, 9?\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -14988*m. Let w(k) = 22*k. Give l(w(j)).\nAnswer: -329736*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 131332101 (base 4) in base 16?\nAnswer: 1df91","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*u + 0 + 0 + (0 - 2 + 3)*(4 + 2*u - 4) + 0*u + u + 0*u - u - 4 + 2*u - 2*u.\nAnswer: 4*u - 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -4 - -8. Let h be (-210)\/((-12)\/f) + -4. Suppose -4*o + 4*p = -124, -2*o - 3*p + h + 1 = 0. Does 17 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s - 20*b + 15*b + 2295 = 0, 3*b - 9 = 0. What is the common denominator of 1 - 4 - (5 - s\/(-28)) and -31\/105?\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-6)\/(-4)*(-24)\/(-9). Suppose o - 1 = u. Suppose 0 = -5*t - o*z - 6 + 306, -4*t + 3*z = -205. What is the units digit of t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.2 and 1392.3765.\nAnswer: 1392.5765","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*q**3 - 2*q**3 + 24*q - 2*q**4 - 2*q**3 + 0*q**3 + 2*q**2 + 11*q as j*q + z*q**4 + c*q**3 + t + o*q**2 and give z.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = w**2 + 15*w - 4. Let b = -25 - -9. Let l be d(b). Suppose 0 = 8*g - 13*g + 20. Solve m + 3*v - 11 = -m, -g*m + l = 4*v for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 733881489 and 1133?\nAnswer: 1133","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 67 + -42. Let h = a - 0. Solve -3*r = -8*r + h for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 33 divide 3423?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 24 and 65896.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor i**4 - 106*i**3 - 3*i**2 + 316*i + 212.\nAnswer: (i - 106)*(i - 2)*(i + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*o - 10 - 11. Let n = o + 10. Let f(d) = -n*d + 5*d - 4*d + 0*d. Let m(k) = -2*k. Calculate f(m(j)).\nAnswer: 4*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) be the third derivative of -5*l**4\/12 - 2*l**3\/3 + 2*l**2 - l. Let f(m) = -1. Calculate 6*f(d) - i(d).\nAnswer: 10*d - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 470 is divided by 158.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -m + 153 = -o + 150, 60*m - 21*m + 46*o - 287 = 0 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = c**3 - 9*c**2 + 5*c + 9. Calculate r(8).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-14)\/15*57000\/(-13300).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -8 + 12. Let i = m + -3. Let s = -1.3 + i. What is the second smallest value in -5, s, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:46 PM and 6:06 AM?\nAnswer: 680","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -34*c + 14 = -3 - 119 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 295 is divided by 32.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 1 + -6 - (-35 - -21)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -458*g**3 - 107*g**2 - 2*g wrt g.\nAnswer: -2748","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-18)\/30*(-90)\/126.\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 9*w - 6*w - 2*b - 214, 3*w - 5*b = 211. Is 27 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 102648496339 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express (-g + 2*g + 2*g)*(-1 + 1 + 8*g)*(-g + 5*g - 5*g) as k*g + j*g**3 + r + x*g**2 and give j.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 5 + -37c?\nAnswer: -377","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 783*p**4 - 422*p**2 - 471395*p wrt p?\nAnswer: 9396*p**2 - 844","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 3, b: 4, l: 6}. What is prob of sequence llv?\nAnswer: 15\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2778 + -2778.02532. Round s to two dps.\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 48113 is divided by 60.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**1*y**(-1\/8)*y*(y*y*y\/y**0)**(-3\/28) assuming y is positive.\nAnswer: y**(87\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -f. Let s(l) be the second derivative of 71*l**4\/12 + 3*l + 4. Calculate s(m(j)).\nAnswer: 71*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 3 + (-6)\/2 + 3. Let o(i) = 2*i**2 + i + 2. Let y be o(-2). Suppose k*c - y = c. What is the remainder when 10 is divided by c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*r**2 - 3*r**2 + 3*r**2)*(-15*r + 726*r - 303*r) to j*r + u + p*r**2 + k*r**3 and give k.\nAnswer: -1224","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -197\/2*i**3 - 37609\/4*i**2 - 1\/4*i**4 + 59100*i - 90000 = 0. Calculate i.\nAnswer: -200, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (sqrt(50) - sqrt(1250) - (sqrt(2) - sqrt(72)*2)) + (sqrt(18) - 1*sqrt(18)*6)\/(3*sqrt(324)).\nAnswer: -167*sqrt(2)\/18 - 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 34, 47, 62, 73, 74, 59, 22?\n\"Answer: -w**3 + 7*w**2 - w + 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = 11*m + 212. Let a be i(-19). Solve -a*b + 14 = -4*u + 5*u, 5 = u for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 8\/2 + 33\/(-6). Let r = -281\/3 - -93. Let v(h) = h**3 + 7*h**2 + 2*h - 7. Let n be v(-6). Put k, n, 3, r in decreasing order.\nAnswer: n, 3, r, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 7322770 and 80470.\nAnswer: 7322770","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 2181 + 41?\nAnswer: 2232","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 3\/22172 and 8 + (-65)\/(-10) + -13 + 22.\nAnswer: 22172","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -7266 and -152.74.\nAnswer: -7418.74","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sum 70993.29 and -11078.86.\nAnswer: 59914.43","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*u**2\/3 + 58*u\/3 + 124\/3.\nAnswer: -2*(u - 31)*(u + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor f**3\/9 - 4*f**2\/3 - 4*f\/9 + 80\/3.\nAnswer: (f - 10)*(f - 6)*(f + 4)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 97922352 divided by 24480588?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = 6*h**2 - 3*h. Let l be n(-4). Let f(v) = -v + 2. Let u be -8 - (-2 + 0 + 4). Let j be f(u). Calculate the highest common divisor of j and l.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = 28*q**2 - 5*q - 5. Let k(z) = -28*z**2 + 4*z + 4. Let r(l) = -5*k(l) - 4*t(l). Let h(g) = 337 + 354 - 13*g - 1047 + 356. What is h(r(c))?\nAnswer: -364*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*t - 3*g = -14, 0 = -g + 5*g + 8 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = 2843*a - 145280. What is n(51)?\nAnswer: -287","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 18\/4*6\/(-9). Let x be (-4)\/(-3) + 1\/s. Let w be 39\/13*(6\/171)\/(-1). Is x != w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xexxexxexxxxxezxxexx. What is prob of picking 2 x?\nAnswer: 91\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -8 - 206*f - 9 - 10*f**4 + 17 - 46*f**4 wrt f.\nAnswer: -672*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/13, 5.2, -5 in decreasing order.\nAnswer: 5.2, -2\/13, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 0.5 (b) -2130 (c) -44 (d) 1\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (12 + -5 - 7) + (0 - 2)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -5017617 (base 8) in base 2?\nAnswer: -101000001111110001111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 200 a factor of 129800?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 143 and 33?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*s + s - s - 2*s + 5 - 5 - 6*s + 2*s + 2*s + (1 + 0 + 1)*(0*s - 2*s + 4*s) + 3*s - s + 0*s - 3*s - 3*s + 4*s + 4*s + 0*s - s.\nAnswer: s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r = 4*r. Suppose r = -2*l + 8*l - 60. Calculate the remainder when (15\/l)\/(3\/58) is divided by 16.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -3*p**2 - 5*p + 7 - 2 + 16*p**3 - 9*p**3. Let j(z) = 3*z**3 - z**2 - 2*z + 2. Let a(s) = -4*d(s) + 9*j(s). Calculate a(3).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-6)*l*l*l**(2\/3)*(l*l**(-6))\/l**(-1))**(3\/8) assuming l is positive.\nAnswer: l**(-11\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -14*m + 6. Let l be x(2). Let w = l - -22. Let j = 194 + -1748\/9. Which is the third biggest value? (a) w (b) 5 (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + (-3)\/(-6)*4\/(-6).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 47\/133 and 23\/209.\nAnswer: 1463","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -168 - -105. What is the common denominator of ((-5)\/t)\/(1\/(-6)) and -59\/2?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8*0.08\nAnswer: 0.64","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3140.\nAnswer: 2, 5, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*g - k - 6 = 3*g, -g + 3 = 5*k for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 485\/(-776)*(-12)\/(-10)?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*j - 2 = j. Let s(h) = -h**2 + h + 2. Calculate s(j).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 minutes after 7:13 PM?\nAnswer: 7:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = 4*q**3 + 3*q**2. Suppose 15*y - 1309 = -1429. Let f(s) = -13*s**3 - 8*s**2. Suppose -13 + 4 = 3*d. What is d*f(u) + y*a(u)?\nAnswer: 7*u**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 5663452495 to the nearest integer?\nAnswer: 1782","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -150.2 to the nearest one hundred.\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) be the third derivative of -s**6\/60 - 13*s**5\/12 + 13*s**4\/6 + s**3\/6 - 49*s**2. What is the second derivative of w(m) wrt m?\nAnswer: -12*m - 130","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -33318, -66648, -99978?\n\"Answer: -33330*g + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*s - 22 = n, -5*n - 13 = -4*s - 23 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = 14*k - 17. Let u(g) be the second derivative of -5*g**3\/6 + 3*g**2 - 2*g. Let q(z) = -4*s(z) - 11*u(z). Determine q(0).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = y + 6. Let t(k) = k + 1. Suppose -3*w - 3*a + 123 - 135 = 0, -5*a - 26 = -w. Determine w*v(r) - 2*t(r).\nAnswer: -r + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 - -1 - (-11 - -12).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-12)\/(-40)*(6 - (364\/48 + -2)).\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 - -1)\/(7\/21) + -7.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1*((3 - 4) + 1). Suppose -5*k - 3*r + 295 - 42 = j, 2*k - 114 = 2*r. Suppose 11 = -2*w + k. List the prime factors of w.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*a - 413 + 389. Let l(c) be the first derivative of -c**5\/120 - c**4\/3 + c**3\/3 - 2. Let x(w) be the third derivative of l(w). Determine x(a).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-8)\/(-4) + -8 + 2)\/(-2). Suppose 3*m = -2*s - 4, -g*s + 12 = 3*m - 4*m. Suppose 0 = -9*p + s*p. Solve p = -5*l + l - 20 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/7 in -5\/9, 1\/2, -1.1, 0.14?\nAnswer: 0.14","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of g**5*y**3 + 3206891*g**4*y**3 + 2*g**2 + 4597302*g*y**3 + 2*g wrt g?\nAnswer: 60*g**2*y**3 + 76965384*g*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(11) - (sqrt(11) - (sqrt(44) - sqrt(176)))) + (sqrt(44)\/sqrt(4))**2*-6)*4 - (6*(sqrt(55) + sqrt(55)*2))\/(-2*sqrt(20)\/sqrt(4) - sqrt(5)).\nAnswer: -264 - 2*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*n + 1565 = 4121. Let f = n - 84. What is the remainder when f is divided by 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1\/4, 4, -4\/15, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9.104358um to centimeters.\nAnswer: 0.0009104358","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (2*(((sqrt(192) - sqrt(192)*-1)*-2 - (2 + sqrt(192) + -1)) + 3)*5*-1)**2.\nAnswer: -16000*sqrt(3) + 480402","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 268 divided by 2?\nAnswer: 134","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 52493 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 23209 times -0.3\nAnswer: -6962.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 101.47 - -2.53. Let r = s + -104.46. Which is bigger: r or -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29*i + 140 = 39*i. Is i composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + (-6*((sqrt(68) - -2*sqrt(68)*-2)*-4)\/(-4*sqrt(8)\/sqrt(8)))**2)*2.\nAnswer: 44072","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2909, -11687, -26415, -47171, -74033, -107079?\nAnswer: -146387","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = t + 5. Let f be x(-2). Suppose 0*r + r - 5 = -3*h, 0 = 3*h - f. Let -2*i**5 + 11\/2*i**4 - 21\/4*i**3 + 0 - 1\/4*i + r*i**2 = 0. What is i?\nAnswer: 0, 1\/4, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 4 + 1 + (3 - 3 - 2)*(2 - 3 - 1) + 2 + 1 + 0)*(-2*d**2 + 4*d**2 + 0*d**2).\nAnswer: 12*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 3*b*i + 61834*b - 6551*i wrt i?\nAnswer: 3*b - 6551","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 55307364.\nAnswer: 2, 3, 7, 23, 28627","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1705693957 to the nearest integer?\nAnswer: 1195","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a - 36 = -i, a - 144 = -4*i - 0*i. Let k = -104 - -77. Let p = k + i. Is p at most as big as -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zggggzzgzzzzg. Give prob of picking 1 g and 3 z.\nAnswer: 42\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 0.8411225 nanometers?\nAnswer: 0.0000000008411225","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) be the third derivative of k**8\/20160 - k**7\/1680 - k**6\/360 - k**5\/20 + 2*k**2. Let d(n) be the third derivative of z(n). Determine d(4).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -12 + (-7 - (14 - 14)) + 9 + 5?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2740\/(-64) - ((-22002)\/(-608) - 36).\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = 81*u - 3 - 575*u + 6. Let k be a(3). Let f = 179 + k. What is f rounded to the nearest 1000?\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1.0992 + -0.90084. Let b = p + 2. What is b rounded to 4 decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v = v - 162. Suppose -v*i + 11*i = -3408. Is i a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2 + 3. Suppose 2*o = j*s + o - 45, 5*o + 15 = 4*s. Suppose -2*c - 3*v = -35, v = -2*c + 35 - s. Is c prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 2\/3 (b) 9\/5 (c) -2 (d) -1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-27)\/(-4) + (-24)\/(-16) + -11?\nAnswer: -11\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 247914 and 108?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -13*u + 16*u - 2*k - 9, -4*u + 58 = 5*k. Let t(o) = -6*o**2 - 4*o + 3. Let i(y) = 9*y**2 + 6*y - 4. Determine u*t(l) + 5*i(l).\nAnswer: 3*l**2 + 2*l + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express -12*g + 6*g - 10*g as x + s*g and give s.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -6337\/2 - -3166. Is -15 greater than j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00033515 rounded to 6 decimal places?\nAnswer: -0.000335","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = 8*x**2. Let c(w) = -7*w - 6. Let f(y) = -1. Let l(h) = -c(h) + 6*f(h). Give l(u(o)).\nAnswer: 56*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(228)\/(1*sqrt(12)) + (2 + sqrt(19))*-2)**2.\nAnswer: 8*sqrt(19) + 35","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5*u**2 - 4*u**2 - 2*u**2)*(-3 - 3 - 2)*(4 - 5 - 2) to the form k + a*u**2 + h*u and give a.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 12346 + -12306. Let z(g) be the second derivative of 0*g**2 + 1\/15*g**3 - r*g + 0 - 13\/60*g**4. What is y in z(y) = 0?\nAnswer: 0, 2\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -0.03 or -1\/44596?\nAnswer: -1\/44596","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -96218.4052 to the nearest 1000.\nAnswer: -96000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.29797 plus 141.83?\nAnswer: 141.53203","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -41093*b**4 + 36201*b**2 wrt b?\nAnswer: -986232*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 361520159 to the nearest integer?\nAnswer: 712","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in seventeen quarters of a decade?\nAnswer: 510","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out -22597 * -227.28.\nAnswer: 5135846.16","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 73.5248 - -0.4752. Let k = -12544100.00091 + 12544026. Let v = u + k. What is v rounded to 4 decimal places?\nAnswer: -0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -111, -256, -497, -834, -1267?\n\"Answer: -48*p**2 - p - 62","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(50)\/(sqrt(90)\/(sqrt(9)*-2)) - -4*(4 + sqrt(5) + 0) - (5*(sqrt(180) + -1) + sqrt(10)\/(sqrt(8)\/sqrt(4))*-6))**2.\nAnswer: -924*sqrt(5) + 2861","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -373551*h**4 - 431444*h.\nAnswer: -4482612*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(162)*-1)**2.\nAnswer: 162","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 342 - 852. Calculate the common denominator of 1\/6 + (5 - l\/(-18)) and -33\/8.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2 less than 115377.085641?\nAnswer: 115377.285641","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v, 1 l, and 1 g when three letters picked without replacement from vglvvlkvlyvvv.\nAnswer: 21\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -4122.088 rounded to the nearest 10?\nAnswer: -4120","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/5)\/((-754)\/65 - -14)?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = 16*c**2 - 141*c - 1. Let h(z) = 3*z**2 - 28*z. Calculate 11*h(p) - 2*n(p).\nAnswer: p**2 - 26*p + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 49 and 112?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 - 4*x**2 + 2*x**2 + 0.\nAnswer: -2*x**2 - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*o**2 + 8*o**2 + 0*o**2.\nAnswer: o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (9*3828\/(-1485))\/((-16)\/(-40)*-2)?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -761, -1476, -2177, -2864, -3537?\n\"Answer: 7*n**2 - 736*n - 32","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -61 = -17*x + 41. Let i be (1 - 1)\/(-2) - -12. Suppose j = 5*j - i. What is the remainder when x is divided by j?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2468281 and 68?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 17 - 6. Let q = -3 + v. What are the prime factors of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/17 in -0.4, -1\/3, -35?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = t**2 + 142*t + 814. Determine x(-6).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -22402 (base 5) to base 15.\nAnswer: -71c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 42205 (base 8) to base 7.\nAnswer: 102066","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 3411, 6262, 9113, 11964?\n\"Answer: 2851*g + 560","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 20969542 is divided by 59?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = b**2 + 7*b + 9. Determine r(-6).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2 - 3. Let r be (3\/1 + -12)\/x. Which is bigger: 3 or r?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*i = i + 7*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 168 + -182 + 13 + -1.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/7 in 1, -0.5, -3, -1, -8894?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find a, given that 49*a**4\/9 - 469*a**3\/9 - 26*a**2 + 244*a\/9 - 40\/9 = 0.\nAnswer: -1, 2\/7, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*i = -3*i + 4 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**1\/(g*(g**10\/g*g)\/g*g*g))\/(g\/(g**(-2\/11)*g)*g**(1\/17)\/g) assuming g is positive.\nAnswer: g**(-1915\/187)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 16 - 19. Let n be 4 - (w\/(-1) + -4). Solve 13 = 2*t + n*r, -1 = t - 4*r + 12 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 28894261, 57788515, 86682769?\n\"Answer: 28894254*s + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4 - -3) + 2 + -6.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -33506*a**3*j**2 - 47926715*a**3 + 229*a**2*j**2 - 3*j wrt j.\nAnswer: -67012*a**3*j + 458*a**2*j - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) 1\/6 (b) -5\/8 (c) 2\/7 (d) 0.2 (e) 12\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 161 - 481\/3. Which is smaller: r or 2\/151?\nAnswer: 2\/151","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 - (-2 - ((-11 - (0 + -2)) + 23)).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -y**2 - 5*y + 20. Suppose -9*t - 8 = -8*t. Let u be k(t). Let n = -0.2 + 0.4. What is the second smallest value in u, n, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1094266?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 816968817 and 11429?\nAnswer: 8986656987","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) be the first derivative of -n**3\/3 - n**2\/2 + 45*n - 1. Let s be t(0). Suppose -3*c + s = 2*c. What is the units digit of c?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = 3*h**2 - 3*h. Let q(n) = -n**2 - 6*n - 4. Let v be q(-6). Let z(y) = 3*y**2 - 4*y. Give v*z(r) + 5*o(r).\nAnswer: 3*r**2 + r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 605*v = 674*v - 414 for v.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:23 PM and 4:21 AM?\nAnswer: 538","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -49694 - -49693.979947. Let m = n - -0.02. What is m rounded to 5 dps?\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1514637171?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 b, 1 e, and 1 r when four letters picked without replacement from {b: 2, r: 1, e: 2}?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -w**2 - 4*w + 4. Let k(x) = -x + 1. Let j(z) = -h(z) + 4*k(z). Let b(v) be the third derivative of -v**4\/8 - 103*v**2. Give j(b(f)).\nAnswer: 9*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1022*d - 708*d + 194*d = -30720 for d.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-315)\/(-4))\/(10 + (-891)\/88). Let d = 1792 + j. Is 80 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 41872 - -4?\nAnswer: 41876","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 23550515 to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = 14*k - 15. Let x = 292 + -212. Calculate the remainder when h(5) is divided by (0 + -1)\/((-10)\/x).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 145 - 1018\/7. Suppose -5*y = -10 + 5. Let i be (-1)\/1*y - 24\/8. What is the second biggest value in i, x, 3\/2?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -a**3 - 3608*a**2 - 57535*a - 226296 = 0 for a.\nAnswer: -3592, -9, -7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of b**4*m + 6*b**4 - 2087*b**3*m + b**3 - b**2 - 82*b*m + 152*b - 1 wrt b.\nAnswer: 24*b*m + 144*b - 12522*m + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 23\/5 in 0.2, 0.4, -1\/9, -116\/13?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 701 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 61\/48 and 9\/728.\nAnswer: 4368","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -2 + 6 + -1 - 164\/(-88) and -91\/8900.\nAnswer: 97900","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) be the third derivative of -i**8\/80 - i**6\/30 + i**3\/2 + 8*i**2. Let f(h) be the first derivative of w(h). Find the third derivative of f(n) wrt n.\nAnswer: -504*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c - 3*c + 25 = 3*f, c - 7 = -f. Solve -3*y + 0*y + f = 0 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) be the third derivative of 19*s**8\/168 - 4*s**5\/15 + 34*s**2. What is the third derivative of q(a) wrt a?\nAnswer: 2280*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 412434 + 12001?\nAnswer: 424440","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Total of 4 and -68.536085.\nAnswer: -64.536085","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -135, -384, -757, -1260, -1899, -2680, -3609?\nAnswer: -4692","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b = 3*b. Let k = b + 2. Let t be k\/12*3*4. Calculate the highest common factor of 10 and t.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -8\/5*b**4 - 128\/15*b**2 + 2\/15*b**5 + 32\/5*b**3 + 0*b + 0.\nAnswer: 2*b**2*(b - 4)**3\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 15 + -13. Suppose z*c - 72 = -c. Is 24 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -3*a + 27. Let n(q) = 2*q - 27. Determine 4*n(l) + 3*x(l).\nAnswer: -l - 27","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 142 = 4*c - w, -3*c + 5*w = -0*c - 98. Let s be (-4)\/14 - c\/21. Let y be 0\/3*(s + 1). Solve 3*g = n - 2, -g + 2*n - 3*n + 2 = y for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 39641.8 rounded to the nearest ten thousand?\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**(2\/3)*g**(-25) assuming g is positive.\nAnswer: g**(-73\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -15119110327 plus 0.3?\nAnswer: -15119110326.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -834118\/9 - -93148. Let x = i + -66947\/144. What is the common denominator of x and -27\/26?\nAnswer: 208","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -13 and -7.55207?\nAnswer: 98.17691","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 19072150 to the power of 1\/2, to the nearest integer?\nAnswer: 4367","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*v**3 - 912*v**2 + 88320*v - 2764800 = 0. Calculate v.\nAnswer: 80, 144","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 13\/5 of a millennium?\nAnswer: 260","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2\/51 or -203?\nAnswer: -2\/51","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 659389.\nAnswer: 727, 907","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 43*t + 1129 + 1030 = -2*t - 991 for t.\nAnswer: -70","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -6*i - 10. Let f(g) = -5*g - 11. What is 4*a(k) - 5*f(k)?\nAnswer: k + 15","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27*j + 5957 - 152783 = 0. What is the tens digit of j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -63\/10 or -7?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-3)\/6 - 7\/(-2). Let b = 11 + d. What are the prime factors of b?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1\/138 - -289\/1794. Which is the closest to 1? (a) 2 (b) 3 (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -67*j + 2613. Let f be l(39). Solve 4*p + 4 = -4*h, 3*h + 5*p + 33 - 24 = f for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 48626 and 34394?\nAnswer: 1410154","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -11*i**2 + 6*i - 8. Determine r(2).\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -13 + 1 - (-21 + -2 + 16). Sort 52, a, -3, 2, -1 in decreasing order.\nAnswer: 52, 2, -1, -3, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + 50 = l, 3*l = 3*d + 4*l - 73. Suppose 21*b = d*b. Suppose 2*c - 84 + 30 = b. What is the units digit of c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 14\/4 + (-1)\/(-2). Let r be (4\/(-5))\/(2\/(-50)). Suppose z - 4*m + 1 = -11, -r = -u*z - m. What is the units digit of z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 20\/2*1\/10.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -d**2 - 9*d + 1. Let z(n) = -n**2 - 4*n - 2. Let r be z(-5). Calculate the remainder when k(r) is divided by (-1)\/4 - 34\/(-8).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*s**2 + 94*s + 2 + 37*s**2 - 37*s**2)*(4 - 30*s - 1 + 29*s) to v + h*s**3 + b*s**2 + y*s and give b.\nAnswer: -88","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 != 7\/1550?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*o - 189040 = -34*o + 8*o. What is the hundreds digit of o?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -157\/124593546 and 13\/10.\nAnswer: 622967730","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 17\/13 greater than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (3\/(-9) + 0)*-9. Suppose 3*s = d, -3*p - s + 6*s = -79. Is p a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 6, s: 2}. Give prob of picking 2 s.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (-225)\/350*(-10)\/15?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10189306 to the power of 1\/2, to the nearest integer?\nAnswer: 3192","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1692)\/27)\/(-47)*((-14)\/(-21))\/((-4)\/18)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = 3*m**2. Let i(a) be the second derivative of -a**3\/2 + 35*a**2\/2 - 2*a + 66. What is u(i(r))?\nAnswer: 27*r**2 - 630*r + 3675","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 >= 2\/7661?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-8)\/6*27\/18. Let h be (f - (-184101)\/28500)\/((-6)\/3). Let m = 7\/1000 - h. What is the common denominator of m and 85\/14?\nAnswer: 266","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -463240*u + 463497*u - 8224 for u.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 56488016*v**2 - 37843355*v wrt v?\nAnswer: 112976032","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + ((sqrt(176) - (sqrt(176) + -1 + 1))**2*-2 - -4*(sqrt(176) + 1 + sqrt(176))**2*-6).\nAnswer: -16915 - 384*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = 4*f**3 + 4*f**2 + 2. Let h(l) = l**3 + l**2 - l. Let u(m) = m**3 - 7*m**2 + 11*m - 7. Let b be u(5). Let v(p) = b*h(p) + s(p). Calculate v(-2).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 5, -5257, -2.991 in decreasing order.\nAnswer: 5, 4, -2.991, -5257","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q - 5*c + 39 - 19 = 0, 4*c = 4*q. Suppose -60*l**2 + 18*l**2 + 40*l**4 - 22*l - 48*l + 12*l**3 - 10*l - 4*l**5 - 70*l**q = 0. Calculate l.\nAnswer: -1, 0, 2, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 211*i - 107*i - 96*i.\nAnswer: 8*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2*3\/(-20))\/((-459)\/204)?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 449.8 less than 0.17?\nAnswer: -449.63","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vmviivvimvimv. Give prob of sequence mv.\nAnswer: 3\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -504539 or -504536?\nAnswer: -504539","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -644*k + 227 + 804 - 170 + 4*k**3 - 632*k**2 + 411.\nAnswer: 4*(k - 159)*(k - 1)*(k + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 3 - 20331202?\nAnswer: -20331133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3533.711cm to meters.\nAnswer: 35.33711","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = 105*u**3 - 3. Let s(v) = 106*v**3 - 2. Give -3*s(n) + 2*t(n).\nAnswer: -108*n**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert -547d (base 16) to base 7.\nAnswer: -120026","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**(2\/5)*i)\/(i*i*i**(1\/2)))\/(i**(3\/4)*((i*i**(-2))\/i*i)\/i*i*i) assuming i is positive.\nAnswer: i**(-37\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 4 + -33c7a?\nAnswer: -33c76","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/25 of a centimeter in micrometers?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -c**2 - 50*c + 33. Suppose -4*i - 259 = -63. List the prime factors of y(i).\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -5 + 4. Suppose 30 = 4*n - 7*n. Let l be n\/(-25) + 56\/10. Let s(f) = -f**3 - f**2 + f + 1. Let a(h) = -7*h**3 - 6*h**2 + 6*h + 4. Give l*s(o) + z*a(o).\nAnswer: o**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -3*g**3 + 5*g**2 + 4*g. Let w(p) = 2*p**3 - 4*p**2 - 3*p. Let k(t) = 7*t**2 + 106*t - 100. Let i be k(-16). Determine i*f(d) - 5*w(d).\nAnswer: 2*d**3 - d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*a**3\/3 - 6308*a**2\/3 - 12634*a - 18960.\nAnswer: 2*(a - 3160)*(a + 3)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -2*n**3 + 2*n**2 - 6*n - 3. Suppose 62 = -39*f + 23. Let b(x) = x**3 + x + 1. Calculate f*k(p) - 3*b(p).\nAnswer: -p**3 - 2*p**2 + 3*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 14*s*t**3*z - 4*s*t**3 + 2698*s*t**2*z**3 + 2*s*t + 2*s*z + 327*t**3*z**3 + 4*t**3 + 344*t**2 wrt t.\nAnswer: 84*s*z - 24*s + 1962*z**3 + 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 4 + (1 + -5 - -2). Let w be d\/(-7) - 48\/(-21). Solve -2 - w = -2*g for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w - w = 8. Let a(p) = -p + 11. Let d be a(w). Solve -d*k - 2*k = -25 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 8*(-4 + (-63)\/(-12)). Let t(j) = -10*j + 24*j - y*j - 19 - 6*j. Let b be t(-11). Solve -b - 9 = -3*r for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-3)\/6)\/((-6)\/3))\/(138\/184)?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 176 - 14?\nAnswer: 162","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = 4*w + 3. Factor 2198*m**w + 6*m**3 - 2249*m**2 + 9 - 54 + 114*m.\nAnswer: 3*(m - 5)*(m - 3)*(2*m - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) be the second derivative of -11\/20*t**5 + 0 + 217\/12*t**4 + 1\/3*t**3 + 0*t**2 + 138*t. What is the third derivative of g(c) wrt c?\nAnswer: -66","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:45 PM and 11:27 PM?\nAnswer: 102","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -45 (b) 3.62 (c) 4 (d) -0.19 (e) 1 (f) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1661756 is divided by 207719.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8*i + i - 2*i)*(8 - 152*i - 3 + 143*i).\nAnswer: 81*i**2 - 45*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 26329172 or -1?\nAnswer: 26329172","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + (sqrt(242) + -1)**2)*6 + 2*(sqrt(242) - (3 + -2 + sqrt(242))).\nAnswer: -132*sqrt(2) + 1480","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = j - 3 + 3*j**2 + j**3 - 6*j + 4*j. Let h be i(-3). Put h, -4, 2 in decreasing order.\nAnswer: 2, h, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1 - 0. Let n = -617 + 620. What is the biggest value in u, n, -3?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -21 + 26 + (2 - 3 - 2).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-93)\/17 + 6)*(7 + (-244)\/36)?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 143139577 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.046432 - 5850.253568. Round q to the nearest 10.\nAnswer: -5850","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-12)\/8)\/(3\/(-140)). Let i be 80\/6 - (-6)\/9. Calculate the highest common factor of i and k.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -61 in 2, 0.4, -4, 15?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 92800 and 8192?\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u = 5*p + 22, 6*u - 10*u - 5*p - 12 = 0. What is the common denominator of 27 and (-819)\/280 - (u - 21\/6)?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -15, -74, -179, -336, -551, -830, -1179, -1604?\n\"Answer: -c**3 - 17*c**2 - c + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -285660*m + 65701800 + 414*m**2 - 1\/5*m**3.\nAnswer: -(m - 690)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -w**3 + w**2 - 1. Suppose 4 = -m - 3*p, -5 + 3 = m + p. Let i be y(m). List the prime factors of i\/5 - 128\/(-10).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 - 1 - -5 - (-2 - -7)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -22 times -0.0351\nAnswer: 0.7722","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -3 (base 9) to base 4\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 87 + -774a6?\nAnswer: -7741c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 1363*m**2 + 1.\nAnswer: 1363*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 655237400.\nAnswer: 2, 5, 41, 79907","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (13\/(26\/4))\/(2\/(-2))\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from pooowoowowooooo. What is prob of sequence oooo?\nAnswer: 22\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = 60*i**2 + 4*i. Let m(g) = 120*g**2 + 7*g. What is 4*m(b) - 7*q(b)?\nAnswer: 60*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (-5 + (sqrt(684) + (sqrt(684)*-1 - sqrt(684) - sqrt(684))*6 - (1*sqrt(684) + -3)))**2.\nAnswer: 432*sqrt(19) + 221622","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 407, 830, 1267, 1718, 2183, 2662?\n\"Answer: 7*p**2 + 402*p - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 20.1791038 to 2 decimal places.\nAnswer: 20.18","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -6331\/12 - -521. Let n = 20\/179179 + -12759516169\/3583580. Let c = n + 3562. Calculate the common denominator of p and c.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 171 is divided by 14.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 17\/4 of a millennium?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/3 in -0.07, 0.1, 1\/6?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence md when two letters picked without replacement from ddmddmdmmdddm?\nAnswer: 10\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 442602550?\nAnswer: 2, 5, 13, 52379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8 = 4*d - b, 2762 = -2*d + 3*b + 2756 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 103 + -66. Factor 50*j**2 + 20*j - q - 5*j**4 - 3 - j**4 - 14*j**4 - 5*j**3 - 5*j**5.\nAnswer: -5*(j - 1)**2*(j + 2)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2.45 - -2.25. Which is the closest to -1? (a) 0.6 (b) r (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 40 = -413*n + 421*n for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 31b6b (base 12) in base 16?\nAnswer: 10043","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -2*k. Let z(r) be the second derivative of 599*r**3\/6 + 241*r. What is z(t(g))?\nAnswer: -1198*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -m - 114. Let r be k(0). Let q be r\/3*(90\/25 - 4). Which is greater: q or 15?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -80 = -5*v - 11*v. Put v, -1\/4, 0.4 in increasing order.\nAnswer: -1\/4, 0.4, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1131 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -3 (base 14) to base 8\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1357 and 3785?\nAnswer: 5136245","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-5\/3)\/(y*y**(-6)))**33\/(y\/y**13*y**(-12))**(3\/26) assuming y is positive.\nAnswer: y**(1466\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.15325585624 - -5.\nAnswer: 5.15325585624","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Product of -8232 and -0.4.\nAnswer: 3292.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = 3*j - 71. Let i = -118 - -166. Factor i*w - j*w + 5*w**2 - 24*w.\nAnswer: 5*w**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -126 + 132. What is the remainder when 18 is divided by 106\/n - (-5)\/15?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 240 and 8513360.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 (base 11) in base 6?\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 187 (base 14) in base 4?\nAnswer: 10323","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3955?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (7\/49)\/((-14)\/2842).\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1767932567 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*s + d = 11*s - 22, 0 = -3*s - 2*d - 24 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wwyw when four letters picked without replacement from lylwlwlwllllyllllyl?\nAnswer: 1\/5168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*c**4 + 3*c**4 - 3*c**4)*(2 + 0 - 1) + 1229*c**4 + 1114 - 1114.\nAnswer: 1227*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Product of -12 and -62506.\nAnswer: 750072","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (732\/915)\/(4\/(-10)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 6 - -13223?\nAnswer: 13232","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -15565 - 0.7\nAnswer: -15565.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t - 10 - 5 = 0. Suppose t*n + 57 = 18. Let k = -8 - n. Does 5 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -196094280 by 6.\nAnswer: -32682380","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 152 + -122. Suppose 4*g + 27 = 2*n + 3*n, 2*n = -4*g - 6. Let u be (-3)\/1*(g - 12). What is the highest common factor of u and y?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2.4 - -7.4. Put 3, d, -2\/13 in increasing order.\nAnswer: -2\/13, 3, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -13 in 36.1, -3, -2?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 521137 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 1259839376?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = 9*r - 5. Let l be 1*((-12)\/(-4) + -1). Suppose -11 = -l*t + 3. Let n(x) = 5*x - 3. Suppose -1 = -3*k - 13. Determine k*c(v) + t*n(v).\nAnswer: -v - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -19446.6 + 21681. What is x rounded to the nearest one hundred?\nAnswer: 2200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 650813 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) be the first derivative of 3*c**2\/2 - 2*c - 4. Let v be t(-6). Let o be (24\/v)\/((-6)\/20). Solve 0 = d + o*d + 5*r - 40, -5*d = -2*r - 12 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find t such that -9*t**5 + 177*t**4 - 681*t**3 + 783*t**2 - 270*t = 0.\nAnswer: 0, 2\/3, 1, 3, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.3 + 2.7. Let p = u + 1. Which is the nearest to 1? (a) -4 (b) p (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -11 at most as big as -817\/67?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 544823744?\nAnswer: 2, 41, 397, 523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000235109133 rounded to 5 decimal places?\nAnswer: 0.00024","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y*y*y\/(y**(1\/8)*y))\/((y*y\/(y**6*y))\/y))**16*(((y**(-2)*y)\/y)\/(y*y*y**(-1\/4)))\/(y\/(y**(-2)*y)*y**1*y) assuming y is positive.\nAnswer: y**(473\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4\/(-2))\/((-60)\/252*(-88)\/(-440)).\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2*10\/32*(-24)\/(-40)?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) be the third derivative of -d**5\/10 + 7*d**4\/24 + 3*d**3\/2 + 1288*d**2. Determine g(-2).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 25 to the power of 1\/2, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1971838148?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) be the first derivative of -l**3\/6 - 3*l**2\/2 + 2*l - 2. Let w(t) be the first derivative of x(t). Is 4 a factor of w(-11)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -4989 greater than or equal to -4989?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -69, -2\/13, -163, 5, -3\/17?\nAnswer: -163","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -31*i + 7. Let v(m) = 16*m - 4. Let d(l) = -l**3 - 13*l**2 + 44*l - 415. Let b be d(-17). Give b*v(o) - 4*w(o).\nAnswer: 12*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 346 - 152. Is q a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 118451 to the nearest 10000.\nAnswer: 120000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 74366 >= 74366?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find p, given that p**2\/5 + 1565753*p\/5 + 1565752\/5 = 0.\nAnswer: -1565752, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 3013\/5895 - (2\/(-30))\/(-1)\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 491 minutes before 2:32 AM?\nAnswer: 6:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = 3*f - 1759. Let k(j) = 271*j. Calculate y(k(p)).\nAnswer: 813*p - 1759","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 144, 287, 430, 573?\n\"Answer: 143*n + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (-152)\/(-12480)*-8 + (-21)\/(-91)\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p = -o + 7468, 9*p = 5*o + 4*p - 37370. Is o a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -30*o + 12*o + 6*o + 6*o. Let l(b) = -28*b. Determine i(l(d)).\nAnswer: 168*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 817 is divided by 56?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*z**3 - 24*z**2 - 12*z**2 + 28*z**3 + 60*z**2 - 24*z**2.\nAnswer: 19*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 140542 + 22?\nAnswer: 141004","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*c + 5*d + 20, 5*c - 4*d + 0*d + 17 = 0 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 37602, 37688, 37774, 37860, 37946, 38032?\nAnswer: 38118","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*f**3 + 0 + 0 + 10*f**3.\nAnswer: 17*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/3*(-103)\/618?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*o + 0 + 0)*(0*o - o**4 + 0*o) - 3*o**5 + 82*o**5 - 2*o**4 + 5*o**5.\nAnswer: 86*o**5 - 2*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -7*w + 22. Let m(a) = -4*a + 12. Let k(x) = -6*l(x) + 11*m(x). What is k(-5)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -10 + 13. Suppose 0 = 5*k - x + 61 + 64, -5*x + 97 = -j*k. Let p = k + 34. Calculate the remainder when 38 is divided by p.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 n, 1 z, and 1 l when four letters picked without replacement from nlnlggzgongnlzgn?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -g + 8*c - 11*c = 2, -4*c + 56 = -4*g for g.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 39692622 by 2.\nAnswer: 19846311","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 0*(-1 - 0\/2). Let x = l + -3. Suppose w = -3*w - 12. Is x bigger than w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 8105515 and 136.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 4100+-1\nAnswer: 4099","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1*((-6)\/(-9) - 37\/77) - (-1301)\/14311?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 31218?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/3 in -2, 5, -5, -47?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -40 + 12 - u + 24. What is q(4)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -81, -159, -237, -315?\nAnswer: -393","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 112331237 to the nearest integer?\nAnswer: 10599","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -66*w**3*x - 4486*w**3 - 2*w**2*x + 2*x with respect to x.\nAnswer: -66*w**3 - 2*w**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 16 and ((-3)\/6 + 2)*8\/3.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.169 + 0.269. Which is the closest to -2\/7? (a) o (b) 0.2 (c) -24 (d) 1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) be the first derivative of m**3\/3 + 11*m**2\/2 + 2*m - 3. Let q(t) = 3*t + 7. Let g be q(-6). List the prime factors of v(g).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(7) + (sqrt(7) - (sqrt(77)*-3)\/sqrt(11)) + 2 + sqrt(21)\/sqrt(3))*-4.\nAnswer: -24*sqrt(7) - 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 170 (base 12) to base 13.\nAnswer: 147","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 23693*i**3 - 3288*i**2 - 5 wrt i.\nAnswer: 142158","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve i = -5, -9 = 2*h + 3*i + 2 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8597.\nAnswer: 8597","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 16\/10*(-35)\/14*-1. Suppose -2*y - o = 4*u, y = 5*y + 8. Suppose -5*v + 10*v - 165 = u. What is the smallest common multiple of v and 27?\nAnswer: 297","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5686 is divided by 3764.\nAnswer: 1922","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5\/(-45) - 74\/(-18).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -4472\/255 or -17?\nAnswer: -17","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -g**3 + g**2 + 11*g + 2. Is t(-13) a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 264069897.\nAnswer: 3, 7, 13, 967289","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -86*a**2 - 1029*a + 37. Give t(-12).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6233?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + ((sqrt(325) + 2)*1)**2 + (sqrt(13) - sqrt(156)\/(sqrt(12) + sqrt(12)*-3))*-5.\nAnswer: 25*sqrt(13)\/2 + 325","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 350 and 0.1.\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-11)\/(-18)*2\/(-3). Let z be (-5 + 2 + -1)*((-19)\/(-4) - 5). Is z equal to g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -75 - -81 - ((0 - -11) + 0)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) be the second derivative of x**7\/420 - x**6\/90 + x**5\/60 + x**3\/6 - 3*x. Let n(t) be the second derivative of p(t). Find m such that n(m) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -4*h**2 - 3*h + 3. Let b(y) = -70*y**2 - 50*y + 50. Let u(q) = -6*b(q) + 100*j(q). Let m(f) = -f**2 - 9. Give u(m(c)).\nAnswer: 20*c**4 + 360*c**2 + 1620","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -5331, -5326, -5321, -5316, -5311?\n\"Answer: 5*z - 5336","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 30989952.\nAnswer: 2, 3, 7, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 4241 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 33\/(-6) + 1\/(-2). Let f = 11 + k. What is the second derivative of -2*s - 4*s**f + 0*s + s**5 wrt s?\nAnswer: -60*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*h**2\/11 + 74*h\/11 + 76\/11 = 0. Calculate h.\nAnswer: -1, 38","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1.45 + -0.117.\nAnswer: -1.567","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w + 401*q - 396*q - 65 = 0, -3*q = -2*w - 33. Is -92 <= w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 4 + 1)*(-4 + 3 + 2)*(14*r + 13*r - 6*r).\nAnswer: -63*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -993975.84 to the nearest ten thousand.\nAnswer: -990000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 10626 to the power of 1\/4, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 - 2 + 15)*(p + p + 0*p) + 2 + p - p - 2*p to f + c*p and give f.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3 + 3.2. Suppose -2*o + 10 = 5*r, 4*o + 0*r - 4*r = -8. Let l be (20\/6)\/((-4)\/(-6)). Sort g, o, l in decreasing order.\nAnswer: l, g, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = 4*f + 8. Let t(n) = n + 1. Let i(j) = -r(j) + 3*t(j). Let h(q) = q + 3. Let v = 5 + -8. Calculate v*i(a) - 5*h(a).\nAnswer: -2*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14270 is divided by 16?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (10\/(-50))\/(-19 + 9 - -9)?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let -9*a**3\/2 + 12675*a**2\/4 - 558096*a + 92928 = 0. Calculate a.\nAnswer: 1\/6, 352","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 26610075?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -12761 divided by -8\nAnswer: 12761\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(650))\/(sqrt(242) + (sqrt(242) - (sqrt(242) - (sqrt(242) - -4*sqrt(242))))) - 3*(sqrt(1872) + (0 + sqrt(1872))*4)*2)**2.\nAnswer: 7335900325\/4356","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0 - -6. Suppose 2*u + q = -0, 3*u = 2*p - 111. Let d = 155 - p. What is the hundreds digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = j**3 - 8*j**2 + 2*j + 37. Calculate g(7).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 33\/(-7 + 10) + -11. Solve -12*x - 18 + 6 = p for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 3, k: 7, v: 3}. What is prob of sequence zvkz?\nAnswer: 21\/2860","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is (-2 - -3)*(0 - -298) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -9*j**2 + 8*j + 6. Let f(n) = 5*n**2 - 4*n - 3. Let i(r) = -4*d(r) - 7*f(r). Determine i(3).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 28 a factor of 16554?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 8, 24, 46, 74, 108, 148?\nAnswer: 194","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*j**2 - j**2 + 2*j**2)*(2*j - 2*j**2 - 2*j) + j**4 + 6*j**2 - 6*j**2 + 4*j**4 + 3*j**4 - 3*j**4.\nAnswer: 7*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s and 2 t when three letters picked without replacement from {u: 4, t: 5, s: 2}?\nAnswer: 4\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) be the second derivative of -k**6\/720 + k**5\/120 + k**4\/6 - 4*k**2 + 2*k + 52. Let m(u) be the third derivative of s(u). What is m(0)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = 2*c**2. Let s(b) be the first derivative of -b**2\/2 - 7. Give s(y(i)).\nAnswer: -2*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 - (-4 - (-2 - (-4 + 8)))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w = -0*w - 4. Suppose -2 = -19*a + 416. What is the highest common factor of a and w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 300 minutes before 2:53 PM?\nAnswer: 9:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) be the third derivative of -p**5\/180 - p**4\/36 - 33*p**2. Factor k(w).\nAnswer: -w*(w + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -109 - -101.1. Let z = h - -8. Which is the biggest value? (a) -0.5 (b) 4 (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u + 18*u - 21 = -2*u. Let z(p) = 1. Let y(g) = 2*g**3 + 5*g**2 - 5*g - 4. Let o(l) = l**2. Let r(f) = 6*o(f) - y(f). Calculate u*r(h) - 4*z(h).\nAnswer: -2*h**3 + h**2 + 5*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.56479 + -4?\nAnswer: -4.56479","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -71\/60 and -127\/24?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*c + 6 = -2*z + 4, -5*z - 17 = -4*c for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -j**2 - j + 5. Let c = -83 + 75. Calculate o(c).\nAnswer: -51","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 + -9 - (-13 + 3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = 2*x - 6. Let r = -110 - -114. Calculate t(r).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = 21*n**2 - 7*n. Let c(l) = l**2 - l. Determine -6*c(d) + j(d).\nAnswer: 15*d**2 - d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -26*u - 182. Give t(-7).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) be the second derivative of 0*l**4 - 1\/5*l**5 - 7\/2*l**2 + 0 + l + 0*l**3. Differentiate m(f) wrt f.\nAnswer: -12*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 97642093*r**4 + 496396652*r wrt r.\nAnswer: 1171705116*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:23 PM and 12:48 AM?\nAnswer: 385","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i - 18 = -2*l - i, -4*i = -16. Suppose 0 = 4*h + m - 97, -l*h + m + 78 = -2*h. Solve b + 4*b = h for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4333 (base 7) to base 13\nAnswer: 919","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -26\/115 and 66\/3565.\nAnswer: 3565","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8 - 1 + 2)*(3*f - 2*f + 0*f)*(1 - 1 - 3*f).\nAnswer: 21*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-1\/4)\/s**4)**36\/(s**(-2\/11)*s*s**(-2\/15)*s*s*(((s\/(s\/s**(-1\/2)*s*s))\/s)\/s)**(-22)) assuming s is positive.\nAnswer: s**(-42023\/165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.3 in 0, -0.06, -0.4295, -0.4, -5, -3\/2?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 669 - 672. Let b = 0.6 + -0.1. What is the closest to 4 in f, b, -2?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + (5 + sqrt(52) - -4*(sqrt(13) + sqrt(13)*-3))*-3)**2.\nAnswer: -504*sqrt(13) + 4408","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -11 + 11. Suppose 5*x - 3*x + 2*h = 38, j = -5*h - 15. Let p = x - 21. Calculate the lowest common multiple of 10 and p.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -392*q**2 + 4*q + 56*q + 10*q. Let m(b) = 17*b**2 - 3*b. Let s(h) = 3*i(h) + 70*m(h). Let a(y) = -18*y + 17*y + 3*y - 3*y. Calculate a(s(c)).\nAnswer: -14*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00197540872 to seven decimal places.\nAnswer: 0.0019754","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 0.301*22\nAnswer: 6.622","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 24*b - 58 + 10 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -218065579, -218065578, -218065577, -218065576, -218065575, -218065574?\n\"Answer: t - 218065580","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 619 - a**2 - 621 + 2*a**2 + 3*a**2.\nAnswer: 4*a**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -39174 * -14\nAnswer: 548436","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 107235 to the power of 1\/7, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = l**3 - 20*l**2 - 25*l + 11. Let b be y(21). Let c = -78 - b. Does 10 divide 45 - (0 + c + 0)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 16109170 and 4235?\nAnswer: 385","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*b**4 + 0*b**4 - b**5 + (2 - 2 + 3*b**4)*(-5*b + 5*b + 2*b).\nAnswer: 5*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.34383905 - -2.5.\nAnswer: 2.84383905","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-40)\/18)\/((1664\/(-24))\/13).\nAnswer: 5\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -37\/20 and 59\/5762.\nAnswer: 57620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -11 + 10320002?\nAnswer: 10314441","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 21381 and 18?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 50, -3, 10, 23, 14, 4 in increasing order.\nAnswer: -3, 4, 10, 14, 23, 50","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 4 - 2. Calculate the smallest common multiple of q\/4 + (-15)\/(-6) and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 935.\nAnswer: 5, 11, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 4 + 23253033421?\nAnswer: 23253033425","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 385, 771, 1157, 1543, 1929?\n\"Answer: 386*j - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = i**3 - 4*i**2 - 16*i - 61. What is q(8)?\nAnswer: 67","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = 36*b**2 - 7*b + 48. Let t(o) = -37*o**2 + 8*o - 49. Let s(z) = 5*t(z) + 6*y(z). Differentiate s(v) with respect to v.\nAnswer: 62*v - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a = -5*f + 4096, -a - 2 = 1. Is f a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 6 in -0.08, -1\/4, 2\/23, -11, 29?\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 4 + -7. Let n = 45 - 32. Suppose -13*d - 30 + 4 = 0. Sort d, k, n in decreasing order.\nAnswer: n, d, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) be the third derivative of m**7\/1050 - m**5\/300 - 6*m**2. Factor g(z).\nAnswer: z**2*(z - 1)*(z + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1550 - 48451876\nAnswer: -48453426","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: Let i(m) be the second derivative of 6*m - 41\/15*m**6 - 1\/6*m**3 + 4 + 0*m**4 - 27\/2*m**2 + 0*m**5. Find the second derivative of i(n) wrt n.\nAnswer: -984*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.61 * -239.\nAnswer: 145.79","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(10)\/(sqrt(80)*6).\nAnswer: sqrt(2)\/24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 83 - 76. Solve 5*x - 4*v + 21 = 0, 4*v = 3*x + 12 + r for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 11 + -19. Let y = 209 + -224. Let n = f - y. List the prime factors of n.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 118, 0.2, -19\/4, -17, -5?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.18 + -229184.\nAnswer: -229184.18","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17 = -3*o - 4*l, 4*l - 5 = o - 0*l. Let j be ((-2)\/(-8))\/((-1)\/(-4)). What is the greatest common divisor of j and o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 827.\nAnswer: 827","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 108 + -68. What are the prime factors of l?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 103285 and 63665?\nAnswer: 187875415","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.09, -3, -41, 0, -0.5.\nAnswer: -41, -3, -0.5, 0, 0.09","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (-98826)\/9412 - 107\/(-2)\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = d**2 + 5*d - 1. Let x(n) = -n + 2. Let y be x(7). Let r be t(y). Put r, 5, 1 in descending order.\nAnswer: 5, 1, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c = x - 4 - 6, 28 = 4*c + x. Suppose -5*w - 1011 = t - 5473, 0 = 2*t + c. Is w a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -4225 + 4225. Put -6, o, -28, 3 in descending order.\nAnswer: 3, o, -6, -28","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 4, e: 2, s: 4, a: 2}. What is prob of picking 2 a?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/(-10)*(-805)\/161?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 21196, 21195, 21192, 21187, 21180?\n\"Answer: -v**2 + 2*v + 21195","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31 + 35 = 4*x - 3*y, -x - 6 = y. Which is the biggest value? (a) -1 (b) -0.1 (c) x (d) 2\/13\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1947 is divided by 323?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -690 + -786. Let p = u + 1476.2892. Let i = 0.28 - p. What is i rounded to 3 dps?\nAnswer: -0.009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*r**2 + 5*r**4 - 5*r**2 + 3*r**3 + r**4 - 3*r**3 + (-2*r**2 - 3*r**3 + 2*r**2)*(4*r - 4*r - 2*r) to m*r**3 + n*r**4 + a*r + q + b*r**2 and give q.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -2*r**3 - 2*r**2 - 12*r + 6. Let i(m) = -m**3 - 2*m**2 - 11*m + 6. Let g(n) = -7*i(n) + 6*s(n). Is g(-3) a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j + z = -2*z - 657, -4*j - 3*z - 872 = 0. Let v = 312 + j. What is the units digit of v?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16376305151 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 5 (b) 36371 (c) -155\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 69894*f - 139700*f = -69897*f - 10556 for f.\nAnswer: -116","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 u when two letters picked without replacement from uuuwuuwuuwuwuw.\nAnswer: 36\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 14 + 132000423?\nAnswer: 132000440","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand -11 + 11 - 2*i**3 + (5 - 3 + 3)*(-3*i**3 + 2*i**3 - i**3).\nAnswer: -12*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 102 a factor of 425758608?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -72 + 315. Suppose -3*k - 38 = -5*o - 28, -3*k + 4*o = 5. Suppose -4*c - w = -k*n - 55, -3*c = -2*n + 78. What is the tens digit of n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 21818684?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in three eighths of a kilometer?\nAnswer: 37500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/3, 12, 75, -0.3, 5, -8 in increasing order.\nAnswer: -8, -0.3, 1\/3, 5, 12, 75","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Product of 7 and -36004.\nAnswer: -252028","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2109 + 4062. Let p = 2 + 15. Suppose -p*b + 10*b = -t. What is the units digit of b?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 780778355 divided by -7\nAnswer: -111539765","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put 4\/5, -3, -5\/4, 4\/9, 20 in descending order.\nAnswer: 20, 4\/5, 4\/9, -5\/4, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2546 (base 7) to base 14.\nAnswer: 4cd","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 110, -3, 1, 3 in increasing order.\nAnswer: -3, 1, 3, 110","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 6309 and 27.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 4, r: 5, q: 7}. What is prob of sequence qg?\nAnswer: 7\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of ((15 - 3)*1)\/1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) be the second derivative of u**5\/24 - 5*u**4\/24 + u**3\/6 + 11*u**2\/2 - 9*u + 3. Let q(h) be the second derivative of j(h). What is q(-4)?\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 14951?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 0\/(-6) - (52 + 4). Let g = x - -82. Calculate the remainder when 46 is divided by g.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -0.3 and -9045 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + 190 = -11. Suppose 5*y - 3*n - x = -0*n, -y + 2*n = -19. Calculate the remainder when 32 is divided by y.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -7*v**2 - 2*v + 25. Let z(x) = 3*x**2 + x - 10. Let w(d) = -2*a(d) - 5*z(d). Let i(f) = 5*f**2 + 6*f. Give -i(p) - 6*w(p).\nAnswer: p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*q**2 - 167 - 11*q**2 + q**2 - 2*q**3 + q**2.\nAnswer: -2*q**3 - 167","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) be the third derivative of 5*v**4\/24 + 203*v**3\/6 - 190*v**2. Let n be q(-38). Solve n*l + 27 - 1 = 0 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -520, -2, -8, 10, -3, -79 in ascending order.\nAnswer: -520, -79, -8, -4, -3, -2, 10","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 vnvvvvvvvnvvvvvvvvvv?\nAnswer: 153\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -2*f**3 - 4*f - 1. Let b(c) = -c**3 - c**2 + 1. Let u(q) = 3*b(q) - z(q). Suppose -2*x - 2*j = 6, -5*j = -36*x + 38*x + 6. Determine u(x).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*k**5 + k**5 + 0*k**5 - 5*k**5 + 4*k**5 + 2*k**5 + (2*k**4 + k**4 - 4*k**4)*(4 - 2*k - 4) - 2*k**5 + 2*k**4 - 2*k**4 + 6*k - 6*k - 3*k**5.\nAnswer: k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -4*b**2 + 5*b + 382. Give w(-12).\nAnswer: -254","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = 2*a + 36. Let v be s(-16). Suppose -g - 3 + 7 = 0. Suppose 0 = -g*k + 30 + 50. Calculate the greatest common factor of k and v.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -221*v - 2. Let z(n) = -n + 8. Let g(h) = 2*h - 12. Let y(i) = -2*g(i) - 3*z(i). Determine x(y(d)).\nAnswer: 221*d - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 51680 a multiple of 160?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from lllllll. What is prob of picking 4 l?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 3144 + -604?\nAnswer: 2240","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*z + 298 - 6*z + 15*z - 97.\nAnswer: -2*z + 201","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z - z + 12 = 0. Suppose -20 = p + 3*p - z*x, 0 = 3*x - 9. Sort -4, -1, p.\nAnswer: -4, p, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 4, d: 15}. Give prob of sequence wwd.\nAnswer: 10\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jyjpwjwppgv. Give prob of sequence yp.\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let -k**3 - 549*k**2 - 18792*k - 166212 = 0. Calculate k.\nAnswer: -513, -18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -1211, -1205, -1187, -1151, -1091, -1001?\n\"Answer: j**3 - j - 1211","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -2\/19, -739, -15, 2\/9 in decreasing order.\nAnswer: 2\/9, -2\/19, -2, -15, -739","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (20 - 14*x - 20)*(-x**4 - 3*x**4 + 2*x**4) + 35*x**2 + 6*x**5 - 35*x**2 - 2*x**5 + 3*x**2 - 3*x**2 + (4*x**4 - x**4 - x**4)*(4*x - x - x).\nAnswer: 36*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 161610, 161624, 161674, 161778, 161954, 162220, 162594, 163094?\n\"Answer: 3*l**3 - 7*l + 161614","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6.4*1528.\nAnswer: 9779.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -4070 - -4071. Which is the nearest to 0? (a) h (b) -16\/3 (c) -2\/11 (d) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 17927\/1748 + -5\/874. What is the closest to 4 in -2\/11, -0.5, w, -0.2?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2072183?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-7)\/21*15 - -10.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 303971*k**3 - 152168*k**3 - 151788*k**3.\nAnswer: 15*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express -166*w**3 + 184*w**3 - 2 - w**4 + 2 - 6131*w**2 - 3*w + 6130*w**2 as q*w**3 + g*w**4 + r*w**2 + s + z*w and give r.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-3)\/(-2) - 4\/(-8). Let r = 2\/241 - -460\/2651. Suppose -2*q - 21*b = -20*b + 4, -q - 3*b = -3. Sort q, c, r in increasing order.\nAnswer: q, r, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 32 divide 168389184?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (0 + (-3)\/3)*-3. Suppose 3*m + 22 = -5*l - 0*m, 0 = -2*l + i*m + 8. Which is the smallest value? (a) 4 (b) 2 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 62967?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**(-1\/11)\/(n\/n**(-10)*n)*n\/((n*n*n**(-1\/2)\/n)\/n)*n*n**(1\/10))**(-1\/52))**38 assuming n is positive.\nAnswer: n**(4959\/715)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 5\/7 (b) -17057 (c) -0.02 (d) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*m**2 - 5*m**3 - 3*m**2 + 12*m**3 - 2 in the form o*m**3 + f*m**2 + v + c*m and give v.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 3, j: 5, o: 5}. Give prob of picking 2 o.\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1 - 0. Let a be 3 + (0 - (-1 + w)). Suppose 34 = -0*x + 3*x + m, a*x - 36 = -3*m. What are the prime factors of x?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p + 0 = 4. Let w = 1488 + -1483. Put -2, p, 2, w in descending order.\nAnswer: w, p, 2, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 941065388 to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 79068663*c**4 + 71839962.\nAnswer: 316274652*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -988951*a**4 - 2987022.\nAnswer: -3955804*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 123 is divided by 73?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1199 is divided by 12?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j**4 - 211200*j**3 + 23913770*j**2 - 663899520*j - 688024485 = 0. What is j?\nAnswer: -42353, -1, 57","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put -580, -11\/3, 5 in increasing order.\nAnswer: -580, -11\/3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*w**2 - 4*w + 4*w)*(w + 0*w - 3*w)*(-8 + 1 + 3)*(16 - 3 + 2)*(-19*w + 74*w + 17*w) in the form u*w**3 + c*w**2 + f + t*w**4 + k*w and give t.\nAnswer: 17280","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2660\/98 + (-3)\/21. Solve -u*n + 6*n - 21 = 0 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1 - -1. Let t = 20995 + -104543\/5. Let a = t - 86. Do q and a have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 41719 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -7195a42 (base 11) to base 7\nAnswer: -212651034","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -107\/2143288 and -31\/15270927.\nAnswer: 122167416","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (sqrt(192)*2*-6 + sqrt(192) - (1*sqrt(192) + -5))**2.\nAnswer: -960*sqrt(3) + 27673","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 74*g - 61 - 309. Put 7, g, -3, -5 in decreasing order.\nAnswer: 7, g, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -4*u - 27. Let v be z(-8). Suppose -4 = -5*g - r, v*g + 5 - 21 = -4*r. Solve 0 + 0*n + 1\/5*n**5 + g*n**3 + 0*n**2 + 0*n**4 = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = 6*t**3 - 3*t. Let h(q) = q**2 - 12*q + 8. Let o be h(11). Let p(m) = 17*m**3 - 8*m. What is o*p(s) + 8*w(s)?\nAnswer: -3*s**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 u and 1 q when four letters picked without replacement from {u: 3, l: 2, q: 10, g: 5}?\nAnswer: 2\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -23*h**2 - 10*h**3 - 4 + 23*h**2 with respect to h.\nAnswer: -30*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-144)\/20*155\/12276*-6.\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -24160.0033768 + 24160. Round o to four dps.\nAnswer: -0.0034","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22*m - 25*m = -5*r + 17, -5*r + 1 = m for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y - y - 6 = 0. Suppose -z = 5*u - 4, -y*z - 4*u + 23 = z. What are the prime factors of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -j**3 - 3*j**2 + 6*j - 7. Let l be (-4)\/20 + (-16)\/(-5). Suppose -l*b + 3*p + p = 19, -b - 5*p = 0. What are the prime factors of v(b)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = h - 1. Suppose -4*l - 4*z - 3 = 13, 5*z = 5*l. Let t be l - ((-4)\/4 + 1). Let m(r) = r. What is t*n(p) + m(p)?\nAnswer: -p + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1520*l + 214*l - 1097*l = 231*l - 129066 for l.\nAnswer: 49","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -33*g - 379. Let n be v(-12). Solve 5 = -4*h + n, 0 = -4*c - 5*h + 15 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in -30286, 0.4, 2\/3, 5?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2\/(39\/36 + -1) is divided by 13.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -168360709*a**4 - 66233123 wrt a?\nAnswer: -673442836*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2080561?\nAnswer: 7, 83, 3581","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s and 2 a when three letters picked without replacement from rswsarwwsaass?\nAnswer: 15\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is -2394 > -2392?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/(z**(-1\/5)\/z)*z*z**(-1\/5)\/z)**(3\/26)\/((z*z\/(z**(-3\/4)\/z)*(z*z**7)\/z)\/(z*z**(-2\/3)*z)**(2\/63)) assuming z is positive.\nAnswer: z**(-102967\/9828)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0901012l in millilitres?\nAnswer: 90.1012","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.143 + -9.843. What is a rounded to zero dps?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1\/9471 (b) -2.7 (c) -5 (d) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = 6*y**3 - 2*y - 1. Let p be m(-1). Let d = p - -15. What is the units digit of d?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 3 + 24\/(-9) - (-5)\/3. Let w = 46 + x. What is the highest common factor of w and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 1.9 (b) 0.5 (c) -2 (d) 6\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/3? (a) 0 (b) 6 (c) 1 (d) 2\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -83*l - 779. Calculate h(-10).\nAnswer: 51","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k - 1 = x, x + k = 2*x + 2. Let y be (-2)\/(-16)*-3 + 6\/(-4). Which is smaller: x or y?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 448 and 128.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.06077 times -36.578?\nAnswer: -2.22284506","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/5? (a) 4 (b) -2 (c) 3947619\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -3*a + 12. Let i(m) = -a*m - m - 3*m + 6*m. Let b(l) = -5*l**2. Calculate b(i(q)).\nAnswer: -45*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*c = 6 + 54. Let b = 4 - c. Let n = b - -3. Calculate the remainder when 67 is divided by n.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -h + 3. Let d be j(11). Let q(r) = -r**2 - 9*r - 10. Let t be q(d). Find the common denominator of 101\/10 and (-106)\/14 - t\/(-7).\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = 3*y**2 - 11*y + 123. Does 13 divide s(-10)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*s + 2 = 3*d + 4*d, -16*d = -3*s - 51 + 7 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u*u\/u**(-1\/3)*u)**(-9))**(2\/9) assuming u is positive.\nAnswer: u**(-20\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1240*f + 2548*f + 1 - 660*f + 4.\nAnswer: 3128*f + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2 by -188244.\nAnswer: -1\/94122","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -97 - -42. Let b(r) = r**3 + r**2 - 61. Let h be b(0). Let i = v - h. Solve -4*m - 14 = i for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 31\/3? (a) -4 (b) 4 (c) -0.6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.008388689 rounded to 3 dps?\nAnswer: 0.008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**(3\/5))**(-22))**(-34) assuming v is positive.\nAnswer: v**(2244\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 125*k + 7055 = 3*k + 711 for k.\nAnswer: -52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 5 - 0. Suppose 0 = -a - s + 7. Let g(j) = -5*j**2 - 11*j + 1. Let o(d) be the second derivative of -d**4\/12 - d**3\/3 + 2*d. Give a*g(p) - 11*o(p).\nAnswer: p**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 44*b - 18633 + 18325 = 0 for b.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*b - 5*b - 5*m + 22, -5*m + 36 = 3*b. Suppose -b*c = -517 - 239. What is the highest common divisor of 48 and c?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h = h - 456. Let v = -143 - 164. Let n = v + h. Is n prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*u - 6 - 12 = 0. Let 7*k**4 + 6*k**u + 6*k**3 - 11*k**2 - 9*k**3 + 4 - 3*k**5 = 0. Calculate k.\nAnswer: -1, -2\/3, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15233?\nAnswer: 15233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (7 + 6 - 14) + -9\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = q + 2. Let o(k) be the first derivative of -k**2 - 5*k + 1. Let f = -16 - -11. Let z = 0 - f. What is z*t(b) + 2*o(b)?\nAnswer: b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a - 24 = 3*h, -13 - 14 = a + 4*h. Which is bigger: -8 or a?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2.5 + 3. Let i = 3079 + -1943. Let z = 1138 - i. Which is the closest to 0.12? (a) 5 (b) z (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-2 - 1)\/((-33)\/440). What is the greatest common divisor of 5 and v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -1198792*n**3 + 75*n - 309590362 wrt n.\nAnswer: -3596376*n**2 + 75","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -5*x**2 + 5*x - 4. Let z(p) be the third derivative of -p**5\/10 + 5*p**4\/24 - 5*p**3\/6 + p**2. Let t(d) = 7*s(d) - 6*z(d). Let m = 3 + -6. Give t(m).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -3 + 2 - 1 - z + 0. Let r = -5 + 1. Calculate f(r).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8850000 rounded to the nearest 1000000?\nAnswer: -9000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1138 - 652. Calculate the highest common divisor of 108 and g.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pc when two letters picked without replacement from {c: 6, p: 1}?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = 18*w - 3. Let n be o(2). What is the common denominator of -13\/9 and (4\/(-12))\/(n\/387)?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1080 and 1072224.\nAnswer: 5361120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 o and 2 v when four letters picked without replacement from {j: 5, z: 1, v: 5, o: 5}.\nAnswer: 5\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 688897, 1377892, 2066983, 2756170, 3445453?\n\"Answer: 48*k**2 + 688851*k - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 583.0924ml?\nAnswer: 0.5830924","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is seven sixths of a year in months?\nAnswer: 14","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1095982 is divided by 85?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 704 is divided by 41.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*r - 2 = r for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ud when two letters picked without replacement from {d: 1, u: 1, q: 2}.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -11 + 13. Let v = 17 - 13. Calculate the remainder when (3\/9)\/(m\/90) is divided by v.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = p**3 - 4*p**2 + 4*p + 1. Let q(u) = -2*u**3 + 9*u**2 - 8*u - 3. Determine -9*j(i) - 4*q(i).\nAnswer: -i**3 - 4*i + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -38 - -40. Let v = 146 + m. Is 24 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -3 and -21092203?\nAnswer: 63276609","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-1\/3)\/o)**(-18)*(o*o**(-1\/2))\/o**(-2\/23) assuming o is positive.\nAnswer: o**(1131\/46)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -94*c**4 + 108*c**2 - 10*c - 10. Let s(l) = 31*l**4 - 36*l**2 + 3*l + 3. Let t(f) = -10*s(f) - 3*u(f). Find the third derivative of t(q) wrt q.\nAnswer: -672*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 j when two letters picked without replacement from jaj.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -3 + -1 + 1 + 0. What are the prime factors of (z - 0) + 2 + 59?\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 3, i: 4, g: 2, v: 1}. Give prob of picking 1 i and 1 g.\nAnswer: 8\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence eueu when four letters picked without replacement from geeoueeeeoeogggueee?\nAnswer: 5\/2584","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 27\/97 and 61\/10?\nAnswer: 970","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 1358236456?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(sqrt(242) + (sqrt(242) - (2 + sqrt(242) + sqrt(242) + sqrt(242))*3)**2 + (sqrt(242) - (sqrt(242)*3 + -3))).\nAnswer: 6270*sqrt(2) + 93162","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**3)**(6\/23)*(j**(-2\/13))**(-3\/7) assuming j is positive.\nAnswer: j**(1776\/2093)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -28 + (62 - (69 + -37)) + (90 - 1)?\nAnswer: 91","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = 3*i**2 - 4*i - 4. Let d be 0 + ((-2)\/1 - -4). Suppose -4*m - 15 = y, y + 7 = -d*m - 0*y. Let g(w) = w - 1 - 2 - 1 + 5. Calculate m*g(q) - s(q).\nAnswer: -3*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 15, -5, -39, -87, -149, -225?\nAnswer: -315","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -582 + 714. What is the tens digit of r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 31.9862793 - 35.956278375. Let p = -3.97 - h. What is p rounded to seven dps?\nAnswer: -0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 5 + (-36)\/(-27)*(-3)\/2. Let u be (-4 + 10)*h\/2. Solve -z = 3*z - 4*l + 12, 0 = -4*z + l - u for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 908221 is divided by 181477.\nAnswer: 836","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = 3*i**3 - 5*i**2 + 14*i - 52. Let t(d) = -4*d**3 + 6*d**2 - 17*d + 57. What is 5*l(u) + 4*t(u)?\nAnswer: -u**3 - u**2 + 2*u - 32","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5432*l**2 + 10 - 13*l**4 + 15*l**4 - 16*l**3 + 16*l**3 - 39*l - 5431*l**2 to the form p*l**2 + s*l + u*l**3 + o*l**4 + n and give s.\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -50, -0.1, 1\/16, 5, -9?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*a + a + 2*x + 42, -5*a + 5*x = 95. Let u(p) = 2*p**2 + 21*p + 1. What are the prime factors of u(a)?\nAnswer: 3, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 3\/4, 4, -7\/8, 1, 10?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = 18*y**2 + 129*y + 335. Give i(-7).\nAnswer: 314","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-2 + 3 - 4) + (-5 - -320)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 71 divide 341694032?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -240\/791 + 2\/113. What is the third smallest value in f, 0.1, -1\/9?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -2*h**3 - 5*h. Suppose -2*z + 26 = 8*q - 3*q, -4*z = -4*q + 4. Let y(j) = -2 + 2 + q*j - 5*j. Determine l(g) - 3*y(g).\nAnswer: -2*g**3 - 2*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) be the first derivative of -15*b**3 + 9*b**2 + b + 41. What is the second derivative of q(f) wrt f?\nAnswer: -90","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-7 - 0) + (7 - (-8 - -12)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -q**3\/3 - 94067*q**2\/3 + 2446249*q\/3 - 15901717\/3.\nAnswer: -(q - 13)**2*(q + 94093)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 252 is divided by 65?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -8.05 + 0.05. Let l = b - -6. Suppose 0 = -3*w + 8*w - 20. What is the third smallest value in l, w, -0.5?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -x**2 + 277*x - 6784. Calculate k(33).\nAnswer: 1268","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a - 6*a + 6 = 0. Suppose -h + 31 = 5*d, 4*h + a - 1 = d. Solve -4*q = -l + 3*l - d, -4*l + 2*q = 18 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1201*m**3 - 11430*m**2 wrt m.\nAnswer: 7206","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = 4*w. Let o(b) be the third derivative of -17*b**4\/3 - b**3\/6 - 135*b**2. Calculate o(g(z)).\nAnswer: -544*z - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 5*(140\/(-25))\/(-7)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 358.34 - 309. Let i = d - 50. Let t = -0.6599854 - i. Round t to 6 decimal places.\nAnswer: 0.000015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-four fifths of a decade in months?\nAnswer: 816","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/(i**(2\/7)*i)*i)\/((i*i**(-3\/7)\/i)\/i) assuming i is positive.\nAnswer: i**(15\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 1397660053 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 74 + 46 = 20*i. Calculate the common denominator of -19\/8 and 1222\/416 + i\/(-2).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a = 5*j - 199706, 5*j - 199707 = -111*a + 108*a. What are the prime factors of j?\nAnswer: 2, 3, 7, 317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*b**3 + 3*b**3 - 2*b**3 + (2*b - b**2 - 2*b)*(1 - 6*b - 1) + 2*b**2 + b**3 - 2*b**2.\nAnswer: 5*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-2\/7))**(-32)*k**6\/(k**(-5\/6)*k) assuming k is positive.\nAnswer: k**(629\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j = -8 - 12. Let q = -79 - -77. Put j, -4, q in decreasing order.\nAnswer: j, q, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -68*p**2 - 69*p + 69*p to the form o*p + r + x*p**2 and give x.\nAnswer: -68","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*i + 222 = 10*i. Suppose -3*w - i = -5*k, 5*k + 5*w = w + 229. What is the units digit of k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**44)**(-2\/11)\/(((c**(-42)*c*c)\/c)\/(c**(-33)\/c)) assuming c is positive.\nAnswer: 1\/c","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -f**3 - 3*f. Let w(h) = -2*h**3 + h**2 - 7*h. Determine -14*b(m) + 6*w(m).\nAnswer: 2*m**3 + 6*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 5 - 0. Suppose -r*i - 216 = -4*p, 2*p + 4*i + 43 = 3*p. Is 24 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 21 + -10. Suppose 0*m - 3 = m. Let h = m - -4. What is the highest common factor of l and h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1359084?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4.2 in 1\/3, 8, 2\/21, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 235 minutes before 10:54 AM?\nAnswer: 6:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5*-1014018.\nAnswer: -5070090","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = 3*u**2 + 7*u + 3. Let b(g) = 11*g**2 + 22*g + 9. Let f(w) = -2*b(w) + 7*j(w). Determine f(6).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 8.7 - 9.3. Let t = 238\/5 - 48. What is the nearest to 2 in t, o, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) be the third derivative of h**4\/24 - 2*h**3\/3 + 3*h**2. Let y be i(5). Solve 0*b = -b - y for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 564 + -563.97936. What is t rounded to 2 decimal places?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(720)*5 - sqrt(720))**2*-5 + 0 + (sqrt(720) - sqrt(720)*4)**2 + -4 + -4 + (3*sqrt(720) - sqrt(720)) + 3.\nAnswer: -51125 + 24*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (7\/(-28)*4)\/(9\/(-2))?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 0, -2, -1, -9112, 11.\nAnswer: -9112, -2, -1, 0, 2, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 21\/14*(-3162)\/(-9) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m*m**(-6)*m)\/m**(-3\/4)*((m*m**(-3\/8)\/m*m*m)\/m)\/(m\/(m**5\/m)))\/((m**(-2\/5))**(-4\/19)*((m\/(m*(m**(-1\/4)\/m)\/m))\/m)**(-4\/7)) assuming m is positive.\nAnswer: m**(5347\/5320)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -548 - -30243?\nAnswer: 2a7a6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand z**2 - 12*z**2 + 5*z**2 - z**2 + 2*z**2 - 2*z**2 + (-4 - z + 4)*(-3*z + z + 0*z).\nAnswer: -5*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 49912898 to the power of 1\/7, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 26254\/873 or 30?\nAnswer: 26254\/873","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*z + 0*z - 2*z + (-3 + 1 + 0)*(-z + z - z) + (0 - 1 - 1)*(0*z - 2*z + 4*z))*(-2*z + 2*z - z**2).\nAnswer: 7*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 5157\/7310 + -4\/731. Which is the biggest value? (a) 0.5 (b) 0.1 (c) l (d) -21\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(sqrt(88)\/sqrt(275) - sqrt(8)).\nAnswer: -8*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (20\/(-15))\/(1\/(-3)). Suppose -j*q + 4010 - 1170 = 0. What is q rounded to the nearest 100?\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2535768827 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = 2*p**2. Let v(q) be the second derivative of 2*q**3\/3 - 5*q**2\/2 - 6*q. Let f be v(2). Let y(d) = 12*d + f*d - 26*d. Determine y(k(o)).\nAnswer: -22*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 5\/24 - -1\/8. Let w be 0 + (182\/(-56) - -2). Which is the fourth smallest value? (a) 2\/9 (b) v (c) w (d) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (9*2 - 1) + -3. Calculate the highest common factor of n and 56.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve t = -3*t + 2*m - 22, 4*t + 2*m + 2 = 0 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -j**3 + 4*j**2 - 2*j + 2. Let l = 49 - 13. Suppose r = 5*r + l. Let w be 12\/r*(-6)\/4. What is p(w)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1.9 - 0.4. Let k = -2 - q. Which is the second smallest value? (a) k (b) -1\/6 (c) 1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 60 - 58. Put w, 5, -2 in descending order.\nAnswer: 5, w, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-8)\/92 - 71032\/(-92) is divided by 39?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (4\/14 - 1)\/((-11)\/77). Suppose -7 = -z*u + 2*l, -8*u - 5*l - 3 = -6*u. Solve -2*m + 6 = 0, -u + 0 = 2*h - m for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = i**3 - 4*i**2 - i - 1. Let v be l(5). Let r = -2 + v. Suppose -m + 0*m = r. Round m to the nearest ten.\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -166443 (base 10) to base 7.\nAnswer: -1262154","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 9148 and 67901030.\nAnswer: 4574","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) 3\/2 (b) 2 (c) -1\/4 (d) 1 (e) 24\/17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v + 1085012 = -8*g, 354*v - 356*v - 2*g + 542512 = 0. Is v composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -18735488, -37470964, -56206440?\n\"Answer: -18735476*c - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 235 minutes before 6:31 AM?\nAnswer: 2:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*b - b + b)*(-53*b**3 - 50*b**3 + 12*b + 100*b**3) in the form g*b**4 + v*b + t*b**2 + j*b**3 + a and give t.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -58, -232, 2\/5, 0.185, 0.1 in descending order.\nAnswer: 2\/5, 0.185, 0.1, -58, -232","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18*o**2 + 8*o - 8*o - 14*o**2.\nAnswer: 4*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 437 - 427. Solve 28 = p*j - 3*j for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b + 5*j - 9 = 0, -7*b = -5*b - 2*j - 6. Let n be b + -1 + 5 + (-27)\/4. Factor n*c**2 + 0 + 0*c + 1\/4*c**3 - 1\/4*c**4 - 1\/4*c**5.\nAnswer: -c**2*(c - 1)*(c + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*u - 11 + 8 = 0 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 55145*l**2 - 4*l + 181391 wrt l?\nAnswer: 110290*l - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2 - 3. Let c = b - -0.938. Round c to 2 dps.\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2776301384.\nAnswer: 2, 1543, 224911","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 48135 to the nearest integer?\nAnswer: 219","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -20*n + 20*n + 128*n**3 - 1. Is c(1) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10b43 (base 13) to base 10\nAnswer: 30475","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = x + 3. Let j(k) = -7*k - 17. Let s(u) = -j(u) - 6*z(u). Let v(t) = 2*t**2 - t + 1. What is -2*s(h) - v(h)?\nAnswer: -2*h**2 - h + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -11 - -54. Suppose -310 = 2*r + 4*b - 8, -b - 156 = r. Let q = r - -176. Calculate the remainder when d is divided by q.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*s + 4*d + 7407, 5*s - 2441 = -d + 4951. What is the units digit of s?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 0.2 and -119\/9 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -o**2. Let p(x) = -2232*x. Let t(f) = -31*f. Let w(m) = -3*p(m) + 217*t(m). Calculate w(j(r)).\nAnswer: 31*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/(i\/i**0))**(-49)*(i**(1\/3))**34 assuming i is positive.\nAnswer: i**(34\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(sqrt(42)\/sqrt(6)*-1 - sqrt(7)) + 2.\nAnswer: -2*sqrt(7) + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.3, -1\/3, -0.2, 0.7, 2\/11 in ascending order.\nAnswer: -1\/3, -0.3, -0.2, 2\/11, 0.7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-4)\/18)\/(20\/(-90)))\/5.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 101684716?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*c**3 - 4*c**3 + 12*c**3 - 2*c**2)*(0*c + 0*c + 2*c**2).\nAnswer: 2*c**5 - 4*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 1244908 a multiple of 50?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 0.4, 0.5, 2, -431.\nAnswer: -431, -2, 0.4, 0.5, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 1594647, 12757257, 43055765, 102058119, 199332267?\n\"Answer: 1594658*x**3 + x**2 + x - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -853*x**2 + 19*x - 171. Let t(v) = 83*v**2 - 2*v + 17. Give -21*t(c) - 2*y(c).\nAnswer: -37*c**2 + 4*c - 15","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12039 is divided by 1090.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 13175010037 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1642?\nAnswer: 2, 821","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w + 4*n - 28 = 0, n = -5*w - 2*n - 43. Let i = w + 6. Is i not equal to -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1079988\/414 + (-5)\/3?\nAnswer: 3, 11, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -6*s*v**2 - s*v - 566*s - v**2 wrt v.\nAnswer: -12*s*v - s - 2*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2038?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -242*c**4 - 6*c**3 + 2310*c - 1 wrt c.\nAnswer: -2904*c**2 - 36*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.12 - -0.28. Let q = -0.2 + -2.8. Which is the nearest to -1? (a) t (b) q (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10350.\nAnswer: 2, 3, 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m - 3 - 5 = 4*w, -w = -4*m - 3. What is the third smallest value in 0.1, 27, w, 3\/4?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -w**3 - 40*w**2 + 221*w - 219. Let v = 2920\/11 - 266. Find the common denominator of v and y(-45).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) be the third derivative of 21*y**5\/10 + y**4\/12 - 5*y**3 - 11*y**2 - y. Find the second derivative of v(g) wrt g.\nAnswer: 252","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(3 + 2*sqrt(13) + sqrt(13))*2 + 5)**2.\nAnswer: 2952*sqrt(13) + 18529","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = 2*t**2 - 59*t + 504. Let i be x(21). What is the highest common divisor of 2352 and i?\nAnswer: 147","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -60a - 5972?\nAnswer: -627c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 6\/5 of a century?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 956 a multiple of 38?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*v - s + 27 - 97, -3*v + 2*s = -35. Calculate the smallest common multiple of 4 and v.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2 + (-84)\/49 - (-1)\/21. What is the fourth biggest value in q, 1\/4, -5, -1\/7?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -4.1 - -0.1. Which is the biggest value? (a) f (b) -2\/7 (c) 9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(sqrt(120)\/(3*sqrt(150)))\/((sqrt(10) - 3*sqrt(360))*2).\nAnswer: -sqrt(2)\/510","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4245 by -5.\nAnswer: -849","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = t + 11. Let v be p(-11). Suppose 5*f - 3 - 12 = v. Suppose f*j - 7*j + 308 = 0. Is j prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + (sqrt(2) + -2 + 3 + -3 - (sqrt(242) + 1 + (sqrt(2) + sqrt(2)*-1)*-5)) + 1)**2.\nAnswer: 60*sqrt(2) + 209","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 7 by -56.\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3 - -14. Let t = -17 + i. What is the third biggest value in t, -8\/5, 1\/7?\nAnswer: -8\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 28478 and 12?\nAnswer: 170868","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-19)\/12)\/(12\/32) + (-158)\/(-711). Suppose 5*h + 9 = -1. Is (h\/m*3)\/(201\/50786) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 20201200 - 202102?\nAnswer: 12222021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 4252315.3 to the nearest one hundred.\nAnswer: 4252300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = 4*t + 21. Give n(-5).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k = -5*x + 20, 2*k = -x + 38 - 2. Is 4 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -20981, -166636, -561965, -1331804, -2600989, -4494356, -7136741, -10652980?\nAnswer: -15167909","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-916)\/(-15114) - 392\/(-66). Let x = 80 - 54. Suppose 0 = -x*t + 23*t + c. Solve s = -b + t*s, 0 = s + 1 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 14109797, 14109900, 14110015, 14110148, 14110305, 14110492, 14110715?\n\"Answer: d**3 + 96*d + 14109700","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) be the second derivative of 7*n - n**3 + 0 + 3\/2*n**2. What is the first derivative of i(x) wrt x?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 330\/(-22)*(3\/15)\/(12\/(-30)).\nAnswer: 15\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h**0*h*h)\/h)\/(h\/(h\/(h*h**(2\/15)\/h*h))))\/(h**24\/h)**31 assuming h is positive.\nAnswer: h**(-10697\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**(-2)*(b**11*b*b)\/b*b\/((b*b**(-3\/2)*b*b)\/b)*b\/((b**(-9)\/b)\/b*b) assuming b is positive.\nAnswer: b**(43\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (49\/(-49))\/((-27)\/(-18)*(-20)\/15)\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1416 and 2325.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -24*d**3 - d**2 - 2*d - 1. Let z be r(-1). Let o = 40 + z. Calculate the highest common divisor of o and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 335483?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*n = 45*n - 496. What is the least common multiple of n and 104?\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 131 + -117. Suppose -2*w + 49 = 3*g, -g - 5 = -2*g + 5*w. Let q(c) = -2*c - l*c - g - 1. Let u(n) = 3*n + 3. What is 4*q(a) + 22*u(a)?\nAnswer: 2*a + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -215 - -218. What is the units digit of d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 5 (b) -0.1 (c) 3.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 1, x: 3, k: 2, s: 3, n: 2, i: 9}. What is prob of sequence nun?\nAnswer: 1\/3420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 585429.\nAnswer: 3, 13, 17, 883","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -7*m + 2. Suppose -6*o + 5*q = -4*o - 152, 0 = -o - 4*q + 50. Let l(n) = 274*n - 5 - 65*n - 64*n - o*n - 64*n. Calculate 9*c(z) + 4*l(z).\nAnswer: -3*z - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*h - 4*d = -4*h - 12, 0 = -2*h + 4*d for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -b**2 + 5*b - 2. Let u be w(3). Suppose 0 = u*c + 5*z + 1, -c + 2 = 3*z - z. Let i be (-6 - (-2 + 0)) + -1. Which is greater: c or i?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -65, -3382.\nAnswer: -3382, -65, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = 67*b**3 + b**2 + b - 1. What are the prime factors of v(1)?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor k**2 - 115848426*k + 3355214451669369.\nAnswer: (k - 57924213)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 2, v: 1, s: 3, q: 1, r: 6}. What is prob of picking 1 s, 1 r, and 1 v?\nAnswer: 9\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*d - 3*d - 8*d + 98 + 441 = 0 for d.\nAnswer: 49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 4, l: 2, d: 2, v: 10, e: 1}. Give prob of picking 1 e, 1 l, and 1 o.\nAnswer: 8\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14*g - 2 + 16 - 5*g - 2*g.\nAnswer: 7*g + 14","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17*p - 2*p - 19*p.\nAnswer: -38*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -23139, -45662, -68185, -90708?\n\"Answer: -22523*p - 616","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = 8*w - 1. Give g(1).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -s**3 + 6*s**2 + 6*s + 2. Let t be v(7). Let c = -1 - t. Calculate the greatest common divisor of c and 32.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11101100110110100110011 - -101?\nAnswer: -11101100110110100101110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = 6*g**2 - 6*g. Let p(u) be the second derivative of u**7\/2520 - u**4\/12 + 12*u**2 - 47*u. Let y(v) be the third derivative of p(v). Give y(o(x)).\nAnswer: 36*x**4 - 72*x**3 + 36*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -9201 + 9200.6. What is the biggest value in 2\/43, -2\/3, 10, 0.4, w?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.04636759 and 3?\nAnswer: -0.13910277","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -54 - -54. Solve -2*c - 5*m + 17 = j, -c - 3*m = 2*c - 3 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(68) - -1*(sqrt(68) - 1*sqrt(68))) + sqrt(68) - sqrt(68))\/sqrt(4) - (3 + -1*sqrt(2057)))**2 - (-1*(0 + sqrt(833)) + -5 + sqrt(833)*-1 + 4)**2.\nAnswer: -876 - 100*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 0.6, 1\/4, 1, -2, 2\/9?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = y**3 - 19*y**2 - 10*y + 15. Let b be o(15). Let t = b + -4231. Round t to the nearest 100.\nAnswer: -5300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1499269327?\nAnswer: 1499269327","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (42\/(-63))\/((-2)\/9). Suppose -2*q = -m*q - 4. What are the prime factors of ((-40)\/4 + 2)\/(q\/118)?\nAnswer: 2, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*l + 691*p = 687*p + 4, -7*p + 7 = 0 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 5, -20, -109, -292, -599, -1060?\nAnswer: -1705","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -63050, -60138, -57226, -54314, -51402?\n\"Answer: 2912*m - 65962","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -336635606 - -4.34147\nAnswer: -336635601.65853","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -14*f + 4. Let h(u) = 7*u - 2. Give -7*h(l) - 4*m(l).\nAnswer: 7*l - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 10.2 + -11. Let g = l - -0.838. Let c = 0.572 + g. What is c rounded to 1 dp?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -k + 1 = 152*z - 153*z, 1 = -5*z + k for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-t**4 - t**4 + 3*t**4)*(272 + 503 - 565) - 2*t**4 + 0*t**3 + 0*t**3.\nAnswer: 208*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -230*y**2 + 119*y**2 - 9 + 116*y**2.\nAnswer: 5*y**2 - 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0\/((-1)\/(-1)*2).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-37*z - 19*z + 22*z)*(3 + 2 - 2).\nAnswer: -102*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 - 2)*(-3 - 2*h**2 + 3)*(-3*h - 2*h + 2*h).\nAnswer: -12*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, 0.5, 1.3, -6\/7, -0.1 in decreasing order.\nAnswer: 1.3, 0.5, -0.1, -6\/7, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.2, 2\/115, -0.03?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -291 - -306. Let a(y) = -y**3 + 5*y**2 + y + 3. Let p be a(5). Solve 3*r + n = p*r for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1 + -1.2. Let n be 1*7\/1 + -2. Let z be (-6)\/(-45)*(-5)\/1. What is the second biggest value in s, n, z?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(500) + sqrt(500)*-2)\/sqrt(10) - sqrt(50))\/(2*(sqrt(10) - (sqrt(90) + sqrt(10)))))**2*-3*6 + -1.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -109\/105 and 123\/5593000?\nAnswer: 16779000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 1\/30 of a millennium?\nAnswer: 400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -q**3 + 10*q**2 - 12*q + 11. Calculate the remainder when k(5) is divided by 13.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-105)\/40)\/(243\/216).\nAnswer: -7\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 15\/4 of a litre in millilitres?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -15546 - -15547.297. What is y rounded to 1 dp?\nAnswer: 1.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*c**(-6))\/c**(-7)*(c*c**(1\/4)*c*c)**21 assuming c is positive.\nAnswer: c**(281\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t = -393664 - 2195576. Suppose -5*n - t + 163080 = 0. What is n rounded to the nearest 100000?\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 12\/10*(-10810)\/(-69). Let v be 8\/14 - (-840)\/245. Calculate the highest common divisor of b and v.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21422223 to the power of 1\/2, to the nearest integer?\nAnswer: 4628","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h\/h**(-2\/5))**(-2\/67))**(-5\/4) assuming h is positive.\nAnswer: h**(7\/134)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 14 + -11. Let m(n) = 5*n**3 + t*n + 1 + n - 4*n - 2*n**2. Suppose 2*g = -0*g - 2. What is m(g)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -10 in 13, 0.4, -7?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 44230 + 3?\nAnswer: 44233","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -213 = 17*l + 11135*f - 11140*f, -15 = 3*f for l.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -294*x + 901. What is t(3)?\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*a - 4*s - 46 = a + 6*s - 6*s, -7090*a + 7089*a + 3*s = -7 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 + i + i - 5*i)*(-i - i + 0*i) as z*i + m*i**2 + p and give m.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 0.2 * 0.35\nAnswer: 0.07","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 39450382 a multiple of 1898?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2 - -2 - (0 - 0)) + (-12 - 1).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -p**2. Let h be y(0). Suppose -4*s + 388 = -h*s. Suppose s = 4*v + 5*f, -2*v - 5*f = -f - 56. Calculate the smallest common multiple of v and 20.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 49, 50, 51, 52, 53, 54?\n\"Answer: u + 48","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-69 - 45 + 19)*(4 + 0 - 7 + 2*l).\nAnswer: -190*l + 285","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -762 - 7?\nAnswer: -770","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = y + 2*y. Suppose f + y = -0*f. What are the prime factors of 7 - (f - 0)*1?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 403779\/11 - 36871. Let k = v + 164. Which is the fourth biggest value? (a) k (b) -2 (c) 3 (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -56058, -111507, -166354, -220599, -274242, -327283, -379722?\n\"Answer: 301*u**2 - 56352*u - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 55*d - 13*d - 336 = 14*d. Calculate the greatest common factor of d and 543.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 2\/125 of a kilogram?\nAnswer: 16000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -5*d**2 + 9*d. Let r(k) = -2*k**2 - 6*k. Let y(u) = -2*j(u) - 3*r(u). Let m(h) be the first derivative of -17*h**3\/3 + 1. Give y(m(l)).\nAnswer: 4624*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(77)\/sqrt(63) - ((sqrt(11) - (sqrt(11)*1 + sqrt(11))) + -4))**2.\nAnswer: 32*sqrt(11)\/3 + 320\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 4925250 and 29205?\nAnswer: 495","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by 49.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-18000)\/(-800))\/((19\/12)\/(-1) - -2).\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 55 or -1?\nAnswer: 55","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = 2*u**2 + u - 1. Let m be j(2). Suppose 6 = -5*b - m. What is the units digit of 0 - 3*3\/b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 68683902?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:54 PM and 10:07 PM?\nAnswer: 313","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 3604974?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -869 + 875. Solve -h = 15*s - 18*s for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 452695?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 17*q**3 + 0 + 6 + 4*q - 6 wrt q?\nAnswer: 102*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) be the third derivative of -1\/24*j**4 + 0*j**7 + 0*j**6 - 1\/336*j**8 + 0*j**5 + 3*j**2 + 0*j**3 + 0*j + 0. What is the second derivative of w(n) wrt n?\nAnswer: -20*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -6*i**2 - 112*i - 13. What is n(-14)?\nAnswer: 379","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.51 and 4.7.\nAnswer: -2.397","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*w**3 - 1242*w**2 + 185976*w.\nAnswer: 2*w*(w - 369)*(w - 252)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (2 - ((10 - 10) + -15 - -21)) + 13?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 8\/25 of a kilometer?\nAnswer: 32000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is a5a8 - 2564c?\nAnswer: -18074","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 470 is divided by 280?\nAnswer: 190","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + 4*u + 1936 = -2*i, -2*i = 3*u - 1908. Let j be 5*i*(-7488 + -12). What is j rounded to the nearest one million?\nAnswer: -36000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 67 a factor of 4147367?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4785 = -29*o + 24*o. Let q = 1688 + o. Let i = -414 + q. Is i composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = z**2 - 3*z - 2. Let y(j) = -j + 11. Let s be y(8). Calculate a(s).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 86627 + 86641 - 173268 - 3*i.\nAnswer: -3*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -16*z - 79. Let h be i(-6). Solve -h = 5*m + t, -3*m + 0*m + 3*t = 3 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 7*n - n + 6*n + (-2 + 6 - 2)*(4*n - 3*n + 0*n) + (-2 + 1 - 1)*(-4*n + 3*n + 0*n).\nAnswer: 16*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -30313 or -30312?\nAnswer: -30313","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 20798061 to the power of 1\/3, to the nearest integer?\nAnswer: 275","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 322287120 a multiple of 114?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = 370*k - 309. Let q be h(4). Let a = q - 1181. Let j be (-10)\/4*(-1 - -5). Is a at least j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -8772 - -13319. Is q composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (6*(-55)\/135*3)\/(-5*(-6)\/10)?\nAnswer: -22\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x*x\/(x\/(x*x**(2\/11))))\/x)**(21\/8) assuming x is positive.\nAnswer: x**(273\/88)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 197 + 73. Suppose -13*b + y = -10*b. Calculate the highest common factor of b and 36.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -146*l**2. Let y(p) = -2*p. Give r(y(v)).\nAnswer: -584*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/11 in -6, 0, -4, 82?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -10 + 58 - (302 + -255)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -a + 6. Let h = 2 + 0. Suppose -20 = -2*v - h*v. Let q be o(v). Are q and -1\/7 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 171655652 to the power of 1\/6, to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-100)\/(-24))\/(-5))\/((-3)\/(-6))*6426\/(-315)?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = w**3 - 20*w**2 + 37*w - 5. Calculate h(18).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*k - 4 - 6. Let h(l) = l**3 + l**2 - 2. Let x be h(k). What is the second derivative of -3*q**2 + 1 - 1 + 4*q + x*q**2 wrt q?\nAnswer: 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 604 is divided by 46?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 57, 3, 10, 1 in descending order.\nAnswer: 57, 10, 3, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 946805 divided by 4\nAnswer: 946805\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put -11, 1, -3, 2 in increasing order.\nAnswer: -11, -3, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1*(-1318)\/(-3295)*95*-1?\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -14 + 25. Let i = 14 - j. What is the third biggest value in i, 0.09, 1?\nAnswer: 0.09","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-34)\/(-12) + (-1)\/(-6). Let m(u) = 4*u - 11. Let a be m(h). Solve -z + 0 = a for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3*w**5 + 53*w**2 + 284*w**6 + 55*w**2 + 41*w**2 - 171*w**2 wrt w.\nAnswer: 34080*w**3 + 180*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 17760 and 32573320.\nAnswer: 1480","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.050088754 and -0.4?\nAnswer: 0.0200355016","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 0.17*11848596\nAnswer: 2014261.32","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 3, l: 12, s: 3}. What is prob of picking 2 l and 1 s?\nAnswer: 33\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -268266, -536337, -804230, -1071939, -1339458, -1606781, -1873902?\nAnswer: -2140815","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = 4*f**2 + f + 1. Let x be l(-1). Let c be 264\/15 - 4\/(-10). Suppose x*m - 2 = c. Is m a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -3, -5, 10 in decreasing order.\nAnswer: 10, 0, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10000110010 - 1?\nAnswer: 10000110001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 25767 is divided by 2601?\nAnswer: 2358","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -649, -553, -573, -769, -1201?\nAnswer: -1929","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -13*g**3*q**2 + 1551*g**3*q + 2*g**3 + 590*g*q**2 + 56*g*q wrt g?\nAnswer: -78*g*q**2 + 9306*g*q + 12*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 778 is divided by 57.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 54 minutes before 11:13 AM?\nAnswer: 10:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 153 is divided by 150.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3 - 1 - 13) + (8 - (0 - -6)).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 274680446?\nAnswer: 2, 3833, 35831","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**13*k)\/(k**(2\/13)\/k)*(k**(1\/13)*k)**(-28))**43 assuming k is positive.\nAnswer: k**(-8557\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = g - 5*g. Let z = g - 0. Suppose -10*h - 18 = -28*h. Which is smaller: z or h?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a - 39 = -3*q, -5*a + 4 = -7*a. Let x(p) be the second derivative of p**4\/12 + 2*p**3\/3 + 11*p**2 + 7*p. Is x(q) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0 + 2. Suppose -o*v - 35 = -5*z + v, 3*v + 7 = -2*z. Factor 5*d**4 + 0*d**4 + d**4 - z*d**2 + 0*d**3 + 2*d**3.\nAnswer: 2*d**2*(d + 1)*(3*d - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3215814 and 276.\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = 6*v**2. Let m(w) = 33*w. Calculate s(m(b)).\nAnswer: 6534*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q = 2*u - 43, 5*q - 61 = -u - 2. Suppose -u*m + 16382 = -2930. What is the units digit of m?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4\/5? (a) 42994 (b) -3\/7 (c) -2\/23\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 7 + -4. Suppose 2*k - 1 = 5*k - 5*c, -5 = -5*k + 5*c. Suppose -k*o = -12, 3*z + 2 - 6 = -o. Sort -3, z, q.\nAnswer: -3, z, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -87 - -113. Let g = -16952168.6 + 16952194.60000025. Let i = g - l. Round i to 7 dps.\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -345 (b) 28 (c) 0.1 (d) 0.5 (e) 0 (f) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find i, given that 2*i**2\/5 - 4*i = 0.\nAnswer: 0, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o = 11 - 13. Let m(t) = t**3 + 6*t**2 + 6*t + 3. Let y be m(-5). Which is the third smallest value? (a) o (b) y (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 176 minutes before 10:52 AM?\nAnswer: 7:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 16300000 rounded to the nearest one million?\nAnswer: 16000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3154\/(-12782)*77 + 2 + 79 + -1.\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 10933034 to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h**2 - 1940*h - 2977488 = 0. Calculate h.\nAnswer: -828, 1798","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13\/767 + (-648)\/(-59).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 29 + 1a?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 7374.67l in millilitres?\nAnswer: 7374670","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 21618930 and 118904115?\nAnswer: 237808230","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -10 (base 2) to base 13\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 499 is divided by 21?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 4285169 + -4285147.999976. Let o = -31 + 52. Let g = o - r. Round g to five dps.\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) be the third derivative of a**5\/15 + 8*a**2. Let s(h) be the first derivative of 35*h**3\/3 + 564. Calculate c(s(o)).\nAnswer: 4900*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand 11*t**4 + 2*t**4 - 4*t**4 + (0*t**2 - 2*t**2 - 4*t**2)*(2*t**2 + 3 - 3).\nAnswer: -3*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = 4*x**2. Let y(a) = 23499000*a**2. What is y(q(w))?\nAnswer: 375984000*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*z - 22*z + 560 = 0. Let h(x) = -2*x + 145. What are the prime factors of h(z)?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from poshsuh. Give prob of picking 2 h and 1 o.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is -304829 bigger than -304829?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*t + 29 + 6. Let r(l) = -l**3 - 8*l**2 - 9*l - 8. Let f be r(t). Suppose 2*c = f*c - 184. Is c a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + 15 - (5 - (-8 + 13 + -7)).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1110010011000010001 (base 2) in base 7?\nAnswer: 3660611","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1 + -1. Let u(n) = n - 13. Let w be u(6). Let k(c) = -3*c - 17. Let h be k(w). Solve -2*s - 6 = -3*r, z = -s - h*r - r + 23 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(84)\/sqrt(3)*-3*-1)**2.\nAnswer: 252","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -22908 rounded to the nearest ten thousand?\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -4101 + -5?\nAnswer: -4106","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j - 2*b = -33510, -2597 - 10618 = -2*j + 37*b. Does 20 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 19 - 7. Let g = -175.28 - -163. Let w = z + g. What is w rounded to 1 dp?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5608?\nAnswer: 2, 701","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 1 times -3261\nAnswer: -3261","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -42692, -46592, -50492, -54392, -58292?\n\"Answer: -3900*m - 38792","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jmut when four letters picked without replacement from {u: 2, j: 3, c: 2, t: 1, w: 3, m: 3}?\nAnswer: 3\/4004","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t = -2*p - 3, -3*p + 2*t - 29 = 3*t. Which is greater: p or -184\/11?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k - 4*k = o + 2, 4*k = o + 11. Let r be (2 - 4) + o\/(-1). Suppose -r*f + 2*f + 93 = 0. Is f a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 116693?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 25700300, 25700309, 25700318, 25700327?\nAnswer: 25700336","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 17054 + -16654. Is b a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 726827029 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) be the first derivative of -p**6\/40 + p**5\/60 + p**4\/12 + 31*p**2 - 59. Let l(t) be the second derivative of d(t). Factor l(j).\nAnswer: -j*(j - 1)*(3*j + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 389771?\nAnswer: 47, 8293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 18\/(-60)*(-1)\/((-9)\/(-12)).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 7894?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 + 116380655?\nAnswer: 116380645","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 5253.89 + -5223.89005. Let v = -54 - -24. Let k = v + a. What is k rounded to 5 dps?\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 465811.1ml?\nAnswer: 465.8111","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -x - 3. Let q(c) = 138*c**2 - 414*c - 1242. Calculate 414*o(m) - q(m).\nAnswer: -138*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 68208 and 4116?\nAnswer: 477456","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qrbv when four letters picked without replacement from bvbvrq.\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 60*9\/(-2)*(-2)\/2. Suppose 213*l = 203*l + u. Is l < 28?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l + 53*z - 56*z + 2 = 0, -5*z = -4*l + 9. Calculate the highest common factor of l and 49.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 161 and 35?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-765)\/(-374) - 6\/4 - 3055\/5863?\nAnswer: 1\/41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j\/j**19)\/j*j*((j**(-24)*j)\/j)\/j*j*j)**(-3) assuming j is positive.\nAnswer: j**123","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 61 and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*j**5 + 235*j**4 - 3*j - 1599.\nAnswer: -40*j**3 + 2820*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) be the first derivative of i**2\/2 - 2*i - 1. Let w(m) be the first derivative of -m**3\/3 + 140. Determine j(w(g)).\nAnswer: -g**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) be the first derivative of -3*y**5\/10 + 3*y**2\/2 + 7*y - 2. Let z(v) be the first derivative of a(v). Differentiate z(t) with respect to t.\nAnswer: -18*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -122565 + 0?\nAnswer: -122565","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 697 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 91549 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -h**3 + 6*h**2 + h - 8. Let k be n(6). Let m be 3\/6*0 - k. Suppose 0 = m*p + 3 - 17. What is the units digit of p?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(112) - 2*sqrt(112)) + 1 - sqrt(112).\nAnswer: -8*sqrt(7) + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -112 + 117 - (4 - 14) - (59 + 5).\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5 + 4 - 7)*(18 + 10 - 7)*(-r + 4*r + 7*r) to the form p + t*r and give t.\nAnswer: -1680","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + 24 + 8 = 0. Suppose -23 - f = -4*y + 3*c, 5*c = -5. Is 3 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 -a*j**3*p**2 + a*j**3 + 19*a*j - 19*a*p**3 + 6*j**3*p**3 - j*p**3 + 3*j*p**2 wrt p.\nAnswer: -114*a + 36*j**3 - 6*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -2*z - 6. Let r be m(-5). Suppose 0 = -2*a + q + 152, -2*q - 199 = 5*a - 588. Let g = a - 42. Solve -5*w + 3*p - 6*p = -g, 4*w + 4 = r*p for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 46033 to the nearest integer?\nAnswer: 215","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = n**2 + 2*n + 2. Let k = 18 + -20. Let r be s(k). Suppose -r*a = 2*a - 3*v - 21, 3*a = -v + 6. Solve -13 + a = 5*u for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 7 - 5. Suppose k = 5*v - 33. What are the prime factors of v?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 224*p**4 + 2764*p**3 - 4998978*p**2.\nAnswer: 5376*p + 16584","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 3763104 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Total of 70.91 and -24649835863.\nAnswer: -24649835792.09","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*y**4\/5 + 2088982*y**3\/5 + 545479680048*y**2\/5 - 545481769032*y\/5.\nAnswer: 2*y*(y - 1)*(y + 522246)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-6\/11)*u**(-9\/4))\/(u\/(u*u\/(u\/(u\/(u**23*u))))*(u\/u**4)\/u) assuming u is positive.\nAnswer: u**(-959\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 5785486 to the nearest integer?\nAnswer: 180","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*b**3 + 206*b + 91*b + 4 - 4 as f*b + l + h*b**3 + n*b**2 and give f.\nAnswer: 297","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 3\/10 of a meter?\nAnswer: 30","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -5 + 11\/2. Which is the closest to 0? (a) 4 (b) -2\/9 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -26337\/5 + 5267. Let x = -3.9 + 2.9. Which is the second biggest value? (a) 0.13 (b) x (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xggvxlgvovxdxll. Give prob of sequence lll.\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*z**(-25)*z*(z**(-34)*z)\/z*z)\/((z**(4\/11)\/z*z)\/(z*z\/z**(2\/3))) assuming z is positive.\nAnswer: z**(-1816\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b = 1 - 7. Let q(d) = -2*d - 15. Let k(o) = 8*o + 80. Let j(h) = k(h) + 5*q(h). Let n(x) = -2 + x + 0*x - 1. Give b*j(l) - 5*n(l).\nAnswer: l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 42095, 42095, 42099, 42107, 42119, 42135, 42155?\n\"Answer: 2*j**2 - 6*j + 42099","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 30999 is divided by 1148?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/3, 1323, -5 in decreasing order.\nAnswer: 1323, -1\/3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(2\/3)\/d)**(-2\/17)\/(d**(1\/4))**50 assuming d is positive.\nAnswer: d**(-1271\/102)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c\/(c\/(c*c\/(c**9*c*c)))*c*c)\/c*c*c**(-2))\/(((c\/c**(-2\/9))\/c)\/(c**(1\/2)*c*c)))**(6\/31) assuming c is positive.\nAnswer: c**(-121\/93)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 33 in 33739, 5, -0.2?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 3343 - c?\nAnswer: 3336","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -16*b + 4175*b + 2177*b to the form w + i*b and give i.\nAnswer: 6336","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = x - 18. Let k be (-2 + 6\/(-9))\/((-16)\/72). Calculate j(k).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1788*u + 2511 + 11705 = 7128 - 19732 for u.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = w + 5. Let l be f(-3). Let p be (-5 - -6)\/(l\/6). Factor 2*u**4 + 13*u**p + 2*u**2 - 13*u**3 + 4*u**3.\nAnswer: 2*u**2*(u + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -253123 (base 6) to base 12.\nAnswer: -111a3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c + 4*o - 101 = 0, -69*c + 2*o - 97 = -72*c. Calculate the remainder when 1172 is divided by c.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -10, -29, 799 in descending order.\nAnswer: 799, -10, -29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.076, 4\/11, 2, -0.2.\nAnswer: -0.2, 0.076, 4\/11, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (sqrt(136) + (sqrt(136) + -1*sqrt(136) + sqrt(136))*2 - (6*(sqrt(136)*2 - sqrt(136)) - sqrt(136) - sqrt(136)))\/(5*(-2*sqrt(8) + sqrt(8))*-2).\nAnswer: -4 - sqrt(17)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((b*(b\/b**(4\/7))\/b*b)\/(b*b\/(b*b\/(b*b**(-6\/5)))))\/((b\/(b\/(b\/b**10)))\/(b**(5\/7)\/b)))**(3\/16))**(2\/39) assuming b is positive.\nAnswer: b**(181\/1820)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 5 and 560797975?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4961 - 3669 = 68*r for r.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 343413947 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: -101101111010100010011011 (base 2) to base 6\nAnswer: -1105551215","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 713704975?\nAnswer: 5, 28548199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -0.4, 3, 3\/617, 5, -0.02, 1\/5?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15 + 1.05.\nAnswer: 16.05","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Determine r so that 4*r**4 - 1040216*r**3 - 6241468*r**2 + 7281680*r = 0.\nAnswer: -7, 0, 1, 260060","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: Rearrange w - w - 10*w + 1554*w**2 + 10*w to c*w + s + l*w**2 and give l.\nAnswer: 1554","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -1651382*j - 1923924 wrt j?\nAnswer: -1651382","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express 0 + 3 - g**2 - 1 - 17*g - 12*g**3 + 13*g**3 as l + z*g + s*g**3 + d*g**2 and give z.\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Product of -140 and -0.76.\nAnswer: 106.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) be the first derivative of -l**3\/3 + 3*l**2 - 11. What is v(7)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -18 + 14 + (4 - 0).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rg when two letters picked without replacement from rrggrrgrrrrr.\nAnswer: 9\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7101 is divided by 148.\nAnswer: 145","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 154, 117, 80, 43, 6?\n\"Answer: -37*b + 191","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 5 and 985?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 105203? (a) -1\/8 (b) 0.2 (c) -6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 311.95 - 29.87. Let d = -282 + n. What is the closest to -0.2 in -0.4, d, 3\/5?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*b**3 - 14*b**2\/5 - 196*b\/5 + 16.\nAnswer: 2*(b - 5)*(b + 4)*(5*b - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 344704715*y**3 - 2*y**2 + 233631756*y.\nAnswer: 2068228290*y - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -15 + 4 + (-1 - (-6 + 1))?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 222713 = -3730*u + 36213 for u.\nAnswer: -50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*m - 6 + 6)*(2*m + m + 15 - m).\nAnswer: 4*m**2 + 30*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -o**3 + o**2 - 2*o - 1. Let u(i) = 14*i**3 - 16*i**2 + 14*i + 6. What is 6*t(d) + u(d)?\nAnswer: 8*d**3 - 10*d**2 + 2*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 1594207 to the power of 1\/2, to the nearest integer?\nAnswer: 1263","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 27311 - 109239\/4. Which is the third smallest value? (a) -1\/7 (b) -0.066 (c) 1 (d) r (e) -2\/13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -k**3 + 7*k**2 - k + 2. Let m = 197 + -191. Give q(m).\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1236 + 545. Suppose 10*o - 1169 = p. Let w = o + -190. What is the tens digit of w?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ebbd when four letters picked without replacement from beldlb.\nAnswer: 1\/180","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -r**5 + 7*r**4 + 36*r**3 + 41*r**2 + 19*r. Let v(y) = -8*y**4 - 36*y**3 - 40*y**2 - 20*y. Let m(x) = 3*v(x) + 4*w(x). Factor m(z).\nAnswer: -4*z*(z - 4)*(z + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -b**2 - 5*b - 4. Let l be k(-4). Let v be ((-9)\/2)\/(18\/(-48)). Suppose l + v = 4*f. Calculate the greatest common divisor of 27 and f.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 22*q**3 - 7*q**3 + 0*q**2 - 12*q**3 + 12 - q - 3*q**2 as i*q**3 + c*q + x*q**2 + b and give c.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 791069639?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1306*d + 9674*d**5 + 5347*d**3 - 2674*d**3 + 13578*d - 2675*d**3 wrt d.\nAnswer: 193480*d**3 - 12*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-50)\/110)\/((-43)\/1892)\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1.34, 17.3, 20 in increasing order.\nAnswer: 1.34, 17.3, 20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2508 = 863*n - 1091*n for n.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 185 - 189 - (-1 + 0)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -10*y + 33. Let b be o(3). Suppose -5*h = b*p - p + 25, 2*h = 3*p - 10. What is the biggest value in -1, h, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.8, -12, -4, 2, 2\/359.\nAnswer: -12, -4, 2\/359, 0.8, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*a - 315*a**2 + 627*a**2 + 4 - 312*a**2 + 49*a**3 to n + r*a**3 + u*a + k*a**2 and give n.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 (base 4) in base 15?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 7 - -3 - (5 - 3)\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3478*n**2 + 3397*n?\nAnswer: -6956","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*y - 61*y + 30*y + 12*y.\nAnswer: -7*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2 - 350. Let w = -353 - l. Let m(k) be the third derivative of -k**5\/10 - k**4\/24 + 2*k**2. Give m(w).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.05924*0.2744.\nAnswer: 0.016255456","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 7632 divided by -72?\nAnswer: -106","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1 + 1. Suppose -655*f + 654*f = -223. Let y = 220 - f. What is the closest to p in -1\/3, 5, y?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -36 (base 12) in base 14?\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/5? (a) 0.1 (b) -10\/19 (c) 5 (d) -4\/1529\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -1235*b. Let v(w) = -3760*w. Give v(c(n)).\nAnswer: 4643600*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = 2*k**2 - 32*k - 578. Let n be m(27). Solve -s = -3*i - n, -3*i = -8*i + s - 26 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o + 14 = -4*d, 14 = -5*d - o + 4*o. Let a be d + 2 - (-20)\/9. Which is smaller: 0 or a?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 387, 386, 385, 384, 383?\nAnswer: 382","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-60*q + 54*q - 29*q + (-2*q - 2 + 2)*(-4 + 0 + 2))*(12 + 2 + 13 - 7).\nAnswer: -620*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -191*w**2 + w + 1. Let p(f) = 4*f**2. Give v(p(r)).\nAnswer: -3056*r**4 + 4*r**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 198 divide 8293969?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 84813766 is divided by 2844?\nAnswer: 2842","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 - 13 - 45 = -23*v. Let b(p) be the second derivative of -8\/3*p**v + 0*p**2 + 0 - 2*p**4 + 15*p. What is the second derivative of b(a) wrt a?\nAnswer: -48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*c + 34 = 37*s - 39*s, 3*s = -c - 17 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7 (base 12) to base 6.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 60829 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 908243272 divided by 1\nAnswer: 908243272","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 9\/10 of a decade in months?\nAnswer: 108","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f = -5*h + 126, -3*h - 3*f = -0*f - 66. Suppose 60*y + h = 61*y. Calculate the smallest common multiple of y and 3.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 220 and 429.\nAnswer: 8580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 24\/(-14) + (-10)\/35. Let u = -106 + 49. Let l = j - u. Is l prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (5 + 4 + 2)*5. Suppose k - z = 33. Suppose -11 = -87*l + k*l. Which is greater: l or -9?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 9.031564 millilitres?\nAnswer: 0.009031564","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -h**2 - 1493*h - 14878. Calculate y(-10).\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 162 divide 43578?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -34, -77, -140, -217, -302, -389, -472, -545?\nAnswer: -602","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2401430010 (base 5) to base 12.\nAnswer: -1a12197","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j - 10 = -0*j. Factor 2*x**3 + j*x**4 - x - x**4 + x + 2*x**5.\nAnswer: 2*x**3*(x + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 8.5378 + -0.0638. What is n rounded to 1 decimal place?\nAnswer: 8.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -51*l = -43*l + 64. Let s(v) = 5*v**2 + 3. Let p(d) = 16*d**2 + 8. Give l*s(b) + 3*p(b).\nAnswer: 8*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = c**2 + 10*c - 7. Let z be y(-7). Let v = -24 - z. Solve 13 = -5*x + v*j, x - 7 = 3*j + j for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 5, 20, 47, 92, 161?\n\"Answer: l**3 + 8*l - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 56 = 18*u - 85 + 15 for u.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 888 + -899. Put -4, 10, s in decreasing order.\nAnswer: 10, -4, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -3 - -3. Suppose -2*w = 10, 5*p - w - 20 = 145. Suppose a = -5*n - b + p, -5*n + n - 3*b = -30. Solve 0 = -4*t - 2*q - n, 4*q - 2*q = 5*t + 3 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -1698*u + 359. Is r(-5) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -b**3 + 38*b**2 - 28*b + 19. Let k be g(29). Find the common denominator of 7\/63 - k\/720 and 173\/30.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1140 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 99962171, 199924335, 299886499, 399848663, 499810827, 599772991?\nAnswer: 699735155","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 70\/(-4) + (-1)\/2. Let j be (-976)\/i - (75\/(-27) - -3). Let k be ((-8)\/(-6))\/((-4)\/(-18)). What is the highest common factor of j and k?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -22*t**2 + 6*t**3 + 22*t**2.\nAnswer: 6*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5065*f + 5516*f - 2042*f + 7180*f - 39.\nAnswer: 15719*f - 39","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37*n + 42 = -36*n. Suppose -33*o = -31*o - n. Is 8\/(-14) + 1 + 1776\/o a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h = -4*u - 30, -3*h - 70 = 2*h - 4*u. Let v be 4\/h + 248\/20. Let d = v - -12. What is the units digit of d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 68a4b (base 13) to base 14\nAnswer: 4d6d1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 77658 + -77656. Let 0*m**3 + 4\/5*m + 9\/5*m**h - 1\/5*m**4 - 12\/5 = 0. Calculate m.\nAnswer: -2, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-338)\/(-6) - (-488)\/(-1464). Solve 0 = -k*m - 45*m + 505 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1642595876 to the nearest integer?\nAnswer: 40529","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = 2*g - 1. Let q be l(3). Find the second derivative of 4*y**3 - 4*y**3 - 6*y**5 + q*y + y**5 wrt y.\nAnswer: -100*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 t when two letters picked without replacement from {f: 1, c: 1, g: 1, q: 2, t: 4, s: 3}.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide -71009 by 4177.\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11381467 is divided by 1719.\nAnswer: 1687","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-274)\/6713*(-7)\/1.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*s - 4*s = 345. Let i = -4094 + 16833\/4. Let y = s - i. What is the closest to 0 in y, 0.3, 2\/23?\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = 13*z**2 - 581*z + 439. What is f(42)?\nAnswer: -1031","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 819 and 209319201?\nAnswer: 819","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 9 - 7. Suppose 2*f + 308 = t*s, 3*f - 7*f = -8. What is the greatest common factor of s and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000004446332 rounded to 6 dps?\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 18, 2, 19\/5 in decreasing order.\nAnswer: 18, 19\/5, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(104)\/(sqrt(40)\/sqrt(5) + sqrt(8)))**2 - (sqrt(468) + -5) - ((sqrt(1053) + sqrt(1053) + 0 + sqrt(1053))**2 + -3 + 3).\nAnswer: -37875\/4 - 6*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3800 by -4.\nAnswer: 950","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) be the third derivative of -u**6\/120 + u**5\/30 + 7*u**4\/24 - u**3 + u**2. Let c = -7084 + 7088. Give n(c).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -30*o**3 - 5*o**2 + 4*o - 4. Let d(h) = -61*h**3 - 11*h**2 + 9*h - 9. Let t(u) = 4*d(u) - 9*y(u). Find the third derivative of t(a) wrt a.\nAnswer: 156","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*b - 4*m + 405314 - 405294, 4 = b - 0*b - 4*m for b.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 84\/21 - 258\/63?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -83, -59, 3, 121, 313, 597?\n\"Answer: 3*y**3 + y**2 - 87","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 57.7716 - 0.4616. Round s to the nearest 10.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - y - 1)*(12*y**2 + 1 - 3*y**3 - y**4 - 12*y**2).\nAnswer: y**5 + 3*y**4 - y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 57187253?\nAnswer: 57187253","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:11 PM and 6:03 AM?\nAnswer: 532","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5069, -10176, -15331, -20540, -25809, -31144?\nAnswer: -36551","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1111000001000000110100 (base 2) in base 10?\nAnswer: 3936308","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -931, -3724, -8379, -14896, -23275, -33516?\n\"Answer: -931*i**2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -52 - -57. Let v be 8\/(-6)*(-3 + s + -5). Solve -8 = v*h - 5*m - 0*m, -m = -4 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -v**3 + 5*v - 3*v + 0*v**3 + (-4*v**2 + 8*v**2 - 2*v**2)*(v - 2*v - 4*v) - 3*v**3 + 2*v**3 + 0*v**3 as k*v**3 + z + t*v + w*v**2 and give t.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is (-8 - -299)\/(0 - -1) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 142*u**2*w**2 - 6*u**2 + 2*u*w**4 + w**3 - 118 wrt w.\nAnswer: 284*u**2*w + 8*u*w**3 + 3*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25*l + 24 - 8 + 9 = 0 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 g when two letters picked without replacement from {i: 8, y: 8, g: 4}.\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 14*j**2*n**2*w**3 - j**2*n*w**3 - j**2*n*w**2 - 5*n**2*w**2 - 3*n**2 wrt w.\nAnswer: 84*j**2*n**2 - 6*j**2*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 81403*x**3 - 431*x**2 - 218*x**4 - 81403*x**3 wrt x.\nAnswer: -5232*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -3*b + 10. Give z(7).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -11*m**2 - 347*m + 2005. Give a(5).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-152)\/(-418) + 4 + (-16722)\/792?\nAnswer: -67\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.5426766 weeks to minutes.\nAnswer: 5470.180128","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g + s + 0*s + 36 = 0, -4*g - 5*s + 52 = 0. Let w be (76\/g)\/1*(4 + -2). Suppose h + 11 - w = 0. Solve -2*t - 2 = h for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0\/(110\/10)*(-1)\/4?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -10*j**6 - 2*j**3 - 7*j**2 - 9?\nAnswer: -1200*j**3 - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*q - k + 1, 0 = 3*q + 7*k - 3*k - 15 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 775676645 to the power of 1\/4, to the nearest integer?\nAnswer: 167","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(171) + 3 + -6*sqrt(19)*2)**2.\nAnswer: -54*sqrt(19) + 1548","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10750 divided by -15.\nAnswer: 2150\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/(-1)*(312\/64)\/(-39).\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 61.7277 litres to millilitres.\nAnswer: 61727.7","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b - 2262 = 2*s - 5*b, 3*b = s + 1135. Let y = 2288 + s. What is the thousands digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 28357?\nAnswer: 7, 4051","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 18319, 36529, 54741, 72955, 91171?\nAnswer: 109389","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 1251179, 1251294, 1251409, 1251524?\n\"Answer: 115*k + 1251064","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -120 - -1?\nAnswer: -112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 92598198 and 231?\nAnswer: 231","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) be the third derivative of 163*m**7\/210 - m**4\/24 - 2005*m**3\/6 + 1501*m**2. What is the first derivative of i(f) wrt f?\nAnswer: 652*f**3 - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -4529994 - (-4 + -4 + 14). Round r to the nearest one hundred thousand.\nAnswer: -4500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-2)\/3)\/((-7)\/(-3)). Let c = 0.2 + -0.8. Let z = c - -0.8. Sort z, n, -2\/5 in decreasing order.\nAnswer: z, n, -2\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 139\/419652 and -83\/36.\nAnswer: 419652","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 3441011575 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.4 and -88.668?\nAnswer: 35.4672","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6 + 4 - (-14 + 14)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 884\/(-78)*(-96)\/64?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -317910 by 63582.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11872*f - 1805660 = 1308*f for f.\nAnswer: -137","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -1388416 (base 9) to base 7\nAnswer: -6343605","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3489.\nAnswer: 3, 1163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is eight thirds of a hour in seconds?\nAnswer: 9600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4232345 to the nearest integer?\nAnswer: 2057","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -q**3 + q**2 - 6. Suppose b - 5*j = -20, 3*b + 2 = -4*j + 18. Suppose -g - 6*g = b. Determine m(g).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 20.345958 to the nearest 10.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = s**2 + 3*s - 4. Let m be j(-4). Let u be m + 3\/3*2. Suppose -u*n + 2 = -0*n. What is the greatest common divisor of 3 and n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) be the third derivative of -r**3\/6 + r**2. Let c be 1\/(-3)*(1 - 4). Let w(x) = -x. Give c*w(d) - b(d).\nAnswer: -d + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2739 is divided by 901.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) be the second derivative of x**8\/336 + x**7\/168 - x**6\/72 - x**5\/24 + 25*x**3\/6 - 7*x. Let c(s) be the second derivative of i(s). Solve c(f) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1395 = -t + 3*p, -p = -37*t + 35*t - 2760. Which is greater: -1378 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1610.\nAnswer: 2, 5, 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -133\/6948 and -77\/2895.\nAnswer: 34740","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find y such that -1560\/7 + 28*y - 4\/7*y**2 = 0.\nAnswer: 10, 39","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (11 - 2 - 1) + -25 + (-64 - -87)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = a**3 - 6*a**2 + a. Let k be l(6). Let j(x) = 55*x + 4. Let m be j(k). Let n = m + -237. Is n a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -l**2 + 11*l - 20. Let g be o(9). Let p be -90*(328\/(-102) - g). Let d = p - 17087\/170. Calculate the common denominator of 85\/8 and d.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1779418 divided by 4646\nAnswer: -383","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1 by -813.\nAnswer: 1\/813","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**(1\/3))**(-7)\/(((w**(-1\/9)*w)\/w)\/w**1))**(-2\/5) assuming w is positive.\nAnswer: w**(22\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -100*r**2 + 54*r**2 - 8*r**2 + 55*r**2.\nAnswer: r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*n**3 + 528*n**2 + 2*n**3 - 3*n**3 + 196*n**2.\nAnswer: -n**3 + 724*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b = -r + 31, 2*b = 3*b - 2. Suppose r*c - 48*c = -130. Solve d + 5*z - 23 = 0, -3*z + c = -z for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z and 1 t when two letters picked without replacement from oddoozozdtyo?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2 (base 5) to base 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -h**2 - 29*h + 13. Let p be z(-26). Let t = 94 - p. Solve -7*w - 12 = -t*w for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1.524 - -0.036. Let c = -1050.54 + 1060. Let d = h - c. What is d rounded to zero decimal places?\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*q + 7*q + 25, 4*r - 75 = -2*q + 9*q for r.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h - 4*z = 16, 4*h + 12 = -0*h - 3*z. Suppose h = 4*a - 2*s - 112, 4*a - 3*s = a + 84. What is the greatest common divisor of a and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2170 divided by 29\nAnswer: -2170\/29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + 7 + -4 + (10 - 7)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = 317*j**2 + 10*j + 13. Let d be w(-2). What are the prime factors of (d\/(-65))\/(2\/(-30))?\nAnswer: 3, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (98*w - 208*w - 653*w)*(-5 - 14 + 9)*(-1 + 1 - 2) to the form o + i*w and give i.\nAnswer: -15260","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -l - 3*k, 5*k - 10 = 4*l - 9*l. Let a(f) = -f + 11. Let b be a(l). Let q(x) = 2*x + 2. What is q(b)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 12856854?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -22 * -8\nAnswer: 176","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -24 + -11 + (-19 - -49)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 308891 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 59 + (16 - -17) + -64?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*s + 25 = 37 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = v + 3*f - 20, 3*v = -v - 2*f + 30. Suppose -20 = 4*p, -h = -2*h + v*p + 23. Let i(q) = -7*q - 2. What is i(h)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 10\/(-55) + (-48)\/(-22). Let k be c*3 - (-4 + 2)\/2. Differentiate 3*n - k + 0*n + 9*n - 2*n with respect to n.\nAnswer: 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) be the second derivative of t**4\/30 + 101*t**3\/5 - 304*t**2\/5 + 364*t + 1. What is m in a(m) = 0?\nAnswer: -304, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen fifths of a litre in millilitres?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 665\/(-182) + (-2)\/(-13). Let r be (-11)\/(-11) + (-4)\/3. Put 1\/5, 0.4, r, g in decreasing order.\nAnswer: 0.4, 1\/5, r, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-8 - 13)\/7 + 42 + -28.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 464998871.2 take away 0.028?\nAnswer: 464998871.172","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -3*c**2. Suppose 0*k + 11*k - 946 = 0. Let u(x) = -k*x + 179*x - 85*x. What is u(n(p))?\nAnswer: -24*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = x**3 + 11*x**2 + 15*x + 24. Let h be r(-10). Sort 5, -5, h in increasing order.\nAnswer: h, -5, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + -5 - ((12 - 6) + -7).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 7}. What is prob of picking 4 c?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 6 + -340?\nAnswer: -335","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -7051701*94\nAnswer: -662859894","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -1004234034 (base 5) to base 15\nAnswer: -29ebb4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1194196?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/9, -15, 0.07 in increasing order.\nAnswer: -15, 0.07, 2\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 32814395 to the power of 1\/3, to the nearest integer?\nAnswer: 320","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = 5*o - 11. Suppose -c + o*i - 15 = 0, 0 = 3*i - 8*i + 20. Suppose -22 = -5*t + 4*t - c*x, -3*t - 3*x + 30 = 0. What is the units digit of t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -332.8164 + 1.\nAnswer: -331.8164","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -115462 - 48?\nAnswer: -1154aa","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**(-11)\/(c\/((c\/(c\/(c\/c**(7\/5))*c))\/c))*(c**(3\/2))**(-1\/21) assuming c is positive.\nAnswer: c**(-1013\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -i**2*v*y - i**2*y - 17*i*v*y - 56*v*y - y - 6835 wrt i.\nAnswer: -2*i*v*y - 2*i*y - 17*v*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-2\/5)*x*x**(-2\/5))\/(x\/(x*x\/(x*x**(-2\/3))*x))**(-28)*(x**(-6)\/x*x\/(x\/x**(-7))*x)**(-2\/11) assuming x is positive.\nAnswer: x**(-7277\/165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3582.518 + -3573. Let k = 0.018 - g. Round k to 0 dps.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 231591 and 19?\nAnswer: 231591","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -180951*n + 180948*n - 22 = 4*q, -4*n + 5*q = -12 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(4\/5)*k*k\/(k\/(k\/k**(-2))))**(-8\/7) assuming k is positive.\nAnswer: k**(-192\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y - 5*t = 9434, -3154 = -117*y + 116*y + 4*t. List the prime factors of y.\nAnswer: 2, 3, 523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (10 + -6 - (12 - (2 + -1))) + -65.\nAnswer: -72","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 101931 and 16897?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = 54*r + 569. Calculate d(-10).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-30)\/(-105))\/(18\/(-14)). What is the nearest to -0.2 in m, -7, -0.5?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**9)**(2\/31)\/(y\/y**(1\/4)*(y**(-6\/11)\/y)\/y) assuming y is positive.\nAnswer: y**(3241\/1364)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 3101013518 to the nearest integer?\nAnswer: 236","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 16 - 9. Let l be (0\/(-2))\/(o\/(-7)). Let p be 3 + (1 - l) + -2. Solve 0 = -2*r + a + 7, 0 = 4*r - p*a + 6*a + 4 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -7\/80 + 11\/16. Let q(g) be the first derivative of -g**2\/2 + 10*g + 1. Let m be q(8). Is l != m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) be the first derivative of -h**5\/40 + 205*h**3\/3 + 201. Let j(s) be the third derivative of c(s). Let p(n) = -n. Calculate -3*j(v) + 18*p(v).\nAnswer: -9*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jreejjjjexpn. What is prob of sequence xn?\nAnswer: 1\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 g when two letters picked without replacement from ggg?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -11\/6 and -52 + 54 - (-25)\/66.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -59*w + 4543 = -472*w for w.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i = 5*n + 46, -n = 2*i + n - 52. Let h be 4\/14 - 2\/7. Suppose 5*x - 189 + 24 = h. What is the greatest common divisor of i and x?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 315\/84*4\/(-70).\nAnswer: -3\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.3 and 16947535.\nAnswer: 5084260.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9.882355 nanograms to micrograms.\nAnswer: 0.009882355","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 5, g: 2, b: 3}. Give prob of picking 4 m.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 15\/(-9)*1*2\/(-10)?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00004677 to six dps.\nAnswer: 0.000047","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -510 (base 8) in base 10?\nAnswer: -328","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 362107004 is divided by 169?\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = n**2 - 10*n. Let x be l(11). Suppose -4*c = -f - x, -f = 5*c + 3*f + 2. What is the units digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = h**2 - h. Let z(b) be the second derivative of 7*b**4\/12 - b**3\/2 + 20*b - 32. Let r = -2 - -3. Calculate r*z(n) - 5*c(n).\nAnswer: 2*n**2 + 2*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 18692866?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6136923.\nAnswer: 3, 13, 53, 2969","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -s**3 + s**2 - s + 1. Give y(2).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 76003 to the power of 1\/2, to the nearest integer?\nAnswer: 276","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t + 3*f - f + 72 = 0, -3*t + 64 = -4*f. Let v = 25 - t. Is v a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (9 - (-1 + 2))*98040\/41280?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -2*(3\/2)\/(-3). Let i(b) = -4*b - 5. Let x(w) be the third derivative of w**4\/24 + w**3\/6 + 4*w**2 - 20. What is r*i(h) + 6*x(h)?\nAnswer: 2*h + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*n - 5 - n - 6 + 3*n as f + x*n and give f.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -100, -182, -276, -388, -524, -690, -892, -1136?\n\"Answer: -o**3 - 75*o - 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s**3\/6 - 67*s**2\/6 + 1549*s\/6 + 1615\/6 = 0. What is s?\nAnswer: -85, -1, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4720 by -40.\nAnswer: 118","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 87477 = -2*l + 87497, 3*l = -3*s + 33 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 81\/386 and -19\/14.\nAnswer: 2702","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g + 104 = 16. Let l be (18\/(-99) - 0)*g\/(-8). Which is the smallest value? (a) l (b) 0.1 (c) 0.37\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 29, -1, 10, -6, 4 in ascending order.\nAnswer: -6, -2, -1, 4, 10, 29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.9981 and 0.4?\nAnswer: 0.39924","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p + 528 = -4*c, c - 4*c + 264 = 2*p. What is the tens digit of p\/(-10)*(-1250)\/75?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b = 8*l - 22 + 26, -2*l + 34 = 3*b. Let i(s) = -s**2 + 2*s + 1. Let q be i(-1). Sort q, -1, -5, b in decreasing order.\nAnswer: b, -1, q, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 347065203.\nAnswer: 3, 8753, 13217","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 41.055 - 1.195. Let t = 41 - u. What is t rounded to 1 dp?\nAnswer: 1.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -14*i - 4. Calculate w(4).\nAnswer: -60","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 2833812322 to the power of 1\/2, to the nearest integer?\nAnswer: 53234","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = 5*y**2 - 4*y - 4. Let x(o) = -6*o**2 + 4*o + 5. Calculate -4*t(f) - 3*x(f).\nAnswer: -2*f**2 + 4*f + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -110011011110011110 - 1101101?\nAnswer: -110011100000001011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 24 + (6 - 10 - (0 + -4)). Let j(g) = 3 - u*g + 0 + 0 - 3. Let c(n) = 4*n. Calculate j(c(b)).\nAnswer: -96*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1526\/9 or -171?\nAnswer: -1526\/9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t = -2*u - 6, -2*u - 64 = 2*t - 62. Put 14, t, 3, -8 in decreasing order.\nAnswer: 14, 3, t, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -126 divided by -42.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oufu when four letters picked without replacement from {v: 1, m: 1, f: 1, u: 3, o: 1}.\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -25\/102 or 0?\nAnswer: -25\/102","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 194 and 66833?\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 292297716 divided by -6\nAnswer: -48716286","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -70*r = -205*r + 1890. Solve 0 = -r*c - 47 + 89 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 12003511 - 111?\nAnswer: 12003400","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -67451065027 - -1176\nAnswer: -67451063851","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-476)\/(-4) - 0) + (-3)\/1 a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((2*b**2 - 2*b**2 + 2*b**2)*(4*b - 12*b - 49*b) + 2*b**3 - b**3 + b**3)*(b - 4*b + b).\nAnswer: 224*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 23*f - 17*f + 16 - 7*f to b + a*f and give b.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4581.\nAnswer: 3, 509","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((p**(1\/19)*p)\/p)\/p*p**(-6))\/(p*p**(1\/2)*p*p*p**4) assuming p is positive.\nAnswer: p**(-549\/38)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3)\/(-4) - (-6)\/(-12)*(-2373)\/42?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:15 AM and 9:03 AM?\nAnswer: 408","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 + 1 - 3*v + (-v + v + 2*v)*(-1 + 1 + 1) + v + 6*v + v to o + t*v and give t.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = 17*y + 1. Let f be u(1). Suppose 2*m = 18 - 16. Calculate the smallest common multiple of (-3)\/(-6) - f\/(-4) and m.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 45706\/5? (a) -3\/7 (b) 3 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*b**2 + 1 - 5 - 8*b**2 + 99*b + 9*b**2 as s*b**2 + w*b + a and give s.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 226 and 31979?\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) be the first derivative of -17*u**3\/3 - 3*u**2 + 289*u + 325. Find the first derivative of w(y) wrt y.\nAnswer: -34*y - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 21762?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2122125 and 6000?\nAnswer: 375","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 27220*q**2*z + 13960*q**2 + 2*q*z**2 wrt z.\nAnswer: 27220*q**2 + 4*q*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = 51*w**3 + 1733*w**2 - 31*w + 11. What is d(-34)?\nAnswer: -91","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 9729.492 centuries?\nAnswer: 972.9492","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -4*w - 12. Let a(q) be the third derivative of -91*q**2 + 0*q**3 + 0*q + 0*q**4 + 0 + 1\/60*q**5. Calculate a(v(p)).\nAnswer: 16*p**2 + 96*p + 144","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find o such that -o**3\/5 - 409364*o**2\/5 + 42581968*o\/5 - 1107201472\/5 = 0.\nAnswer: -409468, 52","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (m**2 - 2*m**2 + 7*m**2)*(-6 - 7 - 1) to c*m + i + s*m**2 and give s.\nAnswer: -84","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen eighths of a kilometer in meters?\nAnswer: 1625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 4 - 4)*((2*q - 2*q - 2*q)*(-1 - 3 + 9) + q + 0*q + 0*q).\nAnswer: 18*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = 2*l**3 + 3*l**2 - 3*l + 3. Let b(h) = -h**3 + h**2. Let s(p) = -3*b(p) - x(p). Determine s(6).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*c + c**2 + 27*c**4 + c**3 - 1 + c**3 - 2 + 2 in the form z*c**4 + p*c**3 + r + b*c**2 + o*c and give o.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q + 6 = 2*q. Suppose 45000 = -q*z + z. Round z to the nearest 1000.\nAnswer: -9000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(2\/5)\/(q**(-8)*q))\/(q**(-6\/5)*q*q*q\/q**3)*(q**(-1\/2))**13\/((q\/q**(1\/3))\/(q\/(q*q*(q\/q**1)\/q*q))) assuming q is positive.\nAnswer: q**(13\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/5? (a) -4\/3 (b) 5 (c) -808 (d) -18 (e) 0.4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cec when three letters picked without replacement from bcbecbcexe.\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*v - 9*v - 3*v.\nAnswer: -8*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -s**2 - 4*s + 5. Let z(c) = -4*c**2 + 7*c - 3. Let j(h) = -h**2 + h. Let g(a) = 5*j(a) - z(a). Give 5*g(d) - 3*p(d).\nAnswer: -2*d**2 + 2*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (12\/(-10))\/((-18)\/60). Let p be (0\/z - 3)\/(-1). Suppose o - 62 = -c - 0*o, -3*o = -p*c + 216. Is c a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) be the first derivative of -z**2 + 24. Let w(f) = 42*f. Give x(w(k)).\nAnswer: -84*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 15 - 25. Let x be (-12)\/(3 - (-45)\/o). Solve -4 = -3*s + x for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 999 by 3.\nAnswer: 333","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*q + 2*t + 4 = 0, -2*q - 17*t + 8*t - 18 = 0 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -2\/5 (b) 28 (c) 14 (d) 6\/11 (e) 0.1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*c - 338 = -98. Suppose -c = -8*x + 2. Calculate the lowest common multiple of 4 - ((-2)\/x)\/((-14)\/(-84)) and 30.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2572822729*v**2 + 202892*v + 4.\nAnswer: (50723*v + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 96207?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 1, s: 2, u: 1}. What is prob of picking 1 s and 1 j?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 29 - 16*k + 10*k - 148*k.\nAnswer: -154*k + 29","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 617*i**4 + 285.\nAnswer: 2468*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = c**3 - 11*c**2 + 8*c + 24. Let s be j(10). Let l be 3\/(2 + s)*0\/1. Solve m - 4 = w, l = -3*m - 3*w - 0*w for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -1540, 4, 0.6, -5, 49, 2\/9 in increasing order.\nAnswer: -1540, -5, -3, 2\/9, 0.6, 4, 49","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-72828)\/34272 + 55\/24.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -7 + 3. Let o(v) = v**3 + v + 1. Suppose 12*l + 3 = 7*l - 3*g, 0 = 2*g - 8. Let h(b) = -2*b**3 - 2*b - 2. Determine l*h(c) + n*o(c).\nAnswer: 2*c**3 + 2*c + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 273 + -150. Let t = -104 + 181. Let u = c - t. Is u composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.1*52.\nAnswer: -5.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 60 minutes after 1:06 PM?\nAnswer: 2:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 138157044?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + 3*v = -1273 - 1385, -4*v = 5*i - 3338. What is the greatest common factor of i and 74?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*t = -15*t + 320. Suppose t*x - 66*x + 3158 = 0. Is x a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12932 = 11*w - 50415 - 36063. Is w a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1408 and 8161472.\nAnswer: 704","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 62560 or 62558?\nAnswer: 62560","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = t - 2. Let j(v) = -5*v + 11. Let m(c) = 11*i(c) + 2*j(c). Let p = -30 + 32. Let y(q) = -5*q**p + 14*q - 14*q. Determine m(y(w)).\nAnswer: -5*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.352198 years in centuries?\nAnswer: 0.09352198","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -t + 63 = -10*t for t.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 120 + 60. Suppose -r = 2*i - 5*i. What is the highest common factor of 40 and i?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-2)\/((-126)\/175) - 4\/(-18). Factor 6*p + 7*p**3 - 3*p + a*p - p + 12*p**2.\nAnswer: p*(p + 1)*(7*p + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-36)\/(-12)*(-7)\/6.\nAnswer: -7\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.3531887 centuries to millennia.\nAnswer: 0.03531887","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 + 2*j**3)*(0 - 1 - 1) + j**3 + 0*j**2 + 0*j**2 + 10*j**3 - 13*j**3 + 8*j**3 - 3*j**2 - 16 + 3*j**3 + 16.\nAnswer: 5*j**3 - 3*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = 3*t, 3*t - 23 = -0*l - l. Let d be 2*((-28)\/l)\/(-7). Calculate the greatest common factor of d and 9.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2183\/2 + 1069. Calculate the common denominator of k and 215\/(-240) - 2\/3.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 11100100100000000011100 (base 2) to base 3\nAnswer: 112002101221102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 1 + 21\/(-18) + 50\/156\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -13*j**2 - 15*j - 6*j**2 + 11*j - 4 - j**3 - 18*j - 3*j wrt j.\nAnswer: -6*j - 38","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-3 - -2)\/((-1)\/5). Suppose o*u - 5 = 5. Suppose -3*a - u*a + 2*i + 41 = 0, -17 = -2*a + i. Is a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -23*l - 20*l**3 + 19*l**3 - 173*l + 208*l - 19*l.\nAnswer: -l**3 - 7*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3115, -3093, -3081, -3085, -3111, -3165?\nAnswer: -3253","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -20 - -24. Suppose -30 = t + t - 5*v, d*t - 4*v = -60. What is the tens digit of (99\/t)\/((-1)\/5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3680460 to the power of 1\/2, to the nearest integer?\nAnswer: 1918","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 x when two letters picked without replacement from {x: 7, r: 2}?\nAnswer: 7\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 13549155, 13549169, 13549183, 13549197, 13549211?\nAnswer: 13549225","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wfn when three letters picked without replacement from wzzzffzyyn?\nAnswer: 1\/360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in three fifths of a meter?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1619.\nAnswer: 1619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) be the third derivative of n**7\/2520 - n**6\/45 + 17*n**4\/4 + 10*n**2 + 1. Let y(g) be the second derivative of a(g). Factor y(h).\nAnswer: h*(h - 16)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -42 - -46. Let i = d - 4.4. Which is the closest to 0.5? (a) -1\/5 (b) -1 (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -4, 0.5, 2, -1\/2931, -2\/131, 0.35?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 6 - 2. Suppose -1 + 19 = -6*b. What is the smallest value in -0.7, d, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -56.155214939 minus 3?\nAnswer: -59.155214939","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(204) + (-3*(-1*sqrt(204) - sqrt(204)) + sqrt(204) - sqrt(204)))\/((sqrt(120)*-2)\/sqrt(10)).\nAnswer: -7*sqrt(17)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d + 2*d = 33. Let o be 2\/((-1)\/(-14) + 0). Suppose o = -0*l + 4*l. What is the least common multiple of d and l?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10 - 1 + 6 + d.\nAnswer: d - 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) be the second derivative of z**9\/2520 + z**6\/240 - z**4\/3 - 4*z. Let j(f) be the third derivative of k(f). What is the second derivative of j(g) wrt g?\nAnswer: 72*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -9, -0.3, 2, -8\/15, 0, 1 in descending order.\nAnswer: 2, 1, 0, -0.3, -8\/15, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 72 - 80. Let w(c) = -2*c**3 - 18*c**2 - 17*c - 4. Let x be w(m). Solve -3*g = -x*g + 2*a + 7, -17 = -2*g + 5*a for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh smallest value? (a) -34 (b) -2 (c) -1\/4 (d) -1\/2 (e) -5\/3 (f) 14 (g) -29\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 631, 678, 729, 784, 843?\nAnswer: 906","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f = -3*c - 0*f + 8, f = c. Suppose -9 = -c*z + 27. What are the prime factors of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**0)**(-44)*z**(6\/11)*z**(-4))\/((z\/(z\/(z*z*z**0*z*z)*z)*z)**(-11\/6)\/(z**2\/(z**(-6)\/z*z*z))) assuming z is positive.\nAnswer: z**(359\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Are 37 and 43 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 96232?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -12*o + 6*o + 1134. List the prime factors of o.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -22616634*q**2. Let j(p) = 4*p. Calculate z(j(c)).\nAnswer: -361866144*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21985 = -4*q + 9*q. Is q prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-4)\/(2 - (2 - -1)). Let d(x) be the second derivative of -3*x - 1\/6*x**3 + 0 + 3*x**2 + 1\/20*x**5 - 5\/12*x**p. Give d(5).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2\/7 or 2379507?\nAnswer: 2379507","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor 72*d**3 + 36285*d**2 + 70782*d.\nAnswer: 3*d*(d + 502)*(24*d + 47)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*w = 5*p - 27, -4*p + 21 = -w + 15 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5534 is divided by 346.\nAnswer: 344","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v + 560 - 2561 = -4*w, 2*w - 1201 = -3*v. Let l = v - 282. Is l prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -64 + 79. List the prime factors of 3\/c + 8208\/60.\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 665 minutes before 9:18 AM?\nAnswer: 10:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -27617 - -46317. Round i to the nearest 10000.\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(1\/3)\/g)\/g*g\/(((g**(2\/3)\/g)\/g)\/g)*(g*g\/(g\/(g\/g**4)*g))\/g**(1\/2) assuming g is positive.\nAnswer: g**(-11\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -336*l + 4514*l + 9*l.\nAnswer: 4187*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 301 and 2026547?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 11332 + -1?\nAnswer: 11331","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -15.8 - 1004314260.549?\nAnswer: -1004314276.349","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 9 - (-2)\/(1 + 0). Suppose 3*b - 134 = v, 54 = 3*b - 2*b - 5*v. Calculate the highest common divisor of b and c.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 671 and 6588.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 - -3)\/(9\/15).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 30\/28 + (7 - 138\/21). Let b = -16.8 + -0.2. Do v and b have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*g*g*g\/g**(-4)*(g*g*g**(-4)\/g*g*g)\/g*g)\/(g**(-2\/9)*g**(-4\/3))*(g**(2\/5))**(-19)*(g*g\/(g**4*g))\/(g\/(g*g**(-4))) assuming g is positive.\nAnswer: g**(-272\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 5a (base 11) in base 7?\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 25 (base 7) in base 14?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -26*q**3 + 1. Let j be p(1). Let g = j + 36. Let x = g + -6. Let w(u) = 4*u + 5. Let h(s) = -10*s - 12. Determine x*h(t) + 12*w(t).\nAnswer: -2*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 44793.\nAnswer: 3, 7, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 2435.6 times -0.04?\nAnswer: -97.424","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is -681 greater than -683?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -109 + 103. Sort -4, -2, f, 3 in decreasing order.\nAnswer: 3, -2, -4, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 466*o**3 + 1742 - 1742.\nAnswer: 466*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 57 - 39. Suppose 2*p + 3*p = -20. Let w = 0 - p. Solve 3 = -3*y, -w*g + y - k = -y for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4767*u**3 + 1565*u**2 + 3900*u + 192?\nAnswer: 28602*u + 3130","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 552 minutes after 3:01 PM?\nAnswer: 12:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -10733\/12 + 885. Calculate the common denominator of -3\/8 and n.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o*o*o\/((o**(1\/5)\/o)\/o))**(-1\/52)*o**(-1\/5)*o*o**0 assuming o is positive.\nAnswer: o**(46\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = 107608*r + 860916. Calculate l(-8).\nAnswer: 52","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f - 2*w - 194 = 2*f, 0 = -f - w + 182. Sort 2, f, 3 in decreasing order.\nAnswer: f, 3, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 1403907925?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 21615?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i + 18 = 5*c, -11*i = -7*i + 3*c - 36. Let b be 410\/4 - (-6)\/12. Suppose -i = -3*d, 2*q = -2*d - b + 421. Is q a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 262?\nAnswer: 2, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f = -4*x + 79, 3*x = 6*x + 3*f - 63. Suppose q - 5*q + x = 0. Solve -q*i + 10*i = 0 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -47*z + 47*z + 2*z**3 - 3 + 3*z**2. Let q be (-189)\/36 - 1\/(-4). Suppose 0 = 3*d + 2*d - 15. Let j(x) = 4*x**3 + 5*x**2 - 5. Give d*j(f) + q*c(f).\nAnswer: 2*f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 28067 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: Let a = -15 + -12. Let z = 51 + a. Is z a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -55*a + 50*a + 15 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) be the second derivative of l**5\/20 + 3*l**4\/4 - 5*l**3\/3 - 37*l. Give f(-10).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1424892 by -50889.\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -27 + 31. Find the second derivative of 31*w**4 + 5*w + w**y - 17*w + 6*w wrt w.\nAnswer: 384*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b = -2*b. Suppose b = -5*w - 10, -5*f - 2*w + 22 = -3*w. Solve 2*i - f = 3*i - 2*s, -4*i - 4*s - 4 = 0 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 104 is divided by 33.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put 7, -7, -0.08, 141, 1\/3 in increasing order.\nAnswer: -7, -0.08, 1\/3, 7, 141","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is -2805864 less than -2805861?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 = 3\/12431?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -11626555 (base 8) in base 10?\nAnswer: -2567533","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 412 divide 3326783?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -219*a**5 + a**3 + 8*a**2 - 4077*a.\nAnswer: -4380*a**3 + 6*a + 16","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -29047, -29048, -29049?\n\"Answer: -z - 29046","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a**(-3\/10)*a\/a**(2\/11)*(a**(-1))**(-24) assuming a is positive.\nAnswer: a**(2697\/110)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) be the second derivative of -x**5\/20 - x**4\/3 - x**3\/6 + 3*x**2\/2 + 56*x. Calculate z(-3).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) be the second derivative of j**2\/2 - j + 226. Let h(a) = a**2 + 11. Determine -44*g(i) + 4*h(i).\nAnswer: 4*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 701270 and 20.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*u*y**4 - 2174*u*y**3 + 9787*u*y**2 - 27*y**4 + 70*y**2 wrt y.\nAnswer: 48*u*y - 13044*u - 648*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 8441703?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -32, -112, -192?\nAnswer: -272","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 49070?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8, -9, -32, -36, -6, 3, 0 in decreasing order.\nAnswer: 3, 0, -6, -8, -9, -32, -36","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is -2 + 941852\/3 - (-448)\/1344 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (28 + -28)\/(0 - 4). Solve p*a + 2*o - 20 = 3*a, -o = 3*a + 8 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (8 - 8) + (3 - 2) - 3.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = f**2 + 4*f - 5. Let d be m(-5). Suppose -i + 4 = -d*i. Let l(r) = 4*r + 1. Let k(t) = 3*t + 1. Let b(w) = -5*k(w) + 4*l(w). What is b(i)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 42, 9, -166, -555, -1230, -2263?\n\"Answer: -12*f**3 + f**2 + 48*f + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f - 1 - 5 = 0. Suppose f*o = -0*o + 6. Solve 0 = -o*y - 16 + 6 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -9*n*r**3 + 4789*n - 62*r**4 wrt r?\nAnswer: -27*n*r**2 - 248*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + -5 + sqrt(475) + sqrt(475)*-1)**2 - -3*(sqrt(228)\/(2*sqrt(12)) + sqrt(19) + 2)**2.\nAnswer: 18*sqrt(19) + 565\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -j**2 - 9*j + 4. Is 24 a factor of c(-5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 560 and 240?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -922, -2950, 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(-5*(sqrt(121) - sqrt(121)*1) - -3*sqrt(121)*-5)\/((sqrt(110)*2*-2)\/(sqrt(30)\/sqrt(3)*4 + sqrt(10) + sqrt(10))).\nAnswer: 90*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 83916 and 36?\nAnswer: 83916","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 968223.9ug to grams.\nAnswer: 0.9682239","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2161?\nAnswer: 2161","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 17\/(-85)*-30*1312\/(-96).\nAnswer: -82","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -18362, -18361, -18360, -18359, -18358, -18357?\nAnswer: -18356","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 1*86153\nAnswer: 86153","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6135227?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/(g**(-1\/13)*g)*g)\/(g**0\/g)*g**(1\/4)*g**(-1\/13) assuming g is positive.\nAnswer: g**(9\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + sqrt(242) + -1*sqrt(242) + sqrt(242))*6*5 - -4*((1*sqrt(242)*-2)**2 + ((sqrt(242) + 0)*-5)**2).\nAnswer: 330*sqrt(2) + 28162","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 20 and 50?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30 = -20*z - 150 for z.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11 + (-4 - -17) + (-37 - 7).\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -f + 6. Let z be 22\/66 - (-13)\/(-3). Let n be (z + 70\/15)\/(4\/30). What is g(n)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -130250719 = -208*q + 98*q - 213*q. Is q composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -w**3 + 8*w**2 - 3*w - 11. Let q be (-2)\/6 + (-19)\/(-3). What is the tens digit of o(q)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 836, 1754, 2672, 3590, 4508, 5426?\n\"Answer: 918*y - 82","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of ((-2)\/(-6*38))\/(214\/(-4922)) and 113\/12.\nAnswer: 228","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 25236392 to the power of 1\/2, to the nearest integer?\nAnswer: 5024","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o + 2*o = 25. Sort -3, 4, o in decreasing order.\nAnswer: o, 4, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 2507 = -2*a, a + 0*a - 4 = 0. Is i prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(200) - (-2 + sqrt(200))*-3) + sqrt(200) - ((sqrt(2) - sqrt(12)\/sqrt(6)*-4) + -3))*-5 + 4 + 2.\nAnswer: -225*sqrt(2) + 21","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put -26, 4, 10, -4, 47 in descending order.\nAnswer: 47, 10, 4, -4, -26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2490 in 1\/4, -3, 6, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (136 - 136 + 122*g)*(2*g**3 + g**2 - g + g) to the form f + j*g + v*g**3 + l*g**2 + a*g**4 and give v.\nAnswer: 122","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 447727?\nAnswer: 7, 167, 383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -o + 9. Let j(v) = -9. Let s = 273 - 279. Let q(t) = s*m(t) - 7*j(t). Give q(-4).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 45\/(-18)*22\/110*2\/35?\nAnswer: -1\/35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 4577.5 - 4578. Suppose 1 + 5 = 2*j. Let c be (1\/3)\/(j\/(-6)). What is the nearest to 0 in c, p, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 17, -34\/5, 1\/4.\nAnswer: -34\/5, 1\/4, 3, 17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -1\/28, 1\/2, -0.1, 5, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -127*g + 620 - 620 + 2*g + 0*g - 3*g + (-3 - 11 - 1)*(2*g - g - 2*g) - 1 + 1 + 2*g.\nAnswer: -111*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 23, 35, 55, 83, 119?\nAnswer: 163","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 1\/5, -1.1, -0.4, -4.\nAnswer: -4, -1.1, -0.4, 1\/5, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand -u**3 + u**3 - u**3 + (1 - 2*u**3 - 1)*(1980 - 3479 - 2017).\nAnswer: 7031*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (-509)\/(-1018)*(-45)\/(-5)*4\/(-6)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 0.2 (b) -30 (c) -0.13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -37195491 divided by -470829.\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (((-67)\/(-2010))\/(2\/6))\/((-1)\/((-36)\/(-30)))\nAnswer: -3\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 570\/17 - 4602\/119. Find the common denominator of b and -14\/5.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.1 + 296\nAnswer: 296.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 10858\/(-549) + 60\/3. What is the second biggest value in 2\/13, c, 6?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1.8 - 1.79999776. Round q to 6 decimal places.\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2*g**3 - 1653*g**2 + 5*g*h**2 - 234*h**2 - 15*h + 2 wrt g.\nAnswer: 6*g**2 - 3306*g + 5*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 29977, 30070, 30225, 30442, 30721, 31062?\n\"Answer: 31*w**2 + 29946","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -y**3 + 14*y**2 + y - 11. Let a be h(14). Suppose -a*p - 17 = 2*k, -k - 4*p - 21 = -0*k. Which is smaller: -1\/61 or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 19264999?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24 + 60 = 42*h for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 13431464 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*b + 6*b + 9 = 0, -4*j + 29 = 3*b. Calculate the smallest common multiple of j and 22.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of c*h**2*i**3 - 22*c*h**2*i**2 - 7*c*h*i**3 - 5*c*i - 42*h**2 - h*i**2 + 41*i**3 wrt h.\nAnswer: 2*c*i**3 - 44*c*i**2 - 84","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 0 - ((-2 - -10) + -10). Solve 12 = 4*b - 2*c, -c = -3*b - a*b + 15 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-5)\/(-10))\/1*(-640)\/(-40)\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -73\/350 and 79\/20.\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 29591 - 16*q - 29641 + 24*q + 2*q**2 - 10*q.\nAnswer: 2*q**2 - 2*q - 50","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.0579 to 1 dp.\nAnswer: -1.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 64667173?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 > 131\/18?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 - (1 - 4)) + (-203)\/49.\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1\/17917, 1, -0.0458?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 15\/10*44\/132*22?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is five quarters of a gram in milligrams?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 6? (a) -3 (b) 7 (c) 2\/3 (d) -1.8 (e) -3\/5 (f) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (2\/(-8))\/(2\/(-8)). Suppose 11 + x = 4*w. Suppose m - w*m = 6. Put -2\/15, m, -2 in decreasing order.\nAnswer: -2\/15, -2, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*c**2 - c**2 + c**2)*(-3 + 1 - 9 + (-3 + 1 + 4)*(1 - 2 + 3)).\nAnswer: -14*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 17128, 17143, 17166, 17203, 17260, 17343?\nAnswer: 17458","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 5, -2, -88, 19, -4 in ascending order.\nAnswer: -88, -4, -2, 4, 5, 19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 80608700 a multiple of 405?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - 575 = -3*q + 440, -q + 333 = -5*n. What is the tens digit of q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 1 - 2\/((-680)\/(-341)). Let w(o) = 11*o**3 + 79*o**2 + 77*o - 5. Let x be w(-6). Which is smaller: c or x?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -5341.13 to the nearest ten.\nAnswer: -5340","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 0.5, 16, -9, 0?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 969005 less than 969005?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aee when three letters picked without replacement from meamae.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -117, -472, -1035, -1806, -2785, -3972, -5367?\nAnswer: -6970","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -13370, -13386, -13424, -13496, -13614, -13790, -14036?\n\"Answer: -2*x**3 + x**2 - 5*x - 13364","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 40169242?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*i + 6*i - 2*i)*(-3*i + 3*i + 2*i + (5 + 0 - 4)*(0*i - i + 2*i)).\nAnswer: 3*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = c**2 + 4*c + 1. Determine d(-3).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = n. Let z(q) = 5159*q. What is z(l(t))?\nAnswer: 5159*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(35)\/sqrt(112) - sqrt(5)) + -6*(sqrt(5) + -1) - 1*sqrt(30)\/sqrt(6)*-6.\nAnswer: -3*sqrt(5)\/4 + 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -8 + 12. What is the common denominator of (5 + -5)\/(-5) - 80\/(-54) and (-127)\/((f*-6)\/(-2))?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 582702514 divided by 1\nAnswer: 582702514","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*a**2\/a*a\/(a**3\/a))**20*(a*a*a**(-2))**(14\/9)\/((a*a\/((a*a*a\/(a\/(a**(-2\/7)\/a)*a)*a)\/a*a*a*a)*a*a*a*a*a)\/(a\/(a\/(a\/a**1*a)*a))) assuming a is positive.\nAnswer: a**(110\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = l**2 - 8*l. Let a be r(8). Suppose -i = -4*j - a*j + 84, 0 = 3*j + 2*i - 52. Does 11 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 133539.489s in days?\nAnswer: 1.5455959375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 581?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -c**2 + c + 1. Let j(v) = 5*v + 0 - 5*v**2 + 1 + 6. Let f(k) = -6*h(k) + j(k). What is the units digit of f(0)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1406 + 1640. Calculate the highest common divisor of 650 and c.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s = m - 79 + 68, -2*s = 3*m + 9. Calculate the smallest common multiple of (-148)\/(-5) + 2\/5 and s.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-63)\/(-1890))\/(28\/210)*-4*1?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*d - 2*d + 8 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-10)\/(-25)*5)\/(-1).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = f**2 + 16*f - 53. Let v be q(-19). Solve -2*n = -v*m, 0 = m - 0*m - n for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tttxxxtxxtxtttttttx. Give prob of picking 2 x.\nAnswer: 7\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence smms when four letters picked without replacement from sssmsssm?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 238*s = 422*s - 290*s + 3180 for s.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 155356 is divided by 62?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.4 (b) -1 (c) -4 (d) 2\/53\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:55 PM and 7:15 AM?\nAnswer: 680","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 45 and 3345.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 42416b2 (base 12) to base 11\nAnswer: 7086a18","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 7348 - 7105. Is 3 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -14 + 13.9. Let t = -72.06 - 0.94. Let a = -78 - t. What is the closest to -4 in a, u, 3\/5?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*g - 40 = 10*g for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = 20*h + 8632. Let x(g) = -17*g - 8636. Determine 5*p(i) + 6*x(i).\nAnswer: -2*i - 8656","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) be the third derivative of 0*h - 5\/8*h**4 - 7\/6*h**3 + 1\/12*h**5 + 0 + 24*h**2. Is c(-11) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1289 + 1301. What is the least common multiple of b and 1012?\nAnswer: 3036","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 64 - 39. Suppose 0 = 4*f - 0*f + 68. Let q = v + f. What is the lowest common multiple of 5 and q?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 42 and 406.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -42, -75, -120, -183, -270?\nAnswer: -387","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 139?\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xp when two letters picked without replacement from pxxxpxxxxpxxxpxpxxxx.\nAnswer: 15\/76","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 21634?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -285273*f**4 - 697555 wrt f?\nAnswer: -1141092*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.1 + 0.9. Let d = 8 - p. Let w = 7 - d. Which is the closest to w? (a) -3 (b) -1 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -12208, -24437, -36664, -48889, -61112, -73333?\n\"Answer: a**2 - 12232*a + 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 53, -5, 4\/3, 1\/3, 2\/13, 2\/93?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*l*l\/(l\/l**(-4))*l*l**(-6))\/((l*l**(-4\/9))\/l**2)*((l*l**(2\/7))**(-35\/2))**(-48) assuming l is positive.\nAnswer: l**(9670\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 2152703495 take away 29?\nAnswer: 2152703466","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = 112*o - 257. What is the hundreds digit of g(6)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3825)\/765*(-10)\/(-4)*22\/(-110).\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 20 + 0)*(-4*y + 4 - 4).\nAnswer: 76*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 17 - 25 - (2 + -2 + -10) - 5.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 4412347984?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/((l\/l**1)\/l)*l**5*l**(-2\/25)\/l*(l\/((l*(l*l**(-4))\/l)\/l))\/l)**(1\/14) assuming l is positive.\nAnswer: l**(124\/175)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 216 and 81?\nAnswer: 648","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 36*q - 13*q - 6*q + 32*q**2 - 14*q.\nAnswer: 32*q**2 + 3*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 10\/20 - 2\/4*3. Let z(u) = 55*u - 5. Let y(p) = 1. Let v(c) = -3*y(c) - z(c). What is the units digit of v(b)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = y**2 + y. Let o(f) = 8*f - 7. Let m(d) = 2*b(d) - o(d). Let a be m(5). Let h = a - 24. Solve 2*c + 20 = -h*c for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1 * 36.61.\nAnswer: -36.61","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-242)\/66*936\/(-10868)?\nAnswer: 6\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u - 6 = -16. Let q be u\/((-8)\/(-12)) - -8. Suppose 2*x + 5*s - 15 = -5, -x = -5*s - q. Is x a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 1 (b) 4 (c) 0.4 (d) 10\/33 (e) -0.4 (f) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 5338 - 5338.4. What is the nearest to 2\/7 in 0, c, 2\/27, 5?\nAnswer: 2\/27","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -10 + 10. Solve o = -2*k - k + 6 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 24\/14 - (-8)\/28. Suppose p*w + w = -24. What is the units digit of -2*(w + (3 - 2))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-14)\/(-1) + ((-54)\/9 - 2). Let k be 1\/(2\/(-8))*-6. Suppose k = -l*z + 402. List the prime factors of z.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-17017)\/(-20449) - (-216)\/(-234).\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -58*o - 1944571 + 13292793 = 0. Is o composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/2 in 0, 2892, -1.4, 0.103?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1.1 - -1. Let d be (-207)\/(-810) - (-1)\/(-5). Let f = 31\/90 + d. What is the fourth smallest value in 0, x, 5, f?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (41\/(5330\/(-156)))\/((-5)\/((-50)\/33))\nAnswer: -4\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 - c)*(52*c**4 - 76*c**4 - 238*c**4).\nAnswer: 262*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 4777 - 4774. Suppose 8*k = 3*k + 120. What is the highest common factor of l and k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.9 less than -68.9958024?\nAnswer: -67.0958024","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 2 + -1ce?\nAnswer: -1cc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*r = 5*r - w + 1, -2*r + 2 = -w. Solve -2*u + 3 = r for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -7*k**3 + 21*k**2 - 53*k + 2. Let d(h) = -11*h**3 + 32*h**2 - 80*h + 3. Let u(r) = 5*d(r) - 8*l(r). What is the units digit of u(7)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -5*o**2 + 2*o - 2. Let w(k) be the second derivative of 119*k**4\/12 - 49*k**3\/6 + 49*k**2\/2 + k + 23. Give 49*t(h) + 2*w(h).\nAnswer: -7*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 60 a multiple of 30?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 12031969241.99999807 - 12031969151. Let z = p - 91. What is z rounded to 7 dps?\nAnswer: -0.0000019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 88 and 396?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (-3 - -1) + -8 + 19 + -7\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -28d5 - -1b5?\nAnswer: -2720","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-5)\/((-390)\/(-144)))\/(-21*(-24)\/(-4368))?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -71.36 - -71. Let z = -1.36 - b. Is z > -2\/11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/m**(-2\/5))**(2\/5)*(m*m*m**(1\/4)\/m)**(-2\/19)*((m*((m*m\/m**(2\/3))\/m)\/m*m)\/m*m**(-2\/13)\/m)**(-2\/153) assuming m is positive.\nAnswer: m**(2489369\/5668650)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14*w**2 - 6 + 17*w**2 + 37*w**2 - 1 + 5.\nAnswer: 68*w**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -75997.69775 - -75990. Let s = 4.2 + -11.9. Let z = m - s. Round z to 4 dps.\nAnswer: 0.0023","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -18369 times 29\nAnswer: -532701","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*(sqrt(48)\/sqrt(2) - sqrt(24)))\/(-3*(sqrt(8) + sqrt(8)*1 - sqrt(8))))**2*-3.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ssggsssssg. What is prob of picking 3 s and 1 g?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3247\/12 + -270. Let d = -8\/3 + 3. Do d and t have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = z. Let c be s(6). Let i = 4 - c. Let y(h) = 10*h**3 - h**2 + 5. Let u(a) = 5*a**3 + 2. Let j(r) = i*y(r) + 5*u(r). Factor j(d).\nAnswer: d**2*(5*d + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 8 - (4 - (1 - 1)). Solve k*a - 25 + 5 = 0 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 78781 is divided by 5477?\nAnswer: 2103","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = 20*o + 3. Let n(r) = 540*r + 80. Give -80*l(y) + 3*n(y).\nAnswer: 20*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**(1\/4)*d**(-1\/8)\/d*d*d\/(d\/(d*d\/d**5))*d\/(d*d*d**(-2\/11)) assuming d is positive.\nAnswer: d**(-325\/88)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 10*h + 1 + 9*h)*(h**2 - h**2 + 2*h**3).\nAnswer: -2*h**4 - 4*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 278673?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -59\/975 - -1486544\/975. Let h be ((-5)\/(10\/(-6124)))\/2. Let f = w - h. Find the common denominator of -29\/9 and f.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -38*x**3 + 3*x**2 + 4*x + 2. Let f be p(-1). Calculate the highest common divisor of 221 and f.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8203.\nAnswer: 13, 631","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*k - 728 = -780 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -4379052*s**2 + 5196*s + 132 wrt s.\nAnswer: -8758104","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/7, 13\/115, 5, -2\/13.\nAnswer: -2\/13, -1\/7, 13\/115, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0 - 16. Suppose -2160 = -303*c + 307*c. List the prime factors of c\/t + 9\/(-12).\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zzzzzozozozzzzzzzzo. What is prob of sequence ozo?\nAnswer: 10\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v + 2 = v. Let r be v\/2 - 66\/4. Let o(j) = -3*j**3 - 11*j - 14. Let t(n) = -n**3 - 4*n - 5. Calculate r*t(h) + 6*o(h).\nAnswer: -h**3 + 2*h + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 12956146 < 12956150?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 5\/(5\/(-3)) + -7. Let u = j + 14. Solve u*f - 10 = -2 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of (11 - (-1)\/(-1))*1?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(2178)*-2)\/(2*sqrt(54) - sqrt(384)*-2)*-2.\nAnswer: -2*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + 3 = 4*z - 1, r - 5 = -5*z. Let s = -550 - -552. Let i be 1*((s - 8) + 16). Which is the third smallest value? (a) z (b) i (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 5314.014 - 5314. Let j = 0 - 1. Which is the third biggest value? (a) u (b) 2 (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -z + 2*z + 2*z - 2*z.\nAnswer: z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 35822257?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c + 4*a + 30 = 0, -3*c = 2*a + 6 - 2. Let r(f) = -f - 1. Let b be r(-4). Suppose b = k + 1. Solve -3*x + 15 = -3*p, 2*p + k*p = c*x - 12 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 632 divided by -4?\nAnswer: -158","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 74468 + 51015 = 116*s - 51417. What is the remainder when s is divided by 30?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kxnkxxkk. Give prob of picking 1 n and 3 k.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 409 is divided by 120?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-g + 0*g + 0*g)*(-3 - 2 + 6)*(0*g - g - 12*g).\nAnswer: 13*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 7548824 a multiple of 181?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide -88 by 34065.\nAnswer: -88\/34065","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f + 3 = 4*g - g, -5*f - 4 = -4*g. Suppose -3*t + 5 = 5*z + 2*t, -3*z - 1 = 5*t. Let i be (z + 0)*(-6)\/33. Which is bigger: f or i?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*r**2 + 5*r**2 - 4*r**2 + (14 - 22 - 18)*(11*r**2 - 3*r**2 - 2*r**2) + 2*r - 2*r**2 - 2*r to m + d*r**2 + w*r and give d.\nAnswer: -159","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in a**3 - a**3 + 55*a**2 + 59*a + a**3.\nAnswer: a**3 + 55*a**2 + 59*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Determine r so that -15\/8 - 33\/8*r - 21\/8*r**2 - 3\/8*r**3 = 0.\nAnswer: -5, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = 1107*c**2 - 10*c + 8. Is v(-5) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) be the third derivative of 19*z**7\/210 + 7*z**3\/2 - 25*z**2. Differentiate h(b) with respect to b.\nAnswer: 76*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j = -14*o + 11*o - 2, 0 = -5*o + 4*j - 8. Let l = 29 - 13. Suppose o = f - l - 12. Does 14 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 9908.887 * -23\nAnswer: -227904.401","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*u - 3*u - 11*u)*(6 - 4 + 0).\nAnswer: -28*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 189*j - 2876084 = -2872871 for j.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = o**3 + 11*o**2 - 15*o + 6. What are the prime factors of k(-12)?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = 4*z**2 - 5*z - 10. Let v(c) = -78*c - 13. Let o be v(-2). Let f be o\/26 - 1\/(-2). Is 25 a factor of d(f)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.5, 0.4, 0.0185, -4?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 8 - 8. Let k = -16 + 19. Let m be (6 - 3) + k + -1. Which is bigger: x or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:19 PM and 2:36 AM?\nAnswer: 557","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = p + r - 121, -p = -10*r + 7*r - 113. Suppose 0 = -123*m + p*m - 92. Do m and -17 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -22 - -12001110123121?\nAnswer: 12001110123033","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 629 - 893. Let c = 263 + u. Let q be ((-4)\/8)\/(2\/(-12)). Put -3, c, 5, q in descending order.\nAnswer: 5, q, c, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-71 + 4*x + 69 + 2*x)*(2*x - 9*x + 2*x) in the form k*x**2 + p*x + u and give p.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n - 3*p + 74 = 0, 4*n - 309 = 2*p - p. Calculate the remainder when (-1 - 0) + n + -6 is divided by 19.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -368*w**2 - 10*w - 5. Let x(p) = 1842*p**2 + 48*p + 24. What is -24*i(s) - 5*x(s)?\nAnswer: -378*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1 + 1.09. Let u = v + -0.03. Let g = u + -0.06. Are g and 2 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) 0.1 (b) 5 (c) -110 (d) -0.4 (e) 10\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -2.242068 to two dps.\nAnswer: -2.24","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = 3*h - 112. List the prime factors of h.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7832*v - 7871*v - 156. Suppose -t + 1 = -1. Let y be t\/(-10) + (-2)\/(-10). Sort -13, v, y, -1.\nAnswer: -13, v, -1, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 1226?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let 154*u**2\/5 + 21108*u\/5 + 8320 = 0. What is u?\nAnswer: -10400\/77, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1228.2 * 0.4.\nAnswer: 491.28","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 91*g - 1773 + 654 = 792. Put -19, 0.1, 3, g in ascending order.\nAnswer: -19, 0.1, 3, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-1)\/2)\/((-5)\/20). Suppose 5*b - 66 = x*o + o, 0 = 5*b + o - 58. Find the common denominator of (((-15)\/b)\/5)\/(-2) and 17\/2.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 6, k: 1, n: 4, z: 2, v: 4}. Give prob of sequence zzv.\nAnswer: 1\/510","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b + 15 = 3*b. Let d(n) = -8*n**4 - 9*n**3 - 96*n**2 - 256*n - 249. Let p(x) = x**4 - x**3 - 1. Let k(c) = b*d(c) + 21*p(c). Solve k(q) = 0 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -73b7 - -a?\nAnswer: -73aa","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + 3 + sqrt(7) + sqrt(175)*-1)**2.\nAnswer: -64*sqrt(7) + 176","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.27730895 rounded to 4 decimal places?\nAnswer: 2.2773","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 7173, 14356, 21541, 28728, 35917, 43108, 50301?\nAnswer: 57496","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 11887.93 to the nearest ten.\nAnswer: 11890","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express -475*i - 499*i + 8*i**2 + 878*i in the form k + t*i + h*i**2 and give t.\nAnswer: -96","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 69*h - 73*h + 20 = 0 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 5858290 divided by 1171658\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: Put -3, 4\/7, 2\/7, 205690, 0, -4 in descending order.\nAnswer: 205690, 4\/7, 2\/7, 0, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 96 + 2*h**5 - 92*h**4 + 33*h**2 + 190*h + 35*h**2 + 30*h**2 + 39*h**2 - 141*h**2 - 192*h**3 = 0. What is h?\nAnswer: -1, 1, 48","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: Is 42020337637 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1.6789812 months to decades.\nAnswer: 0.01399151","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 3405?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-3)\/(-12))\/((-190)\/50844) + 32\/(-320).\nAnswer: -67","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -3*n**2. Let q(v) = -2*v**2 + 16*v. Suppose 0 = 20*i - 3*i - 136. Let h be q(i). Let a(s) = 6*s - 3*s + h*s. What is b(a(u))?\nAnswer: -27*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zzzz when four letters picked without replacement from nnnznnnnnnnznnnnznnn.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = r**2 - 21*r. Let y(u) = u. What is w(n) - 6*y(n)?\nAnswer: n**2 - 27*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 20\/72*-10 + 3. Let i = 2.97 + 0.03. What is the closest to -1 in 1, i, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(-2*-2*sqrt(36))\/((-3*sqrt(120))\/sqrt(10)).\nAnswer: -20*sqrt(3)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -4 (b) 10 (c) -2\/9 (d) -6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k\/(((k\/(k*k*(k\/k**17)\/k))\/k*k)\/k)*k**11)**(-2\/25) assuming k is positive.\nAnswer: k**(6\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -f**3 - 6*f**2 + 4*f - 16. Let o be w(-7). Factor 0 - 14\/3*u**4 + 8\/3*u**o + 0*u + 4\/3*u**3 + 2\/3*u**2.\nAnswer: 2*u**2*(u - 1)**2*(4*u + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2254276049 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-2)\/2 + 3*2. Suppose w*l - 121 = 89. What is the units digit of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jtt when three letters picked without replacement from ttojttyl?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12576 divided by -24.\nAnswer: 524","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -117082*-4.\nAnswer: 468328","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.52831 to 1 decimal place.\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2108 - 700 + 2242 + 2881)*(-2 + 5 - 6 - y) to l*y + s and give s.\nAnswer: -19593","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*n**2\/9 - 76*n\/9 - 830.\nAnswer: 2*(n - 83)*(n + 45)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) be the third derivative of q**4\/12 - q**2 + 3*q. Let f(a) = 15*a. Determine p(f(s)).\nAnswer: 30*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -118 + 120. Solve 0 = -3*w - 3*k + 12, 0*w = -r*w + 5*k - 13 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 96 + -93. Solve x*z = -2 - 4 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31 = -0*j + 31*j. Let m(n) = 9*n**3 + 8*n**2 - 3*n + 6. Let w(a) = -a**3 - a**2 - 1. Give j*m(y) + 6*w(y).\nAnswer: 3*y**3 + 2*y**2 - 3*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -2 - -11 - (16 - 4). Put y, 3, -228 in decreasing order.\nAnswer: 3, y, -228","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 83 - -113. Suppose 56 - n = -4*x. Which is smaller: 237\/7 or x?\nAnswer: 237\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2074?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 4 - 3 - -11*1. Let v be 1\/(10\/m + -1). Let f = 0 + v. Let c(p) = -1. Let b(l) = l**2 - 7. Determine f*c(z) + b(z).\nAnswer: z**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-104)\/(-110) + (-342)\/627. Sort z, 0.06, 0.3 in decreasing order.\nAnswer: z, 0.3, 0.06","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) be the first derivative of t**3\/3 - 5. Let b(j) = -5*j + 0*j + 4*j. What is h(b(w))?\nAnswer: w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -z**2 - 1. Let v(s) = 20*s**3 + s**2 - 3*s + 4. Let d(n) = 2*u(n) + v(n). Suppose -a = -3*a + 2. Calculate the least common multiple of 14 and d(a).\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is 60782.16m in millimeters?\nAnswer: 60782160","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.4, -4, 69?\nAnswer: 69","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -8.08 - -0.08. Let y = -12.7 - -13.1. Which is the third biggest value? (a) y (b) m (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 107 + -105. Which is the third smallest value? (a) -23 (b) n (c) 4\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -39329291 or -39329286?\nAnswer: -39329286","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 142833981 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 8068*k**3 + 286*k**2 - k - 61410942 wrt k.\nAnswer: 24204*k**2 + 572*k - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 4122 and 1832.\nAnswer: 16488","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*h**2 + 8*h**2 - 5*h**2)*(-2*h**3 - h + h) + (-8*h**2 + 17*h - 17*h)*(-h**3 - h**3 + 3*h**3).\nAnswer: -6*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -19 - -371. Let i = 643 - z. Is i composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine q so that -4*q**4 - 101*q**3 - 479*q**2 + 584*q = 0.\nAnswer: -73\/4, -8, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 42*x**2 + 2*x + 17 wrt x?\nAnswer: 84","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 5, 16, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 2*p + 1)*(3 - 3 + 1)*(3*p**4 + 0*p**4 - 5*p**4).\nAnswer: -4*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -1774, -1776, -1770, -1750, -1710, -1644?\n\"Answer: h**3 - 2*h**2 - 3*h - 1770","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 79237369 to the power of 1\/2, to the nearest integer?\nAnswer: 8902","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 257778766 and 624792.\nAnswer: 3093345192","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 441?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 231840 and 208.\nAnswer: 3013920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 4*n**3 - 6*n**2*v**2 + 3*n*v - 433*v**2 wrt n.\nAnswer: 12*n**2 - 12*n*v**2 + 3*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*f + 43*f = -95*f - 5168 for f.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven eighths of a decade in months?\nAnswer: 165","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find s such that 4*s**3 - 22168*s**2 + 30713764*s = 0.\nAnswer: 0, 2771","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = o**2 - 4*o - 6. Let p(d) = d**2 - 2*d + 27. Let s(k) = -2*k**2 + 3*k - 25. Let f(z) = 3*p(z) + 2*s(z). Let j be f(-5). Calculate c(j).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 842, 841, 840, 839?\n\"Answer: -f + 843","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r + 2180 = -44830. Is 46\/23*r\/4 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 122011 (base 3) to base 4\nAnswer: 13033","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -3504, -7925, -12346, -16767, -21188?\n\"Answer: -4421*x + 917","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 9 + 16. Let x(z) = -22*z**2 - 43*z + 5. Let m be x(-2). Suppose 7*k + m = -d. Sort -1, -10, k, -2 in ascending order.\nAnswer: -10, k, -2, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (5*(-6)\/60)\/((-1)\/2). What is the common denominator of 79\/70 and -49*(j + (-27)\/30)?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -326 times -8?\nAnswer: 2608","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 10, -346\/39, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 4, h: 2, d: 2, o: 2, j: 3, l: 2}. What is prob of sequence lhz?\nAnswer: 8\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (32*(-18)\/(-96)*1\/(-10))\/(32\/20)\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 38459403097 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = 39*n - 467. Let o be h(12). What is the third smallest value in o, 25\/3, -0.1, -4?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3416*p + 7 + 11418*p - 7 in the form g + a*p and give a.\nAnswer: 8002","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 1133335171 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 3650\/(-70) + 8\/7 + -1. Let r be -4 + u\/(-12) - (-1408)\/6. Calculate the highest common factor of 47 and r.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -287\/114 - -1\/57. Suppose -3*s + 2*z + 2*z = -4, -5*s + 4*z - 4 = 0. Which is the closest to 0? (a) s (b) 0.1 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) be the second derivative of 0 + 3\/2*v**2 + 1\/4*v**4 - 1\/20*v**5 + 3*v - 1\/2*v**3. Calculate y(2).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r + r = -5*s + 70, -3*s = -2*r - 20. Suppose -5*d - s = 4*v, 7*d = 2*d - 2*v - 10. Let h(k) = 66*k**2 - 2*k - 3. Is h(d) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 220883625 a multiple of 1125?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -159025.5473 to the nearest one thousand.\nAnswer: -159000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1, 154848, -5\/19?\nAnswer: 154848","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 123764269.\nAnswer: 199, 313, 1987","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 260317.\nAnswer: 260317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Do -2\/7 and 2900 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h - 366 = 2*v + 427, 0 = -3*h - v + 796. List the prime factors of h.\nAnswer: 5, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -6 or -14000046?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 667532330?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = 9*t**2. Let q(d) = 16780030*d. What is u(q(y))?\nAnswer: 2534124661208100*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -236 or 367?\nAnswer: -236","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: ((-6)\/108*3)\/(8\/(-528))\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kxxkkukxxkxkkx. Give prob of picking 1 u and 2 k.\nAnswer: 3\/52","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -13584 + 21927. What is the units digit of w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 - 6\/(-2) - -156 a multiple of 25?\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 b when three letters picked without replacement from {q: 7, b: 2, s: 1}?\nAnswer: 7\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 390 a multiple of 130?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -f**2 + 8. Let g(m) = 2*m**3 - 25*m**2 + 22*m + 8. Let s(p) = -2*g(p) + 2*n(p). What is t in s(t) = 0?\nAnswer: 0, 1, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 304 - 192. What are the prime factors of s?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 208*z**3 - 1 + 17*z**3 + 1.\nAnswer: 225*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -137348897*h**2 - 20010999*h + 2 wrt h.\nAnswer: -274697794","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5)\/(-68)*4*(-25)\/(-3750)*-15?\nAnswer: -1\/34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 6, r: 4, b: 3}. What is prob of sequence brp?\nAnswer: 6\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 188*z + 1629 = 7*z for z.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1690432 is divided by 130032?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/(-5)*12170\/7302?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*m + 4*m + m)*((4 + 0 - 2)*(3 + 2 - 3) - 3 - 4 + 0).\nAnswer: -3*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 14 + -9 - (-7 + 10)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 742 and 4664?\nAnswer: 32648","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 6779, 54110, 182565, 432710, 845111, 1460334?\nAnswer: 2318945","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = q**3 + 6*q**2 - 9*q - 14. Let g be (-6)\/(-6) + -5 + -3. Let v be s(g). Is 12\/11 less than v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 17.91 - 16.683. Let o = i - 0.227. What is the closest to o in -2\/13, 1\/6, -0.3?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = 2*a**3 - 9*a**2 + 382*a - 3209. Give q(8).\nAnswer: 295","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*sqrt(28)\/sqrt(4) + sqrt(252) + 1.\nAnswer: 1 + 8*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 22 - 43221?\nAnswer: -43144","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:21 AM and 8:24 PM?\nAnswer: 663","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) be the first derivative of -9\/4*z**2 - 247 - 1\/16*z**4 + 0*z - 11\/12*z**3. Solve r(h) = 0 for h.\nAnswer: -9, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 136\/(-119)*9\/(-36)*(-25)\/(-10).\nAnswer: 5\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rnrrrnrr. What is prob of sequence rnrr?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.30641 and -15.7.\nAnswer: -4.810637","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*o**2 + 2*o**2 - o**2 + (-3*o**2 + 4*o**2 + 2*o**2)*(4 + 2 - 4).\nAnswer: 10*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l + 10 = 6*l. Suppose k - 14 = -l. Find the first derivative of -36*i**4 + 9*i**k - 16 + 7*i**4 wrt i.\nAnswer: -80*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = 37*i + 156. Suppose 0 = 5*v + 5*y - 30, -2*y + 30 = 3*v + v. Calculate the least common multiple of v and g(-4).\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sxj when three letters picked without replacement from xssssssju.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -37651*a**3 - 110457*a**3 - 96266*a**3.\nAnswer: -244374*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + 2 = -4*w, w - 2*w + 13 = 4*l. Let y be 2\/3*(-195)\/40. Let d = l + y. Which is the nearest to d? (a) -0.2 (b) -2 (c) 2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 117 - 55. Let x = a - 43. Does 9 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (3\/9)\/((-46)\/138)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ksssssssssssssese. Give prob of picking 2 s.\nAnswer: 91\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-20)\/(-6) - -2) + 24\/36. Let h = p + -6. Is h at most as big as 5\/24?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -7282, -7045, -6650, -6097?\nAnswer: -5386","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1458955476 to the nearest integer?\nAnswer: 1134","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -4*-2097.4\nAnswer: 8389.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -j**3 - 6*j**2 - 6*j + 2. Let a = 1922 - 1925. Calculate d(a).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -19, -55, -79, -61, 29?\n\"Answer: 5*g**3 - 24*g**2 + g - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3383411 is divided by 712?\nAnswer: 699","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-90)\/(-250))\/(9\/15)?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1534 and 488?\nAnswer: 374296","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express -183*t**3 + 2*t**2 - 19*t + 153*t**3 - 2*t**2 in the form w*t**3 + s*t + a*t**2 + f and give w.\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -8 + 8.3. Let s = -0.01 + -2.99. Let x = 0 + s. Which is the nearest to -0.1? (a) x (b) y (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 2, c: 3, e: 6, j: 2, r: 5}. What is prob of sequence rkc?\nAnswer: 5\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 6559 to the nearest integer?\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = 6*x + 1. Let q be v(-1). Let b(r) be the second derivative of r**4\/12 + 5*r**3\/6 - 5*r**2\/2 + 4*r. Let u be b(q). Are -4 and u non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g*g**31*g**(-34)*g assuming g is positive.\nAnswer: 1\/g","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c + 12 = 7*c. Suppose 4 = -c*t + 28. Suppose t - 118 = -2*q. Is q composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.2573553 * 2.3.\nAnswer: -0.59191719","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y = -0 + 4. Suppose y*k - 3*k - 4 = 0. Suppose 0*t = -4*t - 8. Put k, t, 1 in decreasing order.\nAnswer: 1, t, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2\/3, -4, 3, -4\/5?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 452576.\nAnswer: 2, 14143","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -117*p**4 - 62*p**2 + 297*p**4 - 11*p**5 + 6*p - 131*p**4 - 135*p**2 - 99*p**4 wrt p?\nAnswer: -660*p**2 - 1200*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 456*r**3 - 983*r**3 - 1622*r**3.\nAnswer: -2149*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2\/(2 + -4)*-1. Suppose -4*h + v + 31 = 0. Calculate the remainder when h\/(-3)*(-6)\/4 is divided by 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((m\/(m*(m\/((m\/m**(3\/22))\/m))\/m))\/m**(-5))**(1\/11))**(2\/25))**(-1\/31) assuming m is positive.\nAnswer: m**(-107\/93775)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -149\/9288 and -51\/2752?\nAnswer: 74304","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 11035 - 5434. Is 11 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:48 PM and 7:34 AM?\nAnswer: 526","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yyy when three letters picked without replacement from kyyy?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ai when two letters picked without replacement from {a: 1, n: 2, z: 1, p: 1, j: 2, i: 2}?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*r - 10*r + 2987 = 5*j, -605 = -j + 3*r. Suppose j = h - 48. What is the hundreds digit of h?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**4*p*p*p**(-5)\/p)\/((p**(-6)*p)\/p**(-5))*((p*p**(2\/7))**(27\/2))**(-10\/9) assuming p is positive.\nAnswer: p**(-135\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 29, -4, 5, 0?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -181, 3\/4, 2\/11?\nAnswer: -181","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-24)\/(-36))\/((-2)\/27). Let g = 0 - w. Solve -2*l - g = -5*k, 4*l = 2*k + 2*k for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = k**3 + 3*k**2 + 3. Let l be r(-3). Suppose 11 = -0*c + 11*c. What is the highest common divisor of c and l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = s**3 + 5*s**2 + 2*s + 1. Give p(-4).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30 = -14*i - i for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/((b**(2\/15)*b)\/b))**(-2\/85) assuming b is positive.\nAnswer: b**(-26\/1275)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -59.2001566 - -59.2. Round g to 4 decimal places.\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 2314 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 4393*h**3 + 20*h**2 - 16 wrt h?\nAnswer: 26358","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 624 is divided by 35?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -17, -6247, 2\/5, -200?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 6239281 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -n**2 - 20*n - 44. Let s be q(-17). Let a(r) = -r - 4. Give a(s).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = 9084*d + 1289926. What is k(-142)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3100 + -2722.7. What is v rounded to the nearest 10?\nAnswer: 380","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-123206)\/9*((-665)\/70 + 5)?\nAnswer: 61603","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 6230 + 3786?\nAnswer: 11126","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 20417 to the nearest integer?\nAnswer: 143","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 29.961 - 28.6. Let c = k - 0.061. Round c to 1 dp.\nAnswer: 1.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find d, given that 4*d**3 - 80*d**2 - 172*d - 88 = 0.\nAnswer: -1, 22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 - (3 + -2 + 9) - (-23 - -28).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 4 - -22?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = 63*j**3 + 13*j. Let b(o) = -32*o**3 - 6*o. Let s be ((-36)\/42)\/(-9 + (-512)\/(-56)). Calculate s*a(g) - 13*b(g).\nAnswer: 38*g**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is (-8048)\/(-4)*(-17)\/(-34) a multiple of 107?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*u - 80075 - 4099429 = 0. Is u\/84*2*9\/(-6) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6*3\/36*4\/17\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 minutes before 10:08 PM?\nAnswer: 9:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3675 is divided by 2235.\nAnswer: 1440","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -3.084*1\nAnswer: -3.084","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence elee when four letters picked without replacement from {l: 3, e: 4, q: 11}?\nAnswer: 1\/1020","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 146 a factor of 853426064?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*b**3 + 33382125*b**2 - 55718396931000*b + 278591150102500.\nAnswer: -5*(b - 3338210)**2*(b - 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -4160 divided by -2\nAnswer: 2080","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express (h + 3 - 3)*(-4*h + 4*h + 6*h) + (-5*h + 2*h - 2*h)*(3*h - 3*h - 2*h) in the form w*h**2 + r*h + m and give w.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2541 - -2541.3. Put -1\/33, d, -6\/19 in descending order.\nAnswer: d, -1\/33, -6\/19","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z\/(z\/z**(-1)*z))**(3\/10))**(-1\/23) assuming z is positive.\nAnswer: z**(3\/115)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 19\/3260 and 43\/112.\nAnswer: 91280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -c**3 + 77*c**2 - 777*c - 197. Calculate u(65).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 439 - -20. What is the third derivative of -23*l**2 + 33*l**5 + 459 - v - 11*l**2 wrt l?\nAnswer: 1980*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-238*v - 176*v + 489*v)*(1 - v**2 - 1).\nAnswer: -75*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**9)**(2\/57)*(r\/(r\/(r\/(r**(-2)*r))))\/(r**(-4)*r) assuming r is positive.\nAnswer: r**(101\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert -31 (base 13) to base 7.\nAnswer: -55","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1470505475?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*p - 371 + 386 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -89.8 + 82. Let j = 7.98 + 0.02. Let r = h + j. What is the third biggest value in -0.5, r, -0.4?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (51*g**3 + 82*g**3 + 178*g**3)*(-5 + 5 - g**2).\nAnswer: -311*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-304*l - 699*l - 1527*l)*(-5*l**3 + 5*l**3 + l**4).\nAnswer: -2530*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 4 + t**2)*(2*t - 3*t - t) - 5*t**3 + 6*t - 6*t - 3*t**3 + 4*t**3 - 2*t**3.\nAnswer: -8*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) be the third derivative of j**4\/24 + 5*j**3\/3 + 2*j**2. What is the units digit of c(8)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = 6 + 4*b + 0 + b + b**2. Let a be v(-6). Let t(o) = o**3 - o**2 - 7*o + 7. Let r be t(5). Calculate the greatest common factor of r and a.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) be the second derivative of 0*t**3 + 0 + 19*t - 1\/14*t**8 + 0*t**2 + 0*t**7 - 1\/3*t**4 + 0*t**5 + 0*t**6. Find the third derivative of k(n) wrt n.\nAnswer: -480*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 96 (base 16) in base 4?\nAnswer: 2112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:29 PM and 1:51 AM?\nAnswer: 202","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3.236 + 3. Let d = w + 10.536. Let t = 10.214 - d. What is t rounded to two decimal places?\nAnswer: -0.09","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*d - 125 - 2176 = 0. Let x = -173 + d. Calculate the least common multiple of 50 and x.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lfouffw. What is prob of sequence uw?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = 82*j + 1. Let q(a) = 29*a + 1. Give -6*k(c) + 17*q(c).\nAnswer: c + 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-744)\/(-620))\/((-2)\/(-15)*-1)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 35019415 to the nearest integer?\nAnswer: 5918","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ssss when four letters picked without replacement from {s: 9}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -670*f**2*s**4 - 4*f**2*s + 4568*f**2 - 2*s**3 + 121*s**2 wrt s.\nAnswer: -8040*f**2*s**2 - 12*s + 242","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -101 = -5*j + 39. Let k be (-63)\/j*2\/12. What is the third biggest value in k, 5, 3\/2?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in eighteen fifths of a decade?\nAnswer: 36","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -213\/8 at least 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in nine tenths of a milligram?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10011010011110001100 - 100010?\nAnswer: 10011010011101101010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 23\/3 of a year in months?\nAnswer: 92","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 s and 1 d when four letters picked without replacement from sssdddssdddssddsddds?\nAnswer: 308\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*r + 2*r - r)*(2*r**4 - r**4 - 3*r**4) + 13*r**5 - 13*r**5 + 5*r**5 + 2*r**4.\nAnswer: -3*r**5 + 2*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (45\/(-25))\/((99\/75)\/11).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 22 - 15 + 4*u + 2.\nAnswer: 4*u + 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from pjcjjjpjcpjp. What is prob of sequence jjcc?\nAnswer: 1\/198","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 23 + -8. What is the tens digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2884, 5823, 8760, 11695, 14628, 17559, 20488?\nAnswer: 23415","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -q**3 + 24*q**2 - 142*q + 50. Let v be f(10). Solve 4 = 2*i, -i - 4*i + v = 5*u for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 1264306526?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1406.00933 - 1406. Round a to four decimal places.\nAnswer: 0.0093","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 213474 is divided by 71144.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n - 2 = -10. Calculate the smallest common multiple of n and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pt when two letters picked without replacement from ptt?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 5911 + -464. Is c a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 19.325496 + -3502380.\nAnswer: -3502360.674504","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 26371 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 198523830649 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express (5*k - k + 5 - 7)*(330 + 325 + 2367*k**3 + 330 - 985) as w*k**2 + y*k**4 + j*k**3 + f + c*k and give j.\nAnswer: -4734","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-4)\/2 + (-16)\/(-8). Let p be -1 - 1 - 3\/(-1). Calculate the remainder when 23 is divided by 2 + (r - p*-11).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.41 - 2.41. What is the smallest value in -5, s, 2\/3?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.1 (b) 0.1 (c) 0.0701 (d) -13\/686\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = 2*f**3 + 3*f**2 - f - 7. Let o(k) = 2*k**3 + 3*k**2 - k - 6. Let r(v) = 4*i(v) - 5*o(v). Let t(j) = j + 1. Let h be t(-3). Give r(h).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z - 7*z = -k + 122, -4*z - 86 = 5*k. Let i be z\/(-9)*((-9)\/(-2) - 3). Suppose r - 11 = -2*x, 2*x + 0*x = 5*r + 41. Solve -i*m = -0*m + x for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4725.13335 rounded to the nearest 1000?\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 13) in base 16?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 2843, 5688, 8533, 11378?\n\"Answer: 2845*p - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 47, 96, 141, 182, 219?\nAnswer: 252","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = 4*q + 2. Let m(h) = -7*h - 171. Determine m(z) + 2*r(z).\nAnswer: z - 167","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = v + 62. Is r(-12) a multiple of 39?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -52203 > -3810923\/73?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 33880 divided by -8\nAnswer: -4235","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 239357252 to the nearest integer?\nAnswer: 621","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 696040305 to the power of 1\/8, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 63b - -1?\nAnswer: 63c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3434)\/(-404)*36\/(-51).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (32\/312)\/(6\/(-9)).\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2228, 4226, 7602, 12356, 18488?\nAnswer: 25998","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 30514240 a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 43*v = 49*v - 810. Calculate the highest common divisor of v and 180.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u = 3*y - 7, 2*u - 5 = -y + u. Suppose -2*m + y*m = 8013. Suppose 7*b - m + 1580 = 0. Is b composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 75189 - 75195. Let k = -0.5 + 1. Which is the third smallest value? (a) 0.3 (b) 0.4 (c) i (d) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r + 5*u + 221 + 134 = 0, 3*u + 12 = 0. Let y = 118 + r. What is the remainder when y is divided by 26?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 166 + -251. Which is the second biggest value? (a) m (b) 1 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z - 1047 = -2*z. Let v = z - 108. Let t = 3613\/15 - v. Which is bigger: t or -2\/5?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 79522 is divided by 7011.\nAnswer: 2401","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-seven halves of a litre in millilitres?\nAnswer: 13500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*o + 6 = 4*o - 4*n, -2*o - 763*n = -764*n for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 40\/(-6)*(-72252)\/(-10035)\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6880700 is divided by 25?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = 15*n + 4. Let k be m(-2). Let f(o) = -o**3 - 23*o**2 + 43*o - 23. Is f(k) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**(1\/9)*i**(-12))**(-3\/7))**(13\/6) assuming i is positive.\nAnswer: i**(1391\/126)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 17704 + -17662.116. Round t to 0 decimal places.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -102747 + 0.02792393.\nAnswer: -102746.97207607","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -6*h**4 + 81*h**3 - 24*h**3 - 5*h**4 + 8*h - 1 - 28*h**3 - 30*h**3 wrt h?\nAnswer: -132*h**2 - 6*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = b - 1. Let d = -13 - -14. Let w(l) = -2*l + 3. Let r(s) = d*w(s) + 3*m(s). Let k(o) = -2*o. Calculate r(k(g)).\nAnswer: -2*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3213*d**2*l**3 + 3*d**2*l**2 + 6*d**2 - 10*d*l**3 + 16658*d wrt d?\nAnswer: 6426*l**3 + 6*l**2 + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -184800*o**5 + 2*o**3 + 169734*o wrt o.\nAnswer: -3696000*o**3 + 12*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 474553 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x - 26 = 5*j, 0 = j - 2*j + x - 10. Let s be (1 + j)\/(19\/57). Let o = -8 - s. Is o even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2\/(-1) + (-26)\/(-10). Let t be (-1)\/9*(0 - (-18)\/(-15)). Which is the smallest value? (a) t (b) 3\/2 (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 127\/32220 and -11\/28640.\nAnswer: 257760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-7)\/f)**(-2\/15) assuming f is positive.\nAnswer: f**(16\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*u - 21 = u + 5*c, 3*u - 4*c = 8 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g = -0*g. Suppose g = 4*b - 1488 - 1608. Suppose -h - 3*t + 197 = 0, -4*h + 0*h + b = 5*t. Is h a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2\/11 (b) 0.58 (c) 0.3 (d) 107 (e) 7 (f) -3\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -30629, -122380, -275275, -489296, -764425, -1100644?\nAnswer: -1497935","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) 1 (b) 4\/13 (c) 1\/2 (d) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13 + 2 = -d + 5*g, -3*d - 5*g = -35 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 484073*s**4 - 267481?\nAnswer: 1936292*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = 3*g**2 + g + 12. Let r(k) = 4*k**2 + 2*k + 13. Let w(a) = -5*i(a) + 4*r(a). What are the prime factors of w(6)?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1122, -1114, -1092, -1050, -982, -882, -744, -562?\nAnswer: -330","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 787, 616, 445?\n\"Answer: -171*i + 958","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 5\/24, -3606, 0.2?\nAnswer: 5\/24","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 2\/9, -2\/399, 1.6, -4\/3?\nAnswer: -2\/399","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*l**2 - 14*l**2 - 12*l**2.\nAnswer: -20*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 18495 - 12748. Is n a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 100 is divided by 11.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/3, -4, 184\/51, 2, 4, -1, -2 in descending order.\nAnswer: 4, 184\/51, 2, -2\/3, -1, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor -33*p**2 + 2*p**4 + 3 + 6*p**2 + 33*p**3 + 2*p + p - 14*p**4.\nAnswer: -3*(p - 1)**3*(4*p + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7452*w = -6996*w - 8208 for w.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 241 + -237. Solve f*r - 6 = -6 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one fifths of a millennium in centuries?\nAnswer: 42","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 77763802513 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 527.9972 centuries?\nAnswer: 5279.972","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 69*o**2*q**2 - 1963945*o**2*q - 4*o**2 - 1336709*o*q**2 + o*q wrt q.\nAnswer: 138*o**2 - 2673418*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 125 + 3715 = 12*v. What is the highest common divisor of v and 40?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-15 - -18)*(0 + 1). Solve 2*y = 3*n - 13 - 12, 5*y = b*n - 40 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-35)\/(-168))\/((-13)\/52)*(0 - -3).\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d\/(d\/((d**(3\/7)\/d)\/d))*(d\/(d*d**(-4)*d*d*d))\/d*(d\/((d**(2\/11)*d)\/d)*d)\/d**4 assuming d is positive.\nAnswer: d**(-289\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -198, 3, 52\/11, 0.07, 0.1 in increasing order.\nAnswer: -198, 0.07, 0.1, 3, 4, 52\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -2*m - 3. Let p be c(-3). Let q(x) = x**2 - 4*x - 2. Let t be q(5). What is the third derivative of -10*r**3 - 3*r**2 + t*r**5 + 10*r**p wrt r?\nAnswer: 180*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24*x + 7 = -25*x - 4*n, -5*n = 2*x + 11 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1500)\/(-700))\/(6\/(-28)).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = 0*z + 2*z**2 + 0*z. Let i be (1\/4)\/(24\/(-96)). Let p(y) = y. Suppose -3 = -l - 2*l. What is i*p(c) + l*n(c)?\nAnswer: 2*c**2 - c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 31811 divided by 14\nAnswer: 31811\/14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 26909788 to the nearest integer?\nAnswer: 300","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 683 a factor of 3078281?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) be the third derivative of 0 - 1\/24*l**4 - 1\/6*l**3 + 0*l - 4*l**2 - 1\/60*l**5. Let t(p) = 5*p**2 + 3*p + 3. Let q = -2 + 5. What is q*i(o) + t(o)?\nAnswer: 2*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = 69*h**2 + 4*h + 1. Does 10 divide n(1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 3, p: 5, g: 4}. What is prob of sequence pfg?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*x**2 + 1\/2*x**4 + 3\/2 + x - x**3 = 0.\nAnswer: -1, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 532 = 9*g - 5*g. What is the hundreds digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -13*l + 2. Determine p(-3).\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -4 - 6*t**3 + 5*t**3 + 0 + 0*t**2 + 3*t**2. Give x(3).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - 35 = -4*j, 2*j = o + 39 - 14. Suppose 4*b = 3*d + 1 + 4, 3*b = -2*d + 25. Suppose d*y - 54 = -4*h, -35 = -4*y - 3*h + 8. Are j and y equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gggmgm. Give prob of sequence gm.\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (4 - (-1200)\/(-18))\/((-1)\/6). Let w = -342 + x. Does 34 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o\/(o*o**(1\/3)*o)*(((((o*o\/o**0)\/o)\/o)\/o*o)\/o*o)\/o*o**(-2)\/(o**1\/o)*(o**4*o\/(o\/o**5))\/(o**(-1)*o**(-3\/7)) assuming o is positive.\nAnswer: o**(128\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 19353798 divided by -6451266.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-5)*(o**(1\/16)\/o*o)\/o)\/((o**7\/o)\/o**(2\/3)) assuming o is positive.\nAnswer: o**(-541\/48)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-44)\/(-12) - 4\/6. Let a be f\/12*3382\/241. Let u = 2\/241 - a. Which is smaller: -3 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = q**3 + 6*q + 471. List the prime factors of w(0).\nAnswer: 3, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 534 + -541. Let g(p) = p**3 + 16*p**2 - 2*p - 9. What is the tens digit of g(w)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -29658 divided by 6.\nAnswer: -4943","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) be the third derivative of 2*x**5\/5 - x**3\/6 - x**2 - 39*x. Let i(a) = -a. Determine i(q(c)).\nAnswer: -24*c**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -75, -110, -129, -126, -95, -30, 75?\n\"Answer: k**3 + 2*k**2 - 48*k - 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 + 1 + 1)*(118*q + 121*q - 162*q)*(q + 3 - 3) + (1 + q**2 + 4*q - 1)*(-2 - 2 + 1) in the form d*q**2 + v + p*q and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (-8)\/(-2)*(39\/6)\/(-13)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 17\/2*d + 1\/4*d**2 + 289\/4.\nAnswer: (d + 17)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -5 + 5.1. Let n = -0.11 - -4.11. Let r = -0.07 - -0.17. Which is the closest to r? (a) n (b) m (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 255 or 2\/7?\nAnswer: 255","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 1156408733 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -5 + (1 - -1) + 20. Suppose -3*z + j = -4. Let a = -5 - -17. Calculate the remainder when a is divided by z.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 40181?\nAnswer: 23, 1747","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -4.287 to 1 dp.\nAnswer: -4.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2*h*r**2 + 2*h + 56*r**2 + 31*r - 2256 wrt r?\nAnswer: 4*h*r + 112*r + 31","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*f - 1 = 5*f for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.31543352595022 and -3.\nAnswer: -2.68456647404978","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*f*f*f\/(f**(-3\/2)*f)*f*(f\/(f\/(f*f**(-2)*f))*f)\/f)**(1\/9)\/((f**(1\/3)*f)\/f*(f*f**(-3\/2)\/f)\/f)**(6\/5) assuming f is positive.\nAnswer: f**(289\/90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -41*q - 21605*q**2 - 21619*q**2 + 43224*q**2 + 74*q - 33*q - 2*q**3.\nAnswer: -2*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -a + 9. Let b be y(7). Solve -2*c - b*c = 8 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 3 b when four letters picked without replacement from {u: 3, b: 9, z: 5, i: 3}.\nAnswer: 28\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5 - 1) + (-164 - -96 - -69)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -9*y**2 - 86*y - 109. Calculate g(-8).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k = 2*k - 12. Let p = 6 - k. Let q be (2 - 8\/9)*18\/30. Is p bigger than q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 34 = 1775*a - 1773*a - 4*m, -8*m = 4*a + 12 for a.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -3 + 4113?\nAnswer: 4110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/2, 0.4, 1.23, -2787 in ascending order.\nAnswer: -2787, -3\/2, 0.4, 1.23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 419601\/215 + 2269\/43. Let t = s + -120859\/60. Find the common denominator of (-1671)\/(-108) + 6\/(-27) and t.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 13375*r*z + 15935*z wrt r.\nAnswer: 13375*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 0.1620886 decades?\nAnswer: 0.001620886","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -1.4, -2.4, 1 in decreasing order.\nAnswer: 1, -1.4, -2.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = 2*x + 2. Let y be (4 + -5)*(-5)\/(-1). Let i(w) = -2*w - 2. Let h(d) = 3*d + 6. Let g be h(-4). Determine g*n(l) + y*i(l).\nAnswer: -2*l - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -8*(-1)\/(-4)*-2. Suppose 3*s = -4*c - 4, -c + 3 = -i*s - 4*c. What are the prime factors of (0 - 4)*(-1 - s)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -2 and -0.037.\nAnswer: 0.074","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 1818 + 10?\nAnswer: 1828","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 3352 less than 0.5?\nAnswer: -3351.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = 132*m**2 + 19*m - 24618. Let j(c) = 14*c**2 + 2*c - 2735. What is 2*g(q) - 19*j(q)?\nAnswer: -2*q**2 + 2729","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -193 + 133. Suppose 2*a = -12 + 180. Let r = a + x. What is the remainder when r is divided by 13?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = n, -n = 4*i - 833 + 9. Calculate the highest common factor of 82 and i.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-32)\/12 - -2 - 28\/(-6). Solve -w*q - 8 = 4 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 54743.5 - 0.8536611\nAnswer: 54742.6463389","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 32*v - 21*v + 8*v.\nAnswer: 19*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/5 + 1820\/1550)*((-3861)\/52 + 74)?\nAnswer: -6\/31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(5*((sqrt(108) + 5 + sqrt(108))**2 + 3) + (sqrt(75)*-1*4 - ((sqrt(75)*-3 + sqrt(75))*-1 + sqrt(75) + sqrt(75)))).\nAnswer: -2300 - 560*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -18662\/40519 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:37 AM and 4:16 PM?\nAnswer: 399","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 242?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*f + 4*f - 20. Suppose 0 = 4*y - f*y. Let h be (-147)\/((-6)\/2) + y. Calculate the highest common factor of h and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b\/((b*b*b**2)\/b*b*b*b*b))\/(b\/(b\/(b\/(b*b**2)))))\/(b**(2\/11))**(-33\/7) assuming b is positive.\nAnswer: b**(-22\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mt when two letters picked without replacement from {m: 6, t: 6}.\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 15 - 13. Suppose 0 = 5*w + 4*a - 35, -m*w + 15 = 2*a - 1. Suppose 0 = -5*g + 2*t - w, 4 = t - 0. Solve n - 1 - g = 0 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 7 in -173, -0.2, -4, 12\/17?\nAnswer: 12\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 1 + 5415?\nAnswer: 5416","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express (79*b + 24*b + 83*b + 9 - 85*b)*(4 + 0 - 3) as z*b + s and give z.\nAnswer: 101","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 925847.\nAnswer: 13, 229, 311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h - 48 = 3*h. Let g(u) = -u**2 - 11*u + 14. Let z be g(h). Factor -4*q**z + q + 1\/2.\nAnswer: -(2*q - 1)*(4*q + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 0\/((-4)\/(-3 - -1)) + 3. Let d be ((-5)\/5)\/(x\/966). Let j = d + 771. Is j prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -64 + 75. Is 4 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 392 + -390. Let q(s) be the third derivative of -1\/12*s**6 + 0*s + 9*s**r + 0*s**4 + 0 - 7\/60*s**5 + 0*s**3. What is the third derivative of q(x) wrt x?\nAnswer: -60","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 - (5 - 1) - (1 + -6).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 147357?\nAnswer: 3, 7, 2339","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 225 + -60. Let g = i + -262. Let o = g - -217. Calculate the remainder when o is divided by 62.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -43*p + 1435639 - 1435639 + 5*p**3 to the form d*p**2 + s*p**3 + h*p + r and give r.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: ((-1343)\/34)\/((-533)\/1066)\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express 6*s - 151 + 151 + ((-4 + 0 + 3)*(1 + 4 - 1) + 1 - 2 + 2)*(-2*s + 1 - 1) as b + w*s and give w.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -3*s + 2*u, -4*s + 6 = -2*u - 4. Suppose s = m + 5. What are the prime factors of (-1 - m) + 0 + 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 3\/(-5) - (-3)\/10*-18. Let l be (2 - (-7)\/2)\/((-3)\/g). Suppose -t + v + 21 = 0, -6*t + 5*t - v + l = 0. What are the prime factors of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*h**4 + 680*h**3 + 24748*h**2 + 24072*h.\nAnswer: 4*h*(h + 1)*(h + 51)*(h + 118)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 4, m: 4, g: 2}. Give prob of sequence lll.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**(2\/11)\/(m**(-25)\/m))**(1\/5))**(-3) assuming m is positive.\nAnswer: m**(-864\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2.07 + 0.03. Let k = -2 - -2.1. Let w = z - k. Which is the third biggest value? (a) -3\/8 (b) w (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 795 and 74995.\nAnswer: 265","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) be the first derivative of -l**4\/2 - 5*l - 3404. Let q(j) = 21*j**3 + 49. What is 49*i(a) + 5*q(a)?\nAnswer: 7*a**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -l**2 - l - 5. Calculate u(9).\nAnswer: -95","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from njnnnownnwon. Give prob of picking 1 n, 2 o, and 1 w.\nAnswer: 14\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 4*t - y = -423, -y = -3*t - 636. Let c = 340 + t. Is c a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) be the first derivative of 2126*x**3\/3 - 2*x**2 + 5*x + 14. Is h(2) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*c + 2*c - 3*c)*(0 + 3 + 0) - c + 2*c - 2*c + (4*c - 8*c - 5*c)*(-13 + 18 + 12) + 0 - c + 0.\nAnswer: -158*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -2810, -2809, -2808, -2807, -2806, -2805?\n\"Answer: i - 2811","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-15 + 15 - 2*p**2)*(8*p - 5 + 99*p**2 - 7*p + 6).\nAnswer: -198*p**4 - 2*p**3 - 2*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor 28*u**3\/3 + 12*u**2 + 8*u\/3.\nAnswer: 4*u*(u + 1)*(7*u + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 59804 = 2*g - 5*j, -2*g - 2*j - 12999 = -72845. Is 19 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5639 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b + 3*b = -4. Let l = 0.07 - 3.07. Sort l, b, -5 in increasing order.\nAnswer: -5, l, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2 or 46374864?\nAnswer: 46374864","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -439, -416, -371, -304?\n\"Answer: 11*g**2 - 10*g - 440","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 310 - 173. Suppose -j = -2*p - d, -p + 3*d = p - 149. What is the remainder when p is divided by 24?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -16, -80, -190, -352, -572, -856?\nAnswer: -1210","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1)\/((-1)\/(-3))*1)\/1?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 82*d - 80*d + 4*n - 16 = 0, d = 3*n - 2 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = 17*a + 2. Let b(j) = -16*j - 2. What is 4*b(p) + 5*r(p)?\nAnswer: 21*p + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.4, -6, -194, 5 in descending order.\nAnswer: 5, -0.4, -6, -194","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 2, m: 2, h: 1, e: 3, p: 3, q: 7}. What is prob of sequence eqa?\nAnswer: 7\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*a**2\/7 - 3*a\/7 = 0. Calculate a.\nAnswer: 0, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l - 5*i - 14 = 0, 3 = 3*l + 2*l + 3*i. Suppose -3*g = -a - 661, 8*g - l*g - a = 1103. Is 13 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/5 > -4\/11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -s**2 + 30*s + 27. Suppose -15*o = -14*o - 5*u - 56, 3*o - 73 = -4*u. Let b be c(o). Is 6 <= b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -2*p**2 - 18*p + 13. Let x be l(-10). Let v(n) be the second derivative of 5*n**4\/12 + n**3\/6 + 11*n**2\/2 + n. Is v(x) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 15\/(-7) + (-205)\/35 + 6. Is 29 a factor of (2 - 4) + y - -178?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m and 1 o when two letters picked without replacement from jmkmowwk?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = 10*l**2 + 4. Let m(k) = 3*k**2 + 1. Let b(n) = -8*m(n) + 3*v(n). Let q(o) be the first derivative of b(o). Let s(h) = -2*h**2. Determine q(s(j)).\nAnswer: -24*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express 7*y**2 - 4*y + 4559 - 4559 in the form h*y**2 + r*y + d and give r.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1*(-1)\/1 + 3. Let i(a) = 13486*a**2 - 13491*a**2 + a + 2*a**3 + 3*a. Let k be i(q). Solve -k*m + 5*m = 4*u - 20, -2*m - 5*u = -25 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 538199 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -5841*g. Let y(l) = -34*l**2 - 3*l. Calculate y(s(t)).\nAnswer: -1159987554*t**2 + 17523*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0182994 times 0.1?\nAnswer: -0.00182994","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -3643302.59 rounded to the nearest one million?\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 339 to the power of 1\/3, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 - 76*w - 108*w - 2 + 2*w**2 + 5 to m + a*w + j*w**2 and give a.\nAnswer: -184","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x = -8*z + 7*z - 92, -5*x + 156 = -2*z. Let h be z\/(-33) - (4\/6)\/(-2). Solve -m + 13 + h = 3*c, 2*c + m = 11 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = 206*g**3 - 3*g**2 + 3*g - 2. List the prime factors of d(1).\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 255 and 120.\nAnswer: 2040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1462 + -1456. Solve 14 = 20*j - v for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: 30857 * -1986\nAnswer: -61282002","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -15 + 21. Solve 0 = -4*a + 2*y - 22, -3*y = -21 + l for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -238 divided by -2374\nAnswer: 119\/1187","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -80 - -66. Suppose -11 = 2*l + 1. Let o be (5 + l)\/((-1)\/(-5)). Put o, z, 4 in descending order.\nAnswer: 4, o, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1008))**2*3.\nAnswer: 3024","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l = -0*l + 5. Let o(a) = 4*a**3 + a. Calculate o(l).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -85 - 64 + 221 - 72 - 70*m.\nAnswer: -70*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Determine s so that -5084 - 6960*s - 17*s**3 - 4516 + 2*s**3 - 624*s**2 = 0.\nAnswer: -20, -8\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -115\/148 + 1\/37. Let p = -7.3872 - -0.1572. Let v = -0.23 - p. Is h > v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = 15*a**5 + 2*a**4 - 15*a**3 - 404*a + 2. Let n(v) = -v**4. Let w(k) = -c(k) - 2*n(k). Find the second derivative of w(q) wrt q.\nAnswer: -300*q**3 + 90*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) be the second derivative of s**3\/6 + 9*s**2\/2 + s. Suppose -5*k - 3 = 32. Let x be a(k). Let v(l) = -l**3 + 3*l**2 - 2. Calculate v(x).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 2, q: 5}. Give prob of sequence bqqq.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from oqqooqoqoo. What is prob of sequence qoq?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 18360 - -1?\nAnswer: 18361","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25*w - 262 + 129 = 367 for w.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*u**2\/8 - 7502169*u\/2 + 18760846568187\/2.\nAnswer: 3*(u - 5001446)**2\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i - 62 = 4*s, -i - 2*i = -5*s - 32. Solve 0 = -m + 19 - i for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = x**3 + 2*x**2 - x - 1. Let j be h(-2). Let k be ((4 - 2) + -3)*j. Let d = 1.1 + -0.8. Which is the biggest value? (a) -3 (b) k (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/11 in -2.6, -0.3, -10, -0.429, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -39 + 17 - 9*d + 22.\nAnswer: -9*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 3800 a multiple of 95?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.55 - 0.15. Let u = -0.33 - -0.2. Let w = u + 5.13. Which is the smallest value? (a) -0.4 (b) h (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = y**3 + 2*y**2 - 5*y - 8. Let a be g(-4). Let p = 24 - a. Is p a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 859744311?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let -98*q**5 - 2282*q**4 + 1766*q**3 + 1994*q**2 - 1668*q + 288 = 0. What is q?\nAnswer: -24, -1, 2\/7, 3\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = r**2 + 73*r + 213. What is z(-70)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -30 (base 4) to base 14.\nAnswer: -c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 106554 divided by 2.\nAnswer: 53277","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1828 + 4496. What is the thousands digit of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 34\/153 + (-1798)\/(-9). Suppose 26*p = 24*p + r. What are the prime factors of p?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 46 - ((-38)\/(-8) - (-6)\/(-8)). What is the greatest common factor of g and 36?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 591 minutes after 1:17 PM?\nAnswer: 11:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 4\/35 and -26\/15?\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 120 - -112202224?\nAnswer: 112202344","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor 9067*h**3 - 36249*h**2\/2 - 19*h.\nAnswer: h*(h - 2)*(18134*h + 19)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y\/(y*y*y**(-2)))\/(y\/y**6))**(-2\/23)\/((y**(-1))**19)**(2\/147) assuming y is positive.\nAnswer: y**(-890\/3381)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 8251 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 10 and 4934491012?\nAnswer: 24672455060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 424975 to the power of 1\/4, to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 373559 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 + 16*t + 2 + 0.\nAnswer: 16*t + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 3*34\/24 + 0. Let m = -93\/20 + i. Which is smaller: -3 or m?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1\/8, -1\/5, 2975209.19, -1\/4, -1?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*t**4\/7 - 4*t**2\/7 + 2\/7 = 0. Calculate t.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = 4*v**2 - 7*v + 1. Let s be i(3). What is the third derivative of -8*y - 3*y**2 - 16*y**3 - 8*y + s*y wrt y?\nAnswer: -96","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 88, 5, 4316, 10 in decreasing order.\nAnswer: 4316, 88, 10, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor -q**3 - 24103676*q**2 - 145246823281917*q - 290493550149138.\nAnswer: -(q + 2)*(q + 12051837)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a**(-6)\/a**4*(a\/(a\/a**(-2\/3))*a*a)\/a**(-3) assuming a is positive.\nAnswer: a**(-17\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q*(q\/((q**(-7)\/q*q)\/q)*q)\/q*q**1\/q*q*q*q**8*q*(q**(2\/5)*q)\/q assuming q is positive.\nAnswer: q**(107\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8339 is divided by 1055?\nAnswer: 954","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4440089323.\nAnswer: 4440089323","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -54723*b**4 + b**3 + b**2 - 1655481?\nAnswer: -218892*b**3 + 3*b**2 + 2*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -12 times 489.08\nAnswer: -5868.96","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 57735412 and 258.\nAnswer: 173206236","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -i**2 + 5*i - 4. Suppose 0 = 4*d - 4 - 8. Let m be y(d). Suppose m*s = -3*s + 15. What are the prime factors of s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(sqrt(8)\/sqrt(4) + -1) + (sqrt(6)\/sqrt(3) - sqrt(2))*-4*3.\nAnswer: -2*sqrt(2) + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w + 8 - 15 = a, 2 = 2*a + 2*w. Let x(v) = -v**3 - 3*v**2 - 3*v - 6. What is x(a)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) be the second derivative of -b**5\/20 - b**4\/12 + b**3\/3 + b**2 - b. Let a = 2 + -4. What is the least common multiple of 8 and x(a)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 o and 1 t when three letters picked without replacement from {t: 8, o: 3}?\nAnswer: 8\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3291*b**3 + 3324*b**3 - 6614*b**3.\nAnswer: b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is -11882 < 0.22017?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 17337, 17344, 17365, 17406, 17473, 17572?\nAnswer: 17709","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 97900591 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a = -3*o + 13, 2*o = -2*a - 2*o + 24. Calculate the greatest common divisor of a and 12.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1 - 13. Let b be (-2)\/(-6) + (-380)\/k. Let m = 10 + -2. Calculate the highest common divisor of b and m.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15273?\nAnswer: 3, 1697","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0 + -6. Suppose -3*q = -0*q - 6. Let p(r) = 6*r**q - 8 + 2*r + r**3 - 7*r + 2*r + r. Give p(d).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -r**2 + 12*r + 6. Let c be d(12). Let m = 157 - 268. Let y = -57 - m. What is the highest common factor of c and y?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 572198635?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 75585 (base 9) to base 14.\nAnswer: 14354","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*l**4 + 5*l**3 + 6*l**3 - 5*l**3 - 2*l**4 - 22 - l**2 in the form k*l**2 + t*l + h*l**3 + y*l**4 + r and give r.\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = 2*h + 39. Let k be c(-6). Solve 4*m - 3*d - k = 0, d - 3*d - 22 = -4*m for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.32 + -10.32. Let h = t - -9. Sort 3, h, 0.5 in increasing order.\nAnswer: h, 0.5, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 827791 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:32 PM and 3:11 AM?\nAnswer: 699","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*x**2\/5 + 324*x\/5 + 64 = 0 for x.\nAnswer: -80, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 260413*p**2 - 260395*p**2 + 3 + 2.\nAnswer: 18*p**2 + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is -790 less than -784?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 222, 453, 682, 909, 1134, 1357?\nAnswer: 1578","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2713 - 2433 = 38*z + 2*z for z.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -2*o + 10. Let u(p) = -2*p + 43. Let q be u(14). Suppose q + 6 = 3*x. What is the remainder when t(-7) is divided by x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 136\/(-36) - -4 - (-48)\/27. Which is the closest to -1\/3? (a) p (b) 1 (c) -5 (d) -55\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y + 2*y - 2*m + 8 = 0, 0 = 3*m - 12. Let n(z) be the first derivative of 1\/12*z**3 - 1\/4*z**2 - 9 + y*z. Let n(c) = 0. What is c?\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1262 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1205534 (base 6) to base 13.\nAnswer: 22b8b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -25*y + 1. Let a(v) = -36*v**2 - 15*v - 7. Give j(a(c)).\nAnswer: 900*c**2 + 375*c + 176","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -f**3 + 187*f**2 + 17945*f + 357309 = 0.\nAnswer: -37, 261","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 85\/6*-2*-3 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2613*m - 1 - 1483*m + 214*m**2 - 1130*m + 1.\nAnswer: 214*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in twenty-six fifths of a litre?\nAnswer: 5200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = 16*y**3 + 2*y**2 - y - 3. Let v be (67 + -63)*1\/(-2)*-1. List the prime factors of a(v).\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 76*r - 20*r - 25*r - 25*r - 18*r.\nAnswer: -12*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 (base 2) in base 7?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5405*z + 3397*z - 1804*z - 772500 = -502*z for z.\nAnswer: 103","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 410 minutes after 9:01 PM?\nAnswer: 3:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.004286815058 rounded to seven dps?\nAnswer: -0.0042868","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) be the second derivative of -37*j**4\/12 - 18*j. Let k(p) = 2*p**2. What is k(g(q))?\nAnswer: 2738*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.04, 648, -0.2, 3 in descending order.\nAnswer: 648, 3, 0.04, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 163\/25350 and 101\/223080.\nAnswer: 1115400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (4\/(-4))\/(10\/(-20)). Solve -c + f = 2*d, -5*c + 10 = 2*d - d for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 389510000 to the nearest one million.\nAnswer: 390000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -584 - -1031. Is h prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -6476\/49323 or 0?\nAnswer: -6476\/49323","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6521948?\nAnswer: 2, 17, 95911","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -15*f - 16. Let u be y(-15). Suppose 5*o = 261 + u. Is o composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 93737 and 1715?\nAnswer: 3280795","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 504 and 8?\nAnswer: 504","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = 2*j + 3. Suppose -3*i - 4 = m, 2*m - i = -2*m - 16. What is the remainder when g(7) is divided by 6*6\/m*-1?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (206*g**2 + 483*g**2 + 217*g**2 - 151*g**2)*(4 + 2 - 4).\nAnswer: 1510*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -778, -2084, -4230, -7636, -12722?\nAnswer: -19908","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 91.72 and -158.\nAnswer: -14491.76","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -41*a**2 + 17*a**2 + 7 + 10*a**2 + 11*a**2 + 2*a - a**3 to the form u*a**3 + q + i*a**2 + g*a and give i.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -5, -2, -0.25, 13?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 7969942 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 g and 1 a when three letters picked without replacement from aaaaaaaaggaagaa?\nAnswer: 36\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 284, 286, 298, 326, 376, 454, 566?\nAnswer: 718","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 290863 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1.190598 hours to milliseconds.\nAnswer: 4286152.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) be the second derivative of h**5\/4 - h**4\/6 + 13*h**3\/6 - 21*h**2\/2 + 2*h + 1. Is a(4) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = w + 2*w. Suppose -3*h = -t - 7, 14 = h - w*h - 4*t. Calculate the greatest common factor of 2 and h.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = i**2 - 3. Let j = 9066 - 9057. Let m(a) = 4*a**2 - a - 13. Determine j*z(v) - 2*m(v).\nAnswer: v**2 + 2*v - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = 3*g**3 + 2*g**2 + 1. Let p(w) = -w**3 + w + 1. What is p(l) - t(l)?\nAnswer: -4*l**3 - 2*l**2 + l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 2805, 5617, 8429, 11241, 14053, 16865?\n\"Answer: 2812*x - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is (87798\/(6 - 0))\/1 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find z such that 2*z**4\/5 - 26*z**3 - 4522*z**2\/5 - 4182*z + 32760 = 0.\nAnswer: -15, 4, 91","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is sixty-four fifths of a century in months?\nAnswer: 15360","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 648?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*p - 3*h + 45 = 0, -37*p + 39*p - 4*h = 30 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + 37 + 882 + -920.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -47\/54 and -1\/450?\nAnswer: 1350","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1 (b) 18 (c) -3 (d) 32\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve q + 18 = -3*q + 5*n, -4*n = 4*q for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = r**3 + 2*r**2 + 6*r - 1. Let z(c) = c**2 + c - 1. Determine -b(d) + 3*z(d).\nAnswer: -d**3 + d**2 - 3*d - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -1993, -1984, -1977, -1972, -1969, -1968?\n\"Answer: -u**2 + 12*u - 2004","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -3*c**2 - 17*c - 39. Let k(w) = -2*w**2 - 9*w - 20. Let z(s) = 3*h(s) - 5*k(s). Let u be z(8). Does u = -1\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qolq. Give prob of sequence lq.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 181 - 176. Is 8 at most f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 123 minutes before 11:59 PM?\nAnswer: 9:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1823135, -1823069, -1823003?\nAnswer: -1822937","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w + 2*w = 44. What are the prime factors of w?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 541*b - 1192*b - 160776 = 1790*b - 353*b for b.\nAnswer: -77","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 22857 is divided by 5681?\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2.89999998 - 2.9. What is s rounded to 7 decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -5 + 21. Let a be (n\/3)\/(26\/39). Solve 20 = -5*b + a*p - 3*p, 2*b + 4*p = 4 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) be the third derivative of 31*k**7\/2520 + k**6\/360 - k**5\/120 + k**4\/12 + 3*k**2. Let b(c) be the second derivative of y(c). Is b(2) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1\/31242 + 827963\/1562100. Calculate the common denominator of 44\/9 and m.\nAnswer: 900","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1569\/10 = 156?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 divided by 253?\nAnswer: 5\/253","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express -144*i + 29*i + 38*i + i - 5 as v + f*i and give f.\nAnswer: -76","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 15751?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-5 + l + 5)*(3 + 2 - 6) - 3 + 3 - l)*(2*l + 5*l - 11*l).\nAnswer: 8*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 145138351 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -1 + ((-2)\/(-81))\/(7\/(-51)). Let z = -1\/27 - q. Which is the third biggest value? (a) 6 (b) 0.1 (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -f**3 + f. Let c = 85 - 63. Suppose 4*j = 22 - c. Determine t(j).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -2548, -9851, -29672, -68269, -131900?\n\"Answer: -1043*h**3 - h**2 + h - 1505","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v = -17 + 2. Suppose 0 = -5*q + 5 + v. Let j be (-14)\/42*(5 + -2). Is j >= q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = i**3 + 17*i**2 - 19*i - 4. Let x be b(-18). Let q = 13 + -12. What is the nearest to q in -2, x, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -24 divided by 24.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of (26 - -1) + 414\/(-69) and 303.\nAnswer: 2121","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = 3*h**2 + 30*h + 3. Let p be b(-10). Suppose -5*o + 982 = 2*f - 905, 1141 = p*o - f. Is o prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 + 4 + 2 - (2 + -2).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4*-1*sqrt(228))\/sqrt(12)*-4)**2.\nAnswer: 4864","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -6*q + 76. Determine d(10).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -x**3 - 10*x**2 - 8*x + 7. Let c be (-3*1)\/(7\/21). Let n be l(c). Which is bigger: -0.1 or n?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -20*3\/(-45) - (-4 - 3\/(-9)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 380 + 400 = 5*k. Let l be (-262)\/(-42)*(-7)\/k. Let m = -3\/52 - l. Which is the second smallest value? (a) 0 (b) m (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = f - 1. Let n(y) = 3*y - 7. Let v(j) = 4*k(j) - n(j). Let p be ((2 + -2)*-1)\/(-1) + -3. Determine v(p).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -124*j - 120*j - 126 = -238*j for j.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:30 PM and 12:49 AM?\nAnswer: 679","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 + 0 = 5*x + 5*n, 2*x + n = 5. Let j(s) = -s. Let a(o) = -9*o + 3. Let i(d) = a(d) - 5*j(d). Let r be i(-3). Solve z + r = x*z for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2616 by -1308.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 3999579?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -35 + 41 - (-79 + -2 - (-41 + 62))\nAnswer: 108","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -8.5 - -7.5. Sort z, 6\/5, -8, 0.\nAnswer: -8, z, 0, 6\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -8 - -12. Find the second derivative of -3*y + 0*y + 0*y**d + 2*y**4 wrt y.\nAnswer: 24*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 878603556?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.86 - 1. Let q = -0.06 + n. Let g = -177\/10 - -88\/5. Which is the closest to 0? (a) q (b) g (c) 2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 13950672?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 20465 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2865041 is divided by 926?\nAnswer: 923","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -4 (b) -4\/3 (c) 1\/2 (d) 5 (e) -5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) be the third derivative of 17\/24*g**4 + 11\/6*g**3 + 0*g + 0 - 55*g**2. Differentiate z(q) with respect to q.\nAnswer: 17","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-106)\/2385)\/((-4)\/18)*11.\nAnswer: 11\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 2\/27 of a week?\nAnswer: 44800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = 3*a**3 - 2*a**2 - 3*a - 1. Let w(r) = -r**3 - r**2 - r - 1. Suppose -4*t - 6 = -2*v - 10, 2 = 2*t + 3*v. Let b(f) = t*q(f) + 4*w(f). Determine b(-4).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 80978.94 nanoseconds to milliseconds.\nAnswer: 0.08097894","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1\/4, 132, -11, 2?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-85)\/(-34))\/((-2)\/(-4)). Suppose v = -5*i + 255. What are the prime factors of i?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = 3*g**2 - 3*g - 6. Let p(x) = -24*x**2 + 24*x + 48. Let h(j) = 33*f(j) + 4*p(j). Let z be h(-7). Let l = z + -107. Is l prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = 6*k**3 - 2*k**2 - 3*k - 3. Let v be t(-2). Let f = 56 + v. Suppose -3*a - 2*j + 343 = 0, -4*j - 424 = -7*a + f*a. Is 37 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4 + sqrt(1377) + 0 - sqrt(1377)*2*3)**2 + 0)*4.\nAnswer: 1440*sqrt(17) + 137764","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = 2*q**3 - 2*q**2 - 2*q - 2. Let d(j) = -j**2. Let n be 138\/33 - 4\/22. Suppose 0 = k - n. Let c(o) = k*d(o) - w(o). Let c(u) = 0. What is u?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = 40*f**2 - 115*f + 323. Determine y(3).\nAnswer: 338","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (25\/10)\/((-7)\/14).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.263992 weeks in hours?\nAnswer: 884.350656","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -19 - (-5 + -6) - -10 - (-41 + (-1 - -3))\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 295462 and 194?\nAnswer: 194","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 100, 202, 300, 394, 484, 570, 652?\nAnswer: 730","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 1952?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 669 minutes before 1:34 AM?\nAnswer: 2:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a - 193 - 3218 = 3354. What is the least common multiple of 50 and a?\nAnswer: 22550","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = 85*y**2 - 1856*y + 5861. Give x(18).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 29\/2 of a millennium?\nAnswer: 1450","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29*q - 4155 = -15378. Calculate the remainder when q is divided by 130.\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = c**5 - c**4 - 2*c**3 - 1. Let q(f) = 8*f**5 + 169*f**4 + 2762*f**3 - 2904*f**2 - 255552*f - 5. Let i(x) = 5*j(x) - q(x). Factor i(u).\nAnswer: -3*u*(u - 8)*(u + 22)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -9011*t + 1928350. What is j(214)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 0.7*0.7\nAnswer: 0.49","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = 2*g - 28. Let x(a) = 8*a + 13*a - 61*a + 13*a + 30*a. Give w(x(v)).\nAnswer: 6*v - 28","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4\/11, -0.3, -2 in descending order.\nAnswer: 4\/11, -0.3, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (104\/(-13))\/((-2)\/(-5)). Let t = -8 - w. Let c(d) = -d**3 + 12*d**2 + 6*d - 7. Is c(t) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*h**4\/3 + 833*h**3\/3 - 50421*h**2 - 15882615*h - 985780971.\nAnswer: (h + 147)**3*(4*h - 931)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5 - 118) + -1 + 13 + (-586 - -561)?\nAnswer: -136","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (11 - -20) + -54 + 48 + -21?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1056 at least 1431?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**(-4)\/p)**(-18)\/(((p\/(p*(p*p**(-1\/38))\/p))\/p)\/p**(2\/39)))**(-13\/3) assuming p is positive.\nAnswer: p**(-134899\/342)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + (-4 - 1) + -12 + 14?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -689*d**3 - 2958*d + 4. Let j(x) = -689*x**3 - 2965*x + 5. Let g(p) = -4*j(p) + 5*w(p). What is the second derivative of g(l) wrt l?\nAnswer: -4134*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((2706\/14883)\/((-4)\/(-66)))\/(4*5)?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 4, g: 2, k: 3, p: 2}. Give prob of sequence kgm.\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 403363 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 5 - 2. Suppose -2*b - 9 = -x + 3, 3*x - 24 = o*b. Suppose x*t = 93 - 21. Calculate the highest common divisor of 6 and t.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (212\/(-5))\/(3*(-10)\/75). Suppose b = -n + 115. What is the remainder when n is divided by 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -18 or 0?\nAnswer: -18","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or -3\/16?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -2.7 * -0.03\nAnswer: 0.081","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put 4\/5, 4, -4\/3, -0.1, 18, 2 in ascending order.\nAnswer: -4\/3, -0.1, 4\/5, 2, 4, 18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) be the first derivative of -3*p**4\/4 + 2*p**3 + 3*p**2\/2 - 3*p - 1. Let x(o) = -3*o**3 + 7*o**2 + 3*o - 3. Let h(j) = -4*c(j) + 3*x(j). Factor h(n).\nAnswer: 3*(n - 1)**2*(n + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 11276 + -11260. Let y = 1.38 - 0.38. What is the second smallest value in y, -1, -2\/11, p?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 757339962 to the nearest integer?\nAnswer: 912","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve i + 192*q + 120 = 189*q, -q - 40 = 5*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 51 (base 12) to base 15.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -1422 (base 15) in base 8?\nAnswer: -10323","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -66*p - 66*p + 198*p + 5 + 6*p**2 + p**3 - 62*p. Let l be n(-4). Calculate the highest common factor of l and 91.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 210*i + 2*w = -1032, 18*i = 9*i + 5*i - 3*w + 7 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 18258000 rounded to the nearest one hundred thousand?\nAnswer: 18300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 655 (base 7) to base 16\nAnswer: 14e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = 514*o - 3081. What is d(6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -481196064 divided by -653799\nAnswer: 736","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-9)\/3*1)\/((7007\/(-735))\/143).\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 22\/6147981 and 35\/297.\nAnswer: 67627791","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1241372 + 413701 + 6*q**2 + 413977 + 413694.\nAnswer: 6*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = n**2 - 15*n - 16. Determine v(16).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 0 + 1 + (-4 - (2 + 0))\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 34 + -11 + -51 - (-3 + -21) - 1.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 142 is divided by 53?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12\/5*v**4 + 0*v - 16\/5 + 4\/5*v**3 - 4\/5*v**5 + 28\/5*v**2 = 0 for v.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 88 minutes after 12:44 AM?\nAnswer: 2:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.08, -9, 3, -6\/11, -2 in descending order.\nAnswer: 3, -0.08, -6\/11, -2, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 22856 is divided by 4571?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Add together 1201.709 and 0.1207.\nAnswer: 1201.8297","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 7*b**2*u + 632*b**2 - 45*u wrt u.\nAnswer: 7*b**2 - 45","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 931.29 millennia in years?\nAnswer: 931290","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -2*m**2 - 11*m. Let k(d) = d. Let t(x) = -60*x + 959. Let h be t(16). Calculate h*y(n) - 6*k(n).\nAnswer: 2*n**2 + 5*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*o**3\/3 + 68*o**2 - 1528*o\/3 + 752.\nAnswer: -2*(o - 94)*(o - 6)*(o - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5147326?\nAnswer: 2, 29, 88747","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -95*f + 89*f + 6 = 0. Let v be (4\/(-3) + f)*0. Suppose v*w = -5*x + 4*w + 198, -3*x - 5*w + 104 = 0. What is the tens digit of x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.017 + 0.617. Let i = -2.3 - -3.2. Let f = i - g. Which is the second biggest value? (a) 5 (b) f (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8, -1, -3 in ascending order.\nAnswer: -8, -3, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 2 - (3 + -1 - 5)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*i + 3*i + 2*r + 32, 3*i - r - 24 = 0. Suppose -7*w + i = -20. Solve w*b = 5*v - 1, v + 0 - 5 = -4*b for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = 8*d - 124. Is t(50) a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + (1 + -5 + sqrt(300) + 1 + sqrt(18)\/sqrt(54))**2)*2.\nAnswer: -124*sqrt(3) + 2000\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -n. Let d(t) be the third derivative of t**5\/5 + t**4\/4 - 3*t**2 - 1. Determine v(d(b)).\nAnswer: -12*b**2 - 6*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -28 - -17. Let g = -7 - k. What is the tens digit of 2 + 47 + g*1?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 56?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = 4 - 2*c - 3 - 2 - 5. Let d be l(6). What is the remainder when 4\/d - (-202)\/18 is divided by 6?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 5 - 1. Let p(a) = -2 + 4*a**2 - 7*a**2 - 3*a + 3*a - a**3 - q*a. Let j be p(-3). Calculate the greatest common factor of 10 and j.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) be the second derivative of -c**5\/20 - 2*c**4\/3 + c**3\/6 + 11*c**2\/2 + c. Suppose -1582*u + 96 = -1594*u. What is i(u)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) be the second derivative of 2*y**6\/15 + 7*y**5\/5 + 16*y**4\/3 + 8*y**3 + 436*y. What is l in a(l) = 0?\nAnswer: -3, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*a*r**6 + 58*a*r**3 - 150*a*r**2 + 3*a*r wrt r.\nAnswer: -240*a*r**3 + 348*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -188, -210, -230, -248, -264?\nAnswer: -278","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:37 AM and 5:32 AM?\nAnswer: 235","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sa when two letters picked without replacement from sgggggsassa?\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2\/(1 - 12\/8). Let h be (2 - (-5)\/v)*(11 + -3). Let o(s) = 2*s + 2*s + 3 - 5*s. Calculate o(h).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -3*t**2 - 3*t - 2. Let u be l(-4). Let c = -22 - u. Suppose -2*o - 2*o = -c. Solve -o*b = b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-d + d + d)*(-5*d + d + 3*d) + 2*d**2 - d**2 - 4*d**2)*(-5*d + 4 - 4).\nAnswer: 20*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -7753*g + 6939. Let d(j) = -11628*j + 10404. Let y(v) = 5*d(v) - 8*u(v). Find the first derivative of y(p) wrt p.\nAnswer: 3884","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 13.9 + -8. Let p = 12 + -18. Let m = l + p. Put m, 3, 0.1 in increasing order.\nAnswer: m, 0.1, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 146*z + 145*z + 152*z + 141*z - 587*z + 22.\nAnswer: -3*z + 22","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + -2 + sqrt(19))**2 + 4 + -2.\nAnswer: -2*sqrt(19) + 22","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 11001000111100111110011 (base 2) to base 15\nAnswer: 8a10ce","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = 5*z**3 - 3*z + 2. Let w be y(1). Suppose w*l = 38 + 22. Suppose 4*u + j - 95 = u, -2*j = -10. What is the greatest common divisor of l and u?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -g**4 - 15*g**2 + 88 + 83 + 10*g**2 + 3*g**3 - 173 in the form s*g**4 + a*g**2 + q*g**3 + o*g + i and give a.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**7)**(-5\/16)*(d**(-2\/11))**(-3) assuming d is positive.\nAnswer: d**(-289\/176)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*f**3 + 74832*f**2 - 74841*f - 149670.\nAnswer: 3*(f - 2)*(f + 1)*(f + 24945)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 2020753 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 - (-1 + (-3 - (-6 + 1))).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 0.08 times 8324.7037\nAnswer: 665.976296","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 (base 5) in base 12?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 5*(5 + -7 - -3). Let y be 42*(-4)\/(-10)*-15. Let s = c - y. Is s composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -5\/2 (b) -1\/2 (c) -1.22 (d) 6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 10753 + 5*s**2 + 997*s**3 - 9975 - 5*s**2 wrt s?\nAnswer: 2991*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-93)\/(-120) + 2\/(-5). Suppose 5 = -n + 2*n. Suppose 5 = -n*c - 0*c + 5*k, 3*c - 5*k + 5 = 0. Is c less than h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b - i = 0, -b - 4*b - 2*i = 0. Let o(q) be the third derivative of q**6\/120 + q**5\/60 - q**4\/24 + 9*q**3\/2 - 2*q**2. Does 12 divide o(b)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q - 248413 = 4895591. Suppose -5*h - 5494445 = 10645545. Let g = q + h. Round g to the nearest 1000000.\nAnswer: -6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y - 6 = -7*y. Let p be 0 - (-3*y)\/2. Suppose -2*h = p*h. Solve l = -h*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -3*r**2. Let t(o) = 81721*o**2. Calculate t(p(u)).\nAnswer: 735489*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) 1247\/5 (b) 2 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -26, -102, -312, -722, -1398?\nAnswer: -2406","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 27, -16, -5, 75?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 34654 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 147 + -138. Let x = y - -3. Is 3 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) be the second derivative of -5\/12*w**4 + 2*w + 0*w**2 + 0 - 4\/3*w**3. What is the second derivative of c(j) wrt j?\nAnswer: -10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 705 minutes before 10:40 PM?\nAnswer: 10:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 274 minutes before 1:51 AM?\nAnswer: 9:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4 - (-3 - -1)) + 28 - (64 - 55)?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*u - 2*u + u + (-2*u - 3*u + 7*u)*(-2 + 3 - 4) + (-4055 - 283*u + 4055)*(3 - 2 - 2).\nAnswer: 276*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 24192854 is divided by 4838565.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -o**3 - 4*o**2 - 2*o + 3. Let p be u(-3). Solve p*z = z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h + 0 = 2. Let w(u) = u. Let s be w(h). Let m(o) = 0 - 3 - 4*o + 2. Calculate m(s).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -x + 11. Let r be y(11). Suppose -n = -8*f + 4*f + 17, r = 3*n + 3. Solve 10 = -5*t + 5*z - 0*z, t - f*z = -5 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -42 + -32 + 65 + -14?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -1101 (base 2) to base 11\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/13? (a) 0.02 (b) 125 (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -11, 66, 173, 322, 525, 794, 1141, 1578?\nAnswer: 2117","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -5*q. Suppose w - 6 = -w. Let n be (w + 0)\/(-3)*0. Let o(l) = n*l - l - l. Determine a(o(c)).\nAnswer: 10*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -a (base 15) in base 16?\nAnswer: -a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 14027\/115 - 609\/5. Determine l, given that -2\/23*l**2 - q*l + 0 = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 29*v - 23 - 29 + 197 = 0 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -13809, -15287, -16765, -18243?\nAnswer: -19721","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2693, 2694, 2695, 2696, 2697?\nAnswer: 2698","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = x**2 + x**2 - 9*x - 9*x - 3*x**3 - 9. Is j(-5) a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 29 is divided by 9.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 66 and 1758.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = 8917*v + 4105. Let p(x) = 4465*x + 2054. Let y(j) = -3*o(j) + 5*p(j). What is the derivative of y(a) wrt a?\nAnswer: -4426","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -10*w + 5. Let p(n) = 9*n - 4. Determine 7*p(v) + 6*u(v).\nAnswer: 3*v + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express (114*l + 90*l - 487*l)*(-1 - 1 + 5)*(0 + 0 + 2)*(-1 - 1 + 0) as y*l + d and give y.\nAnswer: 3396","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 4\/(-14) + 48\/21. Let t(z) = -266*z**2 + 522*z**p - 260*z**2. Let g(w) = -20*w**2 - 1. Calculate t(g(v)).\nAnswer: -1600*v**4 - 160*v**2 - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l - 25 = -4*g + 1, g - 14 = -2*l. Let k = -105\/8 + 1171\/88. Sort l, k, -1\/4 in ascending order.\nAnswer: -1\/4, k, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 97\/70 and (1356\/600)\/(2\/(-5))?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1595.799 - 1586.2. Let o = -0.401 - k. Which is greater: o or -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -24913.4 - -24913. Sort -2, 5542, j in decreasing order.\nAnswer: 5542, j, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = z**3 - 36*z**2 - 4*z + 141. Determine n(36).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 228231384?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -g + 4*x + 17, 7 + 17 = 3*g - 3*x. Suppose -g*n = 2*s - 575, 3*n = 6*n - 3*s - 345. What is the hundreds digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/26 + (-2975)\/325.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4196465573 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**1\/d**6)\/(d\/((d\/d**(-1))\/d)*d)**26)\/((d**(2\/5))**(-22)*d\/d**(2\/27)*d*(d*d\/(d*(d\/d**(2\/11))\/d)*d)\/d) assuming d is positive.\nAnswer: d**(-37582\/1485)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*g - 4*q - 32 = -5*g, 2*q = -g - 11. Let k(p) = 5*p + p - 3*p - 4*p - 5. Calculate k(g).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 8239.0004563 + -8239. Round l to four dps.\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -13232020331 (base 4) in base 6?\nAnswer: -111214205","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) be the first derivative of 13*y**4\/2 + 2*y**3\/3 - y - 227. Differentiate u(c) wrt c.\nAnswer: 78*c**2 + 4*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -13559 > -13557?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -1, -2 in ascending order.\nAnswer: -4, -2, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -5*a*c**3*o**2 + 2*a*c*o + 2*a*o**2 - 36*a*o - 296*c**4*o**2 - 7 wrt c.\nAnswer: -30*a*c*o**2 - 3552*c**2*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 5 - 1. Factor 0*w**5 - 14*w**4 - 22*w**4 - 5*w**5 + 51*w**m.\nAnswer: -5*w**4*(w - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -2*f**2 + 8*f + 89. Let i be q(9). Sort 4, -0.1, i, 14\/19 in descending order.\nAnswer: 4, 14\/19, -0.1, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iggssgggsghgigggghgg. Give prob of picking 2 i.\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 v when two letters picked without replacement from {a: 1, v: 19}.\nAnswer: 9\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 - (1 - (-11 + 2 + 5)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -4 + -120ae32?\nAnswer: -120ae36","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 5\/(-15) - 968\/(-6). Suppose 5*j + 202 = l, -3*l = -4*j - 2*l - g. Let m = j + 105\/2. What is the common denominator of m and -63\/8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(96)*-1 + sqrt(24) + -1*sqrt(1176))\/(sqrt(256)\/sqrt(2)*1).\nAnswer: -2*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(324)\/sqrt(192))\/sqrt(9) + 5 + sqrt(33)\/(sqrt(44)\/sqrt(4)))**2.\nAnswer: 25*sqrt(3)\/2 + 475\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -20\/8670711 and 46\/147?\nAnswer: 60694977","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of 39537?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*c + 5*c + 4*c)*(6 - 3 + 0) + (3 - 4 - 3)*(13*c + 15*c + 56*c) + (3 + 1 - 3)*(0 + 0 + c) - c + 3*c - c.\nAnswer: -316*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -111 - -65. Let r = a + 46.236. Round r to 2 dps.\nAnswer: 0.24","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -676\/5 + 136. Do h and 0 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -25*i**2 - 445*i + 1101. Calculate u(-20).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.6156 to two dps.\nAnswer: -0.62","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((j**6*j)\/j*j)\/j*j)\/(j*j**(-18)*j))**(-4\/11))**(-8) assuming j is positive.\nAnswer: j**(736\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uvuhuauuvhruhuquvuqr. What is prob of picking 2 u?\nAnswer: 18\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 99*v**2 - 33*v**2 - 34*v**2 - 29*v**2.\nAnswer: 3*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*((sqrt(7) - (3*sqrt(112))**2) + 0)*-2 + (-3 + ((-1 + sqrt(847) - sqrt(847)) + sqrt(847))**2 - sqrt(21)\/(sqrt(21)\/(sqrt(14)\/sqrt(2)))).\nAnswer: -33*sqrt(7) + 10925","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + 3 + sqrt(44) + sqrt(44) + 0 + 1 - (sqrt(176)\/(-2*sqrt(196) - sqrt(196)) + 5))**2.\nAnswer: -172*sqrt(11)\/21 + 81797\/441","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 271386143 to the nearest integer?\nAnswer: 16474","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c, 1 d, and 2 y when four letters picked without replacement from {y: 7, d: 1, c: 2, x: 2}.\nAnswer: 14\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = 152*p + 35. Let s be q(5). Suppose 100 + 164 = d + 2*v, 3*d + 5*v = s. List the prime factors of d.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-30 + 292*q + 28 - 245*q)*(-2 - 3 + 1 + (-2 + 5 - 2)*(-4 - 5 + 3)).\nAnswer: -470*q + 20","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1762 is divided by 1750?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 21454?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h - 2*h + 5 = 0. Let q = 1.3 - 1.9. Which is the second biggest value? (a) h (b) q (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -18 + 38. Let d = 28 - x. Calculate the remainder when 29 is divided by d.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2172228 is divided by 127778.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1437?\nAnswer: 3, 479","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1836161?\nAnswer: 31, 61, 971","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d\/d**(-1\/5)*d*d**(-1)\/d)\/(((d*d\/(d*d**0))\/d)\/d*d**(-3)*d))\/(d\/d**(1\/5)*d*(d**(-2\/9)\/d)\/d)**(-2\/67) assuming d is positive.\nAnswer: d**(1922\/603)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -218, -385, -552, -719, -886, -1053?\n\"Answer: -167*k - 51","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -6018012 by 8684.\nAnswer: -693","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 47263630691 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*w**2 + 0 + 0)*(-1 + 0 - 1) + 121*w**2 + 94*w**2 + 109*w**2 to n*w + y + s*w**2 and give s.\nAnswer: 328","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -0.08 (b) -1326 (c) 0 (d) -214\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = s**3 - s**2 + 8. Let c be f(0). Let a = c - 5. Let k(g) = -g**2 + 2*g**2 + a*g**2. Let w(z) = 2*z**2. Give k(w(d)).\nAnswer: 16*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 389944977182 plus -0.58?\nAnswer: 389944977181.42","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of ((25\/(-15) - -2)*-3)\/((-5)\/45) and 3390?\nAnswer: 10170","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 2303, 2306, 2313, 2324, 2339?\n\"Answer: 2*o**2 - 3*o + 2304","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 74 - -1 - ((64 - 154) + 67)\nAnswer: 98","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -w**2 + 2*w + 10. Determine v(0).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -a + 2. Let c be w(-13). Let p(x) = x. Let r(o) = -366*o. Let y(s) = -102*s. Let l(i) = -5*r(i) + 18*y(i). Determine c*p(g) + 3*l(g).\nAnswer: -3*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 44894 + 44897 - 89789 + 57*m**2 - m**3 + 2*m + 132*m**2 to c*m + k + y*m**2 + g*m**3 and give g.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3\/((-12)\/14)*(-3224)\/182 is divided by 22?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2716*p**3 + 18964*p**2 + 16248*p.\nAnswer: 4*p*(p + 1)*(679*p + 4062)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 12072, 48685, 109840, 195537, 305776, 440557?\n\"Answer: 12271*n**2 - 200*n + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 6 in -0.06, 5\/44, 2, 5, -218?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = m**2 - 8*m - 18. Let s be x(11). Suppose s*z + 400 = 55*z. Calculate the remainder when 159 is divided by z.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -172\/126147 or -0.05?\nAnswer: -172\/126147","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/2 - (-6)\/((-60)\/65)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -815 + 813. Which is the nearest to -0.45? (a) g (b) -5 (c) 0.9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -4*q. Let k be (-4)\/(-10) + 91\/35. Let m be -1*2\/((-2)\/k). Let f(x) = 2*x + m*x - 4*x. Calculate f(g(d)).\nAnswer: -4*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (6 - (5 + 1))*-1 - -2. Solve -m = -l + 2 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*z - s + 5, -z - 3*s - 1 = -16 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 8\/13237? (a) -2 (b) -5\/2 (c) -4\/5 (d) -0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-6)\/(6*(-20)\/30) - (-26)\/(-4). Sort c, 64, 0, -4, -0.4 in increasing order.\nAnswer: c, -4, -0.4, 0, 64","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (l**2 + 1 - 1)*(-29 + 29 - 28*l)*(50 + 30 - 37).\nAnswer: -1204*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*l - 6*l + 37*l.\nAnswer: 20*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -460*(-12)\/(-120)*10*(-2)\/10.\nAnswer: 92","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -1100012112 (base 3) to base 15\nAnswer: -7c48","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -3*b**3 - 2*b**2 + 2*b - 2. Let j(x) = 1399*x**3 + 9*x**2 - 6*x + 6937. Let m(n) = j(n) + 4*o(n). Differentiate m(z) wrt z.\nAnswer: 4161*z**2 + 2*z + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2358 and 432702?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + -66 - (348 + -368) - -108.\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = 571*m + 7604. What is the ten thousands digit of x(146)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = 22*l + 1 - 140*l**2 - 11 + 147*l**2. What is the tens digit of u(5)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-3 + 1 + 3)*(-1 - 2 + 1) + (61 - 163 - 100)*(0 + 2 - 4))*(2*w - 12*w - 6*w).\nAnswer: -6432*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -34*u - 38*u - 32*u - 1 + 111*u.\nAnswer: 7*u - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -5*h**3 - h**2 - h. Let l be o(-2). Let n = -27 + l. What is the tens digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) be the third derivative of y**5\/60 - y**4\/4 + y**3\/2 - 64*y**2. Let t(n) = n**2 - 7*n - 3. Let o be t(8). Give q(o).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 - -2) + -1 + 2 - 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = 5*h**2 - 43*h - 52. Let v(r) = 110*r**2 - 945*r - 1145. Suppose 0 = 25*t - 23*t + 4. Let b(y) = t*v(y) + 45*m(y). Factor b(a).\nAnswer: 5*(a - 10)*(a + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10 - 1100101001011010100110111?\nAnswer: -1100101001011010100110101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -l**2 + 20*l - 34. Let f be (3 - 6) + 0 - -70. Suppose -f = -5*a + 13. List the prime factors of c(a).\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -v**3 + 5*v**2 - 2. Let b be (0 - -402)\/6 - 5. Suppose 5*t + 19 = 3*a + 192, -2*t = a - 78. Suppose 5*l - b = -t. Calculate c(l).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -42 from -412258902.\nAnswer: -412258860","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -20489, -40974, -61459, -81944, -102429, -122914?\nAnswer: -143399","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -221\/138?\nAnswer: -221\/138","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -1078754422 - 14725\nAnswer: -1078769147","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-2)\/(-54) - 400192560\/19440. Is z greater than -20585?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1.4 in -7, -3\/2, -2, 5?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*m - 45 = -16*m for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 5904 and 10?\nAnswer: 29520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 574\/(-399) - -8*(-1)\/(-6).\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2\/7 (b) -1\/5 (c) 0.3 (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is -5422.03 smaller than 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + 0 + sqrt(432) + sqrt(432) + -4 + (1 + sqrt(432))*-6)**2.\nAnswer: 480*sqrt(3) + 6937","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -3*y**3 + y**2. Let i be g(1). Let o be (-19 + 12)*i\/7. Let q(c) = c**2 + 14*c - 8*c**o - 15*c. What is q(-1)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence obkb when four letters picked without replacement from kwbzkokbokbozzozok?\nAnswer: 5\/2448","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (0 - 3) + 6 + -3. Let h = 1 + m. Which is smaller: 2 or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 22264 and 19872.\nAnswer: 184","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) be the second derivative of o**3\/6 - 2*o**2 - 2*o. Let a be b(6). Suppose -3*r = -4*r + a. Does 2 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1.301145 * -27.\nAnswer: -35.130915","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -29*l**3 - 3*l**2 - 6*l - 9. Is b(-2) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -3\/4, -15, 4, -76, -6?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 - 2 = v. Let m = 61 + v. Calculate the remainder when m is divided by 12.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a - 21 = -2*g, 2*g - 4*a - 24 = -0*g. Let l = -13 + g. Sort -7, l, -2 in descending order.\nAnswer: l, -2, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -558 + 558. Let o be (-3)\/198 + (-3)\/18. Let d = 0.5 + -0.53. What is the second biggest value in z, o, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = o**3 - 11*o**2 + 9*o + 5. Suppose 0 = 2*t + p - 2*p - 6, 4*t - 12 = -4*p. Let z be (-1)\/t - 62\/(-6). Let s be q(z). Let b(j) = j + 1. What is b(s)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -5 and 137324.\nAnswer: -686620","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2\/3, 23, -49, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 773597064?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2635 + 2638. Suppose -6*a = -3*a - 39. Solve a = -j*q - 5*t, -4*t = -2*q + 7*q for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_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: Let d = 69 + -30. Calculate the remainder when d is divided by 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = 3*i + 2. Let q be m(5). Let z(y) = y**3 - 13*y**2 + y - 9. Let j be z(13). Suppose j*b = 75 + q. Is b a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -2*m. Let y(g) = 13*g - 1. Let c(k) = 28*k - 3. Let b(z) = -6*c(z) + 13*y(z). Determine b(v(j)).\nAnswer: -2*j + 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1082.767 or -58?\nAnswer: -1082.767","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*m - 9 = 19. Let q be (-686)\/3530 - m\/10. Let l = -331\/3883 - q. Which is smaller: l or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 22068 is divided by 1101?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.105 + -0.395. Which is smaller: v or 2\/3?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a**(-4\/7)\/a**(-3\/5)*(a*a\/(a\/(a*(a\/a**(1\/5)*a)\/a)))\/(a*a**(-4\/11)*a) assuming a is positive.\nAnswer: a**(459\/385)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = 3 - 4*d - 5 - 5. Let z(r) = r**2 + 3*r + 6. Suppose -4*i - 6 = -5*i. Let p(l) = i*z(l) + 5*t(l). Give p(1).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.426 times -1.97089?\nAnswer: 6.75226914","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = 471*a**3 + 2*a**2 - 36. Is d(5) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 283*s**3 - 138*s**3 - 146*s**3.\nAnswer: -s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -m**2 + 8*m + 8. Let n be b(9). List the prime factors of (44 - 10) + 3\/n.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*n + 10*n - 357 = 0. List the prime factors of n.\nAnswer: 3, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*s - 18 = -7*s for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is (-518)\/185*(-1130)\/4 a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-102)\/(-340))\/(5\/50*-18)\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 3*(2 - (-4)\/(-6)). Suppose d - 3*x + 4 = -1, z*x + 25 = -5*d. Let i(y) = -3*y - 3. Let l(f) = 4*f + 4. Let b(p) = 7*i(p) + 5*l(p). Determine b(d).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -770.1525 - -770. What is n rounded to 2 dps?\nAnswer: -0.15","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*f**3 + f**3 + 10*f**3.\nAnswer: 5*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 59782300, 59782297, 59782292, 59782285, 59782276, 59782265?\nAnswer: 59782252","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -111011111100111011010 (base 2) to base 7.\nAnswer: -22461265","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-6)\/14 + 374\/154. What is the highest common factor of m and 8?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4685?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:05 AM and 3:55 AM?\nAnswer: 110","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 3647 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 3 + 2*t**2)*(423*t - 45 + 448*t + 44).\nAnswer: 1742*t**3 - 2*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(119)*-3*-4 - -5*sqrt(119)*3)\/(((sqrt(70) - (sqrt(70)*2 + sqrt(70)))*-6)\/((sqrt(110)*-1 - sqrt(110))\/sqrt(11))).\nAnswer: -9*sqrt(17)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 89*l + 56 + 703 = 20*l for l.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*y + 4*y - 6*y)*(-226*y + 27847 - 27847) - 2 + 2 + y**2.\nAnswer: -903*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -494? (a) 6\/11 (b) 0.02 (c) 1\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 267 + 1?\nAnswer: 268","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -16623*h - 133016. Give s(-8).\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 2 (base 7) to base 4\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = 2*f. Let y = -87 - -151. Let g(x) = -32*x - 32*x + 20*x**2 + y*x. Determine w(g(o)).\nAnswer: 40*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find a such that 4*a**2 + 410372*a + 820728 = 0.\nAnswer: -102591, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -23\/128939700 and 13\/100.\nAnswer: 128939700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 72*o**4 - 11*o**4 + 18*o**4 + (6*o**2 - o**2 - 3*o**2)*(-2*o - 2 + o**2 + 2*o) to the form m*o + p*o**4 + l*o**2 + b + f*o**3 and give p.\nAnswer: 81","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5412*b = 5414*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + 4 + (5*(0 + sqrt(2448) + sqrt(2448)) - (sqrt(2448)*-1 + -5 - sqrt(2448) - sqrt(2448))) + (-2 + sqrt(2448) + 1 - sqrt(2448)) + 5*4*sqrt(2448))**2.\nAnswer: 4752*sqrt(17) + 2665908","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 371 + -380 - ((-3 - -6) + 19)?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 41\/604 and (2415\/(-345))\/((-20)\/(-22)).\nAnswer: 3020","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 394095 a multiple of 45?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -249*n + 103*n + 69 + 149*n.\nAnswer: 3*n + 69","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide 391214135 by -78242827.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.5 - 1.6. Let k = -0.1 - g. Let r = -0.33 + 4.33. What is the closest to k in -0.5, r, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 591 minutes after 2:40 PM?\nAnswer: 12:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:54 PM and 11:38 PM?\nAnswer: 104","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ppiixipppiixpipppp. What is prob of sequence xx?\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.4648 + 3.5352. Which is smaller: 1.09 or g?\nAnswer: 1.09","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 926 to the power of 1\/3, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -5*l + 49. Suppose -3*x - 4*p + 27 = 0, 0 = 5*p - 2*p. What is the lowest common multiple of 24 and k(x)?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00460946 rounded to three decimal places?\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 1690597 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Product of 38572 and -0.1558.\nAnswer: -6009.5176","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 19378.82 litres in millilitres?\nAnswer: 19378820","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 808015 to the nearest integer?\nAnswer: 93","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (8\/28)\/(4\/(-7)).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 45531\/6 - (10 - 253\/22)?\nAnswer: 2, 3, 5, 11, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -29287088 and 1?\nAnswer: -29287088","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is d in -3*d**2 - 22125102*d - 40793344875867 = 0?\nAnswer: -3687517","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 1126\/3 <= -252?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 46 - 35. Calculate the least common multiple of 7 and b.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = r**2 - 5*r - 7. What is h(4)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = z**3 + 22*z**2 - 28*z - 114. What is t(-23)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 182769503 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29 = 5*a - 21. Is a a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = 4. Let g(o) = -o - 6. Let f(s) = -2*g(s) - 3*z(s). Let l(t) = -6*t**2. What is f(l(r))?\nAnswer: -12*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 4, s: 10}. Give prob of picking 3 s.\nAnswer: 30\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -222 - -2210212121?\nAnswer: 2210211122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2640 and 34142880.\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -3970901 + 3?\nAnswer: -3970898","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 193308?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 43.388 + -0.088. Let i = -10.7 - g. Let b = 53.919 + i. Round b to two dps.\nAnswer: -0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/(8\/6))\/(22\/(-264)).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 29141.\nAnswer: 7, 23, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*z**2 + 9*z - 26*z + 13*z - 3 - z**2 = 0. What is z?\nAnswer: -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -o**2 + 27*o - 47. Let g be i(2). Sort 4, 51, g, -3 in decreasing order.\nAnswer: 51, 4, g, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -246, -492, -738, -984?\n\"Answer: -246*y","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 10 - 244425?\nAnswer: -244415","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by 11.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1375 and 11967875.\nAnswer: 125","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Add together 330.405 and -50.8.\nAnswer: 279.605","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -p**2 - 8*p - 12. Let j be x(-6). Let g(n) = n**2 + 30. What is the units digit of g(j)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d - 12 = -3*d + 3*i, 18 = -d - 3*i. Suppose 8*g - 5*g - 4*b + 14 = 0, 2*g + b + 2 = 0. Sort g, -4, d in decreasing order.\nAnswer: g, d, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 (base 16) to base 9\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 78, 247, 528, 921, 1426, 2043, 2772?\nAnswer: 3613","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = d + 29579*i - 29581*i + 13, 0 = 4*d - i + 17 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s*s\/((s\/(s**(-2\/21)*s))\/s)*(s\/((s*(s**12*s)\/s)\/s))\/s assuming s is positive.\nAnswer: s**(-191\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 7.2 + -10.2. What is the closest to -0.6 in 5, s, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is y in 2*y**2\/7 + 5859258*y\/7 - 17577792\/7 = 0?\nAnswer: -2929632, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = 19*c**3 - 3*c + 4. What are the prime factors of d(2)?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) be the second derivative of -k**5\/20 + k**2\/2 + k. Let y be 13\/(91\/(-21)) - -3. Let d be j(y). Solve d = 2*f + 9 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 59193725 a multiple of 921?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -m**2 + 17*m + 40. Let f be b(19). Suppose 3*y + 3 = 4*y. Suppose -t - y = -f. Is -5 at most t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -30 - 47 - 4*d**5 + 16*d + 82 + 24*d**6 - 10*d**2 wrt d.\nAnswer: 2880*d**3 - 240*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 256652 is divided by 11915?\nAnswer: 6437","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -183, -1642, -5611, -13338, -26071?\nAnswer: -45058","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (25 - 18) + 8 + (-6 - 2) + (-4 - -10)?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4841891050?\nAnswer: 2, 5, 59, 739, 2221","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 180?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: ((3366\/12)\/(-11))\/(18*15\/(-360))\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 53\/2 and -11\/1334650?\nAnswer: 1334650","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (216\/30)\/(8\/20). Let c be 1 - (-12)\/8*h. What is the greatest common divisor of c and 98?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1*2 + 2\/(-2). Suppose 16 = c + 3*c, -3*c + 24 = 2*p. Let g = 6 - p. Sort 3, q, g.\nAnswer: g, q, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -y + 3*y - 514. Is y prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 198, 1\/4, -43, -12 in descending order.\nAnswer: 198, 1\/4, -1, -12, -43","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 14\/49 + 100220\/70. Let x = -205 + 1086. Let i = o - x. Is i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 13560, 27129, 40728, 54375, 68088, 81885?\n\"Answer: 3*t**3 - 3*t**2 + 13557*t + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 7, 24, 33, 28, 3, -48, -131, -252?\nAnswer: -417","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2899970.\nAnswer: 2, 5, 19, 15263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4132? (a) 195\/2 (b) 3\/5 (c) 19.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 28 and 476.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = z**2 + 3*z - 4. Let v be s(14). Suppose 7*c = -10 + v. Is c a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000046177818 rounded to 7 dps?\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = l**3 + 20*l**2 + 20*l + 13. Suppose -5*f - b = 100, 9*f + 3*b = 5*f - 91. Determine v(f).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1252 divide 4112600?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -1\/2, -2, -1\/23, 12, -80\/3?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b - 58 = -2*o - 0*o, 4*o - 125 = b. Calculate the common denominator of 61\/2 and 552\/o*4\/30.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -13.53, 3, -4\/3, 10264 in descending order.\nAnswer: 10264, 3, -4\/3, -13.53","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m = 4, -4*h + 994 = 8*m - 6*m. What is the remainder when h is divided by 32?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 680 minutes after 6:56 PM?\nAnswer: 6:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0 + -0.1. Let f = -128.32 - -0.32. Let o = f + 130. Which is the biggest value? (a) o (b) i (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 126.5804mm?\nAnswer: 12.65804","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-5)\/(25\/5) - -374?\nAnswer: 373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 111 + -55. Let q = 88 - n. What is the third derivative of q*m + 2*m**6 + m**2 - 61*m + 29*m wrt m?\nAnswer: 240*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -23\/2 + 11. Which is the second smallest value? (a) 0 (b) w (c) 0.02\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) be the first derivative of 53*c**2\/2 + 82*c - 14. Let v(p) = -26*p - 42. Let j(k) = 3*n(k) + 5*v(k). Is j(15) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 681416?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3.02 or -3799?\nAnswer: -3799","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2227*n - 2219*n = 0 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -345 - -343. Let a(i) = 0 + 0 + 4 - 117*i - 5. Is a(v) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = 4*y**3 + 4*y**2 - 3*y - 3. Let f(u) be the first derivative of -u**4\/4 - u**3\/3 + u**2\/2 + u - 78. Let a be 4*1*(-6)\/8. What is a*f(z) - x(z)?\nAnswer: -z**3 - z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + ((sqrt(4536)*-2 + sqrt(4536) + sqrt(4536))\/sqrt(8))**2 + (sqrt(7) + (sqrt(7) - ((sqrt(343) + 2 - sqrt(7)) + sqrt(7))))*4 + 0.\nAnswer: -20*sqrt(7) - 9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: Let y be 2\/3 - 66\/18. Let t be y + 1 + (80 - -5). Suppose -218 = -3*h + 5*q, -4*h - q + 246 = -t. What is the tens digit of h?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5)\/((-5)\/(-2))*(-3)\/21?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3492*s = -49732 + 129481 + 199611 for s.\nAnswer: -80","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j**3\/13 + 11376088*j**2\/13 - 22752170*j\/13 + 11376084\/13 = 0. Calculate j.\nAnswer: 1, 5688042","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 733.371 rounded to the nearest 10?\nAnswer: 730","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = d**2 + 2*d - 12. Let f be n(0). Let c be (f\/(-8))\/(15\/10). Solve 0 = -k - c - 3 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 5\/2*(57024\/(-180))\/(-33) and 7659?\nAnswer: 61272","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-12)\/45)\/(12\/10). Suppose -10 = 3*m + 2*m. Which is the nearest to m? (a) -0.3 (b) 1 (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1366685837 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19 - 67 = 48*u for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 39386 is divided by 69?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 51 + 17)*(-2*q - 3*q + 4*q)*((0 + 0 - q)*(q + q - q) + 8 - 7*q**2 - 8 - 2*q**2 + 1 - 1).\nAnswer: 680*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 5779736 less than 4.4?\nAnswer: -5779731.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 12506389429 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + 10 = 2*o, d - 1 + 6 = 3*o. Suppose 0 = -d*p + 3*x + x + 2600, -4*p + 2582 = 2*x. Is p a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) be the first derivative of 44*x**2 - 24*x**2 + 109 - 20*x**2 + 12*x**3. Let u(j) = 3*j**2. Calculate u(f(a)).\nAnswer: 3888*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/24 + 15\/(-90)\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find h, given that -132*h**4 - 2227*h**3\/2 - 1882*h**2 - 1903*h\/2 - 51 = 0.\nAnswer: -51\/8, -1, -2\/33","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Determine k so that -k**5\/10 - 3*k**4\/10 + 27*k**3\/10 + 27*k**2\/10 - 81*k\/5 = 0.\nAnswer: -6, -3, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*h = 2*l, -3*l = 2*h + 6447 - 6432 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 40 (base 16) in base 13?\nAnswer: 4c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (9 + -4 - 4) + 1 - 7\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = 9*r**3 + 2*r**2 - r + 1. Determine s(1).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-13)\/689 + 359720\/(-36040)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 421661200 divided by -84332240?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5680\/(-23856))\/(15\/(-49)).\nAnswer: 7\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -4661, -18773, -42265, -75113, -117293, -168781?\n\"Answer: 4*l**3 - 4714*l**2 + 2*l + 47","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -15 + 2. Let l(g) = -10*g**2 + 6*g - 5. Let h(m) = -20*m**2 + 13*m - 10. Let i(d) = r*l(d) + 6*h(d). Find the first derivative of i(j) wrt j.\nAnswer: 20*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7008819 is divided by 721?\nAnswer: 699","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -46, -112, -204, -334, -514, -756, -1072, -1474?\n\"Answer: -2*d**3 - d**2 - 49*d + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zrjhjhjzjjjjzzzjzj. What is prob of sequence zhz?\nAnswer: 5\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -293*l - 10313 + 4604 = 7476 for l.\nAnswer: -45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 41\/381297047 and -35\/4?\nAnswer: 1525188188","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2*50\/1700)\/2.\nAnswer: -1\/34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) be the first derivative of q**4\/4 - 7*q**3\/3 + 7*q**2\/2 + 2*q + 9. Let o be b(6). Is (-668)\/(-52) + o\/52 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 98 + -35. Solve 0 = -v*d + 53*d - 50 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -31\/18 and 2\/4 + 1428\/648.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -t**2 - 7*t - 7. Let i be o(-5). Is (2\/i)\/(4\/3522) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ssqsvqvbscbvc. Give prob of picking 1 c, 1 s, and 2 q.\nAnswer: 8\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*c - 7*c = z + 5902, -2948 = -4*c + 2*z. Is 6 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6\/1 + (-106942)\/88*-44 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 217 minutes before 11:29 AM?\nAnswer: 7:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 333757 is divided by 55614?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is -338 at most as big as -80450?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 39 - 24 - 15 + 46*y**3 - 43*y**3.\nAnswer: 3*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*r = -u - 1, -5*r - 5*u + 9 = -4*u for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 15277, 14257, 12563, 10201, 7177, 3497, -833, -5807?\nAnswer: -11419","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 5\/8 of a day?\nAnswer: 15","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = d - 5*r + 1 + 10, 2*d - 3*r - 6 = 0. Calculate the least common multiple of d and 5.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.12 - -9.88. Let b = -10.6 + t. What is the third biggest value in 3\/7, b, 2?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 4 - (6 + 2\/(-1) + 15\/(-4)). Factor -3 + 3\/2*q**2 + v*q - 9\/4*q**3.\nAnswer: -3*(q - 1)**2*(3*q + 4)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1120 and 3219440.\nAnswer: 560","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -107362*q**2 - 5*q - 2140180 wrt q.\nAnswer: -214724*q - 5","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = 8*d**2 - 2*d**2 - 5*d**2 + 6*d**2 - 12 + 15. Let v be b(-10). Calculate the greatest common factor of v and 37.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 283 divide 1873563?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*d + 10*d - 2461 = -2291. Calculate the lowest common multiple of 1112 and d.\nAnswer: 5560","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -31*l + 20*l**3 + 28*l**2 - 27*l + 24*l**3 - 45*l**3 + 25*l to the form c*l**2 + n*l**3 + v + j*l and give n.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-3 + 0)*4\/(-3). Suppose -b*g = 3*f - 911, -2*f = -f - 1. Is g a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 8 - 4. Let q = 2 - 1.8. Let d = 0.4 + -0.4. What is the nearest to d in q, -3\/7, t?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -592 equal to -305?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h + 2*h = -4385. Let z = -526 - h. What is the tens digit of z\/21 - 6\/(-21)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-176)\/32*6\/(-11)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 89726?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 45 - 45. Suppose 5*a + 25 = i, -187 = -2*r + 6*r - 5*a. Let m = 2 - r. What is the tens digit of m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 195\/(-234)*(-24)\/40*6\/(-10). Suppose 2*h + h = 18. Which is the nearest to h? (a) -0.5 (b) 0.5 (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 625635*m**5 - 2*m**2 + m + 264 wrt m.\nAnswer: 37538100*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 37120397 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Determine n so that -33*n**4\/7 - 4025004*n**3\/7 - 122723835189*n**2\/7 + 513276227946*n\/7 - 89265940056\/7 = 0.\nAnswer: -60987, 2\/11, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*u**4 - 34*u**3 + 36*u**3 - 2 + 4*u + 2 + u**2 as o*u**3 + h + f*u + v*u**2 + i*u**4 and give i.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 2\/51 and -35\/12?\nAnswer: 204","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 19337?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -278, -102, 192, 604?\n\"Answer: 59*l**2 - l - 336","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:41 PM and 6:55 PM?\nAnswer: 374","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) be the third derivative of v**5\/240 + 5*v**4\/96 + v**3\/4 - 26*v**2. Let r(u) = 0. Calculate u.\nAnswer: -3, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 92 = -2*c - 4*h, -4*h - 172 = -16798*c + 16802*c for c.\nAnswer: -40","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 267 is divided by 27.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 3*a, -a + 0*a = -y + 34. Is 18 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 36 a factor of 6264?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2642 to the nearest integer?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 23729625?\nAnswer: 3, 5, 79, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 2261?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Determine q, given that -83*q**2 - 5146*q + 88*q**2 + 2775*q - 2974*q = 0.\nAnswer: 0, 1069","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = 92*x**3 - 27*x**2 + 5*x - 15. What is g(3)?\nAnswer: 2241","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = 41*i - 39. Let h be u(1). Let j(d) be the first derivative of 0*d**3 - 4\/85*d**5 - 25 + 1\/34*d**4 + 0*d + 1\/51*d**6 + 0*d**h. Factor j(a).\nAnswer: 2*a**3*(a - 1)**2\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from oqfiy. Give prob of picking 1 o and 1 i.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express 160*u**2 - u + 154*u**2 - 413*u**2 as p*u + d + w*u**2 and give p.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -36 - 24. Let n = o + 51. Which is bigger: n or -19\/2?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z and 3 t when four letters picked without replacement from {t: 9, z: 11}?\nAnswer: 308\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/2 in 8\/3, 3.8, 0.8, 5?\nAnswer: 0.8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -130509824, -130509819, -130509802, -130509767, -130509708, -130509619, -130509494, -130509327?\n\"Answer: m**3 - 2*m - 130509823","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) be the third derivative of 1\/6*y**6 + 0 - 2\/3*y**4 - 46*y**2 - 2\/105*y**7 + 0*y - 2\/5*y**5 + 16\/3*y**3. Factor h(k).\nAnswer: -4*(k - 2)**3*(k + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2316*x**3 - 868*x**3 - 933*x**3)*(4 + 2*x**2 - 4).\nAnswer: 1030*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.044? (a) 7 (b) -1.1 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 1420?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 10\/225*9*-10?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 2, x: 6, m: 3, i: 1, d: 2}. What is prob of picking 1 e and 1 m?\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -15 - -7. Let v be (l\/10)\/(2\/(-10)). Let a(y) = -y**3 - 2*y**2 + y - 4. Let s be a(-3). Solve s*m + p + 0*p = 0, 4*m = -v*p for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = 10*t - 3. Let k(l) = 3*l - 1. Let s(x) = -6*b(x) + 21*k(x). Calculate the smallest common multiple of 11 and s(3).\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -107\/10344 and -67\/1448.\nAnswer: 1872264","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by 244\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -11 - -15. Let k(p) = p - 3*p + 1 + 0. Let y be k(-1). Solve -y*t + 4 = -r*t for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 123 - 119. Suppose -5*n + h*i = -2*n + 1, i = 4. Suppose -2*g + 1 - n = -s, g = -3*s + 12. Put -4, 7, s in decreasing order.\nAnswer: 7, s, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -496*w + 491*w - 5 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -91899825*x**4 + x**2 - 88*x - 115709.\nAnswer: -2205595800*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1419 - 159*s**2 + 714 + 705.\nAnswer: -159*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 12 and 102?\nAnswer: 204","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 168.85 * -0.9\nAnswer: -151.965","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 - 4 = -u - 3*l, 0 = -3*l + 15. Suppose u*i = 29120016 - 121520016. What is i rounded to the nearest one million?\nAnswer: -23000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 1, w: 4, o: 1, l: 3, b: 2, n: 1}. What is prob of picking 2 l, 1 b, and 1 o?\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((63\/(-91))\/(-9))\/((-5)\/(-260))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 33669215 to the nearest integer?\nAnswer: 5803","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 7*(-39)\/110838*-42\nAnswer: 3\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2644*n**3 - 16*n**2 - 7 wrt n?\nAnswer: 15864","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 235 - 140. Let g = c - 94. Let b(w) = -w**2 + 8*w - 9. Let i be b(6). Solve -2*m + g = -i for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -12*g - 4. Let v(z) = -37*z - 11. Determine -11*h(a) + 4*v(a).\nAnswer: -16*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0 + 0.1. Let b = -26 - -26. What is the nearest to k in -2\/3, -2\/7, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 2 and 0.056?\nAnswer: 0.112","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 27 and (0 + -2)*27\/(-6).\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = 2*h**4 - 6*h - 1. Let m(v) = 11*v - 6*v**4 - 5*v**4 - 4*v + 9*v**4. Let o(w) = 6*m(w) + 7*r(w). What is the first derivative of o(a) wrt a?\nAnswer: 8*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:55 AM and 11:18 AM?\nAnswer: 323","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 321 minutes after 7:16 AM?\nAnswer: 12:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 140b22 (base 13) to base 9.\nAnswer: 822552","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 126695?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express 4 - 2*q**2 - 4 + (0 + 0 + 1)*(-11*q**2 + q**2 - 2*q**2) as t + m*q + c*q**2 and give c.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-3)\/(-5))\/(483\/1127).\nAnswer: 7\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -i - 7. Let j(z) = -z**3 + 3*z**2 - 2*z - 1. Let n be j(3). Let q be a(n). Let t = q + 131. What is the units digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-2)\/19 + 17669994\/(-57). Round y to the nearest one hundred thousand.\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2165 - 2152 - (1 + -93).\nAnswer: 105","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -3165222 or -3165214?\nAnswer: -3165214","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -15154, -60484, -136052, -241852, -377878, -544124, -740584?\n\"Answer: y**3 - 15125*y**2 + 38*y - 68","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xxxxxxqqxqqxdqqddqdd. What is prob of sequence qd?\nAnswer: 7\/76","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 61 + (0 - 0\/(-1)). Let p = -47 + j. What is the units digit of p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 25.3 - 19.25. Let b = x + -6. Let u = 0.15 - b. Sort 0, u, -3 in decreasing order.\nAnswer: u, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = 2*o**2 - 30*o + 32. Let g be s(14). Solve 16 = -g*l + 8*l for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 4 + -4353101041?\nAnswer: -4353101033","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*k - k + k + 2*k.\nAnswer: -4*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1412 + -31024?\nAnswer: -32441","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 34\/13868827 and -71\/175.\nAnswer: 346720675","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z + 4*v - 1784 = 0, -2*z = -0*v - 2*v - 872. Suppose -5*c = 4*c - z. What is the units digit of c?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 6*10*7\/6. Suppose -4*o + v = -2*o. What is the common denominator of -99\/2 and (3\/(-4))\/(3\/o)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -t**3 - 2*t**2 + 2*t - 3. Let s(a) = a**3 - 1 - a**2 + 0 + 5 - 2*a + 3*a**2. Suppose 187 = 3*u + 202. Let c(d) = u*v(d) - 4*s(d). What is c(-3)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -53 + 59. Suppose -64 = -l*p - 52. Is (-208586)\/(-84) - p\/12 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*z + 0 + 25 = 0 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -10, -67, -2, 0.07?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -252366.341 rounded to the nearest 100?\nAnswer: -252400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -14 + 5?\nAnswer: -d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t + 7*t + 12 = 0. Which is greater: -5 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = g. Let v(n) = -7*n**2 + 2. Give r(v(m)).\nAnswer: -7*m**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q - 4*q + 8 = 0. Let y = -2 + q. Let i be -16*(1 - (y - -4)). Calculate the greatest common divisor of i and 120.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 9683?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -3*a**2 - 86*a - 180. What is l(-27)?\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 247 and 123063551.\nAnswer: 247","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 957.9 - 958.2. Which is the nearest to 0.2? (a) 9\/7 (b) d (c) 0.029\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2999*c + 105906 - 30931 for c.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = c**3 + 4*c**2 - 2*c - 1. Let s be d(1). Suppose -n - 3 = -6. Suppose 0 = 5*m - n*v - 12, -m + v + 4 = -4*m. Sort m, s, -1 in increasing order.\nAnswer: -1, m, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1, -164, -1\/5, 1\/72, 5, -3?\nAnswer: 1\/72","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 31\/44 and -25\/2057.\nAnswer: 8228","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -z**3 + 4*z**2 + 13*z. Let n be r(6). Calculate the remainder when 1\/((-2)\/18*-1) is divided by n*2 - (11 - (3 + 3)).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6)\/(-2)*-1*(12\/(-6))\/26?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 12, -4, -2, 5.4 in decreasing order.\nAnswer: 12, 5.4, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) be the third derivative of -i**6\/60 + 7*i**4\/4 - 63*i**3 + 14*i**2 + 13*i. What is the derivative of c(a) wrt a?\nAnswer: -6*a**2 + 42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-7 - -129)*(1 + (0 - -1)). Let b = 247 - n. Solve 0 = u - b - 2 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = 4*m - 6. Let g be f(3). Suppose -4*a = g*a. Suppose 5*q - 2*y + 3 = 0, -3 + a = 3*y. Let h(s) = 2*s. Give h(q).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = 4*y**2 - 6*y + 6. Let p be x(2). Which is greater: 7 or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.3, -247, 0.64, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 16 - 11. Suppose 0 = c*q - 2*q - 3. Solve -2*w - q = -9 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t = 2*t. Let j = -7.2 - -7. What is the closest to t in j, 4, -2\/11?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 4 in -2\/13, -1\/5, -1\/4, -3?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = 2*h**3 - h**2 - 3*h**3 + 0*h**2. Let u(q) = -q**2 - 35*q - 301. Let o be u(-16). Let y(x) = -x**3 - x**2. Calculate o*j(t) - 2*y(t).\nAnswer: -t**3 - t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 minutes after 12:47 PM?\nAnswer: 12:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = 5*x**3 - 3*x**2 - 2*x - 1. Let j be b(5). Let a be (1 + 4)*12\/12 + 44. What is the greatest common divisor of j and a?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 7168 - 7168. Let l(i) = 16*i + 12. What is l(k)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*a + 2*a - a)*(-1 - 3 - 1) in the form v + j*a and give j.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Product of -28.68 and 8.\nAnswer: -229.44","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -141280 - -b46?\nAnswer: -140336","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) -0.075 (b) -114066 (c) 0.02\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 10 + -2. Let n(f) = -1 - 9*f + 3 + f**2 + 8 + 0. What is the units digit of n(j)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = 3*c**2 + 107*c - 16. Determine q(-36).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-8)\/2*(4 - 5). Let v be (-31996)\/10 + f\/(-10). What is v rounded to the nearest 1000?\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19*p = -71 + 185 for p.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-2)\/(-2)*0\/(-2). Let l = 31 + -30.79. Let u = l - 5.21. Is r greater than u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 784833.3 days to seconds.\nAnswer: 67809597120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 9614870 to the nearest integer?\nAnswer: 213","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 11456491?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) be the third derivative of 0*b**7 + 0 - 53*b**2 + 0*b**6 + 0*b**5 + 2\/21*b**8 - 1\/24*b**4 - 4*b**3 + b. Find the second derivative of x(t) wrt t.\nAnswer: 640*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -100.9 + 108. Let k = 2 - s. Let j = k + 5.6. Which is the second biggest value? (a) 0.4 (b) 1 (c) j (d) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*l + 4*l = 0 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 42, 2\/249, -5, 0.2?\nAnswer: 2\/249","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is (-96 + 91)*(-93802)\/10 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m - 10 - 52 = 0. Let l = -38 - m. Let t(v) = -10*v - 7. Calculate the remainder when t(l) is divided by 11.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2415, 2425, 2435, 2445, 2455, 2465?\nAnswer: 2475","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 2 + 33366055?\nAnswer: 33366060","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*f - 14 + 14)*((2 + 1 - 1)*(-2*f + 2 + 3*f - 2*f) + (-2 + 6 - 2)*(-5*f + f + 3*f)).\nAnswer: 12*f**2 - 12*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -2 + (-12)\/(-9) - 0\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.4 - 0.1. Let n = 213 - 212.5. Let z = n - k. Which is the closest to 1\/2? (a) z (b) -5 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mmmmxxx. Give prob of sequence xx.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.3? (a) 40 (b) -25 (c) 1245\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 36006975?\nAnswer: 3, 5, 160031","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f + 40 = f. Let d = f - -14. Solve -3*q = x + 1, 0*q = -q - 4*x - d for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -151 + 154. Suppose -4*y + 3*y + 2 = f, 0 = g*f + 9. Solve -9*r = -y*r + 16 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -33, -0.3, -3\/5, -12.4, 2, 6 in ascending order.\nAnswer: -33, -12.4, -3\/5, -0.3, 2, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 - -242732714068000.\nAnswer: 242732714068000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 18, t: 2}. What is prob of picking 3 z?\nAnswer: 68\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (285*i**2 - 26*i**2 - 29*i**2)*((-8 - 6*i + 8)*(-i**2 + i**2 + 2*i**2) - 5 + i**3 + 5 + 3*i**3 + i**3 - 6*i**3).\nAnswer: -2990*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 18747865?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 1*(-4)\/(-60)*(-122 + -61)?\nAnswer: -61\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = 3*b**2 + 17*b + 21. Let h be m(-9). Suppose -3*k + 5*o + 338 = 0, -k + 2*o + h = -0*k. What is the highest common factor of 11 and k?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 28865332 to the power of 1\/2, to the nearest integer?\nAnswer: 5373","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*f - 7*f - 3*f**2)*(-27 - f + 41 - 24).\nAnswer: 3*f**3 + 30*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) be the second derivative of 4*v**3\/3 + 7*v**2\/2 + v. Let i(k) = -23*k - 20. Let u be (-8)\/(7\/(-3) + 1). Give u*i(r) + 17*l(r).\nAnswer: -2*r - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 95875.\nAnswer: 5, 13, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = r**2 - 27*r + 137. What is x(9)?\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 0 + 1 - (-1 + 0 - -18) - -5\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 + 2 - 2)*(-509201*z**2 + 509201*z**2 + 806*z + 2*z**4) to s*z**3 + y*z**4 + p + w*z**2 + o*z and give o.\nAnswer: -806","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 361, 735, 1123, 1525, 1941, 2371?\n\"Answer: 7*j**2 + 353*j + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 797 + -524. Suppose v = -2*v + q. Calculate the remainder when v is divided by 2 + 30\/5 + 23.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -o**2 - 8*o + 468. What is h(-26)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 158220 rounded to the nearest one thousand?\nAnswer: 158000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-3)\/66*((-24)\/5 + 4)*-5. Suppose -3*r + r + 22 = 0. Which is the fourth smallest value? (a) 1 (b) n (c) 0.3 (d) r\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-28)\/126 + 11\/9.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7.169 - -0.8?\nAnswer: -6.369","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ssppspssss. What is prob of sequence ps?\nAnswer: 7\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26 = -3*m + 16. Suppose 20*z = 13*z + m. Solve -2*r + 4*w - 10 = 0, -6*r = -z*r - w + 13 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 36055 to the power of 1\/4, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 + (-1715001)\/(-16 - -13) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -39*u**3 + 11*u**2 - 8*u + 8. Let a(q) = 25*q**3 - 7*q**2 + 5*q - 5. Let r(v) = 8*a(v) + 5*z(v). Let y(f) = f**2. What is -2*r(m) - 2*y(m)?\nAnswer: -10*m**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -8 (base 13) to base 3\nAnswer: -22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:42 AM and 8:22 PM?\nAnswer: 520","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -15*h. Let d(i) = -5*i - 5*i - 4*i + i. Give y(d(s)).\nAnswer: 195*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -u - 3 + 30 = 5*t, -t + 1 = -2*u for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 55 divided by 11.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide 16480 by -50.\nAnswer: -1648\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 12 + (-25 - -24) + -26\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4309127?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*m**4 + 1 - 19 - 13973*m**3 - 2*m**2 + 13981*m**3 to the form p + w*m**3 + x*m**2 + h*m**4 + c*m and give w.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 25075912 to the nearest integer?\nAnswer: 293","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:36 PM and 3:32 PM?\nAnswer: 56","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor -g**3\/2 + 133*g**2\/2 - 4851*g\/2 + 27783\/2.\nAnswer: -(g - 63)**2*(g - 7)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + -3 + (0 + (sqrt(343) - -5*sqrt(343)) - sqrt(343))*2)**2.\nAnswer: -980*sqrt(7) + 34349","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 225 (base 9) in base 15?\nAnswer: c5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 406 and 322?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1775916 by 49331.\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 290129?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2409 or 2410?\nAnswer: 2409","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 246 is divided by 126?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 6973875739 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-7)\/(-3)*-29*396\/(-1914).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 4*i**5 - 3702*i**3 + 30028*i**2?\nAnswer: 240*i**2 - 22212","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -13236*o - 77. Is m(-1) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/a**(-28)*a*a**14*a)\/(a**(-4\/9)*a\/(a*a**(-5\/11)\/a*a)*a*a*a) assuming a is positive.\nAnswer: a**(4157\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*l - 4 = -0*l for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = m - 6. Let d be g(6). Let k be -2*(-2)\/(-12) + d. Let h = -5\/8 - -21\/40. Sort k, -2, h in decreasing order.\nAnswer: h, k, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -687 + 1169. Which is greater: n or 483?\nAnswer: 483","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1265884 is divided by 298.\nAnswer: 278","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 326976 and 6288.\nAnswer: 326976","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 1311572404 to the power of 1\/2, to the nearest integer?\nAnswer: 36216","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -10*t**4 + 6*t**3 - 4*t**3 - t**4 + t**2 + 0*t**3 - t to m*t**3 + y*t**4 + w*t**2 + q*t + v and give y.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*k - 23 = 8*t - 7*t, 15 = -4*t + 5*k for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 98, 391, 880, 1565, 2446, 3523, 4796?\n\"Answer: 98*l**2 - l + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 842453664 by -32.\nAnswer: -26326677","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -4\/13 (b) -5 (c) -5\/304 (d) -2\/9 (e) 5\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ydy when three letters picked without replacement from {y: 2, d: 7}.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -156*r - 2161 = 4206 + 1433 for r.\nAnswer: -50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:24 AM and 12:33 PM?\nAnswer: 549","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Product of -6100 and -11.229.\nAnswer: 68496.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = 4*z. Let j = -229 - -245. Let d(o) = 6 - j*o**2 - 9*o**2 - 6. Calculate d(l(n)).\nAnswer: -400*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (sqrt(539) - (2 + sqrt(539) + 0)) + 5.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = 53*f**2 + 35*f + 707. Is h(27) a multiple of 103?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 5966606494?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*a - 11*a + 48 = 0. Is a a multiple of 48?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence eee when three letters picked without replacement from {e: 3, m: 11}.\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1 - -1) + -18 + 14 - -6) + 14?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 142230394?\nAnswer: 2, 41, 109, 15913","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 4\/2 + 0 + 29. Suppose 2*q - 915 = -97. Let o = -161 + q. Calculate the greatest common divisor of o and v.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3069 and 1395.\nAnswer: 279","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = a. Let f(m) = -3 + 10*m - 5*m + 3. Let b(c) = -5*c + 6*c + 7*c - 2*c. Let d(o) = -6*b(o) + 7*f(o). Give u(d(v)).\nAnswer: -v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t and 3 o when four letters picked without replacement from {o: 12, f: 1, t: 5}.\nAnswer: 55\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -7674, -30730, -69188, -123054, -192334, -277034?\n\"Answer: -b**3 - 7695*b**2 + 36*b - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 25424612 to the nearest integer?\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g = -2*j + 6 + 8, 7 = 4*g - 3*j. What is the lowest common multiple of g and 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*b**2 - b**2 + 0*b**2)*(7*b - 2*b + 0*b)*(-b - b + 3*b)*(2 + 14 + 4).\nAnswer: 100*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/(24\/4)*15?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 26, 50, 64, 56, 14, -74, -220, -436?\nAnswer: -734","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2.19461 + -272468.305.\nAnswer: -272466.11039","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.7 - -106.3. Let q = t - 107.00000603. Round q to 7 dps.\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ceotoppocoop. What is prob of picking 2 c?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = 61*r**2. Let m(f) = -f. Determine m(j(u)).\nAnswer: -61*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -55, -55, -53, -49, -43?\n\"Answer: a**2 - 3*a - 53","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 43443022 (base 5) to base 10.\nAnswer: 374762","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -25 times 0.2\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cpqp when four letters picked without replacement from {q: 1, h: 2, o: 1, c: 3, p: 4}?\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 21911 is divided by 21230.\nAnswer: 681","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((r**(1\/4)*r*r)\/r)\/r)\/r**(3\/2))\/((r**(-2\/5)*r)\/r)**9)\/((r*r**(-1\/3))**(2\/27))**(-19) assuming r is positive.\nAnswer: r**(5327\/1620)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -43*x**4 + 4299*x**2 + 261230?\nAnswer: -172*x**3 + 8598*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -6 by 558.\nAnswer: -1\/93","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = d + 5. Let b(h) = 2*h - 9. Let t be b(6). Let q(r) = 3*r + 180 - r - 174. Determine t*q(l) - 4*p(l).\nAnswer: 2*l - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.29666 to two dps.\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 25818 and 761.\nAnswer: 19647498","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -22\/5? (a) 1 (b) -10 (c) 3\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 470 minutes before 11:20 PM?\nAnswer: 3:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 198*u**2 + 16*u**2 - 639 + u + 37*u**2 + 41*u**2 + 183 wrt u.\nAnswer: 584","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = i - 5. What is t(-5)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5 + 2*y + 20*y**3 + 3 - 2*y + 0.\nAnswer: 20*y**3 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -391*r**3 + 3*r**2 - 6*r - 1. Let p(h) = 391*h**3 - 2*h**2 + 4*h. Calculate -3*p(a) - 2*y(a).\nAnswer: -391*a**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + (3 + sqrt(1053))*-3)*3.\nAnswer: -81*sqrt(13) - 33","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1777 is divided by 199.\nAnswer: 185","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 + t + 0)*(-10 + 0 - 10) - 2*t - t - 6*t to the form k*t + l and give k.\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 163049.\nAnswer: 103, 1583","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*c + 14 + 1. Suppose -c*b = 5*w - 40, w - 20 = -4*b - b. Do 5 and w have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2397*c*p**3 + 2149*p**3 wrt c?\nAnswer: 2397*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 215480*u**3 + 215477*u**3 - 3 - 430956*u**3.\nAnswer: u**3 - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 118 a factor of 636098?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -10813.465389 - 0.1\nAnswer: -10813.565389","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0 - -3. Let -w**4 + w + 4*w**l - w**2 - 4*w**2 + w = 0. What is w?\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9978566291 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*r - 2*r + 0*r + (-3 - r + 3)*(-1 + 3 + 5))*(-r + 2*r + 0*r)*(1 + 1 - 3).\nAnswer: 6*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 134.6 - 135. Which is the second biggest value? (a) 3 (b) -0.5 (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -k*v**5 + k*v**4 - 3*k*v + v**3 + 5*v - 1 wrt v.\nAnswer: -20*k*v**3 + 12*k*v**2 + 6*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 807615 is divided by 10?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -26*k**2*l**2*p - k**2*l**2 + 43*k**2*p + 3*k**2 + 2*k*l**2 - 3*k*l + 2*k*p + 14*k - 43*l**2 wrt k?\nAnswer: -52*l**2*p - 2*l**2 + 86*p + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) be the third derivative of -1\/105*f**7 + 0*f**4 - 12*f**2 + 0 + 0*f**3 + 0*f + 1\/840*f**8 - 2\/75*f**5 + 2\/75*f**6. Solve h(m) = 0.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -450 + 450. What is g in 2*g**3 + 0 - 17*g**4 + 98*g**5 + f + 29*g**4 + 16*g**4 = 0?\nAnswer: -1\/7, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -r. Let u(i) = -8*i + 3. Let s(c) = -88*c + 32. Let f(t) = 3*s(t) - 32*u(t). What is p(f(k))?\nAnswer: 8*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 83249836, 83249832, 83249828, 83249824, 83249820, 83249816?\n\"Answer: -4*k + 83249840","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) be the second derivative of -7*w + 0 + 1\/6*w**3 + w**2. What is the units digit of q(1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) be the first derivative of 0*n**5 + 9\/7*n**7 - 5 + 0*n**2 + 0*n**6 + 0*n + 0*n**4 + 8\/3*n**3. What is the third derivative of y(x) wrt x?\nAnswer: 1080*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2850*d**2 + 9729*d - 6684 = 0. What is d?\nAnswer: -4, 557\/950","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -48*x + 2 - 5 = -3. Solve x = 3*y + 4*g - 30, 0 = -15*g + 17*g - 12 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 3\/4, 0, 1\/2, 4\/7, -7586?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2619739*i*n**3 + 20*i*n + 37168*n**2 wrt n.\nAnswer: 15718434*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 - (-1 - 4)) + -1.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 2, n: 1, a: 1, m: 1, s: 5}. What is prob of picking 1 n and 1 j?\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Product of 11814468 and -67.\nAnswer: -791569356","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put 9, 169, 4, -3 in descending order.\nAnswer: 169, 9, 4, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = 2*j**3 + 12*j**2 - 2*j - 7. Let i be h(-6). Suppose 316 = v + t + 2*t, -4*v + i*t = -1349. Is v a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 289632 and 43008?\nAnswer: 672","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (11*h**2 - 6*h**2 + 4*h**3 - 6*h**3 + 3)*(-2*h**2 + 2*h**2 - h**2).\nAnswer: 2*h**5 - 5*h**4 - 3*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -15260, -15270, -15294, -15338, -15408, -15510, -15650?\nAnswer: -15834","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1 + 3 - (-3565)\/(-1147). Which is bigger: x or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + (sqrt(425) + -2)*-6)**2 + 1.\nAnswer: -600*sqrt(17) + 15401","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express 27*b + 1 + 72*b - 106*b - 5*b**2 - 7*b**3 + 2*b**2 - b**4 in the form q*b**4 + j*b + f + g*b**3 + n*b**2 and give n.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-3 + (-21)\/(-9))\/((-12)\/(-54)). Put -14, 5, b in ascending order.\nAnswer: -14, b, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 223 - 223.3. What is the nearest to -1 in 0.2, 16\/7, -0.02, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 8918, 8920, 8924, 8930?\n\"Answer: w**2 - w + 8918","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -158*j + 38124 = -473322. List the prime factors of j.\nAnswer: 3, 13, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*y - 4*y. Solve 4 = 4*i - y for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 (base 4) to base 6\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -z**3 + 5*z**2 + 3*z - 1. Suppose 90 = 24*y - 22*y + x, -225 = -5*y - 2*x. Calculate the smallest common multiple of y and v(4).\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = x + 14. Let w be s(-7). Let m = 6 + w. What is the units digit of m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 37.05091 nanograms in kilograms?\nAnswer: 0.00000000003705091","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3 - 7) + 33 - 8?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 259305578 to the power of 1\/2, to the nearest integer?\nAnswer: 16103","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.4, -41, 1\/10?\nAnswer: -41","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zzwwzzwz. What is prob of sequence wz?\nAnswer: 15\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p - 4 = 0, -3*b + 12 + 36 = 3*p. Is 43 a factor of 2*(-6)\/(b\/(-215))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1212 - 3?\nAnswer: 1204","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence clcc when four letters picked without replacement from {l: 1, c: 7, w: 12}?\nAnswer: 7\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -62 + 270 = 52*h. Sort h, 645, 2 in descending order.\nAnswer: 645, h, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1.0348 * 100\nAnswer: -103.48","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from efvef. What is prob of picking 1 v and 2 f?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 2582068 (base 10) to base 6\nAnswer: 131202004","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -6613 - -6613.05. What is the nearest to 5 in 7, -3\/2, u?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -753.4 - -748.4. What is the nearest to -0.09 in k, -3, 0, -1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*c = 116 - 724. Let f(h) = h**2 - 29*h - 127. What is the tens digit of f(c)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 36 and 1832.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 6, a: 2, g: 2, c: 2}. What is prob of sequence jj?\nAnswer: 5\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3 - 3. Suppose u + 4*x - 13 = 0, o = -0*x + x + 1. What is the remainder when 32 is divided by u?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -10*j**3 + 85*j**3 + 18*j**3 - 1108*j**2 - 14*j**3 - 4*j**4 + 53*j**3 - 2200 + 3180*j.\nAnswer: -4*(j - 22)*(j - 5)**2*(j - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -4\/6061, 0, 3.2, 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) be the third derivative of 0 + r**2 + 0*r**3 + 0*r + 0*r**4 + 1\/30*r**5. Let q(t) be the first derivative of 3*t**2\/2 - 308. Determine q(x(i)).\nAnswer: 6*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = 738*p**2 + 8039*p - 835. Give q(-11).\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 195.2067 months in years?\nAnswer: 16.267225","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:57 AM and 10:10 AM?\nAnswer: 373","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = 16*z - 10. Let y = 24 - 13. Calculate the remainder when a(y) is divided by 57.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*v + 4*o + 1954 = 3580 - 1792, -4*o = v + 6 for v.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 12 (b) 1\/14 (c) 2 (d) -1\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 1214, 3198, 6504, 11132, 17082, 24354?\n\"Answer: 661*z**2 + z + 552","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -3794.393 rounded to the nearest 100?\nAnswer: -3800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2117025 to the nearest integer?\nAnswer: 128","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -0.06 (b) -1\/180 (c) 0.12\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000000481231386 rounded to seven dps?\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 216 divide 77469380?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 502 minutes before 7:45 AM?\nAnswer: 11:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -3, -4\/69, 5, 3.66?\nAnswer: -4\/69","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.1, 0, 0.33, 2?\nAnswer: 0.33","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is b (base 14) in base 9?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 30303 and 43290?\nAnswer: 303030","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve o + 6*o + 12 = -a, 7*a - 39 + 6 + 17 = o for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 105 and 26390?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -21758, -21931, -22224, -22637, -23170, -23823?\n\"Answer: -60*l**2 + 7*l - 21705","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*u - 7*u + 14 = 0 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -6.108 * -3039\nAnswer: 18562.212","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -851, 4, 0, -3, 72 in decreasing order.\nAnswer: 72, 4, 0, -3, -851","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*c + 125 = f + 79, -f - 5*c - 74 = 0 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 777, 1425, 1927, 2283?\n\"Answer: -73*y**2 + 867*y - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*b - 5*b - b)*(9 - 12 + 2*b + 17) in the form p*b + u*b**2 + c and give p.\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 + 4 + 1 - 1 + 2 + 5 - 3 - 1 + (-1 + 3 - 1)*(4 - 2 + 0) - 1 + 1 + 1)*(3 - 3 + 4)*(3*n**2 - 2*n**2 + 3*n**2).\nAnswer: 160*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1871233 and -7?\nAnswer: 13098631","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: Let b(h) be the first derivative of -2*h**5\/5 + 11*h**4\/4 - 48*h + 58. Differentiate b(x) wrt x.\nAnswer: -8*x**3 + 33*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q - x - 487 = q, 2*q - 4*x = -248. Let h = q + 124. Let w be (-10)\/(-4)*(-4)\/(-5). What is the highest common factor of w and h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-45)\/((-18)\/(-2)) - 0.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = 7*x**2 + 3*x. Determine v(-2).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f - 1 = 4*f. Calculate the common denominator of (-405)\/(-70) - (3 + f) and (1105\/(-39))\/((-12)\/(-9)).\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4999388644 to the power of 1\/3, to the nearest integer?\nAnswer: 1710","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 0 + 3)*(y**4 + 0 + 0) - 1081*y**4 - 1370*y**4 + 4825*y**4.\nAnswer: 2372*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1271 + -1000.9. Round p to the nearest 100.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -101*p - 9. Let g(t) = -51*t - 5. Suppose -28*s + 30 + 104 + 34 = 0. Calculate s*c(a) - 11*g(a).\nAnswer: -45*a + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = z + 2*z - 6. Suppose -6*u = h - 2*u - 8, 2*h = -2*u + 4. Let t = h + z. Solve 4*q + 5 = -p + 12, -t*p = -2*q + 6 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2043 + 2618. Is u prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 - (3 + -4 + 1 + -4).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -30, -13, 2, 0, -1 in decreasing order.\nAnswer: 2, 0, -1, -13, -30","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -78 + 109. Let a = z - -4. Suppose 2*c + 0*q = -2*q + 10, -5*c = -2*q - 53. Calculate the remainder when a is divided by c.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*c - 13*c = -30 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(68)\/(sqrt(4) + (sqrt(4) - ((sqrt(4) - (sqrt(4)*1 + sqrt(4)) - sqrt(4)) + sqrt(4))))*2.\nAnswer: 2*sqrt(17)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 2138, 9334, 21322, 38102?\n\"Answer: 2396*x**2 + 8*x - 266","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j, 1 q, and 1 n when three letters picked without replacement from {n: 1, q: 1, c: 4, z: 2, l: 7, j: 5}.\nAnswer: 1\/228","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is (-16)\/(1152\/(-4281640)) - (-4)\/(-18) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*n + 3 = -27. Let i(b) = -4*b**2 - 11*b + 15. Let h(t) = 5*t**2 + 11*t - 16. Let p(y) = n*h(y) + 6*i(y). Calculate p(9).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*g**5\/9 + 4660*g**4\/9 + 904816*g**3\/3 - 4660*g**2\/9 - 2714450*g\/9 = 0 for g.\nAnswer: -1165, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4\/3)\/((-506)\/(-33))?\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 34 a factor of 2142?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*w**3\/3 - 2673544*w**2 + 2673546*w - 2005160\/3 = 0. What is w?\nAnswer: -1002580, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 22\/91569 >= 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 890, 902, 914, 926?\n\"Answer: 12*z + 878","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zsbhshhzokoh. What is prob of picking 1 z and 1 o?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 39\/2560 and 39\/3520?\nAnswer: 28160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = 2*l**3 - 4*l**2 - 6*l - 5. Let t be i(4). Suppose 9*x = 73 + t. Let f(j) = j**3 - 11*j**2 - 13*j + 27. Is f(x) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7493 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -2*t**2 + 41168*t + 576674. Calculate g(-14).\nAnswer: -70","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(352) + sqrt(352) + sqrt(352)*-1)\/sqrt(8))\/sqrt(2))\/(4*(sqrt(11) - -4*sqrt(22)\/sqrt(2))).\nAnswer: sqrt(2)\/20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find y, given that 2*y**5\/7 - 664*y**4\/7 - 11000*y**3\/7 - 47168*y**2\/7 - 55680*y\/7 = 0.\nAnswer: -10, -4, -2, 0, 348","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v = 10, 3*t + v + 0*v - 13 = 0. Calculate the smallest common multiple of 1531 and t.\nAnswer: 7655","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 68199855?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*m**5\/7 - 486*m**4\/7 - 3736*m**3\/7 + 5864*m**2\/7 + 52896*m\/7 + 60160\/7 = 0. What is m?\nAnswer: -235, -8, -2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -k + 15 = -2*z - 0*k, 11*z + 4*k = -50 + 91 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + (3 + sqrt(75))**2 - -1*(sqrt(75) + (sqrt(75) + -4)**2)) + 1.\nAnswer: -5*sqrt(3) + 178","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**(-2\/3))**(24\/11))**47 assuming v is positive.\nAnswer: v**(-752\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 707341596?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 461651.8mm in micrometers?\nAnswer: 461651800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 178 = 176?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Determine f, given that -1\/2*f**4 + 3\/2*f**3 + 0 - f**2 + 0*f = 0.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 564 + -555. Suppose -g*u = -59 - 346. Let h = 20\/7 - 87\/28. What is the second smallest value in h, -1, -4\/3, u?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 430159 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -z - 19. Let k = 0 - z. Suppose g = -g + 6, -k = -5*r - g. Solve -5*o + 16 = 2*h + r*h, 0 = -4*h - 2*o + 16 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u = 3*j + 9, 2*u - 4 = -3*j + 7. Suppose -19 = -i + 3*r, r = j - 0. What is the units digit of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1, 3, -0.3, -1214\/3, 5\/2, -1\/4?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 7) to base 9.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 112018057 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -23590, -23589, -23588, -23587?\nAnswer: -23586","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3.06 + -5.23. Let i = n - -2.47. Sort -20, i, -0.2.\nAnswer: -20, -0.2, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -158, -338, -544, -782, -1058, -1378, -1748?\n\"Answer: -j**3 - 7*j**2 - 152*j + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c + 3 + 15 = 0. Solve -3*m = f - c, -m + 8 = -4*f + 3*m for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -42, -2, -4, 5, 7, 2 in ascending order.\nAnswer: -42, -4, -2, 2, 5, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -826 - -7?\nAnswer: -819","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*p + 7*p**3 - 4*p**3 - 3*p to x*p**2 + w*p + m*p**3 + n and give m.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -42*k + 3. Let b(o) = 169*o - 16. Calculate -2*b(f) - 11*h(f).\nAnswer: 124*f - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 97486933?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (49*f - 31*f + 119*f)*(0 + 4 - 5).\nAnswer: -137*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + 10175614084.609.\nAnswer: 10175614087.609","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -v**3 + 2*v + 46. Let d be m(0). Suppose -6*t - d = -610. Let f = -56 + t. What is the remainder when f is divided by 10?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -9.46 or 0.03?\nAnswer: -9.46","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 480 minutes after 2:16 PM?\nAnswer: 10:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 1, c: 1, y: 4, o: 2, z: 2}. What is prob of sequence my?\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1971.5 + 2501. Let l = -530 + b. Let d = -66 - -129\/2. Sort l, -0.2, -2\/13, d.\nAnswer: d, l, -0.2, -2\/13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 20753\/1 + (6 - (-5 + 9)). Find the first derivative of b*f - 83 - 6*f**2 - 20755*f wrt f.\nAnswer: -12*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -5437 + 4?\nAnswer: -5433","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u\/(u*u\/(u\/(u\/u**0*u*u))))\/u)**(-27)\/(u**(-3))**(-1\/21) assuming u is positive.\nAnswer: u**(755\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 33802553 divided by 17.\nAnswer: 33802553\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 2564?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 158574723*g**4 + 103605161*g wrt g.\nAnswer: 1902896676*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -2*r - 5. Let a be l(-7). List the prime factors of (1*a)\/((-6)\/(-4)).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x = 15*z - 16*z - 6, -3*x = -2*z - 2. Put 112, x, 1 in decreasing order.\nAnswer: 112, 1, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6449 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 23298032?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 56239907 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 6618809 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -2\/9, -2, -113, -11, 1\/4, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = z**3 - 5*z**2 - z + 4. Let c be r(5). Let b = -0.02 + 0.42. Let i = b - 0.6. What is the second smallest value in c, 0, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 145433 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -2*(1 + (6 - 0)). Let p = -9 - j. Suppose -t = -0*t + 3*d + 10, 5*t + p*d = 0. What are the prime factors of t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 36657774?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*u + 8 = 23 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -2\/3319?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-6)\/12*22 - 2. What are the prime factors of 1 + (-3414)\/(-4) - c\/(-26)?\nAnswer: 2, 7, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -640, -642, -644, -646?\n\"Answer: -2*a - 638","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 180\/(-585) - 138\/(-26)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2032, 4, 1894.\nAnswer: 4, 1894, 2032","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -2*h**2 + 2*h + 2. Suppose 3*b + 3 = 5*f - 0, -3*f = -3*b + 3. Let t be f\/(((-45)\/6)\/(-5)). What is c(t)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2125 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/(-35)*70\/(-14).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000000279563 rounded to 7 decimal places?\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 22 + 3 + (-1806)\/70.\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2788.\nAnswer: 2, 17, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1888 to the nearest integer?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -u**2 - 14*u + 9. Let l be (-2)\/(-5) + 1 + (-492)\/30. What is w(l)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7\/(-1) - (-63 - -60).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 82172, 166829, 251486?\nAnswer: 336143","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 4, q: 4, o: 4, e: 4, r: 3, c: 1}. What is prob of sequence rru?\nAnswer: 1\/285","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 7590?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) be the second derivative of 884*d**5\/5 + d**4\/12 + 1415*d**3\/6 + 1679*d. What is the third derivative of k(x) wrt x?\nAnswer: 21216","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine k so that 3*k**4 + 155955*k**3 + 38225673*k**2 + 2187706953*k - 20027959944 = 0.\nAnswer: -51739, -127, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -546, -450, -306, -126, 78?\nAnswer: 294","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 1, f: 1, n: 4, b: 2, x: 8, g: 4}. What is prob of picking 1 n, 1 k, and 1 b?\nAnswer: 2\/285","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -r**3 + 5*r**2 - 3*r - 1. Let u be l(4). Let a(m) = 6*m. Let p be a(u). Solve -3*n + p = 3*g + 6, -2*g - 5*n = -5 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h + q - 122 = 0, 14 - 264 = -2*h - 5*q. Is 15 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 408 minutes before 6:52 AM?\nAnswer: 12:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5751*c**3 - 28473*c**3 - 18236*c**3.\nAnswer: -52460*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -64 = -3*j + 5*i, 676*j - 22 = 675*j + 2*i. Calculate the lowest common multiple of j and 394.\nAnswer: 3546","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -7.3 + 7.3. Is p != 1\/125?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -50\/679 and 97\/644.\nAnswer: 62468","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 125423510 to the power of 1\/8, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -2*z**2 + 25. Let i(t) = 9*t**2 - 1230*t + 75595. Let f(k) = -i(k) - 2*m(k). Factor f(g).\nAnswer: -5*(g - 123)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1848094 divided by -2.\nAnswer: -924047","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -2*j**2. Let c(l) = -257*l + 7. Let d(y) = 127*y - 3. Let n(x) = -3*c(x) - 7*d(x). What is n(z(o))?\nAnswer: 236*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**(-10)\/r*r)\/r**(1\/9))**(-36) assuming r is positive.\nAnswer: r**364","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = b**2 + 143*b + 1328. Let o be c(-10). What is the nearest to 636 in o, -0.5, -1, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) be the second derivative of -j**6\/120 + j**5\/30 - j**4\/24 - 65*j**2 - 2*j - 66. Let b(u) be the first derivative of z(u). Factor b(r).\nAnswer: -r*(r - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3.7 - 0.7. What is the closest to 2\/3 in n, 0, -3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 19\/303212 and 53\/20179.\nAnswer: 359912644","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = 69175*r - 35. Let o(t) = -7687*t + 4. Calculate -35*o(d) - 4*s(d).\nAnswer: -7655*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -k. Let r(m) = -2907*m**2 + 5*m - 6. Give x(r(o)).\nAnswer: 2907*o**2 - 5*o + 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w and 2 b when three letters picked without replacement from wbbbqhqxbxqzbx?\nAnswer: 5\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -65 + 175. Is r a multiple of 55?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = p + 3. Let b(m) be the third derivative of -m**3\/6 + 238*m**2. Let q be (-193)\/(-3) - 1\/3. Let f be 27\/4 - (-16)\/q. What is f*b(k) + 2*i(k)?\nAnswer: 2*k - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-2)\/(-4) - 22\/4. Suppose -6*d + 22 + 38 = 0. Let c = d - y. What is the units digit of c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 35 + (-15 - 16) + (-27 + 2 - (7 + -12)).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 22237014?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) be the second derivative of 0*y**2 + 0 + 1\/2*y**3 + 2*y. Let m(g) = -13*g. Determine m(h(q)).\nAnswer: -39*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11 - 10000111100?\nAnswer: -10000111111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 4 (b) 620 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) be the third derivative of p**5\/15 - 136*p**2. Let d(s) = -2*s + 3. Let c(v) = -10*v + 14. Let n(q) = -3*c(q) + 14*d(q). Give l(n(j)).\nAnswer: 16*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 251 + 1293 + 253 + 250 + 7*b - 2047.\nAnswer: 7*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 1402 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: Put -131, 4, 2, 18, -3 in ascending order.\nAnswer: -131, -3, 2, 4, 18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) -2\/11 (b) -4\/79 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 49610, 49834, 50428, 51572, 53446, 56230?\n\"Answer: 30*h**3 + 5*h**2 - h + 49576","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y - 4 = 4*h - 0*y, 3*y = -15. Let -5*f**2 + 8*f**3 + 81*f**h - 76*f**4 - 10*f + 2*f**3 = 0. Calculate f.\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -14 + -122004?\nAnswer: -122022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 0, 7, 18, 33, 52, 75, 102?\n\"Answer: 2*c**2 + c - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) be the second derivative of -w**6\/45 - 31*w**5\/10 - 46*w**4\/9 + w + 380. Determine q so that k(q) = 0.\nAnswer: -92, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 1123 + 0*v - 561 - 169*v**2 - 560 - 11*v**3 + 0*v in the form a*v**2 + b*v + p + g*v**3 and give b.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 62\/27 and -71\/27?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 4 and 18?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -7 (b) -6 (c) 1 (d) 0 (e) -1\/4 (f) -1\/28\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -2*x. Let n(a) = -26062*a. Determine w(n(i)).\nAnswer: 52124*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 5 - 4 - (-102)\/12*6. What is the closest to g in 3, 0, -0.4?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14772759 is divided by 1393.\nAnswer: 1387","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -41\/550 and -83\/70?\nAnswer: 3850","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Do -40.6 and 30 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1415104?\nAnswer: 2, 22111","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = 1 - f + 0*f - 3. Let y(l) be the first derivative of 21*l**2\/2 + 25*l - 69. Let p be y(-1). What is t(p)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27*v + 13762 + 1736 = 0. What is the tens digit of v?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2419 is divided by 855?\nAnswer: 709","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1 + 537.2?\nAnswer: 537.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -22062 + 44121\/2. Which is the second biggest value? (a) -3\/299 (b) -0.5 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in seven halves of a century?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 f and 2 y when four letters picked without replacement from {y: 9, f: 3}.\nAnswer: 12\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 41370688733 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -95.667 to the nearest 10.\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 425731.9 meters to nanometers.\nAnswer: 425731900000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0005224222 rounded to five dps?\nAnswer: -0.00052","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = 7*g**2 + 447*g - 3442. Determine z(8).\nAnswer: 582","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -15 - -13. Let g be (-4 - -1)\/(y + 1). Let u be (g\/6)\/((-4)\/(-16)). Which is the second smallest value? (a) -3 (b) -1 (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 19727*m + 14947?\nAnswer: 19727","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/5 in -52, 179, -469\/6?\nAnswer: -52","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*f - 0*f - 51. What is the remainder when 49 is divided by f?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 122 + -136.9. Let o = 17 + t. Round o to 1 decimal place.\nAnswer: 2.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*r + 9*b - 14*b = -35, 1 = 4*r + b for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*k + 2*d - 20 = 3*k, 3*k - 2*d - 15 = 0. Let a = -3 + k. Suppose -a + 9 = y. Calculate the greatest common factor of 28 and y.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*k**2\/7 + 196236*k\/7 - 46732608\/7.\nAnswer: 4*(k - 237)*(k + 49296)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sum 2527430 and -0.059.\nAnswer: 2527429.941","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8853?\nAnswer: 3, 13, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -142 + 632 = 5*t. List the prime factors of t.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:44 PM and 10:40 PM?\nAnswer: 416","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 21 - -6. Let h(w) = -57*w**3 + 3*w + 2. Let v be h(-1). Let t = v - k. What is the remainder when t is divided by 15?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 67030*i**3 - 3*i**2 + 91121 wrt i.\nAnswer: 201090*i**2 - 6*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 55, 106, 169, 250, 355, 490, 661, 874?\nAnswer: 1135","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:55 PM and 1:07 AM?\nAnswer: 372","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 868074.\nAnswer: 2, 3, 149, 971","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.119 - 12.381. Let v = -12.2 - m. Let l = -3.3 + 2. Are v and l non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2669\/387 + -287\/43. Which is smaller: -1916 or d?\nAnswer: -1916","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 20 + -13. What is the remainder when 19 is divided by c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m = 5*v - 9 - 4, 25 = 4*m - v. Suppose 0 = -s - 2*s + m. Put -11, -1, s, -5 in decreasing order.\nAnswer: s, -1, -5, -11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 12239505 by 86805.\nAnswer: 141","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -309.8 * -24\nAnswer: 7435.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + 58 = -30. Suppose -z = -i*z + 147. What is the closest to 1 in -4, z, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.4 + 7839315170.\nAnswer: 7839315170.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j - 3 = -0. Let r = 0 - -2. Put -4, r, j in decreasing order.\nAnswer: r, j, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -p**3 + 2*p**2 + 100*p + 7. Let x be a(-9). Let m be (6\/(-46))\/((-6)\/4). What is the smallest value in m, -1\/11, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 112039025 to the nearest integer?\nAnswer: 482","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 16 and 38948432.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = 20659*c - 3577. Let a(n) = 81*n - 14. Let z(u) = -1533*a(u) + 6*x(u). Let p(g) = 21*g**2. Calculate z(p(r)).\nAnswer: -4599*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 498576 and 15558927.\nAnswer: 2397","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*t = -4*t + 2. Let g = t - 11. What are the prime factors of ((-2)\/(-4))\/((-2)\/g)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*r - 118 = 718. Is -118\/3 at least r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 18, 20, 20, 18, 14?\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -63, -205, -427, -723, -1087, -1513, -1995?\nAnswer: -2527","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2464764 by 616191.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -21*h - 2*h + 4*h - h**3 + 7*h - 4 + 13*h**2 + 4*h to g + x*h**3 + k*h**2 + o*h and give k.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -7*t - 2 - t**2 + 6 + 5. Let l = 24 + -32. Let y be h(l). Is 2\/23 bigger than y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 266184, -3, -5, -4, -2, 0 in decreasing order.\nAnswer: 266184, 0, -2, -3, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(152)\/sqrt(2)*-2.\nAnswer: -4*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 83\/410 and -17\/50.\nAnswer: 2050","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -29*g**4 - 21*g**2 - 69060*g wrt g.\nAnswer: -348*g**2 - 42","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/11, 0.083, -1, -3, -39.\nAnswer: -39, -3, -1, 0.083, 2\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 73448816?\nAnswer: 2, 7, 43, 101, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -15*v**2 - 4*v - 3. Determine m(-1).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -1 + (-647)\/(-333) + (-438)\/8103. Let o(w) be the first derivative of 4 + 0*w**3 - 1\/9*w**4 + 2\/3*w**2 - n*w. Solve o(i) = 0.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -99 = 2*k + 2*i - 87, 2*k + i + 12 = 0 for k.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-54)\/(-126)*(-1 + 2\/6). Let x be (-4)\/20 - 17\/(-10). Let d = -13 - -18. Which is the second smallest value? (a) p (b) d (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -19 + 1447*m**2 - 152*m**4 - 1449*m**2 + 26 in the form x + j*m**2 + n*m**4 + t*m + g*m**3 and give x.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-12)\/(-2) + 4950\/(-360) + 7. Does -3 = g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-19 - -12) + 855\/99?\nAnswer: 18\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 44598?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 532156820?\nAnswer: 2, 5, 13, 43, 47599","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -78 + 76. Let l be 4 - y*(-3 - -2). Solve -l*f - 5*s - 37 = f, 2*f = -2*s - 18 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 1696?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = 2*l**3 + 5*l**2 + 9. Suppose -72*o = -18*o + 96 + 66. Determine y(o).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = 2*d - 131. Let h be v(0). Let u = -51 - h. What is the remainder when u is divided by 27?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = 16*r + 10. Let l be k(-1). What is the smallest value in -1\/2, 2\/11, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1462654 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -1\/1080 and 95\/26.\nAnswer: 14040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 (base 15) in base 11?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3304443076 rounded to 5 dps?\nAnswer: -0.33044","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) be the second derivative of 0 + 3\/4*l**2 + 8*l - 7\/8*l**3 + 5\/16*l**4. Suppose i(q) = 0. Calculate q.\nAnswer: 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -158, -179, -214, -269, -350, -463, -614?\nAnswer: -809","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from smbesb. Give prob of picking 2 b.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -76 divided by 14709\nAnswer: -76\/14709","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -272845532640672 take away 2?\nAnswer: -272845532640674","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/7 in 1\/4, -52, -5, -2, -104?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/5, -1\/20043, 4, -2\/17, -0.5 in increasing order.\nAnswer: -0.5, -2\/17, -1\/20043, 2\/5, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3 by 2192.\nAnswer: 3\/2192","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -19046*g**6 + 2*g**5 - 214*g**2 - 859*g.\nAnswer: -2285520*g**3 + 120*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = n + 7. Let r be b(-4). Suppose -r*q + 18 = -5*v, 2*q - 6*q + 24 = v. Suppose 18 = -q*a + 7*a. Solve 5*d = s + a, s + 5*d = 5*s + 12 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 16\/(-6)*(-36)\/24. Suppose 0 = l*f - 168 + 112. Solve -3*b = -5 + f for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -177 = -6*w + 555. List the prime factors of w.\nAnswer: 2, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mvy when three letters picked without replacement from {v: 4, y: 2, a: 1, m: 10, u: 2}.\nAnswer: 40\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -4457a (base 12) to base 14\nAnswer: -25086","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7173 is divided by 34?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 1118?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 71299 a multiple of 37?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 29\/36 and -71\/8276?\nAnswer: 74484","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2*(-13)\/((-1755)\/(-615)) - -10.\nAnswer: 8\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -23.044 - -0.044. Let u = -23 - d. Let m = 2 - 0. What is the nearest to u in 3\/4, -3, m?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = 79*j - 7. Let h be f(1). Let b be (h\/105)\/(8\/28 - 0). What is t in -18\/5 - 2\/5*t**2 - b*t = 0?\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 10*f - 52. Solve -4*d + 5*x + 14 = 0, -f = -0*d - 4*d + x for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 + (-1 - (0 + -11)) + 57 - 13.\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -65547*a**2 + 62037*a**2 - 4 + 4 as m*a**2 + v*a + j and give m.\nAnswer: -3510","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is ((8\/36)\/(944\/7080))\/((-28)\/3)?\nAnswer: -5\/28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -2011 + 303313?\nAnswer: 301302","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -v + 2*v. Suppose 65*r - 11 = 4*g + 64*r, 0 = 4*g - 2*r + 14. Sort 2, v, -8, g.\nAnswer: -8, g, v, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -10 + 624*s**3 - 623*s**3 + 3*s - s**2 - 36 - 16 - 2*s**4 to the form d*s**4 + a*s**2 + f*s + h*s**3 + k and give a.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 28 or -21\/22?\nAnswer: -21\/22","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pxllp. What is prob of sequence ll?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 797354746.\nAnswer: 2, 7621, 52313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 40 + -50. Let o = -0.08 - -1.08. Which is the biggest value? (a) o (b) h (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 561296777 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express -x**3 - 6*x + 1492 + 2*x**4 + 3*x - 1500 - 354*x**2 + 355*x**2 as q*x + m*x**2 + v*x**4 + z + f*x**3 and give v.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 997.22 to the nearest ten.\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 1428 divide 5694173691?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -6*c + 27. Let f be v(-8). Let r = 72 - f. Is r greater than -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 545644 and 408?\nAnswer: 55655688","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wxxktrwet. Give prob of picking 1 k and 1 r.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -4 (b) -199 (c) -8 (d) 0.27 (e) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2\/271 + 267\/542. Which is the second biggest value? (a) 5 (b) u (c) 2\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0 - -2. Let g(x) = x**3 + 4*x**2 - 7*x - 7. Let o be g(-5). Suppose -2*q = o*q - 20. Calculate the smallest common multiple of f and q.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11 divided by -578.\nAnswer: -11\/578","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -661, -1244, -1827?\n\"Answer: -583*g - 78","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.4, -1.1, 32\/87?\nAnswer: -1.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c + 4*h + 1100 = 0, -5*c + 5*h + 3679 = 914. Let t be c\/14 - (-8)\/28. Let p = 19 + t. Is p a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*m + 23*m + 882 = -4*q, -5*q + 1345 = 3*m. Is 21 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -2*h. Let p(s) = 8816797*s**2. Calculate p(w(x)).\nAnswer: 35267188*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-2 + 117\/57)\/(2\/(-45)) and 8.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 37 + -22. Let u(f) = 28*f - 1. What is the remainder when u(1) is divided by t?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p = 4*p - 8. Suppose -5*b + 40 = -2*i, 246*b - 2*i - 34 = 242*b. What is the greatest common factor of b and p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1297 less than -11\/75?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2525 - 2523. Find s such that -3\/5 + 6\/5*s**3 + 6\/5*s**l - 3\/5*s - 3\/5*s**5 - 3\/5*s**4 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**(-2)\/(l*l*l**(-1)*l)*l*l**(2\/5)*l\/(l**(-2\/3)*l) assuming l is positive.\nAnswer: l**(-29\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1603*o**2 - 2*o - 161.\nAnswer: -3206","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 3209 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -6*a - 38. Let z(t) = -t**2 - 8*t - 2. Let k be z(a). Let y = -59 + 139. Calculate the greatest common factor of y and k.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 25523 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -13969\/6 - -2338. Let x = j + -109\/12. Solve x*k**2 + 12 + 6*k = 0.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 22710 and 180?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express -7*t**3 - 7*t**3 + 9330*t**2 - 2926*t**2 + 17*t**3 as o + r*t + v*t**3 + p*t**2 and give v.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert -21 (base 8) to base 16.\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 + 1)*((-33)\/6 + 5)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -48.89 - -49.09. What is the second biggest value in 667, -2\/9, -4, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: 1105065 (base 7) to base 11\nAnswer: 93385","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2 - -4. Factor -s*p**3 + 0 + 3*p - p**4 + 1 - p.\nAnswer: -(p - 1)*(p + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) be the first derivative of -25*g**3 - 59. Let l(o) be the third derivative of -o**5\/30 - 4*o**2. Determine l(f(p)).\nAnswer: -11250*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7 + (-4 + -5 - 0).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -4275 - -4285. Suppose -6 + 2 = -r. Suppose -r*v - 3*h + 1 = -1, -2*h + 6 = 5*v. Calculate the remainder when f is divided by v.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-1)\/((-2)\/3 - -1). Let a be (-8)\/(-8 + -16) + 6\/(-14). Let z = a + -13\/84. Sort g, z, -2\/7 in ascending order.\nAnswer: g, -2\/7, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*o + o = 0. Suppose -g + 6*g - 5*b = 30, o = 4*g + 3*b - 38. What is the remainder when 86 is divided by g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (4 - (-21)\/15) + (2 - (8 + 0)). Put -359, a, -1, -0.3 in descending order.\nAnswer: -0.3, a, -1, -359","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = 3*i + 9. Let x(q) = 4*q + 2. Let p(h) = 3*h + 2. Let d(y) = -3*p(y) + 2*x(y). What is -9*d(u) - 2*n(u)?\nAnswer: 3*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1280, 1274, 1268, 1262?\nAnswer: 1256","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 38*s**2 - 148*s - 16 = 0. What is s?\nAnswer: -2\/19, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*p**2 - 5*p**2 + 2*p**2 + (-2 + 2 + 2*p)*(-p - 2*p + 2*p) - 4*p**2 + 3*p**2 + 0*p**2 - 3*p**2 - 2*p**2 + 0*p**2.\nAnswer: -7*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 71\/101755?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*s = 3*h + 2, 0 = 3*s - 7*s - 2*h - 2 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -6778, -54119, -182610, -432823, -845330, -1460703?\n\"Answer: -6762*v**3 - 3*v**2 + 2*v - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 16 + (-8 + -16 - -12).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 3 (b) -0.06 (c) -1 (d) 1086 (e) -33.98\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*d - 8961 = 30927. What is the units digit of d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.306 + 0.30597885. Round t to five dps.\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (4\/(-2) + 0)*22\/((-352)\/8664) is divided by 536.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eeee. What is prob of sequence ee?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 43923*t**3 - 44817*t**3 + 2*t**2 - 2*t**2.\nAnswer: -894*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = 4 + 6*j + 0*j - j**2 - 2*j + 2. Let f be y(7). What are the prime factors of f\/12*16\/(-2)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -798 times 0.188059\nAnswer: -150.071082","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*sqrt(2299)*2 + -5 - (-3 + (sqrt(931) + (sqrt(931) + 0 - sqrt(931)) - sqrt(931)) + 5))**2.\nAnswer: -1540*sqrt(19) + 229949","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 59*o - 40 = 54*o. Solve -9*t - 3 = -o*t for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 28 and 230348622.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*sqrt(19)*-3 - (-3*(-2 + sqrt(19))**2 + sqrt(19)).\nAnswer: -10*sqrt(19) + 69","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3.2 - -1.6. Let k = 1.5999996 + m. What is k rounded to 6 decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 710, 1427, 2146, 2867, 3590?\n\"Answer: f**2 + 714*f - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -3*f. Let u be (-404)\/(-707) + (0 - (-48)\/14). Let k(w) = -2*w. What is u*k(b) - 3*d(b)?\nAnswer: b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2.65 - -2.585. Let a = v - 0.235. What is the nearest to 0.2 in 3, a, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3016*m - 3008*m + 56 = 0 for m.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 7616968.393 to the nearest 10000.\nAnswer: 7620000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -948847 + 405097. What is y rounded to the nearest ten thousand?\nAnswer: -540000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (45\/30)\/((-4)\/(64\/(-6))). Let n = 13 - 11. Which is the second smallest value? (a) -8 (b) z (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 1, m: 1, j: 1, t: 2, z: 1, c: 1}. Give prob of sequence ztyt.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*x + 26 = -h, 3*h + 2*x + 206 = 220 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -328 or -329?\nAnswer: -329","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*f + 9*y - 10*y + 3 = 0, -4*f + 5*y - 1 = 0 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3\/503 or 0?\nAnswer: -3\/503","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4404?\nAnswer: 2, 3, 367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (d + 0 - 2 + 0*d)*(1 + 0 + 0 + (0 + 3 - 5)*(3 - 2 + 1) + 2 - 3 + 0 - 4 - 3 + 6 - 16 + 73 + 21).\nAnswer: 73*d - 146","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*g + 0*g + 2*g**4 + g**4 + 4*g**4 + 4*g**4 + (-2*g**3 - 4 + 4)*(2*g + 2 - 2) + 2*g**4 - g**2 + g**2 to b*g + t*g**3 + a*g**4 + u*g**2 + i and give i.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000092678 to five decimal places.\nAnswer: 0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-24)\/(-18) - (-5)\/3) + 2. Which is the nearest to -0.1? (a) v (b) -0.02 (c) -6 (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -965205, -965203, -965203, -965205, -965209, -965215?\n\"Answer: -d**2 + 5*d - 965209","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -135 = 2*q + 55. Let j be q*-3*(-2)\/(-2). Suppose w = 4*w - j. Is w prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 59911*w**3 - 2343*w**2 + 71*w - 559565?\nAnswer: 359466*w - 4686","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = 2*l**2 + l - 1. Let b be p(1). Suppose -7*w - 19 - 16 = 0. Let f(z) = z**3 + 5*z**2 - 2*z - 10. Let n be f(w). Solve -4*k + 2*k + b = n for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = 2*b**2 + 459471*b - 2756892. What is r(6)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 2, l: 1, i: 1, p: 1, r: 9, y: 1}. What is prob of sequence yih?\nAnswer: 1\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5 + -3 - 11) + (12 + 22 - 5) + 13.\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2168359 or -2168358?\nAnswer: -2168359","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*(sqrt(847)*-1 + 5))**2 + 0)*-1.\nAnswer: -872 + 110*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -141 (base 10) in base 9?\nAnswer: -166","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -104257\/195510 - 1\/13034. Let c = 0.7 - -0.2. Let j = 0.1 + c. Is j equal to p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 12, -4, -2\/7, -1?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = w**3 + 6*w**2 - 6*w + 9. Let g be y(-7). Suppose -v - g = 3. Let f(b) = 8*b**2 - 4*b + 1. Is f(v) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -770831, -1541659, -2312483, -3083303, -3854119, -4624931, -5395739?\n\"Answer: 2*x**2 - 770834*x + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = 3*y**3 - 88*y**2 - 67*y - 141. Calculate x(31).\nAnswer: 2587","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/x**(-1))**8*(x\/(x\/x**(-1\/3)))**(-1\/46) assuming x is positive.\nAnswer: x**(2209\/138)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10012 (base 4) to base 16.\nAnswer: -106","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*v + 24*v - 4*v - 7*v - 10*v.\nAnswer: -7*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z - 3*c - 21 = -4*z, 5*c + 27 = z. Suppose -11*t = 2*b - 7*t - 1998, -2*t - 1968 = -z*b. What are the prime factors of b?\nAnswer: 23, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 37 + -16a13aa?\nAnswer: -16a1373","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 576 and 128.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = 21*h**2 + 3*h - 5. Suppose -35*i - 18 = -41*i. Does 17 divide s(i)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve h + 5 + 3 = 11 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1\/5 (b) 0.3 (c) -0.13 (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7528 is divided by 90.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 19938?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-18)\/(-4))\/(15\/30). Suppose -5 = -10*x + h*x. Let d = 0.36 + -0.34. What is the biggest value in d, -0.4, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = 4*c**2 + c - 1. Let i be q(1). Suppose -2*t = y + i, 2*y = -3*y + 4*t + 36. Suppose 4*d - y + 0 = -2*l, 0 = -4*d - 16. What is the tens digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 4\/(-141)*(-1467)\/57. Let i = l + -17\/47. Let y = -2\/57 + i. Which is the closest to 1? (a) -4 (b) y (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 705, 1911, 3729, 6003, 8577, 11295?\nAnswer: 14001","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 41976 is divided by 1553?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 140 is divided by 36?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -2*x + 17. List the prime factors of x.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 2, l: 4, p: 7, w: 1, o: 4, g: 2}. Give prob of sequence xl.\nAnswer: 2\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -787355 divided by -5\nAnswer: 157471","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 l and 2 m when four letters picked without replacement from mluulllllummlmul?\nAnswer: 6\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2050 is divided by 114.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12909*x + 12950*x = -205 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1873819197?\nAnswer: 3, 19, 3652669","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*r**3 - 78*r**2\/7.\nAnswer: -2*r**2*(7*r + 39)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1\/343 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -787, -1572, -2341, -3088, -3807?\n\"Answer: n**3 + 2*n**2 - 798*n + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 51 - (-33 - -53 - -13)\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w - 5 = -2*r + 33, 3*w + 4*r - 110 = 0. Let z be (7 + -4)*w\/3. Suppose 0 = -5*c + z + 691. Is c composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -201 and 284.\nAnswer: -57084","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*h = b - h, -b - 30*h - 2 = -27*h + 2 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -6*m + 2*m + 3*m + 1. Let t be b(-1). Suppose y - 4*y - 42 = -3*v, -t*v + 5*y + 40 = 0. Solve 2*z = s - z - v, -4*s - 4 = -z for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5 - (-3 - 121) - 2) + (-14 + -26 - -28).\nAnswer: 115","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -c**2 + 8*c - 6. Suppose -2*m = -3*d + 48, d = 3*d - m - 31. Let f(q) = -2*q**2 + 17*q - 12. Let z(p) = d*h(p) - 6*f(p). Solve z(j) = 0 for j.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 3\/7421?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 4\/8*(2 + -2). Solve h = p + 4*p + 5 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5331 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put -10, 2\/9, 18, -3 in increasing order.\nAnswer: -10, -3, 2\/9, 18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-18*r + 18*r + r**2 - 21)*(-18 + 18 - 42*r**2) + 3*r**4 - 2*r**4 + 0*r**4.\nAnswer: -41*r**4 + 882*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -12059769, -12059768, -12059767?\nAnswer: -12059766","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6545 = 597*o + 294*o + 44*o for o.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zt when two letters picked without replacement from nnznnnzzzzzzznt.\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wrbvvbki. Give prob of picking 2 b.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n - 6 + 0 = 0. Let x be 1\/n + 440\/30. Is (-38)\/(-3*10\/x) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 2\/15 (b) 0.0172 (c) 2 (d) -434\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(136) - (sqrt(136) + sqrt(136)*-1 + sqrt(136)))*2)\/(sqrt(256)\/sqrt(2)))**2 + -5.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1425793 is divided by 180?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -4*c**2 - c + 1. Let p be y(1). Let v = p + 9. Suppose 68 - 60 = 4*g. Solve g*o + 9 = v*o for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -5*o - 7*o - 6*o + 22*o - 13*o. Let k(f) = -3*f - 16. What is k(a(g))?\nAnswer: 27*g - 16","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -2*d + 19. Let y be j(-8). Let a = -24 + y. Does 11 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + 5 = -5*j, 0*j = 3*j + 3*p - 15. Let s(g) = -4*g + 2. Let m(q) = -7*q + 4. Let t(l) = 3*m(l) - 5*s(l). Let n be t(3). Which is smaller: n or j?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13754 divided by -1203?\nAnswer: -13754\/1203","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -121202112 - -1101212?\nAnswer: -120100200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n - 50 = 2*n. Let a be n\/(-20)*(0 + 6). Suppose 2*q = 3*q + 3*v - 59, -a*q - 5*v = -169. Is q composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 76\/5 of a microgram?\nAnswer: 15200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4 + (-8)\/4)\/(15444\/(-22230) + 8\/10).\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*b - 5*b + 2*b)*(-b**2 - 7*b**2 + 4*b**2) + (-10*b**3 - 2*b**3 - 5*b**3)*(2 + 1 - 2) to f*b**2 + t*b**3 + l*b + q and give t.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z - 4*d + 3780 = d, 2*z - 1512 = 2*d. Suppose -2*o + z = -5*t, 8*t - 4*t - 1824 = -5*o. What is the units digit of o?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -13876 + 13876. Solve -2*u + 2*y + 14 = w, -33 = 2*u - 8*u + 3*y for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor o**4 + 23735*o**3 + 47467*o**2 + 23733*o.\nAnswer: o*(o + 1)**2*(o + 23733)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1421?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.0179 + 208.0179. Let d = 241.4 - f. Round d to the nearest 10.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1580332591 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -141\/49 (b) 0.4 (c) 0 (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*h = -j - 15, -149*j + 4*h = -147*j + 16 for j.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = 3*j - 25. What is c(9)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -y - 3*y + 3*y + (-3 - 3 + 4)*(-2*y + 4*y - y) + y + 0*y + y.\nAnswer: -y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -58086 or -58083?\nAnswer: -58083","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 136 and 15368?\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) be the third derivative of -3*f**2 - 1\/20*f**5 + 0*f**4 + 0*f**3 - 16*f + 0. Let p(o) = -o**2 - 1. Calculate x(p(q)).\nAnswer: -3*q**4 - 6*q**2 - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = 15*r**2. Let v(a) be the second derivative of -26 - 1\/3*a**3 + 0*a**2 + a. Determine v(w(k)).\nAnswer: -30*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 18, -1\/3, 72, -3.91?\nAnswer: 18","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 2 - 3)*(-f - 3*f + 6*f + (3 - 1 + 0)*(-f + f + 2*f)).\nAnswer: -12*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = 15*b**5 - 5*b**4 + 9*b**2 - 5. Let w(t) = -16*t**5 + 6*t**4 - 9*t**2 + 6. Let s(m) = -5*w(m) - 6*y(m). What is the third derivative of s(v) wrt v?\nAnswer: -600*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 - -2 - 1 - (-82 + 18) a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 21812020 and 340?\nAnswer: 340","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/x**0*x**(-8))**8 assuming x is positive.\nAnswer: x**(-56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is w in 3*w**2\/7 + 53984892*w\/7 - 53984895\/7 = 0?\nAnswer: -17994965, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 120*o - 115*o - 14245. What is the units digit of o?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r - 23 - 15 = x, 30 = 3*r - 3*x. What is the second derivative of -3*z - r + 7 + 0*z - 2*z**4 wrt z?\nAnswer: -24*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1071*g + 3620*g + 89129 = 0 for g.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h = -8*h + 228. Let o = -56 + h. Let n be o\/(-8) + 170\/80. Put 10, 4, n in increasing order.\nAnswer: n, 4, 10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l - 70 = -5*u, 4*l + 3*u = -0*u + 229. Is 38 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4603 to the power of 1\/6, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 56 - 394\/7. Let j = -0.024 + -6.576. Let y = j + 7. What is the nearest to k in 0.3, 5, y?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-8)\/(-16) - (-2 + 15\/(-2)). Solve -5*n + 2*w - k = 0, -w + 5 = -5*n + 2*w for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-765)\/25)\/17)\/((-8)\/((-1000)\/(-15)))?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.1 (b) -696 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(1\/4))**(2\/75)\/(t**(2\/3)\/(t*t*t\/(t**(4\/5)\/t*t*t*t))) assuming t is positive.\nAnswer: t**(-23\/50)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -272*i**2. Let n(q) be the first derivative of -q**3\/3 + 208. Give r(n(j)).\nAnswer: -272*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 68018.848 rounded to the nearest 10?\nAnswer: 68020","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -8974, -17930, -26886, -35842, -44798, -53754?\n\"Answer: -8956*r - 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -3 - (-11 - (3 + -4)) - 5\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 64\/7 - (-6)\/7. Let k(v) = -v**3 - 5*v**2 - 4*v + 5. Let w be k(-4). Solve 0*b = w*b + m for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 - 5*g + 2*g + 3*g + 2*g**3 + 41*g**2 to the form a*g**2 + h + k*g**3 + c*g and give h.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*h + 2*h - 5*h)*(0 - 3 + 8)*(4 - 5 - 2 + (2 - 5 + 1)*(4 - 2 + 0)).\nAnswer: 245*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(17) + (sqrt(17) + sqrt(17) + -3)*2 + 2*sqrt(153) - (-4 + (2 + sqrt(1377))**2*6).\nAnswer: -8288 - 205*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*sqrt(121)*-3)\/sqrt(11) - 6*(sqrt(66)*3)\/sqrt(6))**2.\nAnswer: 891","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 18648*w**4 + w**3 - 2*w**2 + 3*w - 6482 wrt w?\nAnswer: 223776*w**2 + 6*w - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 60087 (base 14) to base 6\nAnswer: 4535355","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = l + 88. Let b(c) = 17*c. Calculate b(s(j)).\nAnswer: 17*j + 1496","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -f**3 + f**2 + 5*f - 11. What is o(2)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0 - 2. Let f = s - -3. Let x = 1.2 - f. Which is bigger: 1\/3 or x?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 60 + -30. Let g be -1 + 1 + 6 + 2. Let u = g - 5. What is the greatest common divisor of z and u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -3*f**3 - f**2. Let y be c(-1). Suppose t + y = 2*t. Let l(v) = -6*v + 5. Let s be l(2). Is t <= s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000065631 to 6 dps.\nAnswer: -0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -111 + 79. Let v = -3 - t. Let n = -29.1 + v. What is the smallest value in n, 0.01, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-861)\/(-861)*2\/10\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3\/((-1)\/(-12)*-4).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 277*l - 1019 - 1137 = 2276 for l.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = 3*m - 3*m + 2*m - 3*m. Let o(j) = -9*j**2 - 3*j + 3. Let h(x) = 0 + 17*x**2 + 2*x - 5 + 3*x. Let u(b) = -3*h(b) - 5*o(b). Calculate q(u(l)).\nAnswer: 6*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1602216*w**3 - 4*w**2 + 1602095*w**3 + 3*w**2 + w**2.\nAnswer: -121*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 5*u + 4 = -11, 2*u + 14 = 2*x. Suppose 8 = x*b - 3*b. Let j be 66\/15 - 10\/25. What is the greatest common divisor of j and b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (10\/(-6))\/((-4)\/6)*(-59422)\/(-20075)?\nAnswer: 37\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -14.29 - -36.79. Round f to the nearest ten.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*i + 312 = -2*i. Let g = i + -46. Suppose 0*q - g = -4*q. Solve 0 = -2*l - 0*l - q for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-2 - 2) + 2)\/(-64 - -36). Which is smaller: u or 0.1?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 78, -194, -2, -0.4, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 20561629?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find i such that 3*i**3\/10 - 134884*i**2\/5 - 8725701*i\/10 + 593703 = 0.\nAnswer: -33, 2\/3, 89955","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 29 and 208423?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -9*r**3 - 4 + 0 - 2 with respect to r.\nAnswer: -27*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1252 + 705. Let z = c + 547.00001322. What is z rounded to six decimal places?\nAnswer: 0.000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) be the third derivative of -w**4\/12 + 43*w**2. Let m(y) = 3*y + 6. Give m(k(n)).\nAnswer: -6*n + 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 0.3 (b) -3\/4 (c) 0.8 (d) 2 (e) 0 (f) -1\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/(8\/(-1)*(-61)\/9272)?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u = 10 - 4. Let r(c) = -10*c + 24. Let p be r(u). Suppose 2*v + 19 = 2*d + 1, -4 = p*v. Solve 2*j = -d - 2 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -b**3 - 8*b**2 + 7*b - 12. Let i be d(-9). What is the highest common divisor of i and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.04 - -4.04. Let s = -163 - -168. Sort z, s, 0.4 in ascending order.\nAnswer: 0.4, z, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -1 + (-22)\/(-18) - (-56)\/(-171). Let d = 4\/205 - 462\/2665. What is the closest to 2\/5 in v, d, 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 v and 1 b when three letters picked without replacement from vvvbvbbbbbvb?\nAnswer: 7\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f = -16*f + 55. What is the second derivative of 17*n + 1664 - 1664 + f*n**3 wrt n?\nAnswer: 30*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (46*d**3 + 53*d**3 - 65*d**3)*((0 + 2*d + 0)*(-2 - 1 + 1) + 5 - 5 - 6*d).\nAnswer: -340*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -309 + 456. What is the remainder when n is divided by 10?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 416 minutes after 10:57 PM?\nAnswer: 5:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5417?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + (sqrt(288) - (sqrt(288) - (2 + sqrt(288)))) + (sqrt(1152) - -2*sqrt(1152))**2 + -1)*1.\nAnswer: 12*sqrt(2) + 10370","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -785, -5, -10797, 3 in increasing order.\nAnswer: -10797, -785, -5, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 259 + -236. Solve 2*v - 4*r = v - s, 9 = 2*v + 3*r for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 256*w - 550*w = 440*w + 27*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6476270986?\nAnswer: 2, 257, 419, 30071","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + 15 + 4 + 5 + -5 + 1.\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = 2*f + 0*f - 8 + 104. Suppose 5*v = -20, -148*v + 150*v = -d - 8. Let u be p(d). Calculate the greatest common divisor of 32 and u.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 374 minutes after 7:21 PM?\nAnswer: 1:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -203.9 + 204. What is the nearest to m in -2, 7, 0, 0.5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 17836830?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = k**2. Let t(r) = -1057*r**2. What is h(t(g))?\nAnswer: 1117249*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 4721502073 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*a - 14*a - 436 = 0. Is a prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 10610, 10666, 10722, 10778, 10834?\n\"Answer: 56*y + 10554","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -2 + 29*p + 37*p + 1 - 25*p**2 - 66*p. What is c(-1)?\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1064 + -1062. Solve 0 = 2*i + l*g - 10, 320 - 302 = 4*i + 3*g for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 197939 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-108)\/(-729)*3 + (-308440)\/(-18).\nAnswer: 2, 3, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1704691309 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -10133809.369 + 10133901.36899929. Let n = m - 92. Round n to seven decimal places.\nAnswer: -0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.3 (b) 3\/7 (c) -2 (d) 37\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = 9*l**2 + 2. Let w(p) = -1. What is -s(v) - 5*w(v)?\nAnswer: -9*v**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.3 times 363.5434?\nAnswer: -836.14982","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -130 + 187. Let c = 393 + -360. What is the remainder when q is divided by c?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -12453 - -12536. What is the second biggest value in 4\/27, v, -4?\nAnswer: 4\/27","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2740 a factor of 3962853637?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -5*j**2 + 30*j. Let f be b(6). Let t = 0.6 - 0.3. What is the biggest value in t, 1\/2, f?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**41*i*i)\/i)\/i**(1\/6)*i**(-8\/9)*i**(6\/7)\/i assuming i is positive.\nAnswer: i**(5141\/126)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1459 - 94. List the prime factors of o.\nAnswer: 3, 5, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = 4*p**2 - p - 3. Let f be h(-2). Let r(y) = 4*y - 45. What are the prime factors of r(f)?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -21.8 + -80.2. Let v = -102.3 - o. Which is the third biggest value? (a) -3\/7 (b) 0.1 (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of m**3 - 902450*m**2 - 3*m + 10927991?\nAnswer: 3*m**2 - 1804900*m - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 12309, 17089, 21869, 26649?\n\"Answer: 4780*n + 7529","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2\/7 (b) 111\/364 (c) 1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:54 AM and 7:32 AM?\nAnswer: 398","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1.3 + 1. Let q = 187\/5 - 37. Let y = 0.2587 + -0.0587. Which is the closest to y? (a) -0.4 (b) l (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*h**3\/13 - 6044*h**2\/13 - 2791514*h\/13.\nAnswer: -2*h*(h + 569)*(h + 2453)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1922940*m**2 - 283435*m**2 + 437655*m**2.\nAnswer: -1768720*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Determine w so that 15*w**4 + 80*w**3 + 115*w**2 + 30*w = 0.\nAnswer: -3, -2, -1\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 15783 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = 155*o**2 + 105*o - 140. Let y(m) = 9*m**2 + 6*m - 8. Let u(v) = 2*n(v) - 35*y(v). Let r(c) = 94*c**2 - 3*c. Calculate r(u(z)).\nAnswer: 2350*z**4 + 15*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 28760?\nAnswer: 2, 5, 719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 795 is divided by 116.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 0.15, 0.3, -10?\nAnswer: 0.15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (313 - (39 + 259)) + 10 + (0 - (1 - 0))?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (18\/15)\/(228\/1520)\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 480 + -477. Solve 4*y - d*y = 4 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 236.6511789 minus -24?\nAnswer: 260.6511789","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 791, 4, 0.8, 0.1, 3, 90?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -2*h**3 - 6*h**2 - 3*h + 2. Let w be u(-5). Let r = w - 46. What is the remainder when r is divided by 25?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -272*g - 1987*g + 3357 - 57573 for g.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -5 - 43962?\nAnswer: -43967","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put -17, 2, 191, -3 in decreasing order.\nAnswer: 191, 2, -3, -17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) be the first derivative of 11*p**6\/6 - p**3 + 1. Find the third derivative of o(d) wrt d.\nAnswer: 660*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y = -4*a - 560, -5*a + y - 4*y - 684 = 0. What are the prime factors of (-2116)\/a + (-1 - (-1)\/(-3))?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) be the second derivative of -29*c**6\/15 - 5*c**3\/6 + c**2 + 34*c - 1. Find the second derivative of o(m) wrt m.\nAnswer: -696*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of f**3*h**3 - 207*f**3*h**2 + 3*f**3*h + 77*f**2*h**3 - 2*f**2*h**2 - 20*f*h**3 + 3*h**3 + 62*h wrt h.\nAnswer: 6*f**3 + 462*f**2 - 120*f + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*d + 6*d + 20*d + 0*d.\nAnswer: 17*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-10)*p**3\/p)\/(p\/p**0*p)**(-3\/8) assuming p is positive.\nAnswer: p**(-29\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 25 - 23. Let u(v) = v**2 + 4. Let k be u(s). Let z = 1 + k. Calculate the least common multiple of z and 3.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -12*p**2 + 6. Let j be h(3). Let v = 483 + j. Is v a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = 155*v**2 - 4806*v - 18. Give z(31).\nAnswer: -49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 9057?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) be the first derivative of u**7\/168 - u**5\/80 - 2*u - 3. Let a(w) be the first derivative of z(w). Let a(g) = 0. Calculate g.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/25 of a meter in millimeters?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 624 and 9890400?\nAnswer: 9890400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2965*z + 2071*z - 2 + 1870*z)*(-946 + 946 + 30*z) to the form c*z + v + r*z**2 and give c.\nAnswer: -60","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find c, given that 2*c**3\/3 + 772*c**2\/3 + 19520*c\/3 - 4048448 = 0.\nAnswer: -244, 102","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 443 divide 1776881?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t**2\/4 + 8435*t\/2 = 0. Calculate t.\nAnswer: -16870, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1824103 + -1178972. Is s prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 180090686.\nAnswer: 2, 1381, 65203","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-234)\/(-24) - (-6)\/(-8). Let w = j - -1. What is the highest common factor of 40 and w?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 40385 and 40382 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 324931220 to the power of 1\/2, to the nearest integer?\nAnswer: 18026","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 31 - 29. Find the second derivative of -z**4 + t*z**4 - 19*z + 3*z + 0*z**4 wrt z.\nAnswer: 12*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 227257?\nAnswer: 227257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -118*r + 33. Is v(-20) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3*-5*1\/(-5).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -22*p**3 - 2*p**2 - 2*p - 88. Let o(i) = 23*i**3 + 3*i**2 + 3*i + 88. Let l(x) = -3*h(x) - 2*o(x). Differentiate l(b) wrt b.\nAnswer: 60*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oov when three letters picked without replacement from ovvookkvvkkkkkokkok.\nAnswer: 40\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -96 - -91. Let x be 2\/(-4) + 1\/4. Let u be -1 - 2\/(-6) - 0. Sort x, u, i in decreasing order.\nAnswer: x, u, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -26\/1265 and 46\/15.\nAnswer: 3795","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 11 + -11. Suppose 3*a - 15 = -4*p, i = -3*a + 5*a - 10. Solve -3 = -n - p for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -k**3 - 6*k**2 + 16*k + 2. Let o be w(-8). Suppose -2*m = m. Let u = -0.0584 + 0.4584. What is the closest to m in o, 4, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 8 or -55010129?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 divided by -29.\nAnswer: -4\/29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) be the first derivative of 2*v**3\/3 + 6. Let q(w) be the third derivative of -w**4\/6 + w**2. Calculate q(g(c)).\nAnswer: -8*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 - 11 = 5*y. Let u = -11 + 12. Let j = u - 2. Which is the smallest value? (a) j (b) 1\/5 (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find k such that -292*k**5 + 1614*k**4 - 1800*k**3 - 74*k**2 + 552*k = 0.\nAnswer: -69\/146, 0, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -10\/633853 and 59\/22357724.\nAnswer: 245934964","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 36522551101 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -453 - -451. Let x be 9\/(-12) + (-1 - -2). Is x at least as big as w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -40*h + 83*h = -344 for h.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) be the first derivative of 4*t**5\/35 - 4*t**4\/7 + 20*t**3\/21 - 4*t**2\/7 - 122. Find r, given that z(r) = 0.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 529\/110 - 54\/11. Let z = r - 3\/20. Is z equal to 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*u + 2*s - 12, 0 = 3*u + 5*s - 4 - 10 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00201753569 to 6 decimal places.\nAnswer: 0.002018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 131\/36 and -43\/5544.\nAnswer: 5544","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 281\/13729 bigger than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 386*p**3 + 6*p**2 - 2177147*p.\nAnswer: 2316*p + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -c**3 - 2*c**2 + 15*c. Let u(i) = 3*i**3 + 5*i**2 - 30*i. Determine 5*r(g) + 2*u(g).\nAnswer: g**3 + 15*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-4)\/18 + (-9)\/81 and -28\/3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 437962410 divided by 5\nAnswer: 87592482","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 1759293290?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xx when two letters picked without replacement from {x: 2, f: 6, r: 3, w: 1}?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15654 is divided by 38?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -s + 3*s - 32. Suppose -2*d + 6*d = s. Suppose -8 = -d*z + 3*z. What is the remainder when 23 is divided by z?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1187.61807 rounded to the nearest integer?\nAnswer: -1188","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35*o = -38*o + 30. What is the remainder when 2607 is divided by o?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*i**3 + i**3 - 2*i**3)*(2 - 2 + 1) - i**2 - 1194 + 1194 - 97*i**3.\nAnswer: -96*i**3 - i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.39708 rounded to one decimal place?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-l + 0*l + 2*l)*(4*l - 2*l - 3*l)*(-5*l + 6*l - l**3 + 2*l**3).\nAnswer: -l**5 - l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 5 - -e529?\nAnswer: e52e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 17427 - 9919. List the prime factors of x.\nAnswer: 2, 1877","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-2404)\/(-1803)*(13\/(-14) - -1)\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 406 = -2*p + 4*l, -32*p = -29*p - 5*l + 601. What is the nearest to 0 in -4, -0.2, p?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2223\/7 + 317. Let z = 3 - -2. What is the closest to -3 in b, z, 0.6?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(10\/7)\/(a**(5\/2)*a))\/(a*(a*a**(-8)*a)\/a*a\/a**0) assuming a is positive.\nAnswer: a**(41\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 2663?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(3\/7)*f*f**(-1)\/f)\/(f\/(f\/((f\/f**(-1\/3))\/f)))**(1\/11) assuming f is positive.\nAnswer: f**(-139\/231)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -11140401103 - 21?\nAnswer: -11140401124","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -4245.5 and -14872?\nAnswer: 10626.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 10\/3 + (-1)\/3. Suppose -6*b + c*b = r + 2, -r = 5*b + 12. What is the remainder when r is divided by 7?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 16\/24 + (-2)\/3. Let i be (((-41)\/(-41))\/(27\/6))\/((-1)\/(-9)). Solve 0 = i*k - l + 8 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) be the third derivative of -t**6\/360 - 17*t**3\/6 - 13*t**2. Let a(b) be the first derivative of z(b). Let o(j) = -29*j. Determine a(o(r)).\nAnswer: -841*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 14843423*x**3 - 15161*x**2 + 3*x + 92 wrt x?\nAnswer: 89060538","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-seven fifths of a milligram in micrograms?\nAnswer: 7400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -m**4 + 2*m**3 + m**2 - 2*m - 1. Suppose -23 + 33 = -5*k. Let d(f) = -f**3 + f + 1. Let h(p) = k*d(p) - 2*u(p). Factor h(l).\nAnswer: 2*l*(l - 1)**2*(l + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 59 (b) 4\/5 (c) -5\/3 (d) -2 (e) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*w**3\/5 - 532*w**2\/5 + 23076*w\/5 - 42588 = 0. Calculate w.\nAnswer: -169, 15, 21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -101010110000001110100 - 101?\nAnswer: -101010110000001111001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1712 - -2591. What are the prime factors of i?\nAnswer: 3, 293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.1397 * 0.0543\nAnswer: -0.00758571","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*o - o - 7*o)*(0 + 2 - 4)*(2*o + 6*o - 2*o).\nAnswer: 120*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 4, 0, -3, 16, 54325 in ascending order.\nAnswer: -4, -3, 0, 4, 16, 54325","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g - 3*t = 5, -5*t + 0*t = 4*g + 4. What is the lowest common multiple of 136 and 5*(11 + (g - 2))?\nAnswer: 680","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 7736?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let -h**5 + 5687732*h**4\/5 + 26163648*h**3\/5 + 28438774*h**2\/5 + 1137557*h\/5 - 6825306\/5 = 0. Calculate h.\nAnswer: -3, -1, 2\/5, 1137551","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -60 (base 11) to base 9\nAnswer: -73","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.5 (b) 594 (c) 228\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 68*t = 63*t + 21475. Is t a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine s so that 2*s**2\/11 + 158*s\/11 - 1204\/11 = 0.\nAnswer: -86, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 9148651 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 360287701?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = 50*o + 188. List the prime factors of y(13).\nAnswer: 2, 419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 22887.\nAnswer: 3, 2543","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = 4*k + 35. Let q be d(-9). Let p be (q - 0)*(-2)\/(-2)*-1. What is the biggest value in 2\/23, -5, p, -0.1?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 542 - 3902 = -8*j. What is the tens digit of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -4*r - 41. Calculate v(-8).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 54613 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) be the first derivative of 4\/7*l - 2\/21*l**3 + 3 - 1\/7*l**2. Factor c(y).\nAnswer: -2*(y - 1)*(y + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 23 and 299?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -j + 7. Let o be i(6). Let y = 3996.99 + -3997. What is the closest to o in 2\/3, 4, y?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c = 2*z + 9, 3*c = -5*z + 17 + 13. Suppose 4*k - 1062 = -4*u + 210, z = -3*k. What is the greatest common factor of u and 29?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 202364905 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -3329.4 to the nearest one hundred.\nAnswer: -3300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2641 + -1827. Calculate the greatest common factor of 22 and t.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j = -5*v + 8*v, 4*j + 3*v = 24. Let p(f) = 217 - 216 - f + j*f - f**3. Let x = -6 - -9. Give p(x).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 88739?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 150\/546 - (-28)\/182.\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 254?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 887.858 + 0.142. Let v = s + -896.21. Let f = v + -0.79. Which is the smallest value? (a) f (b) 1 (c) 2\/9 (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10572799 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is (-423)\/(-18)*42 - 8 a multiple of 33?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 4966 and 49914030.\nAnswer: 382","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-4*(sqrt(475) + 4 - sqrt(475)) + sqrt(475))*3 + -1*((sqrt(475) + 3)*-5 - sqrt(475)))*1 + -5)**2.\nAnswer: -3420*sqrt(19) + 39919","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2401 + 559 + 178*g - 180*g.\nAnswer: -2*g - 1842","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -12*a**2 + 0*a**4 - 63 - 57574*a**3 - a**4 + 400*a**5 + 57572*a**3 wrt a?\nAnswer: 24000*a**2 - 24*a - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5*(1 + -2*1) + (-7744)\/1694?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 522832327?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -5*c**3 + 19*c**2 + 14*c + 13. Let u(z) = 2*z**3 - z**2 + 1. Let j(a) = -3*u(a) - v(a). Give j(-15).\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*o + 0*o = 21. What is the biggest value in 2\/5, o, -5?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 11 + 3. Suppose -i + 17 = d. Solve 3 + 0 = i*o for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:51 PM and 2:14 AM?\nAnswer: 623","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2\/15, 0.39, -2, 1, -0.1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -15 - -12.2. Let z = 2.8017 + v. What is z rounded to three decimal places?\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11646 is divided by 58?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) be the first derivative of 1\/18*m**3 - 1\/6*m**2 + 1\/24*m**4 + 0*m + 4. Factor f(o).\nAnswer: o*(o - 1)*(o + 2)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8 + -23 - (-1 - ((-8 - 1) + 7)).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 99\/10 and -19\/115568.\nAnswer: 577840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) be the second derivative of 0*v**4 + 0 - 158*v + 295\/6*v**3 + 0*v**2 + 117\/20*v**5. Find the second derivative of g(z) wrt z.\nAnswer: 702*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (q + 2*q - 4*q)*(-5*q**2 - 4*q**2 + q**2 + 1) in the form x*q + b*q**2 + z + d*q**3 and give x.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (138\/4*(-100)\/60)\/((-180)\/(-144))?\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 61646699 to the nearest integer?\nAnswer: 7852","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 801 - 795. Let b(c) = 220 + 6*c - 218 + 4*c - 5*c - c**2. Determine b(n).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 18\/4*(-8)\/(-12). Let w(p) = -4 + 16*p + 12*p - p**f - 29*p. Let m be (0 + 4\/(-8))*0. Give w(m).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5262*z**4 - 2*z**3 + 9*z**5 + 10515*z**4 - z - 5262*z**4 + (-2*z - 2*z**2 + 2*z)*(-4*z**2 + 4*z**2 - z**3).\nAnswer: 11*z**5 - 9*z**4 - 2*z**3 - z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Are -0.88 and 0.7 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 465*x + 18*x**2 - 465*x + 4.\nAnswer: 18*x**2 + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x\/(x\/x**2)*x)\/x**(2\/19))**(-1\/12)*(x*x**(1\/3)*x**(-1\/5))\/(x\/(x\/x**2)*x**0) assuming x is positive.\nAnswer: x**(-421\/380)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = 3*g + 29. Let u be j(-11). What is the third biggest value in 2\/7, 3, 0.1, u?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j*j*j*(j\/((j*j**(3\/7))\/j*j))\/j)\/(j\/j**(-3\/5))*(j**(-2\/5))**(-5\/8) assuming j is positive.\nAnswer: j**(31\/140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 11628667 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 36841*t**5 + 54230*t wrt t.\nAnswer: 736820*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12\/138 + (-1562)\/506.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -3*z + 5*z - z - 4*z - 7. Let r be q(-4). Suppose -r*s - 15 = -0*s, -5894 = f - 2*s. What is f rounded to the nearest 1000?\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 17 - 2. Let t = 22 - i. Calculate the smallest common multiple of 16 and t.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 112 + -79. Let g = -177 - k. Let x = 223.7 + g. What is x rounded to 0 decimal places?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -26 - (9 + -39) - (-12 - -1)\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (136\/51)\/(2\/6)*33\/(-308).\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -866*g - 1016. Does 64 divide m(-7)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 11 + -7. Let k be 21 - (-1)\/(p\/12). Solve k = -5*v + 2*n, 5*v - n = 2*v - 14 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-1)\/(-3)*(-4)\/14. Let j = 73 + -220\/3. Which is the biggest value? (a) j (b) -1 (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 14, 34, 70, 128, 214, 334, 494, 700?\n\"Answer: c**3 + 2*c**2 + 7*c + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -21 and -139\/117744?\nAnswer: 117744","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-10)\/3*342\/(-95). What is the highest common divisor of 84 and q?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 (base 16) in base 3?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 - (-8 - 4) - 6.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -3837311352 - -4?\nAnswer: -3837311348","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 23\/(-4) - 7\/28. Is -4 at least d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4563180 by 10.\nAnswer: -456318","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zazavjzzmammra. What is prob of picking 1 v and 3 m?\nAnswer: 1\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pkekkevkk. What is prob of picking 1 v and 1 e?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -97\/455232 and -59\/75872?\nAnswer: 455232","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) be the first derivative of 2*w**5\/15 - w**4\/3 - 10*w**3\/9 + 2*w**2 + 67. Determine k, given that o(k) = 0.\nAnswer: -2, 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 86 and 80.\nAnswer: 3440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -16 - (-8 - 4 - 1) - (-2 - -11)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -p = -2*h - 47, -10 - 126 = 7*h - 4*p - 1 + 51 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express -9*p - 8*p - p**2 - 2*p**2 - p as g*p + u + b*p**2 and give b.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 24 and 286081323?\nAnswer: 2288650584","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -110b (base 14) in base 16?\nAnswer: -b87","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 42449 is divided by 42407.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 4102837 - 2370294. Is w composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = w**4 + 7*w**2 - 1. Let x(j) be the first derivative of 2*j**3 - j + 4. Let r(v) = -7*x(v) + 6*z(v). Differentiate r(d) wrt d.\nAnswer: 24*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 27906590?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 9.128 - 0.028. Let r = 2.9 + q. Let d = r - 11.999912. Round d to 5 dps.\nAnswer: 0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 71423353 + -71423329.0000184. Let z = t - 24. What is z rounded to 6 dps?\nAnswer: -0.000018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*x + 3*p + 22 = 3*x, 4*x = 5*p + 12. Which is the nearest to -1? (a) -1\/5 (b) x (c) 0.4 (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2064 divided by 6?\nAnswer: -344","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is (-667954)\/(-28) - 1\/(-2)*-5 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -209635317.310478979 - -0.310478979. Let d = q + 209635342.9999974. Let z = d - 26. Round z to six decimal places.\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1023552 - 135201?\nAnswer: 444351","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 94.527 times -15?\nAnswer: -1417.905","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -13*i - 444. Give x(-31).\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 11, t: 3}. Give prob of picking 2 n and 1 t.\nAnswer: 165\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 506*w + 114*w + 209*w + 31502 = 0 for w.\nAnswer: -38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let 9*x**2 - 115998*x + 77328 = 0. Calculate x.\nAnswer: 2\/3, 12888","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -5734, -5643, -5552, -5461, -5370, -5279?\n\"Answer: 91*l - 5825","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -2*t + 4. Suppose -t*u = -4*u + 135. List the prime factors of (u\/(-2))\/((114\/(-36))\/(-19)).\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a*a\/((a*a**1)\/a*a)*a)**(-7\/5))**(-2\/59)*(a**2*a**(2\/5)*a*a)**7 assuming a is positive.\nAnswer: a**(1820\/59)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = 11*p - 9. Give k(2).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does -4 = -2924\/557?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 (base 9) in base 15?\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 4, -3, 3, -13, 1, -104 in decreasing order.\nAnswer: 4, 3, 2, 1, -3, -13, -104","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 57, 242, 551, 984, 1541, 2222, 3027?\nAnswer: 3956","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/9, -2, -1\/2, -0.3179 in ascending order.\nAnswer: -2, -1\/2, -0.3179, -2\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t = -2*i + 530, 6*i - 4*i = -4*t - 542. Let h be t\/(-24) + 1\/(-4). Solve -h*o - 2*o**2 - 8\/3 = 0.\nAnswer: -2, -2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1\/(3*(-4)\/(-564)). Suppose 10 = -k + i. Is k a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-9 + 9 - 4*u**4)*(-47*u + 17*u + 8 - 8).\nAnswer: 120*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 945 is divided by 79.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -29 + 349\/12. Let q(n) be the second derivative of 0*n**5 + 3*n + 0*n**2 + w*n**4 + 0 + 0*n**3 - 1\/6*n**6. What is the third derivative of q(g) wrt g?\nAnswer: -120*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 11\/90 and 99\/4850?\nAnswer: 43650","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -6 - -8. Suppose o*i = 4*d - 2*i + 8, 0 = -4*d - i - 3. Let m be 6\/4 - 2 - d. Which is bigger: m or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.3937015mg to nanograms.\nAnswer: 393701.5","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 1 + -4780\nAnswer: -4779","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 576.03 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-304)\/475)\/(4\/6*(-30)\/100). Factor t*u - 18\/5*u**2 - 1 - 1\/5*u**4 + 8\/5*u**3.\nAnswer: -(u - 5)*(u - 1)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (12 + -13)*(0\/1 + 0). Let n(b) be the second derivative of b + 0 + 0*b**3 + 2*b**2 - 1\/20*b**5 + a*b**4. What is the derivative of n(r) wrt r?\nAnswer: -3*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -38.94 and 41242755.\nAnswer: 41242716.06","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 78 = r + 75. Suppose 2*l + 5 = -r*l. Sort l, -4, -3 in decreasing order.\nAnswer: l, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 25404 is divided by 9.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -2*g**2 - 3*g - 3. Let o be (-10)\/(-5) + (1 + -3)\/(-2). Let r(x) = 2 + 4*x**2 - 2*x - 3*x**2 + 4*x. Calculate o*r(k) + 2*h(k).\nAnswer: -k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 1\/5 (b) 71 (c) 0.39 (d) -2\/3 (e) 21 (f) -4 (g) 2\/33\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -15405.38 - -0.11?\nAnswer: -15405.27","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 26041, -0.25, -3, -2\/5 in descending order.\nAnswer: 26041, -0.25, -2\/5, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = d**2. Let w(g) = 4*g**2 - 2. Determine -10*r(p) + 2*w(p).\nAnswer: -2*p**2 - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 131 - 39. Suppose -u*o + 104*o = 4140. Is o a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*b + b + 99 = 5*w, 3*w = 5*b + 55. Is 10 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*k - 87 - 1383. What is the remainder when k is divided by 83?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = c**2 + 78*c - 317. Let m(i) = -2*i - 21. Let n be m(-14). Let z = n + 3. Calculate the least common multiple of a(4) and z.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + 11 + (-4 + -2 + 6 - 1).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -3165, -3160, -3155, -3150?\n\"Answer: 5*o - 3170","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -43211 + 1324?\nAnswer: -41332","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = m**2 + 3*m - 3. Let a be -3 - (-3 + 5) - -2. Let g be c(a). Put -4, g, -2 in descending order.\nAnswer: -2, g, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1, 14, 3?\nAnswer: 14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express -34*o + 62*o + 165*o as k + t*o and give t.\nAnswer: 193","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-30)\/(-4)*234\/195. Solve 2*t - 3*i - z = 0, -4*i + 0*i = 5*t + 35 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = 6*t + 3. Calculate x(4).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4011270852?\nAnswer: 2, 3, 334272571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = 15*x**3 - 21*x**2 - 570*x + 20. Calculate c(-6).\nAnswer: -556","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -10973388 by -5.\nAnswer: 10973388\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**3*n*n)\/((n**(-7)*n)\/n)*(n**(1\/6)*n)**(-22\/3))**(-1\/15) assuming n is positive.\nAnswer: n**(-31\/135)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -92*y + 2*y**3 + 65 - 2*y**2 + 46*y - 3*y**3 - 68 to w*y**2 + r + l*y**3 + o*y and give o.\nAnswer: -46","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = k + 1. Let u(v) = 3*v**3 + 6*v**2 - 6*v - 6. Suppose 3*h + y = 2*y + 2, 0 = -2*y + 2. Let p(g) = h*u(g) + 6*b(g). Find d such that p(d) = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -2 - 166462552?\nAnswer: -166462554","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -18274*t - 18281. Give a(-1).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y = 2*j + 165944, 0*y + 132748 = -4*y + 2*j. Let t = y + 63188. What is t rounded to the nearest ten thousand?\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 60*j - 237*j + 1226256. What is the units digit of j?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -299 = -24*r + 12 + 121 for r.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i + 4*z + 125 = -40, -4*i + 132 = -3*z. What is the greatest common factor of i and 297?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 17708\/1005 + -4\/201. Which is greater: k or -0.2?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 18 + -118\/7. Let w = -689 + 685. Which is the nearest to 1\/3? (a) w (b) -2 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-5)\/(10\/(-4)) - 82\/(-2). What is the common denominator of (a\/12)\/((-1 + 0)*1) and -87\/8?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nj when two letters picked without replacement from yyynj?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 57722 and 124.\nAnswer: 115444","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 6 and 36?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express 7*t + 4*t**2 - 12*t + 3*t - 10*t**2 in the form v + h*t**2 + i*t and give i.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.09 * -5.61.\nAnswer: 0.5049","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 117150 to the nearest integer?\nAnswer: 342","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-2)\/(-4) - 3\/(-2). Let r = 2 - h. Suppose r = 4*k - 60. Is k a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -10*z. Let i(a) be the first derivative of 35*a**2\/2 + 127. Give q(i(r)).\nAnswer: -350*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 0.22, 2\/11, 14.81?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -37\/13181004 and -35\/13181004.\nAnswer: 13181004","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*z = -w + 11, -21*w = -17*w - 4 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) be the third derivative of -k**7\/280 + k**5\/120 - k**3\/2 + k**2. Let b(n) be the first derivative of o(n). Find the second derivative of b(v) wrt v.\nAnswer: -18*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -2125, -2148, -2221, -2368, -2613, -2980, -3493?\n\"Answer: -4*f**3 - f**2 + 8*f - 2128","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 22*(-1)\/(2\/(-3)). Calculate the common denominator of 1\/(-32)*(n - -5) and 9\/22.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = 5*y + 402. Calculate the remainder when t(8) is divided by 37.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -m + 5*w - 98, 4*m - 8*m - w - 287 = 0. Let o = -220\/3 - m. What is the nearest to -2 in 0.1, o, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/a**2)\/(a**(-2\/19)*a*a*a)*((a\/(a*a\/(a\/a**(3\/8))))\/a*a*a)\/a**(-3) assuming a is positive.\nAnswer: a**(-41\/152)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/b**3)\/(b*b**14) assuming b is positive.\nAnswer: b**(-17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ff when two letters picked without replacement from kffkfffk?\nAnswer: 5\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/13 in 2\/39, 0.002, 10?\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -68*v + 1509. Determine a(21).\nAnswer: 81","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -27917\/208 + 1770\/13. Let r(v) = v + 4. Let x be r(6). What is the common denominator of p and (-117 + x)*(-1)\/(-28)?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16209112787 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 - 0)*4 - (-260)\/26?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 17, -1\/3, -1\/12, 0.5?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Determine f, given that 1498176 + 1488388*f**2 + 2519695*f + 471761*f + 860*f**3 + 4*f**4 - 5748*f**3 = 0.\nAnswer: -1, 612","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 32026421939 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x + 5*f = -24, 5*x = -3*f - 0*f - 10. Let n be (-18)\/(-4) + 10\/20. Let b = 9 - n. Put x, -5, b in decreasing order.\nAnswer: b, x, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-three eighths of a tonne in kilograms?\nAnswer: 2875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = o**3 - 7*o**2 + 7*o + 15. Let b be r(8). Let y = b + -139. Put -48, 2, y, 1 in descending order.\nAnswer: 2, 1, y, -48","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -l**3 + 13*l**2 + 63*l - 940. Determine m(11).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -18 - 10. Let q be ((-927960)\/960)\/(7\/(-2)). Let v = q + -1087\/4. Calculate the common denominator of v and l.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -12 + 3. Let u = n - -20. List the prime factors of u.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9633*r**2 + 9633*r**2 - r**3.\nAnswer: -r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 368 + -135. List the prime factors of j.\nAnswer: 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.7 and -19.\nAnswer: -18.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 23098577 to the power of 1\/3, to the nearest integer?\nAnswer: 285","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 65 is divided by 20?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 53\/39 and 76\/93.\nAnswer: 1209","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 39840\/(-1320) - (-2)\/11. Suppose -b - 4*j + 23 = 0, -4*b - 4*j + 39 = 7. Put -4, v, 1, b in ascending order.\nAnswer: v, -4, 1, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:35 AM and 10:57 AM?\nAnswer: 82","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-3)\/4)\/(8\/(1408\/(-12))).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 326 and -104077.3?\nAnswer: 104403.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*w + 0*h + 4*h = 0, -7*w - 5*h - 29 = -18*w for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = i**3 + 1258*i**2 - 16266*i - 3346. Calculate t(13).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express (13 - 2 + 4)*((2 - 4 + 3)*(-5 + 5 + 6*j) + (-3*j - 3*j - 2*j)*(-2 + 6 - 2)) as d + n*j and give n.\nAnswer: -150","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1796 + 9*h - 669 + 1116 + 572 - h**2 + 4258.\nAnswer: -h**2 + 9*h + 7073","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = -4*j + 1. Suppose -5*u - 11 = -3*r, -j = -0*r + 2*r - u. Let h be (2\/r)\/((-2)\/(-9)). Let w(c) = -2*c + 3. Determine w(h).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2425?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1.775 + -6.09. Let h = s - -0.375. What is h rounded to one dp?\nAnswer: -3.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -239*p - 29*p - 128251 = -1478*p - 50811 for p.\nAnswer: 64","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) be the second derivative of r**4\/9 - 5*r**3\/18 - r**2 - r - 4. Solve i(p) = 0 for p.\nAnswer: -3\/4, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-18*x**2 - 9*x**2 + 56*x**2)*(-170 - 3*x + 0*x + 180 + 1 - 1 - x + (-2 - 2 + 2)*(0*x - x + 3*x)) + 0*x**2 + 2*x**3 + 2 + 0*x**2.\nAnswer: -230*x**3 + 290*x**2 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 19\/28 or 3.799?\nAnswer: 19\/28","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express 11 + 30 - 658*y + 659*y as q + o*y and give q.\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17*s**3 + 5*s - 12*s**3 - s + 2*s - 20*s**2 - 2*s**3.\nAnswer: 3*s**3 - 20*s**2 + 6*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = y**3 + y**2 - 8*y - 6. Let i be b(-3). Solve i = -v - 4*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1424 and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -132.1 - -132. Let w = -0.1 - -0.1. Which is the smallest value? (a) 1 (b) w (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -300925 + 425 = -5718*f + 122632 for f.\nAnswer: 74","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 157 = -4*k - 5*l, -2*k - l - 83 = -0*l. List the prime factors of k - -144 - (4 + -1 + -1).\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10\/(90\/(-187317))*-1 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5036047 to the power of 1\/9, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100100 + -1000111101000011?\nAnswer: -1000111100011111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 16 - 8. Let w(l) = k + 1 - l - 6. Let v(h) be the second derivative of -h**2\/2 - h. Determine 2*v(s) + w(s).\nAnswer: -s + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/5? (a) 2\/8645 (b) -3 (c) 4 (d) 3\/4 (e) 0 (f) -8.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 174 + -61. What are the prime factors of h?\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -358743, -357154, -355565, -353976, -352387, -350798?\nAnswer: -349209","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 14587 + -14592. Let l(d) = 10*d**3 - 13*d**2 + 13*d + 13. Let j(y) = -7*y**3 + 9*y**2 - 9*y - 9. Determine a*l(f) - 7*j(f).\nAnswer: -f**3 + 2*f**2 - 2*f - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 611, 614, 619, 626, 635, 646?\n\"Answer: t**2 + 610","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -3309*-0.18\nAnswer: 595.62","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -18770000 rounded to the nearest one hundred thousand?\nAnswer: -18800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s**(5\/6)*s**(-8)*s assuming s is positive.\nAnswer: s**(-37\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = 5*c**3 - 2*c**2 + 2*c - 1. Let s be o(1). Suppose -s*v - k + 29 = -2*v, 5*v = 5*k + 35. Solve -5*q + v = -q for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -91\/45 and -29\/399.\nAnswer: 5985","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + -2 + sqrt(3) - sqrt(3))*1.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when -3 + (-72)\/(-21) - (-3224)\/56*8 is divided by 11?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.3 take away -0.1359994?\nAnswer: 2.4359994","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 921691763?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(1100) - sqrt(132)\/(sqrt(48) - sqrt(12)))**2*1 - (sqrt(121)\/(sqrt(22)\/sqrt(2)) - 4*sqrt(66)\/sqrt(6)).\nAnswer: 3*sqrt(11) + 4851","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.04156003 rounded to 2 dps?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 8135\/21 + -2697\/7. Calculate the common denominator of -11\/207 and h.\nAnswer: 1449","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -102424735, -204849474, -307274213, -409698952, -512123691?\n\"Answer: -102424739*q + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 417*c - 65*c**2 - 826*c + 15*c**3 - 6*c**3 + 410*c wrt c?\nAnswer: 54","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -21 + 17. Let p = i - -112. Suppose 0 = 4*x + 8 - 56. Calculate the greatest common factor of p and x.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 88, 100, 116, 136, 160?\nAnswer: 188","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k - 6*k - 29 = 4*y, -3*k - y - 32 = 0. Let h(m) = 29830*m**2 - 50*m + 20. Let g be h(k). Round g to the nearest one million.\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1919309?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -1022227 divided by -12?\nAnswer: 1022227\/12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*v**3 - 240*v - 19*v**3 + 240*v.\nAnswer: -23*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 243477809 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 12969025 + -12969025.22541039. Let l = z + 0.2254. Round l to six dps.\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 2, f: 4, i: 2}. Give prob of picking 1 i and 2 o.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1005 by 1.\nAnswer: 1005","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor -g**3 + 19922*g**2 + 2441647*g + 74583724.\nAnswer: -(g - 20044)*(g + 61)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -110 (base 3) to base 4\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1173281165 to the nearest integer?\nAnswer: 34253","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (3\/(-15))\/((-798)\/9595) + (-50)\/20?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -x**2\/5 + 4594*x\/5 + 9192\/5 = 0 for x.\nAnswer: -2, 4596","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -11*j + 14. Suppose 4*b + 7 = -9. What is the units digit of s(b)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4)\/7*(-247100)\/(-14120)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) be the third derivative of -b**6\/360 - 13*b**4\/24 + 22*b**2. Let i(t) be the second derivative of k(t). Let p(o) = 2*o. Give p(i(a)).\nAnswer: -4*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -127 - -127.000006072. What is v rounded to six decimal places?\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*(sqrt(2268) - (sqrt(2268) + (sqrt(2268) + 1*sqrt(2268))*-6) - sqrt(2268)))\/((sqrt(81) + -1*(sqrt(81) - sqrt(81)*-1))*3))**2.\nAnswer: 3388","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -112, 8, 52?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d\/((d\/(d\/(d*d**(2\/5)*d*d*d*d)))\/d))\/(d*(d\/(d*d**17*d))\/d*d*d))\/(d**0)**(-5\/9) assuming d is positive.\nAnswer: d**(63\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -6 + 12. Suppose 4*k - k + j = 0. Let s be 1 + 1\/(3\/(-6)). Sort k, 2, s in increasing order.\nAnswer: k, s, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t\/(t**(-2\/5)*t))**(-27)*(t**1)**(-27\/4) assuming t is positive.\nAnswer: t**(-351\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -z**2 - 20*z - 45. Let m be r(-16). Suppose 6 = -6*p + 4*p, -2*t = -3*p - 87. What is c in -m*c**2 - 4*c**4 + t*c**2 - 12*c**2 - 4*c**3 = 0?\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 28638 a multiple of 74?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3354946 by -14.\nAnswer: -239639","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f - 21 = -g, 5*g + 3*f + 2*f = 5. Let o be (14\/g)\/(2\/6). Suppose 5*v - 3 - o = 0. Solve v*r = -2*m + 6, 2*r - 5*m - 25 = -3*r for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*x + 61 = -5*c, 123*c - 25 = -x + 125*c for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3\/11? (a) 109 (b) -5.6 (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -175 + 2*i**2 + 175. Let m(v) = -v**2 + 1. Let l(y) = 2*y**2 - 5. Let h(r) = -l(r) - 5*m(r). Give h(j(s)).\nAnswer: 12*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = 5*b**2 - 9*b + 10. Let f be k(5). Let i = 632\/7 - f. What is the closest to i in 5, 0.4, 1?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1*2\/7 - (-11 + 22002\/2128).\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(sqrt(242)\/(-2*sqrt(539)))\/((sqrt(396) - sqrt(44))*-4))**2 + 3.\nAnswer: 75265\/25088","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 9) in base 13?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (-s + 0*s - s)*(-16*s + 7*s - 14*s) + (-2*s**2 - s**2 - 3*s**2)*(1 - 2 + 4) as c*s**2 + d*s + b and give c.\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -934, -933, -942, -967, -1014, -1089, -1198?\nAnswer: -1347","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 23 is divided by 9.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1236 divided by -6.\nAnswer: -206","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(99)\/(sqrt(36)\/sqrt(4)) - (-3 + sqrt(11) + (sqrt(11) + sqrt(275))**2 + sqrt(11))) + 1 + -1*(sqrt(11) + sqrt(11) + 3) + sqrt(11).\nAnswer: -395 - 2*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-2)\/1)\/((-4)\/90). Suppose -b = -2*b + 2*u + p, -2*u + 33 = b. Suppose -g + 3*n + 32 = 0, 123 = 5*g + 4*n + b. What are the prime factors of g?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -f**3 - 3*f**2 - f - 2. Suppose -12*w + 21*w + 36 = 0. Calculate l(w).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/(-24)*2*15\/(-45)?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = 18*j**3 + 49*j**2 + 3*j + 12. Let f(d) = 2*d**3 - d**2 + d + 2. Determine -6*f(l) + g(l).\nAnswer: 6*l**3 + 55*l**2 - 3*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 25\/(-2)*888\/(-740). Let v(j) = -j**2 + 11*j + 18. What is v(l)?\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6\/(-2) + -2 + (-1224)\/(-248).\nAnswer: -2\/31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f + 14 = -11. Let d = f - 6. Put d, -3, 1 in increasing order.\nAnswer: -3, d, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 616 + -609. Calculate the remainder when 0 + 39 + 0\/(-2) is divided by i.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -9*u**3 - 7*u + 7. Let j be (1\/5 + -1)*560\/(-32). Let c(r) = -4*r**3 - 3*r + 3. Let v be 1*12*(-1)\/2. Determine j*c(m) + v*f(m).\nAnswer: -2*m**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i = 2*s + 1247002, i + 623499 = -4*s + 3*s. Round s to the nearest ten thousand.\nAnswer: -620000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-6 - -10) + -1 + -5\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-15)\/(-6)*4\/(-3)*372\/1240?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -2*b**3 - 106*b**2 - 825*b - 1549. Determine x(-44).\nAnswer: -97","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = 5*c**2 + c + 1. Let o be z(-1). Let g(q) = -52*q - 164. Let r be g(-3). Let m = 99 + -99. Sort 3, m, o, r in increasing order.\nAnswer: r, m, 3, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 522\/14 + (-9)\/(-21). Let a = 913\/14 - w. What is the common denominator of 123\/10 and a?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*i**3 + 3520*i**2 + 628068*i - 631584 = 0.\nAnswer: -153, 1, 1032","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.1, 24, 0.13, -4, 3 in ascending order.\nAnswer: -4, -0.1, 0.13, 3, 24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -84.1 + 45820687288?\nAnswer: 45820687203.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1577489*l**2*m**5 - 2*l**2*m - l**2 - l + 5*m**5 - 9*m - 1796 wrt m.\nAnswer: 31549780*l**2*m**3 + 100*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1076189?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 6668267 and 4658?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1664 or 1665?\nAnswer: 1664","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 15\/14 and -37\/328?\nAnswer: 2296","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -2 (base 11) to base 14\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0706573 to 3 decimal places.\nAnswer: -0.071","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1 - 5. Let f = 352 + -354. What is the closest to f in 0.5, q, 0.2?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 5*l**5*n - 15983*l**2*n**2 - 20924*l - 3*n**2 + 1 wrt l.\nAnswer: 100*l**3*n - 31966*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 61.1148 - -2179487\nAnswer: 2179548.1148","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r + 8812 = -3*p - 36391, 3*r - 6*p = 27126. What are the prime factors of r?\nAnswer: 2, 5, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p, 1 u, and 2 j when four letters picked without replacement from xjjjpxypjpxupu?\nAnswer: 48\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -101112 + 0?\nAnswer: -101112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3.2 + -26.2. Let w = r - -22. Which is the second smallest value? (a) w (b) -1\/8 (c) -2\/3 (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 7 + -12. Let q be l\/(-1 - 3 - -3). Suppose -3*k = 2*s - 82, -q*s + 86 = 5*k - 109. What is the tens digit of s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.2 > 102684691?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 12, 26, 56, 114, 212, 362?\n\"Answer: 2*r**3 - 4*r**2 + 12*r + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*i + 13*i - 8*i = -2*i. Solve -7*p + p = -i*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2838\/7260*20*11.\nAnswer: 86","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -94*w = -103*w + 9 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 571255 to the nearest one thousand.\nAnswer: 571000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 19.9752mm?\nAnswer: 1.99752","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-3)\/3 - (-3 - -1). Let r(s) = 26*s**2. Let b be r(o). Solve -5*t + b = 4*l, 0*l = -5*t + l + 6 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 248\/217*4\/(-4)?\nAnswer: -8\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 83\/35 - 18\/7. Let k(s) = -s**2 - s + 6. Let b be k(0). Suppose -3*t = b + 3. Put t, -0.4, d in decreasing order.\nAnswer: d, -0.4, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = o**2 + 40 - 64 - 4 + o. Determine u(0).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 552 + 558 - 1110 - x.\nAnswer: -x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = 47*s**2. Let x(a) = 57*a + 48. Let d(h) = -2*h - 2. Let y(v) = -72*d(v) - 3*x(v). What is y(c(g))?\nAnswer: -1269*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -731*k**3 - 576*k**3 - 1082*k**3 - 797*k**3 + 43*k**3.\nAnswer: -3143*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13 + (2 - -2) + (-39 - -28) - 16.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o + 14 = 3*w, 4*w - 3*o = 2*o + 7. Let k be 3 + (-5 - (4 - 15)). Solve -2*g = -k + w for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -26003.67 + 17503\nAnswer: -8500.67","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l and 3 b when four letters picked without replacement from {l: 7, b: 3, y: 4}.\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (4\/(-28))\/(3\/(-6)). Which is the closest to 1? (a) q (b) 0 (c) -5\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w + 104 = 107. Solve 15 = 5*q, -5*u = 4*q + 11 - w for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4104873733?\nAnswer: 23, 47, 71, 79, 677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -49*n**2 + 5*n. Let d(p) = -244*p**2 + 27*p. What is -2*d(y) + 11*v(y)?\nAnswer: -51*y**2 + y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 495123\/(-9) - (-2)\/3. Let h = b - -20064. Let g = h - -99949. Round g to the nearest ten thousand.\nAnswer: 70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2 - -1 - 2\/(-2). Suppose -j + d - 3 = 0, -5*j + 20 + 0 = 2*d. Suppose -6 = -h*v + j. Are v and 4 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-1098)\/5)\/(-1) + (-32)\/(-80). Let z be -2 + (1024\/y)\/2. Which is greater: 0 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 136 - 134. Which is smaller: b or 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 57 + 23 + -10 - (-25 - -50)\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*z - 4 - 0. Let q(v) = v**3 - v**2 + 1. Let o(u) = u**4 - 2*u**3 - 41*u**2 - 2. Let p(x) = z*q(x) + o(x). Find the third derivative of p(y) wrt y.\nAnswer: 24*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 309, 606, 899, 1188, 1473, 1754?\n\"Answer: -2*t**2 + 303*t + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 3139*2*(-4)\/(-4). Suppose -h + 2810 = -x, -3*h - x + n = -2156. Is h a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -11*g*x**3 + 3*g*x**2 - 44*g*x - 132*x**4 - 2*x**2 + 87 wrt x.\nAnswer: -66*g - 3168*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w = -3*a + 26 - 16, -w + 10 = -a. Suppose -z = -4*n + 2*z + 3588, -n = -w*z - 897. Does 13 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 360470702?\nAnswer: 2, 53, 337, 10091","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) be the first derivative of -3*b**2\/2 + 1. Let x be l(-1). Suppose 0*i + x*p - 1480000 = 2*i, 2*i + 1480000 = 4*p. Round i to the nearest 100000.\nAnswer: -700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/5? (a) -1009 (b) -3\/4 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 5 - (2 + (3 - -1 - 6))\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 less than 27\/8?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -w**3 + 4*w**2 + 4. Let x be o(4). Suppose 0*y = -x*y + 88. Calculate the least common multiple of 20 and y.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k - 3*j = 178, 6*k = -8*j + 3*j + 248. What are the prime factors of k?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1760)\/1540)\/(20\/(-14)).\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t and 2 e when three letters picked without replacement from {e: 3, t: 2}.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 20708420 to the nearest integer?\nAnswer: 275","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r + 0*r - 5 = 0. Suppose -l + 2*t + 44 = -13, r*t = 2*l - 116. Suppose -3*j + l + 211 = 0. Calculate the highest common factor of j and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -13541584 by 4.\nAnswer: -3385396","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 836674?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:17 AM and 12:57 PM?\nAnswer: 400","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor j**3 + 2292*j**2 + 1317888*j + 5234944.\nAnswer: (j + 4)*(j + 1144)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -45*o - 43*o - 42*o + 98 = -144*o for o.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2 (b) -3 (c) 189\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (10 - -22) + (-238 - -96) - -8?\nAnswer: -102","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 19935*(17 - 637\/39)?\nAnswer: 2, 3, 5, 443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -474220*c*i*y**3 + 8*c*i*y**2 - c*i + 585*c*y + 8*i*y - i - y**2 wrt y.\nAnswer: -2845320*c*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0, 2\/27, 2\/5, -2\/17, -0.06932, 12\/11, 3?\nAnswer: 2\/27","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6*1\/26)\/(1\/(8\/12))?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -5 (b) 17969\/88 (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -561*u**2 - 561*u**2 + 1681*u**2 - 558*u**2.\nAnswer: u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 o when two letters picked without replacement from mommmmmmoommooomoooo?\nAnswer: 9\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-3)\/9*12\/20. Which is the closest to 14\/3? (a) 0 (b) 5 (c) w (d) -1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5855*t + 4333*t - 289*t + 658*t.\nAnswer: 10557*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*j + 67 + 36 = 35*s - 154, 3*s - 2*j = 15 for s.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = 20*s**3 + 38*s**2 + s + 22. Let u(f) = 7*f**3 + 13*f**2 + 7. Let j(l) = 6*g(l) - 17*u(l). Is j(9) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 260 - 190. Factor w**4 + 11*w - 3*w**2 - 3*w**3 + s + 62 - 138.\nAnswer: (w - 3)*(w - 1)**2*(w + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5594?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 726*y - 6*v = -7*v - 1679 - 1948, 40*v - 41*v + 5 = -2*y - 8 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 114 - 1?\nAnswer: 113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) be the first derivative of u**4\/8 + 17*u**3 + 867*u**2 + 19652*u - 112. Find i, given that l(i) = 0.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 8551965, 8552001, 8552037, 8552073?\n\"Answer: 36*z + 8551929","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (360 - 7) + 6 + 0?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -j**3 - j**2 - j. Let a(l) = -6*l**3 - 2*l**2 - 15*l - 11. Let d(q) = -a(q) - 2*s(q). Is d(10) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 569784423?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 260?\nAnswer: 2, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -1422 (base 7) in base 12?\nAnswer: -3a3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = d**3 + 12*d**2 - 16*d - 25. Let r be f(-13). Let p be -9 + 118999870\/(-14) + (-4)\/r. What is p rounded to the nearest 1000000?\nAnswer: -9000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -m**2 - m**2 + 3*m**2 + (5 + 1 - 2)*(0*m**2 - 3*m**2 + 4*m**2) + 2*m**2 - 5*m**2 - 3*m**2 as p + o*m**2 + q*m and give o.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -q + 28. Let d be x(5). Let z = -19 + d. Solve 3*p + 5*o - z = -6, 3*p - 2 = -o for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -18*k**3 + 1256*k - 6368. Give z(5).\nAnswer: -2338","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(1*sqrt(156)*-4 - sqrt(156) - sqrt(156))*-2)\/((sqrt(4860) + sqrt(4860)*1 - sqrt(4860))\/(sqrt(5) - -2*sqrt(245))).\nAnswer: -40*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 443\/(-7) + 8\/28. Let c = u + 140. Suppose -2*k = -161 - c. Is k a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 0.657308 nanograms?\nAnswer: 0.000000000000657308","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -55.9 + -8.1. Let r = g + 63.875. What is r rounded to two dps?\nAnswer: -0.13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 493310, 986636, 1479976, 1973330, 2466698?\n\"Answer: 7*v**2 + 493305*v - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -50\/3 or 0.004383?\nAnswer: 0.004383","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 133589000 to the nearest 100000.\nAnswer: 133600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4630.421 kilometers to micrometers.\nAnswer: 4630421000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3 + 237. Suppose -5*a = -7*a + r. Let g be a\/45*18\/2. What is the greatest common factor of g and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 24 - -21. Is 6426\/l - 1\/(-5) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -2*n**3 - 9*n + 17. Let p be m(2). Let h(r) = -3*r**2 - 49*r + 26. Calculate h(p).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wwqw when four letters picked without replacement from wqwwwqwwwqqwq.\nAnswer: 14\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*o**4 + 1716*o**3 - 245385*o**2 - 1716*o + 245388 = 0.\nAnswer: -1, 1, 286","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 13297662?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j = -3*y - 7, -3*j + 0*y = -4*y - 19. Let p(v) = v + 1. Let r be p(j). Solve 4*c + 14 = 3*x, 0*c = -c - r for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -412*q**2 + 220316 - 5*q + 4*q - 220316.\nAnswer: -412*q**2 - q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -283798*t + 1702789. Calculate q(6).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -c (base 15) to base 8.\nAnswer: -14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = 2*x - 3. Let i be s(3). Let h(j) = j - j + 3*j + 1. What is the units digit of h(i)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-35)\/875 + (-3488)\/2800.\nAnswer: -9\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -76322, -610580, -2060704, -4884626, -9540278, -16485592, -26178500, -39076934?\nAnswer: -55638826","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 148470, 147739, 147006, 146271, 145534, 144795?\n\"Answer: -p**2 - 728*p + 149199","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 277897751 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -70, -539, -1814, -4297, -8390?\n\"Answer: -67*f**3 - f**2 + 3*f - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Add together 4 and 956580534.976.\nAnswer: 956580538.976","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1474625.\nAnswer: 5, 47, 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 589 minutes after 12:19 PM?\nAnswer: 10:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -n**2 + n + 1. Let p(c) = -6*c**2 + 4*c + 2. Calculate -p(a) + 4*q(a).\nAnswer: 2*a**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*y**3 + 156*y**2.\nAnswer: 4*y**2*(y + 39)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1\/4*t**5 + 1\/4*t**4 - 1\/4*t + 1\/4 - 1\/2*t**2 + 1\/2*t**3 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 156, 160, 166, 174?\nAnswer: 184","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16 + 2 = -0*g + 9*g for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 77841225?\nAnswer: 3, 5, 7, 11, 4493","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*w**3 - 3*w**3 - 31*w**3.\nAnswer: -31*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = o + 9. Let a(u) = 2*u + 18. Let m(b) = -2*a(b) + 5*d(b). Calculate the remainder when 19 is divided by m(-4).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 3, w: 4, y: 5}. What is prob of picking 2 g and 1 y?\nAnswer: 3\/44","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = 3*r + 102. Let p be y(-24). Suppose -p = -5*l + 10. Solve -2*x = -0*x + l for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*n + 26*n - 117 = 18*n for n.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -121 (base 3) in base 9?\nAnswer: -17","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 11297 and 1106?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*m - 0*m + 770. Let a(b) = -256*b + 270. Let i be a(1). What is the greatest common divisor of m and i?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -89\/7 (b) -4 (c) -37362.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*n = -4*g + 16, -727*n = -729*n - 7*g + 28 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -s**3 + 13*s**2 - 11*s - 10. Let t be m(12). Let 8*x**3 - 10*x - 3*x**t + 12 - 5*x**2 - 6*x - 12*x**2 = 0. What is x?\nAnswer: -1, 1\/2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 3691950 from 0.1.\nAnswer: -3691949.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 19 + -27 - (4 - 8 - -1).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -188\/217 - -18\/31. Let h = -22 + 41. Let u = -20 + h. What is the third biggest value in n, 5, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 bigger than 2091\/195830?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 33\/((18\/(-4))\/(-3)). Suppose 3*d - 5*k = -k + 111, 4*d = k + 135. Calculate the greatest common factor of d and p.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 9125, 9110, 9089, 9062, 9029?\nAnswer: 8990","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -9696990 at least -9696988?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -8 (b) -0.6 (c) -768614\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3741*f - 1307*f + 571*f to the form n + w*f and give w.\nAnswer: -4477","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 take away -0.194?\nAnswer: -2.806","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1328\/(-2490))\/((-9)\/((-13)\/((-130)\/75))).\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -544*a + 132*a + 83*a = -7238 for a.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.3 and -252?\nAnswer: -75.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -2, -25, -74, -155, -274?\n\"Answer: -s**3 - 7*s**2 + 5*s + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h = 5*p + 6, -2 = -2*h - p + 1. Suppose 0 = 8*y - 3*y + n - 137, -5*y + 131 = h*n. What is the remainder when 82 is divided by y?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:11 AM and 1:47 PM?\nAnswer: 456","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 3 + 7. Suppose -5*b + 6*c = 4*c - a, 3*b = -c - 5. Solve -p + b*p = -3*x + 13, 4*p - 2*x = -22 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r + r + 8 = 0. Let v be ((-66)\/(-9))\/(r\/6). Let g(l) = l**2 + 9*l + 6. What is the tens digit of g(v)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 4, v: 7, f: 5}. What is prob of sequence vf?\nAnswer: 7\/48","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a - 17086 = w, 5*a - 4*w = -8*w + 17106. Is a a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 135*w + 246*w + 76*w.\nAnswer: 457*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 16071?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence plp when three letters picked without replacement from {l: 9, p: 5}.\nAnswer: 15\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 x when two letters picked without replacement from {c: 8, x: 3}.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 3 + 46c983a?\nAnswer: 46c983d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is (1*-613)\/(4 - 5) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-4)\/10 - 32\/(-105). Let h = -4 + 3. Which is the closest to h? (a) -2 (b) 0.1 (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -7d852 - 3?\nAnswer: -7d855","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o*o**7)\/o*o\/o**(-3\/7)*o**(-6\/13)*(o*o*o**(-4))\/o assuming o is positive.\nAnswer: o**(452\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -344 + 233. Let a be 4\/(-14) + l\/(-21). Solve -19 = -b - a*m, -3*b - 27 = -6*b - 5*m for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 48620 and 5980?\nAnswer: 260","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express -l - 2513 + l**4 - 2517 - 12*l - 33*l**3 + 5028 as o*l**4 + u*l**2 + p*l**3 + d + t*l and give d.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 20.3, 3\/4, 0.03, 0?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -23 (base 12) in base 2?\nAnswer: -11011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -15 + 2 - (4 - 6 - (4 - 9)).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 2 from 1878283.\nAnswer: 1878281","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 743449\/78 + -9531. Calculate the common denominator of -80\/1521 and k.\nAnswer: 3042","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) be the second derivative of 57 + 12*r**3 + 27\/2*r**2 + r. Let k(x) = 13*x + 5. What is 5*f(l) - 27*k(l)?\nAnswer: 9*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -338 and 27.3479?\nAnswer: -9243.5902","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 34973 + -34973.0016893. What is c rounded to 4 decimal places?\nAnswer: -0.0017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s*s**(-3))\/(s\/(s\/(s*(s*s\/s**(4\/7)*s*s)\/s))))\/(s*s**(2\/9)*s\/(s\/((s**1*s)\/s))) assuming s is positive.\nAnswer: s**(-482\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 3 - 5 - (-34 + 33)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.14 in 4\/5, 0.097, -0.06, 4\/7, -2\/5?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 1041 (base 8) to base 5\nAnswer: 4140","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) 0 (b) 1\/10 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6842?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2082 - -2327. Let f be (8 - g\/25)\/(4\/(-5)). Factor f*a**2 + 33\/4*a + 9\/2.\nAnswer: 3*(a + 3)*(3*a + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 27\/1538138 and -3\/8869?\nAnswer: 10766966","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000000205447 to seven dps.\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*g**2 + 7*g**2 - 2*g**3 + 14*g**2.\nAnswer: -2*g**3 + 10*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 1 y when two letters picked without replacement from llulfylldlyy.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 669 minutes after 9:45 AM?\nAnswer: 8:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -43 + 4*v**2 - 1 + 8 = 0. What is v?\nAnswer: -3, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.3 - 0.26. Let k = p - -4.96. Let g = -439.04 - -441.04. Which is smaller: g or k?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -178*q + 190350 = -43*q. What are the prime factors of q?\nAnswer: 2, 3, 5, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -727.1268 + 727. Let d = 0.14 + m. Round d to three decimal places.\nAnswer: 0.013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 28562.52ns to microseconds.\nAnswer: 28.56252","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 201 (b) -17 (c) 0.3 (d) -7 (e) -8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8, -0.62, -3, 2763, -4 in descending order.\nAnswer: 2763, 8, -0.62, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -53\/44 and -59\/55?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = 193*f + 33. Is b(2) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = 3*u - 29. Is m(18) a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2\/7 or 1990745\/3?\nAnswer: 1990745\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = z**2 - 111*z + 312. Determine p(107).\nAnswer: -116","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-3))**45*(w**(-5))**(-16) assuming w is positive.\nAnswer: w**(-55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9\/12*30\/(-135).\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (1 + 2 - 3) + 4 + 0. Suppose 0 = -m*q, -3*x + 4*q + 2325 = -0*q. Let k = x + 112. Is k prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 13, w: 5}. What is prob of picking 2 j?\nAnswer: 26\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -18.4 from -185.77661.\nAnswer: -167.37661","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5531445 (base 7) to base 5.\nAnswer: 133230210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 6838 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qf when two letters picked without replacement from nnqlfnfufnnfo.\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -i**2 + 11*i + 5. Calculate g(10).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = 2*p**3 - 5*p**2 - 7*p + 9. What is r(5)?\nAnswer: 99","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = x**2 + 66*x + 52. What is the remainder when 1089 is divided by g(-66)?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kdd when three letters picked without replacement from dkwhkhkkkkkhkkgkwdh.\nAnswer: 10\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2678, 0.32, 2?\nAnswer: 0.32","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*m - 77 = -43. Let j(b) be the first derivative of -13*b - 1\/4*b**4 + 0*b**3 + 10 + 0*b**m. Find the first derivative of j(h) wrt h.\nAnswer: -3*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -6*x - 5. Let d be f(-5). Let o(g) = g**3 - 34*g**2 + 33*g + 4. Let k be o(33). Solve -k*i - 9 = -d for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 302551*r**3 + 20*r - r**2 - 18*r - 305815*r**3 + 2 in the form l*r**2 + h + x*r**3 + k*r and give k.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -d + 1. Let b(o) = -3*o**2 - 3*o - 4. Let g(c) = -2*b(c) + 6*h(c). Is g(-10) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 9 - 4. Put -0.5, -5, i, 1\/4 in increasing order.\nAnswer: -5, -0.5, 1\/4, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x = -x + 8. Let j be (-2)\/(-4) - (-3)\/x. What is the units digit of (2 + 1)\/(1\/j)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i + 6576102 = -1663888. Suppose -5*o = -3*c - 5150015, 4*o + 3*c - i = 2*c. Round o to the nearest 100000.\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.2 and 0.263.\nAnswer: 0.0526","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Determine s, given that -1\/3*s**2 - 248*s - 46128 = 0.\nAnswer: -372","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 11978222 to the nearest integer?\nAnswer: 229","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 45 divide 72?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.349 + 0.049. What is the biggest value in 1\/6, 118, z?\nAnswer: 118","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*n - 1472 + 371 + 552 + 549.\nAnswer: 8*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = 4*v + 4*i, 0 = 5*i - 0*i - 5. Find the second derivative of -9*g + 0*g - 3*g - 8*g**v wrt g.\nAnswer: -96*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(204)*4 - sqrt(204))\/(5*(sqrt(768) + sqrt(48))).\nAnswer: -9*sqrt(17)\/50","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r = -5*g + 6392 + 5409, -3*g + 5*r + 7071 = 0. Is g less than or equal to 2361?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g**5 + 82758*g**4 + 570077994*g**3 - 9140043516*g**2 + 16569522003*g - 7999639242 = 0. What is g?\nAnswer: -13801, 1, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 122226?\nAnswer: 2, 3, 13, 1567","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*h + 2*o + 3*o + 65, 5*h - o = 101. Is h a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4664158, -9328215, -13992276, -18656341, -23320410, -27984483, -32648560?\nAnswer: -37312641","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 22 - -3. Factor 8 + 46*z**2 + 32*z + 6*z**4 + 19*z**3 - 16*z**3 + k*z**3.\nAnswer: 2*(z + 1)**2*(z + 2)*(3*z + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*k + 15 = -5*k, -4*y + 4*k + 32 = 0 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -o**2 - 36*o - 146. Let d be z(-24). Solve 0 = -d*n + 141*n - 5 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 3 (b) 398 (c) 0.3 (d) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 204 = -2*z - 2*z. Let g = 151\/3 + z. What is the closest to g in 2\/25, -3, 5?\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000035955801 to 6 dps.\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((2150\/(-75))\/(-43))\/((60\/(-27))\/1)?\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 33076 (base 12) to base 2.\nAnswer: 10000011110011010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/(-18)*3)\/(1\/(-3))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = p + 20. Suppose -3*b + 58 = -m + 2*m, 90 = 5*b + 3*m. Suppose 3 + b = 4*r. What is the lowest common multiple of r and l(0)?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) be the third derivative of -1\/1848*v**8 + 0*v + 0*v**4 + 0*v**3 + 0 - 1\/1155*v**7 - 3*v**2 + 1\/330*v**5 + 1\/660*v**6. Factor y(f).\nAnswer: -2*f**2*(f - 1)*(f + 1)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -2, -1, 2, 707.\nAnswer: -4, -2, -1, 2, 707","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -685, -833, -979, -1123?\nAnswer: -1265","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 11*o + 61 + 5 for o.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 2, x: 1, g: 1, o: 1, e: 1, q: 2}. Give prob of sequence qen.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 1398 to the power of 1\/8, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m - n + 2 = 4*m, -2*n = -4*m + 14. Suppose g + 2*u - 4 = 0, -6*g = -g + m*u - 13. Solve 0 = -2*j + g for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-38)\/(-285)*5\/3.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*g = -5*k - g + 117, -4*k = -2221*g + 2216*g - 80 for k.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: Convert 40987.75 meters to millimeters.\nAnswer: 40987750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(4 + (2 + sqrt(52)*-2 + 3 - (-3 + 2 + sqrt(13) + sqrt(78)\/sqrt(150)))).\nAnswer: -50 + 26*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = 0*j + 3*j + 3*j - 5*j. Let w(t) = -7*t - 1. Determine 18*r(d) + 2*w(d).\nAnswer: 4*d - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1*-5 + (-903)\/(-21). Suppose -t - 4*h = -8 - j, -130 = -5*t + 5*h. What is the least common multiple of t and 45?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -159 at most as big as -159?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -19*c**3 + 7*c**2 - c - 1. Give f(1).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bb when two letters picked without replacement from {b: 2, i: 10}.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -p + 12. Let i be p\/(-56) + 114\/7. Let v = 27 - i. What is the units digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*d = -5*v + 2*d - 40, 5*d = -v - 32 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 715 - 202. What is the highest common factor of 270 and t?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f + 4*f - 4*b = -15866, 2*b + 31732 = 2*f. What are the prime factors of f?\nAnswer: 2, 7933","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/2 of a litre in millilitres?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) be the first derivative of -t**2 - 37*t + 4041. Let z(o) = o**2. Calculate z(l(c)).\nAnswer: 4*c**2 + 148*c + 1369","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 32407?\nAnswer: 23, 1409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 134579445?\nAnswer: 3, 5, 7, 11, 13, 8963","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6 - 3) + -3 - (-12 + 14) - 29.\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -16, -0.1, -0.07, 1\/2, -187 in decreasing order.\nAnswer: 1\/2, -0.07, -0.1, -16, -187","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 1 - (1 + -2 + -1). Suppose 0*n - c*n = -45. Suppose h - n = -3. List the prime factors of h.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 5 + -49728290?\nAnswer: -49728286","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Product of 57 and -439.7117.\nAnswer: -25063.5669","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (81\/207)\/(((-6)\/(-10))\/(110\/(-550))).\nAnswer: -3\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-13)\/(-4) + 1\/(-4). Suppose -2*w + 20 = y*w. Let g be (-6)\/30*(w - -1). Is -1 != g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:53 AM and 12:49 PM?\nAnswer: 596","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) be the first derivative of 2*g**3\/15 - 13*g**2\/5 + 24*g\/5 + 27. Factor p(d).\nAnswer: 2*(d - 12)*(d - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -233, -237, -251, -281, -333?\nAnswer: -413","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -1567*u - 125398. Determine v(-80).\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -445918 (base 11) in base 4?\nAnswer: -2231132003","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q - 3*j = 171 + 46, 5*j + 50 = q. Calculate the smallest common multiple of 40 and q.\nAnswer: 440","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + -3*(4 + (sqrt(1700) + 1 - sqrt(1700)) + (-1*sqrt(1700) + 2)**2 + (1 + sqrt(1700) + 2 - (5 + sqrt(1700) + 1))).\nAnswer: -5122 + 120*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) be the first derivative of v**3\/3 + 2*v**2 - 13*v - 2. Let w be h(-6). Let l(y) = -y + 1. Let m(a) = 2*a - 3. Determine w*m(z) - 3*l(z).\nAnswer: z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 7*i**4 + 137*i**3 - 174205*i**2 wrt i.\nAnswer: 168*i + 822","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = 8*k**3 - 2*k**2 - 2. Let b(z) = -2*z**2 - 61*z + 32. Let l be b(-31). Let a(c) = c**3. Determine l*w(v) - 5*a(v).\nAnswer: 3*v**3 - 2*v**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -52 - -201. Suppose 2*g = g + l. Is g a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 5657 - 5641. Suppose -t = t - 5*f - 73, 0 = -4*t + 2*f + 106. Let z = t - 8. What is the greatest common divisor of a and z?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*k - h + 107372 + 979036, 0 = 2*k + 3*h - 724265. Is k prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -21023102 + 0.3.\nAnswer: -21023101.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -56 = 3*i - 5*i. What is the units digit of i?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) be the first derivative of 31 - 15*m**3 + m**2 - 18 - 15*m + 9*m**3. What is the second derivative of w(o) wrt o?\nAnswer: -36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -36*(-21)\/(-504)*(-24)\/(-6)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.52157 decades in centuries?\nAnswer: 0.552157","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = 2*i**2 - 7*i + 5. Let m be w(5). Let j be -6*(-2)\/m*5. Let g be (-131)\/(j\/(9\/3)). What is g rounded to the nearest ten?\nAnswer: -130","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 123?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 i when three letters picked without replacement from tiittiiiittt?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 32515940.\nAnswer: 2, 5, 101, 16097","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Add 551 and 2887.18708.\nAnswer: 3438.18708","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 631918?\nAnswer: 2, 7, 45137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -q - 6*y + 5048 - 5152 = 0, 15 = 7*q + 5*y + 77 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 79 + 41. Let y = -450 + 451. Which is bigger: q or y?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3508 - -3683. Solve -148 = -9*j - o for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 0 + 7\/28*1228. Let l = x + -2764\/9. Which is the nearest to 2\/5? (a) -2 (b) l (c) 17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*b - b + 57. Let m = 61 + b. Suppose 3*u + 365469 + 530546 = -2*x, -2*u + 1791990 = -m*x. Round x to the nearest ten thousand.\nAnswer: -450000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.12769758 to two decimal places.\nAnswer: 1.13","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 15778.59ml to litres.\nAnswer: 15.77859","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -121102000 (base 4) in base 7?\nAnswer: -610621","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-3)\/(-6))\/(4\/(-8)). Let f(u) = 37999*u**2 + 1. Let r be f(g). Round r to the nearest 10000.\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 5661, 30443, 55225?\nAnswer: 80007","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 120 = y - r - 4, 5*r = -5*y + 580. What is the greatest common divisor of y and 24?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4362?\nAnswer: 2, 3, 727","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 25 - 19. Is w >= 6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(4 + (-5*(sqrt(2) - (sqrt(10)\/sqrt(5) + sqrt(2))))**2).\nAnswer: 162","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -65f (base 16) in base 2?\nAnswer: -11001011111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-1\/13)*k**(-6))**(1\/52) assuming k is positive.\nAnswer: k**(-79\/676)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 92 to the power of 1\/2, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1386 is divided by 460?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 376 + -371. Let a = 7 - 9. Let i be (a - 1) + (1 - -16). Put 0, x, i in ascending order.\nAnswer: 0, x, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 38\/1185 and -81\/9164.\nAnswer: 137460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -104 - -105. Sort d, 83, 0 in descending order.\nAnswer: 83, d, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xxosoxosox. Give prob of sequence ssox.\nAnswer: 2\/315","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -191*c + 40910 = 741*c - 6143 - 56399 for c.\nAnswer: 111","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 40119 and 10.\nAnswer: 401190","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = d + 4. Give m(3).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-4*(sqrt(66) + (sqrt(66) - -1*sqrt(66))))\/(1*sqrt(294) + sqrt(294) + sqrt(294)))**2 + -1)*-6.\nAnswer: -762\/49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -17, -167, -317, -467, -617?\nAnswer: -767","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -25186*s - 430*s**2 + 25186*s - 35*s**4 wrt s.\nAnswer: -840*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 916?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 940\/105*96 - 6\/14?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 24444 and 4462.\nAnswer: 194","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -t**3 - t**2 + 1. Let q(x) = 4*x**3 + 6*x**2 - 9*x - 5. Suppose 201 = -31*u + 46. What is u*m(z) - q(z)?\nAnswer: z**3 - z**2 + 9*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in five quarters of a century?\nAnswer: 125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -58339, -118001, -177663, -237325?\nAnswer: -296987","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d = -12, b - 4*d = 29 + 110. Is b composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -2*k**3 - 20*k**2 - 16*k - 18. Let w(b) = b**3 + 10*b**2 + 8*b + 9. Let m(u) = 3*j(u) + 5*w(u). Let s be m(-10). Is s <= 71?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -4116919*p - 898891 wrt p.\nAnswer: -4116919","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = 2*n + 7. Let v(w) = -2*w**2 + 2*w**2 - w**2 + 2*w**2. Give i(v(o)).\nAnswer: 2*o**2 + 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -8 - -c0a0?\nAnswer: c097","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 14120321024 + -3?\nAnswer: 14120321021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is f in -10\/3*f**4 - 14\/3*f**3 + 0*f + 0 - 2\/3*f**5 - 2*f**2 = 0?\nAnswer: -3, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3110455, -6220906, -9331357, -12441808?\nAnswer: -15552259","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 40275 is divided by 19300?\nAnswer: 1675","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -144 + 269 = f. Is f a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7586 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1.4745 * -0.02.\nAnswer: 0.02949","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -136463887\/13 or -10497221?\nAnswer: -136463887\/13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -3*o + 15. Let p be a(4). What is k in -3*k - 10\/3*k**2 - k**p - 2\/3 = 0?\nAnswer: -2, -1, -1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = 21*d - 1351. What is b(64)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(234)\/sqrt(2) + -4)*5 + 5 + ((sqrt(143) - sqrt(143)*1)\/sqrt(11) - sqrt(13))*4)*-6.\nAnswer: -66*sqrt(13) + 90","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12472303?\nAnswer: 19, 401, 1637","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-356)\/(-9)*(-57)\/38)\/((-636)\/(-954)).\nAnswer: -89","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -w - 17. Suppose -3*g = 5*y + 11, -g - y = 3*g + 26. Determine b(g).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000014870989 rounded to 7 decimal places?\nAnswer: 0.0000015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 + 7 = 2*j. Suppose -5 - 3 = -j*m. Let x = 4 + m. Solve -2*b = 5*a, -3*b + x = 5*a + 1 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(9\/7))**36*(d*d\/d**8)**(-43) assuming d is positive.\nAnswer: d**(2130\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 386 minutes before 9:36 PM?\nAnswer: 3:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*w**2 - 9098980*w - 291162240.\nAnswer: -5*(w + 32)*(w + 1819764)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2 + 3\/((-12)\/(-40)). Let o be (h\/(-14))\/(1\/7). Is 974\/8 + o\/8 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (4\/6)\/(19\/(-114))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -225932601.39 to the nearest 1000.\nAnswer: -225933000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + sqrt(44)\/(sqrt(44)\/sqrt(99)).\nAnswer: 5 + 3*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -233281 or -233252?\nAnswer: -233252","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) be the second derivative of -5*c**4\/12 - 80*c**3\/3 - 155*c**2\/2 + 133*c. Factor q(k).\nAnswer: -5*(k + 1)*(k + 31)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1485716 (b) 0.1 (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 54097 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/5*1690\/(-507).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f - 11833 = 5*n - 1803, -3*n - 6018 = -3*f. Suppose 0 = -27*b + 4164 - 6. What is the tens digit of n\/(-14) - 44\/b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6320 minus 36255948?\nAnswer: -36262268","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 64451 (base 7) to base 3\nAnswer: 210221222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1 - 455?\nAnswer: -456","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 12 + -14.2. Let d = w + 3.2. Let z = 0.7 - -0.3. Which is the nearest to d? (a) 1\/3 (b) -0.5 (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*4*sqrt(96)*2)\/((-6*sqrt(72)*1)\/((sqrt(6) - ((sqrt(726) - -2*sqrt(726)) + sqrt(726))) + sqrt(6))).\nAnswer: -672*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u + 349 - 1224 = 0. Let n be u\/55 + 3 + (-448)\/(-44). Solve q = 0, -4*a + 6*a + 3*q = -n for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -682, -688, -698, -712?\nAnswer: -730","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = t**3 - 593*t**2 - 179*t + 106123. Give f(593).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -8 - -1c?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 divided by -17164.\nAnswer: 1\/8582","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.027737 to one decimal place.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 4934.923 years in millennia?\nAnswer: 4.934923","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -c**3 + 4*c**2 + 2*c + 1. Let o be z(4). Let t be (-3)\/(-9)*3 - o. Let f be (-2 + 3)*(-2)\/t. Is f <= 1\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-2)\/(-6) - 539\/(-21). Let d = m + -6. What is the units digit of d?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 0 + 2)*(1 - 11 - 20)*(2*c**5 - c**5 + 2*c**5) - 2*c**5 - 4*c**2 + 4*c**2.\nAnswer: 178*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*q = 3*d - 10*q - 4081, 2*q - 2 = 0. Is d a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -54196*-0.3\nAnswer: 16258.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*a - 16 = 17*a. Let t(o) = o**3 - 4*o**2 - 2*o + 8. Let n be t(a). Let l(k) = -k**2 + 45. Does 15 divide l(n)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 3\/2, 5\/3, -24?\nAnswer: -24","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2314 or -2310?\nAnswer: -2310","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 5, 1, -153865, -2.\nAnswer: -153865, -3, -2, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000821 rounded to seven decimal places?\nAnswer: -0.0000082","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dddhddddddxdv. Give prob of sequence dd.\nAnswer: 15\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -70 + 70.0125. Round u to three decimal places.\nAnswer: 0.013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 147845?\nAnswer: 5, 29569","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -36708 or -183533\/5?\nAnswer: -36708","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -w**3 + 8*w**2 + 5*w + 2. Let m be y(4). Let q = m + -55. Is q prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) be the second derivative of 241*h**5 + 2281*h**3\/3 - 396*h. What is the second derivative of w(i) wrt i?\nAnswer: 28920*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-24)\/(-8)*2\/(4*(-9)\/114)?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 2 + 807?\nAnswer: 809","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.16 and 9.\nAnswer: 1.44","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -11211102122 (base 4) in base 14?\nAnswer: -2a1482","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/173*(-26)\/52\nAnswer: 2\/173","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 9241923, 18483884, 27725843, 36967800?\nAnswer: 46209755","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 16732 and 564.\nAnswer: 50196","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = m**3 - 6*m**2 + 5*m. Let o be z(5). Suppose o = -y - 4*k + 21, 0 = y + 3*k - 23 + 6. Let f = 0 + y. Solve -3*a - 4*n = -2 - f, -3*n = 2*a - 4 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5 by 272.\nAnswer: 5\/272","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j - j + 13 = 5*w, 4*w - 14 = 2*j. Let z = 4 + w. Calculate the remainder when 11 is divided by z.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -25, -1, 41, 107, 203?\n\"Answer: w**3 + 3*w**2 + 8*w - 37","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 144467344.\nAnswer: 2, 7, 359, 3593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*c**3 - 2*c**3 - 16*c**3 + 7*c**3.\nAnswer: -6*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bbbbbbbbbwbbbbbwbbb. Give prob of picking 1 w and 3 b.\nAnswer: 20\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2433 or -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 2 (base 8) to base 15\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + 2*v + 3645 = 0, -4*m + 2*v + 3187 + 1671 = 0. Is m a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 25983*z**5 - 18549*z + 2.\nAnswer: 519660*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-k**2 + 0*k**2 + 0*k**2)*(3*k**3 + 3*k**3 - 4*k**3) - k**5 + k**2 - k**2 - 454*k**5 + 25*k**2 + 909*k**5 - 454*k**5.\nAnswer: -2*k**5 + 25*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express 126 + 8*c**2 - c**2 - 30 - 330 as o*c + u + q*c**2 and give q.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 25\/10*525\/1000*-24*(-8)\/(-14)\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3.54 + -0.34. Let s = 3 - p. Suppose w = -2*k + 3, -6*k - w = -2*k - 3. What is the nearest to k in 3\/4, s, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -882*f**2*j**2 - 2*j**2 + 170*j wrt f?\nAnswer: -1764*f*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Determine a, given that -46*a**5 + 12010*a**4 - 957752*a**3 + 24967352*a**2 - 48200640*a + 4003200 = 0.\nAnswer: 2\/23, 2, 60, 139","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 22 - 23. Do 0.03 and k have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1470*c**3 - 1471*c**3 + 2068*c**2 - 28 + 26 to the form j*c + o*c**2 + d + i*c**3 and give i.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -3*h + 21. Suppose -3*v - 9 = -2*v + k, v - 3 = 5*k. What is the remainder when o(v) is divided by 22?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine d, given that -5*d**3 - 5*d - 18*d**4 - 20*d**5 + 3*d**4 + 12*d**3 + 18*d**3 + 15*d**2 = 0.\nAnswer: -1, 0, 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 96 and 10352?\nAnswer: 62112","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -201, -178, -117, 0, 191, 474, 867?\n\"Answer: 3*o**3 + o**2 - o - 204","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 394\/12445 bigger than -7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is one sixteenth of a millimeter in nanometers?\nAnswer: 62500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 1, z: 1, s: 1}. What is prob of sequence ts?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1466553 is divided by 237?\nAnswer: 234","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -28411, -55091, -81771?\n\"Answer: -26680*z - 1731","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 8\/3, 17 in ascending order.\nAnswer: 8\/3, 4, 17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 76 a factor of 39976?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is six fifths of a gram in milligrams?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1289, -2506, -3675, -4802, -5893, -6954, -7991?\nAnswer: -9010","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -22075 + 22073. What is the closest to -0.3 in -6\/79, 5, l, 3?\nAnswer: -6\/79","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3054986, -3054983, -3054980, -3054977, -3054974, -3054971?\nAnswer: -3054968","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 1, q: 3, s: 2, w: 3, t: 5, f: 1}. Give prob of picking 2 s.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -y**2. Let w(q) = -9800*q. What is w(a(i))?\nAnswer: 9800*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -15\/304672 and 31\/95210?\nAnswer: 1523360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -82, -119, -154, -187, -218, -247?\nAnswer: -274","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2727571209?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -332 - -11?\nAnswer: -321","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 91369*r**4 - 4*r**3 - 2*r - 273365 wrt r?\nAnswer: 365476*r**3 - 12*r**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1*(-2)\/4*(-1023 - -971)?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*b + 2*b - 5*b. Sort b, 1\/6, -0.3, -0.4 in decreasing order.\nAnswer: 1\/6, b, -0.3, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -6*z**2 - z + 1. Determine c(-1).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 3\/50 of a gram?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -25 + 19. Let x = 81.95 - 82.02. Is x <= t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 389067559?\nAnswer: 17, 1093, 20939","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*s = 71 - 377 for s.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -12 (b) -0.1 (c) 0.157\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2 or 0.730511?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -11*v*x**2 - 7*v*x + 27380*v - 690475*x**2 - 10*x - 3 wrt x?\nAnswer: -22*v - 1380950","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2 - (-1 - -2)*-2. Suppose -z - r + 0*r - l = 0, -12 = -2*z + 2*r. Let v = z - -2. Solve 4*q + 5 = v*n, -2*n - 4*q = -0*n + 10 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 37, 207, 379, 553, 729?\nAnswer: 907","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -135, -580, -1325, -2370, -3715, -5360?\nAnswer: -7305","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*u = -2*u + 14825. Calculate the remainder when u is divided by 35.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 125 is divided by 42.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 11805 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x + 3*n - 3 = 0, 3 = -3*x - 8*n + 3*n. Suppose 3*u = 5*z - 508, -5*z + x*u = -z - 400. Suppose 41 = r - z. Is r a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.7876 + -0.5177. Round b to two dps.\nAnswer: 0.27","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = b - 5. Suppose 0 = -3*r + 5*c + 172, -3*r = -4*c - 155 - 18. Let y = 64 - r. What is l(y)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.3 - 0.2. Let u = -13262 - -13261. Let s be 2\/8*6*-2. Which is the third biggest value? (a) s (b) u (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -17*a - 6 + 6. Suppose a = -276*c + 293*c - 1207. What is the remainder when c is divided by 46?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 736 divided by -69.\nAnswer: -32\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -d**2 - d - 4. Let j be c(0). Calculate the common denominator of 15\/(-66) - 8\/j and 37\/20.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 1062 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.72553 - -64.41207. Let w = v - 65. Round w to 3 decimal places.\nAnswer: 0.138","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -11 + 8. Let p = -504 - -501. Let r = z - p. Which is smaller: -1\/68 or r?\nAnswer: -1\/68","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (0 + (0 - -1))\/((-1)\/(-5)). Solve h*y = -9 - 6 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = 2*x - 12. Let d = 0 + 0. Is 7 a factor of (4 - x) + d + 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + 1 = n, n - 127 = -7*d - 130. Let g = -2 - -2.27. Which is the smallest value? (a) g (b) d (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = w**2 + 4*w - 1. Determine s(3).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) be the second derivative of -t**5\/10 + 25*t**4\/12 + t**3\/3 + 31*t**2 - 142*t. What is the second derivative of r(b) wrt b?\nAnswer: -12*b + 50","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -539*x. Let b(u) = 178*u. Calculate m(b(g)).\nAnswer: -95942*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -80 - -377b?\nAnswer: 36fb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 11\/(44\/(-376))*85\/(-3825)*45?\nAnswer: 94","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 900975486?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s = s + 3*f - 2, 4*f = -5*s + 28. Let h = 0 + 0. Suppose 2*p - s*c + c - 42 = h, 4*c - 29 = -3*p. Is p composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 24 and 12232.\nAnswer: 36696","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -2*h**3 + 36*h**2 - 183*h + 2575. Determine d(16).\nAnswer: 671","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -950 + 950.2. Let n = -3.7 - -4. Let u be (-2*(-4)\/56)\/(-1). Which is the fourth biggest value? (a) r (b) 5 (c) u (d) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 99299 is divided by 9761.\nAnswer: 1689","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -9*j + 8 + 19. Let i be 11 + j\/(12\/20). Suppose 2 - i = -2*o. Solve 3*h + o = 1 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2570*o - 454*o + 366*o.\nAnswer: 2482*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -6 + 3*x + 2*x + 2 + 2. What is the units digit of t(3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 - 7 - 0 - (72 - 51 - (52 - 6)).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l = 6*i - 5*i - 42, -69 = -2*i + 5*l. Let x be 1 + (-2 + 5 - 1). Let s(d) = 6*d + 2. Calculate the smallest common multiple of i and s(x).\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 78*r + 72*r - 7683 + 16177 = 13*r for r.\nAnswer: -62","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -5*p**6 + 199*p**5 - 199*p**5 + 16*p**2 - 3*p**6 wrt p.\nAnswer: -960*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1034228 is divided by 1178.\nAnswer: 1122","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 10994327 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 23\/1448 and -16\/9395891.\nAnswer: 75167128","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(45)\/(-1*sqrt(729)) - 3*((sqrt(320) + sqrt(320)*1 - sqrt(320)) + sqrt(320))**2.\nAnswer: -3840 - sqrt(5)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 714 minutes after 2:28 PM?\nAnswer: 2:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -t**2 + t. Let c be x(1). Let v be 1 + 6 + -4 - 1. Let a = v - c. Solve a = -u + 7 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3723747?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 5, m: 2, v: 1, u: 1, c: 2, t: 2}. What is prob of picking 2 t, 1 m, and 1 u?\nAnswer: 2\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -11 (b) 8267 (c) 11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -563 = -8*i + 7*i. Is i composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36*i**5\/7 - 318*i**4\/7 + 934*i**3\/7 - 1080*i**2\/7 + 536*i\/7 - 96\/7 = 0. Calculate i.\nAnswer: 1\/2, 2\/3, 3, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 21141751 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3249615 by -15.\nAnswer: 216641","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3.17 or -1?\nAnswer: -3.17","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Work out 225311 + -1302120.\nAnswer: -1076809","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (-30)\/(-4)*(540\/25 + -22)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -13\/238066 and -42.\nAnswer: 238066","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k = -4*u + 220, 0 = 7*u - 3*u. Suppose -4*d = -0*d + 5*y - 198, 4*y - k = -d. What is the units digit of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.6 times -1.44\nAnswer: -0.864","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 1359540 rounded to the nearest one hundred thousand?\nAnswer: 1400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -9811, -10735, -11659?\n\"Answer: -924*a - 8887","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 12 and 2068395.\nAnswer: 8273580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 185490 and 2673.\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00001128431 to 7 dps.\nAnswer: 0.0000113","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 260 and 143?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put -13, 5, -30, 1 in ascending order.\nAnswer: -30, -13, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*q - 25126*c + 25124*c - 14, -2*c = -5*q + 16 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -64.7387 + 3103.0687. What is i rounded to the nearest 100?\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -3198 >= -3210?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) be the first derivative of 164*i**4 + 566*i**3\/3 - 145. Find the third derivative of a(m) wrt m.\nAnswer: 3936","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*n + 76 = 5*s, 64*s = -3*n + 60*s + 67 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express x**2 + x - x + (x - 2*x + 0*x)*(0*x - 2*x + 0*x) + (-1 - 2*x + 1)*(x - 2*x - x) in the form i + r*x + d*x**2 and give d.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) be the first derivative of -66*h**3 + h**2 + 69*h + 107. What is the second derivative of f(v) wrt v?\nAnswer: -396","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*o + 3*o + 0*o + 6)*(-40*o - 103*o**2 + 40*o).\nAnswer: -103*o**3 - 618*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x + 19 - 1 = 0. What is the remainder when 25 is divided by x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 740 and 127206?\nAnswer: 1272060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(405) + sqrt(405) + 1)*3)**2 + sqrt(405) - sqrt(25)\/sqrt(5)*-1*2.\nAnswer: 335*sqrt(5) + 14589","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/3 of a hour in seconds?\nAnswer: 4800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -118, 11, 24 in descending order.\nAnswer: 24, 11, -118","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -3457*w. Let a(d) = -3*d. Determine a(n(f)).\nAnswer: 10371*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = h**2 - 13*h - 2*h**2 + 2 + 1 + 4*h. Suppose 15 = 4*c - c. Calculate the least common multiple of c and g(-9).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + 4*y = -2, 0 = -d + y - 0 + 3. Suppose 2*t = 4*u - 0*t - 512, d*u - 5*t = 645. Calculate the remainder when u is divided by 3 - (0\/2 + -29).\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -1, 18, 2 in descending order.\nAnswer: 18, 3, 2, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q - 5*l = -168700, -17*q - 33736 = -18*q + l. List the prime factors of q.\nAnswer: 2, 3, 5623","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2226 is divided by 438?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + -1*sqrt(98)*5)**2 + 2.\nAnswer: 280*sqrt(2) + 2468","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 32200 and 36680?\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Determine r, given that -5*r**3\/3 - 107*r**2 - 379*r\/3 - 21 = 0.\nAnswer: -63, -1, -1\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1 take away -9104.2?\nAnswer: 9104.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 109\/1792 and 9\/47264.\nAnswer: 378112","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = f - 2. Let a be y(6). Find the third derivative of -2*j**2 - 112*j**a + 118*j**4 - 4*j**2 wrt j.\nAnswer: 144*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 523128, 1045732, 1568336, 2090940?\nAnswer: 2613544","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 584 minutes before 12:10 PM?\nAnswer: 2:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 4953 + -29863\/6. What is the common denominator of 13\/2 and c?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -301 + 301.3. Which is the closest to 0.2? (a) -0.5 (b) m (c) 183\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) be the third derivative of -d**6\/120 - d**3\/2 + 6*d**2. Let m be v(-3). What is the highest common factor of m and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 28464769 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 4181989966 + -7?\nAnswer: 4181989959","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*x - 34 - 23. Suppose 2*u + 1 = x. Suppose -u*m + 2249 = 584. Is m prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 30 + -19. Let n(t) = -6*t + m*t - 7*t. Let w(s) = s**2. Give w(n(r)).\nAnswer: 4*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -p**2 - 9*p + 17. Let k be t(-12). Let x = -19 - k. Suppose 10 + 23 = a + 3*y, x = -3*a + y + 69. Calculate the highest common factor of 24 and a.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1286 (base 11) in base 4?\nAnswer: -122003","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 182 divided by 26\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 11747 to the power of 1\/6, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1940*0.5.\nAnswer: -970","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 91*u**3 - 2486 + 5290 - 694*u**3 + 29*u**3 - 4378 wrt u?\nAnswer: -1722*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-6)\/(-10) - (-9)\/(-15). Suppose z + n*x - x = 0, 5*z - 2*x - 9 = 0. Suppose -o + 10 = 3*i, -4*i + 22 = 3*o - z. What are the prime factors of o?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 473 - 463 - 1*16?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bbbutssstbt. Give prob of picking 1 b and 1 t.\nAnswer: 12\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = 14*o - 21. Let p(u) = -9*u + 127. Let s be p(13). Let x(a) = -46*a + 64. Let h(i) = s*w(i) + 3*x(i). Determine h(13).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1246, -1, 0.\nAnswer: -1, 0, 1246","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 4599 and 865629.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-7)\/(-54)*17001\/3778?\nAnswer: 7\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 76778017469 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*s - 176 = -26*s. Let a = 28 + 40. Let o = a - 36. Calculate the remainder when o is divided by s.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ssdd when four letters picked without replacement from {d: 6, s: 4}.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 201156, 201152, 201134, 201096, 201032, 200936?\n\"Answer: -q**3 - q**2 + 6*q + 201152","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 1, m: 1, x: 5, g: 2, a: 3}. What is prob of sequence aba?\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b + 124 = 34*b. Solve -b = 4*n - 0*n for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6728?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1023 - -1631?\nAnswer: 605","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: 2, b: 1, n: 1, y: 2, m: 1}. What is prob of sequence bmn?\nAnswer: 1\/336","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) be the second derivative of 2*g**2 - 8*g + 0 + 3\/2*g**3. What is the first derivative of m(z) wrt z?\nAnswer: 9","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6*j - 2*j**3 + 909 + j - 1831 - j**4 + 926 - j**2 to the form k*j**2 + o*j**4 + b*j + q*j**3 + f and give o.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) be the first derivative of 5*f**2\/2 + f - 20. Calculate l(2).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 703 and 4997?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 73417 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -7*w**3 - 110*w**2 - 21*w - 35. Let z be v(-17). Calculate the greatest common factor of z and 79.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -10\/201143?\nAnswer: -10\/201143","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*f + 2*f - 29*f**3 - 2*f.\nAnswer: -29*f**3 + 6*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 8 - 32. What is the remainder when 25 is divided by (6\/(t\/4))\/(2\/(-18))?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c = b - 20, 4*b + 10 = c + c. Let p be (14\/(-3))\/(3 + 1). Which is smaller: b or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 112 + -107. Suppose -3*v - q = -17, 5*q + b = -0*q. Calculate the least common multiple of 3 and v.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (10\/260)\/(-37*(-67)\/4576234).\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) be the third derivative of 0*u**5 + 1\/60*u**6 + 1\/6*u**4 + 0*u + 188*u**2 + 0 - 37\/3*u**3. What is the derivative of j(t) wrt t?\nAnswer: 6*t**2 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2106 by -234.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 21 + -1 + 4 + -17?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 0.9245363 milliseconds?\nAnswer: 924.5363","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 4 - 4. Let p be 16\/4 - (2 + f). What is the units digit of 10 + 0 - (1 + p)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10111 (base 2) in base 11?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -6 in 4\/3, 0.563, -183?\nAnswer: 0.563","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -4200161, -4200165, -4200181, -4200215, -4200273, -4200361, -4200485?\n\"Answer: -m**3 + 3*m - 4200163","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1 and -0.470151.\nAnswer: 0.470151","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 4, t: 2, k: 1}. Give prob of picking 3 d and 1 k.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = 5310*n - 5309*n - 36 + 45. Give g(-6).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z*z\/z**10)\/((z*z**(4\/7))\/z))\/(((z*(z\/(z*z**(2\/33)*z*z))\/z)\/z)\/z*z**18) assuming z is positive.\nAnswer: z**(-5200\/231)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wwwwwwyywwwywwwwwwww. Give prob of picking 3 w and 1 y.\nAnswer: 8\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 1, i: 3, y: 1, o: 2, r: 4, m: 1}. Give prob of sequence yo.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1 - -4. Let a(h) = -4*h + 14 - 1 + s*h. Is 11 a factor of a(-9)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p*p*p**2*p*p\/(p**(-2\/23)\/p)*(p\/(p\/((p\/(p**4\/p))\/p)))\/p**(-3\/4) assuming p is positive.\nAnswer: p**(445\/92)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Determine q, given that 35*q**3 - 12545*q**2 + 638550*q = 0.\nAnswer: 0, 430\/7, 297","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: Suppose r + 3 - 228 = 0. What is the tens digit of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -3*p + 4*n + 16, -4*p = 4*n - 28. Suppose 4*t - 12*t = -p. Let x be t\/(-2) - 17\/(-2). Solve -6*b + 4*b - x = 0 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 40104 is divided by 1164.\nAnswer: 528","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (4\/(-6))\/(((-15)\/(-108))\/((-145)\/(-174)))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express 4 - 1 + 7 + 0 + 2*z in the form m*z + o and give m.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 26 a factor of 49?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (6 - (198\/30 + 0)) + (-2497)\/55 + -14?\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 2014 divide 36151300?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = 7*s**2 - s. Let z be d(1). Suppose 3*r = -j - 3*j + z, j = 0. What is the second derivative of -2*v - 18*v**r + 7*v**2 - v + 9*v**2 wrt v?\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -642, -6852, -23720, -56574, -110742, -191552, -304332, -454410?\nAnswer: -647114","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 404312.8 litres?\nAnswer: 404312800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1220602?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -7 (b) -0.8 (c) 5 (d) -70636\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -1937.12159217 take away 5?\nAnswer: -1942.12159217","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 3*x - 6. Suppose 3*u + v - 12 = -0*u, 5*v = -x*u. Is u a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -7391383 divided by -103\nAnswer: 71761","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -j**3 - j**2 - 3*j - 3. Let h(s) = -4*s**3 - 2*s**2 - 8*s - 10. Let i(q) = 2*h(q) - 7*y(q). Determine i(4).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 52515 is divided by 1405.\nAnswer: 530","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 221 is divided by 36.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 16884313 (base 9) to base 16\nAnswer: 81b1d2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = l**4 - 2*l**2 - 4. Let q(u) = -1869*u**4 - 34*u**2 + u - 7040. Let w(a) = 17*f(a) - q(a). Differentiate w(v) with respect to v.\nAnswer: 7544*v**3 - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14959.19 rounded to the nearest 100?\nAnswer: 15000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*n**2 + 21*n**3 + 31*n**3 - 3*n - 50*n**3 - 5 + 1 to the form l*n**2 + g*n**3 + r + t*n and give g.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 126495 and 12.\nAnswer: 505980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k + 2*p + 153 = 0, 63*k - 58*k + 3*p - 108 = 0. Calculate the least common multiple of 943 and k.\nAnswer: 25461","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + (-1 - (3 + -2 - 3))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 80\/(-12)*(1 + -4). Let k be 14\/(-4)*m\/(-7). Find the second derivative of 4*o - k*o - 2*o**2 + 0*o**2 wrt o.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (9 - 10) + 0 + -16.\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 2\/((40\/2)\/2)\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -6*p**3 - 24*p**2 - 95*p + 136915?\nAnswer: -18*p**2 - 48*p - 95","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express 22 - 4*s**4 - 18 - s**2 + s**4 - 4*s**4 as r*s**2 + d + a*s**4 + p*s + l*s**3 and give d.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(10\/9)\/(y**(-2\/11)*y))\/(y**10*y\/(y*y*y**(-2\/7))) assuming y is positive.\nAnswer: y**(-6232\/693)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 139124 to the power of 1\/4, to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 141 divide 982094?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + ((sqrt(605) - (-2 + sqrt(605)))*-1*-3 - (-2 + sqrt(605)*2 + 3))**2*-4.\nAnswer: -9779 + 880*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = 6*n - 14*n - 26*n - 2*n. Let c(i) = -i**2. Calculate c(y(g)).\nAnswer: -1296*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.5, 0.02, -0.5, 3\/17 in ascending order.\nAnswer: -0.5, 0.02, 3\/17, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/16)\/((-138)\/3312).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x - 10 + 6 = 0. Is 293\/((-3 - x\/(-2))\/(-2)) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 16656 - 16656.4. Which is bigger: x or -75?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 1 + 1060*z**2 + 1053*z**2 - 2114*z**2.\nAnswer: -z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 16620, 16621, 16622, 16623, 16624?\n\"Answer: s + 16619","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + (-4 + 4 - 5) + 6?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 3 + (-1 - 4) + 1. Let k be ((-9)\/(-27))\/(g\/(-15)). Let d be (-6)\/(-3)*-1 + k. Solve -3*s - 15 = -3*l, -l + 12 = -3*s + d for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3498 is divided by 3436.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.570271nm in centimeters?\nAnswer: 0.0000000570271","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -116 - -136613212?\nAnswer: 136613063","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2\/17 (b) -0.163 (c) 0.1 (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -5? (a) 0.12 (b) -1\/4 (c) 73189 (d) -0.02\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*y = -5*i - 11*y + 30, -4*i = -3*y + 3. Let z = 1 - -10. Suppose -4 = -5*x + z. Solve 32 = -5*g - x*n, i*n = 3*g - 0*n for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 65\/159 less than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = t**3 - 12*t**2 + 10*t - 4. Let o be s(11). Let c = o - -10. Put -8, c, -0.4 in increasing order.\nAnswer: -8, c, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p and 2 q when three letters picked without replacement from {v: 2, b: 1, g: 1, d: 1, q: 7, p: 2}?\nAnswer: 3\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -41 - (1128 - 1142 - (-1 - -67))?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6714 is divided by 3319?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1473818 and 954868?\nAnswer: 67795628","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 258 - 256. Suppose u*n - 14 - 12 = 4*b, -4*n - b = -7. Solve 4 = v + n*v for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -563 or -564?\nAnswer: -564","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 23\/10 and -29\/3837925?\nAnswer: 7675850","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30*d = -35*d + 330. Does 6 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = 11*c**2 + 2*c - 1. Let n be h(1). Let s(a) = a - 18. Let j(w) = 3*w - 35. Let z(d) = 3*j(d) - 5*s(d). List the prime factors of z(n).\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((20\/25)\/((-1)\/5))\/(-34)\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 8118442?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2 = -4*a + 2239*r - 2241*r, 0 = -4*a + 3*r + 7 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (7 + (-7)\/21)*24\/20. Suppose d*q - 3*q - 25 = 0, 3*v - 89 = -q. Solve 10*m - 3*m = -v for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -4*o**2 - 4*o**2 + 7*o**2 - o**2 - 34. Let m(y) = 42*y**2 - 11*y + 11. Let j(q) = 23*q**2 - 6*q + 6. Let h(r) = 11*j(r) - 6*m(r). Calculate h(c(u)).\nAnswer: 4*u**4 + 136*u**2 + 1156","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 44406?\nAnswer: 2, 3, 2467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b - 29 = -b - 4*d, -4*b - d = -17. Suppose -w + b*w = -5*g + 2508, 488 = g - 3*w. Suppose g = 6*j - 352. What is the units digit of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 290680596 is divided by 192122.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -25, -142, -461, -1084, -2113, -3650?\n\"Answer: -17*a**3 + a**2 - a - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 464?\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 24.612 to 1 dp.\nAnswer: 24.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 100*h - 117378 = -97199 + 422621. What is the units digit of h?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2869773 and 15933?\nAnswer: 141","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: ((-5)\/153)\/(3848\/(-156) - (-4 - -7 - 26))\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:09 PM and 6:39 PM?\nAnswer: 270","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -17 + 77 + (-13 - -33 - 16)?\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 17613 and 7119.\nAnswer: 13931883","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 w and 2 f when four letters picked without replacement from {r: 2, w: 4, f: 10}.\nAnswer: 27\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 3 and 42682.1.\nAnswer: 128046.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2080.8 + -2077.8. Which is the nearest to f? (a) -14 (b) 0.8 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = 323*l - 39358. Determine p(120).\nAnswer: -598","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3025\/7 + 431. Which is the closest to 2? (a) 2\/7 (b) 1 (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 9 and 414.\nAnswer: 3726","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -3550 + 2?\nAnswer: -354b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11180 = -43*y + 42*y - 5*z, 5*y - 4*z = 55958. List the prime factors of y.\nAnswer: 2, 3, 5, 373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = y**4 - y**2 - y. Let d(p) = -2*p**4 - 6*p**3 + 10*p**2 + 2*p. Let n(m) = -d(m) - 4*t(m). Factor n(z).\nAnswer: -2*z*(z - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1459 and 0.2.\nAnswer: -291.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mqq when three letters picked without replacement from qqqqmqmqmqmmqqqqmq?\nAnswer: 11\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2.642 in -0.5, -0.3, 43.4, 2\/7?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -b**2 + 7*b + 2. Let g be (4 - 6)*2*-2. Determine p(g).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in seven thirds of a year?\nAnswer: 28","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 21\/(7\/1)*(0 + -6). Is 27 a factor of 3963\/21 + c\/(-63)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 16 and 4?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 255 minutes after 2:04 PM?\nAnswer: 6:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -95 + (-49 - -36 - -15) + (-3 - -1) + 2.\nAnswer: -93","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 89300 and 1269.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 z and 1 a when three letters picked without replacement from {z: 5, a: 13}?\nAnswer: 65\/408","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 127087 divided by 127087\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*n + 4*n + 13*n.\nAnswer: 21*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence inn when three letters picked without replacement from {n: 12, i: 3}.\nAnswer: 66\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = 33*w**3 - 5*w**2 - 14*w + 40. What is the hundreds digit of b(4)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j - 5*f - 92 = 0, -2*j + 158*f = 162*f - 56. Solve 0 = -j*g + 6 - 78 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1524 is divided by 255.\nAnswer: 249","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 342\/9 - 44 - (-2141206)\/1. Round p to the nearest 100000.\nAnswer: 2100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.1 + -12.1. Let w = -4.7 - -4.77. Let u = -4.93 - w. Which is the biggest value? (a) 2\/5 (b) r (c) -0.2 (d) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5915 to the power of 1\/5, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m + 3*m = -259. Let o = m - 33. Suppose o + 638 = 9*w. What are the prime factors of w?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 289 + 118*v**3 + 281 - 570 + 71*v**3.\nAnswer: 189*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eeeceeeecc. What is prob of picking 2 e?\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t**(2\/3)\/t**(7\/3)*t**3*t*t*t**2 assuming t is positive.\nAnswer: t**(16\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -24 + 3*a**2 + 48 - 24.\nAnswer: 3*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -42 = -4*d - 3*x + 18, d = -3*x + 24. What is the units digit of (1 + 0)*(7 + d)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve b = -5*r + 44 - 14, 19 - 39 = -4*r - 0*r for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -305*k**2. Let a(o) = -762*o**2. Let n(b) = 5*a(b) - 12*v(b). Let s(d) be the first derivative of -d**2\/2 + 17046. Give n(s(p)).\nAnswer: -150*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 492 divided by 4.\nAnswer: 123","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 140 and 2?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 5522.903 to the nearest one hundred.\nAnswer: 5500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 386506\/27 + -14313. What is the common denominator of -46\/33 and o?\nAnswer: 297","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*p**2 + 2*p**2 - 3*p**2)*(0*p + 0*p + p**3) + 32*p**5 - 19*p**5 + 13*p**5.\nAnswer: 27*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 5.51 - 10.51. Let y = -11\/6 - -4\/3. What is the nearest to 2\/9 in m, y, -1?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -5*p**2 - p - 4. Let h(a) = -29*a**2 - 24. Let i(m) = -h(m) + 6*q(m). Suppose i(t) = 0. Calculate t.\nAnswer: -6, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2259 + 4275. What is the thousands digit of n?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 312778876?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 102, 389, 882, 1593, 2534, 3717?\n\"Answer: 2*n**3 + 91*n**2 + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1628 at least as big as 1626?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*t + 3*w + 39, 3*t - 2*w = -5*w + 3. Let n(v) = -v**2 + 7*v + 6. Calculate n(t).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 413720546?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -61\/6431370 and -81\/17150320?\nAnswer: 51450960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2331 + 213*i + 2337 - 4692 - 716*i.\nAnswer: -503*i - 24","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1182?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) be the third derivative of -2*a**2 + 1\/150*a**5 - 1\/900*a**6 + 0 - 1\/3*a**3 - 1\/60*a**4 + 0*a. Let w(h) be the first derivative of l(h). Factor w(c).\nAnswer: -2*(c - 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -6*r. Let v be 9\/(-7) - (-4)\/14. Let f = -49 - -66. What is the remainder when f is divided by s(v)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 10, 27, 56, 103, 174, 275, 412?\n\"Answer: j**3 + 10*j - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*v + 464 = -6*v. Let y = v + -75. Suppose 2*g = 5*m + 30, -4*g + y = -2*m - 3. Calculate the highest common divisor of g and 40.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 divided by 192237912?\nAnswer: -5\/192237912","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s - s = 5*d - 2085, 5*s + d = 2601. Suppose 2*z = -306 + 320, -3*h - 2*z = -74. Calculate the highest common factor of s and h.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -232383*h**2 + 9*h**3 + 232383*h**2.\nAnswer: 9*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2304?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) be the second derivative of t**4\/12 - t**3 - 5*t**2\/2 + 4*t. What is n(5)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -158*w**3 - 137*w**3 - 166*w**3 - 129*w**3 + 545*w**3.\nAnswer: -45*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -6*u - 5. Let d be k(-2). Suppose 0 = d*w - 82 - 2. Let p = 30 - w. Calculate the greatest common factor of 90 and p.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -m**3 + m**2 + m - 1. Let x(v) = 4*v**4 + 4*v**3 - v**2 - 4*v + 4. Let n(o) = -x(o) - 4*y(o). What is the third derivative of n(t) wrt t?\nAnswer: -96*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*x = -6*x + 400. What is the remainder when 273 is divided by x?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 3, b: 6, q: 2, e: 2, k: 6}. Give prob of sequence bq.\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) be the first derivative of o**7\/210 + o**6\/60 - o**4\/12 - o**3\/6 - 15*o**2\/2 + 11. Let l(b) be the second derivative of i(b). Factor l(j).\nAnswer: (j - 1)*(j + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -27 + 19. Let q = w - -12. Let k be 6\/4 + (-3)\/(-6)*-4. Put -13, k, q, -3\/7 in descending order.\nAnswer: q, -3\/7, k, -13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -98*z**2 - 495*z - 21. Calculate u(-5).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(99)*1*6)\/(sqrt(225) + sqrt(225) + 1*sqrt(225) + sqrt(225) + sqrt(225)) - (sqrt(44)*2 + (sqrt(11) - (-3*sqrt(66) + sqrt(66))\/sqrt(6)))*4.\nAnswer: -694*sqrt(11)\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -49 = -4*f - 9. Let s = f - 10. Suppose 2*j - 4*w - 40 = s, 7*w - 25 = -4*j + 4*w. Is 3 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*o**5\/11 - 1042*o**4\/11 - 137276*o**3\/11 - 405596*o**2\/11 - 403522*o\/11 - 134162\/11.\nAnswer: -2*(o + 1)**3*(o + 259)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 94148*i**6*u**2 - 2*i**4*u**3 + 2*i**2*u**3 - 2*i**2*u**2 + 70114*i*u**3 - i*u + 3 wrt i?\nAnswer: 11297760*i**3*u**2 - 48*i*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = x**3 + 5*x**2 - 4. Let m be n(-5). Let s be m\/14 - (-210)\/49. Suppose -f + s*f - 24 = 0. Solve -k + f = k for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (24\/(-20))\/(4\/(-10)). Let n(x) = 0*x + x**3 - x**2 + x + 6*x**f. Let c = 3 + -2. Determine n(c).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -3, 0.1, 0, -0.222, 0.01, 0.7?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0003376158564 to 6 decimal places.\nAnswer: 0.000338","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.548790644 to 2 dps.\nAnswer: -0.55","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 3236515193 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 1554\/(-1036)*(-2744)\/92 + -45?\nAnswer: -6\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1.98 - 4.98. Which is the nearest to 4\/5? (a) 0.3 (b) -1 (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + sqrt(832) + ((sqrt(130) + sqrt(130)*-2)\/sqrt(10))**2.\nAnswer: 13 + 8*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 21177056?\nAnswer: 2, 79, 8377","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -26\/149 and 31\/27863?\nAnswer: 27863","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -14904 divided by 3?\nAnswer: -4968","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put -14, -0.4, 0.124 in descending order.\nAnswer: 0.124, -0.4, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand 6 + 2*j - 3 + 7 + (-2 + 4 - 3)*(10*j - j - 2*j).\nAnswer: -5*j + 10","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 472*n**2 - 17*n + 14*n - 494*n**2 + 3*n.\nAnswer: -22*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -13*r**2 + 901*r - 2611. Let m(k) = -7*k**2 + 451*k - 1305. Let v(s) = -5*m(s) + 3*w(s). Find h such that v(h) = 0.\nAnswer: 3, 109","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + -5 + -2 + 3 + sqrt(704) + (sqrt(704) - 2*sqrt(704))*4 + -3 + -3)**2.\nAnswer: 240*sqrt(11) + 6361","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -t**3 - 9*t**2 - t - 9. Let q = -28 + 19. Let h be n(q). Suppose 3*i = -4*r + 40, -5*r + 28 = i - h*i. What is the units digit of i?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 2, x: 2}. What is prob of sequence zzx?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*p + 8*p - 67*p - 63*p.\nAnswer: -130*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1408610057?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -2674 (base 12) in base 3?\nAnswer: -20001021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 57577 to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -693606375 divided by 693.\nAnswer: -1000875","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -173.7 in -22, 0.5, 2\/7, -10?\nAnswer: -22","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 24 + (42 - 22) - 46 - -29.\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:43 PM and 4:38 PM?\nAnswer: 235","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -210589 - 1.3?\nAnswer: -210590.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) be the first derivative of w**4\/12 + w**3\/9 - w**2\/3 + 19. Factor p(k).\nAnswer: k*(k - 1)*(k + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.8 + -4.2. Let k = -276\/167 + 603\/668. Which is the second smallest value? (a) 3 (b) j (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0 - -16. Suppose -8 = -6*c + s. Solve -10 = -c*w + 2*b, w - 4*b + 0 = -15 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 2296?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4140*o**3 + 2071*o**3 + 2070*o**3.\nAnswer: o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -7*i**2 + 6*i**2 - 5*i - 1 + 15. Let k be v(3). Which is smaller: -12 or k?\nAnswer: -12","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 155d744 - 19?\nAnswer: 155d729","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q - 6 = -s, -q - 14 = s - 4*s. What is the third biggest value in q, 0, 2\/7?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-two fifths of a gram in milligrams?\nAnswer: 8400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 125?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-664)\/(-5810)*(-14)\/(-12).\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 585 - 584.6. Which is the closest to -0.1? (a) w (b) 9 (c) 3 (d) -0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-8 - (-830)\/80) + -7 and -47\/130.\nAnswer: 520","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -184379 * 0.2\nAnswer: -36875.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f**2\/2 + 58203*f + 3387589209\/2 = 0. What is f?\nAnswer: -58203","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is -576\/883019 at most 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.781 - -0.411. Let t = a - -1.37. What is the biggest value in 4, -1.31, t?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 8 + 3*i - 8 + (2 - 3 - 7)*(-2*i + 1 - 1).\nAnswer: 19*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (-40)\/8 + (0 - 2)*-2\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2444 - 1738. What is the units digit of v?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.26 + 0.14. Suppose 0 = -2*m - 2*m + 4. Let n = -1073 + 1070. Which is the third biggest value? (a) n (b) m (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-107775)\/60*(-6 - (0 - 2))?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.5 (b) -3\/7 (c) 2 (d) -3924\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00003370044914 to seven dps.\nAnswer: -0.0000337","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 18740.875 times 0.05\nAnswer: 937.04375","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -49 - -95. Let f = x - 43.3. Let d = f - 2.69978. What is d rounded to four dps?\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 222 + -88. Let i = 22 + y. What is the units digit of i?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -8803*a**3*l + 34*a**2*l + 9*a*l - 2*l + 18 wrt a.\nAnswer: -52818*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 452 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - 90 = 87. What is the greatest common divisor of u and 295?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) be the third derivative of 0*l**3 - 1\/350*l**7 + 0*l**4 + 3\/100*l**5 + 0*l + 0 - 115*l**2 + 1\/100*l**6. Factor o(h).\nAnswer: -3*h**2*(h - 3)*(h + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-11)\/(55\/(-20))*(-3)\/6.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 5185961081 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = 3*y**3 + 2*y**2 - 4*y + 12. Let s be k(3). What is the highest common divisor of 66 and s?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*p**2 - 3*p**2 + 4*p**2)*((4*p - p - 2*p)*(-3 - 2 + 4) + 7*p + 60 - 60)*(-2 + 0 + 1).\nAnswer: 12*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -33.1 - -35. Let i = s + -0.8. Let v = i + -1.0999964. What is v rounded to 6 decimal places?\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u = v - 0*v - 213, 3*v + 3*u - 711 = 0. Let t = v + -139. Suppose 46 + t = -5*k. Which is smaller: k or -27?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 17827 - 9895. Suppose 0 = 2*m + 4*i - x, -4*m + 1331 = 4*i - 14541. Suppose 4*q = -3*d + 2981, 2*q + q - m = -4*d. Is d prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 277 and 485581.\nAnswer: 277","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -195 + -11702?\nAnswer: -11897","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15579 is divided by 165.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*w = 5*f + 35, -48*f + 51*f + 1 = -w for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*p**2 - 792*p.\nAnswer: -4*p*(p + 198)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = v + 4. Let k be p(-14). Let q be (k + 10)\/((-4)\/2). Suppose 3*a - a = 4. Solve q = a*c - c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 185 minutes before 2:59 PM?\nAnswer: 11:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -68.1 - -32.7. Let g = i + 35. Let h = -0.1 - g. What is the smallest value in -0.4, h, 4\/7?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 908.5594us?\nAnswer: 0.9085594","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z - s = 2*z - 10, -4*z = -2*s - 64. Calculate the highest common divisor of 70 and z.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -86*-13.9\nAnswer: 1195.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 128*h = -123*h - 198*h + 898. Solve -l = -5*a - 6, -h*l = -3*a + 132 - 137 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 24214.36ml to litres.\nAnswer: 24.21436","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -7, -4, 3, 14, 29, 48, 71?\n\"Answer: 2*m**2 - 3*m - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = 113*k - 2625. What is j(24)?\nAnswer: 87","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) be the third derivative of 0*d**3 + 0 + 0*d - 7*d**2 + 1\/6*d**4. Let t(n) be the third derivative of n**5\/20 + n**2. Determine t(i(c)).\nAnswer: 48*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 11256, 22676, 34264, 46020, 57944, 70036?\n\"Answer: 84*x**2 + 11168*x + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 265 and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 52890 = -4*j + 280238. Is j a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0.09831 (b) -1\/7 (c) -2 (d) -9 (e) 3\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 8929735 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h = 5*t - 39, 5*h - 2*t = -6*t - 15. Let d = h + 12. Suppose 4*x - 2*w - 117 = -7*w, -d = -5*w. What is the units digit of x?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -61 (base 10) in base 13?\nAnswer: -49","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 130300 to the nearest ten thousand.\nAnswer: 130000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-1)\/1)\/(-2)*-286. Is 2 - l\/(1\/1) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -69.41 - -69.41. Let a(i) = -i**3 + 6*i**2 - 5*i + 1. Let y be a(5). What is the fourth biggest value in -4, c, 1\/5, y?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-5)\/(-18))\/(2180\/654).\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 798.66 to 0 dps.\nAnswer: 799","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 33 - 57. Let q be 6\/f + 3\/4. Suppose 3\/4*d + 1\/4*d**2 + q = 0. Calculate d.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 31 a factor of 100597?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -4*b. Let i(y) = -35376*y. Give f(i(t)).\nAnswer: 141504*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r = -865 + 79. Suppose 4*h - 1230 - r = 0. Is h prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12\/11 at most as big as -3992?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = u**2 - u + 3. Let y be j(3). What is the third derivative of 4*q**2 - 7*q**3 + 3*q + 3*q**2 - 34*q**3 - y*q**3 wrt q?\nAnswer: -300","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6084?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (39\/9 - 4)*12. Suppose -62799980 = -2*y - k*r, 0 = -4*y - 0*y - 4*r + 125599980. What is y rounded to the nearest 1000000?\nAnswer: 31000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 22119 and 1413192.\nAnswer: 303","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 5578339635?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 78 - 22 - 56 - 6*r.\nAnswer: -6*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 16264 to the power of 1\/3, to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-13)\/(-4) + -3)*4. Sort -5, -2, a, -1 in decreasing order.\nAnswer: a, -1, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 16160 to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18*k + 30*k + 27*k - 2*k + 18*k.\nAnswer: 55*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 46 divided by 46?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 407 divide 592982683?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*3*(-1*sqrt(363)*-6 - (sqrt(363) + -4*(sqrt(363) + 2))**2) + 3 + -3.\nAnswer: -59958 - 8316*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11 (base 3) to base 7.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tuzuutkkkkqquz. Give prob of sequence tz.\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*r + 18*r - 33 = 5*j, -3*r - 1 = -j. Let z be (52\/22)\/(-2) + 14\/77. Sort -3, z, -7, r.\nAnswer: -7, -3, r, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -283 + 283. Which is smaller: -1\/5 or i?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(sqrt(400) + sqrt(400)*2*1)\/(sqrt(392)*-2)*1.\nAnswer: -45*sqrt(2)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m\/m**(-4)*m\/(m**(-6)*m)*m**(-2\/15)*m\/m**(1\/5) assuming m is positive.\nAnswer: m**(35\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5 times 23.5717?\nAnswer: 11.78585","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 610923 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -44478, -88955, -133432?\n\"Answer: -44477*x - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 200 and 10.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 528, 5\/631 in descending order.\nAnswer: 528, 3, 5\/631","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -8092 - -12304. Is 52 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve o - y = -5, 43 = -5*o - 1069*y + 1065*y for o.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 48695371?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -3 (b) 0.06 (c) 20\/47 (d) -0.3 (e) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = 3*q**2 - 3*q - 3. Let v(l) = l**2 + l + 1. Let k(x) = -3*v(x) - y(x). Let m(c) = 3*c - 4*c - 19*c. What is m(k(u))?\nAnswer: 120*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.039012 - 0.0442?\nAnswer: -0.005188","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 518 + -511.164. Let v = 0.056 - w. Let c = v + 1.08. What is c rounded to 0 decimal places?\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) be the second derivative of -23*o**6\/120 + o**5\/60 + 4*o**2 + 9*o. Let m(i) be the first derivative of f(i). Find the third derivative of m(n) wrt n.\nAnswer: -138","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-198)\/264)\/((-9)\/(-36))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -8\/947895 and 38\/6045.\nAnswer: 29384745","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 5887 and 87.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 997 is divided by 66?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 18\/63 - (-19)\/7. Let t(v) = v**3 - v**2 - 5*v + 3. Give t(q).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from clc. What is prob of picking 2 c?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -g**2 + 2*g - 33. Let q(l) = -2*l + 34. Let u(j) = -5*p(j) - 4*q(j). What is the hundreds digit of u(8)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = 11*n**3 + 2*n**2 + 30*n + 24. Let c(r) = -20*r**3 - 6*r**2 - 61*r - 48. Let m(p) = -5*c(p) - 9*z(p). Find g, given that m(g) = 0.\nAnswer: -8, -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -8*f - 198. Let r be s(-25). Solve -6 = 2*w + w - r*d, -4*w + 3*d - 7 = 0 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f, 1 z, and 1 d when three letters picked without replacement from zdoxfxxoodx?\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from akggkgkkgakk. Give prob of picking 1 g and 1 a.\nAnswer: 4\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*o - 2*d - 19, 0 = -19*o + 20*o - 5*d - 7. Let f be (-2)\/(-6) + 262801\/o. What is f rounded to the nearest 10000?\nAnswer: -90000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -69511 + 1?\nAnswer: -69510","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2475 + -2475.3. Which is the closest to m? (a) 4 (b) 2.5 (c) -0.04\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/2 in 3, -90, -0.06?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*h*v**3*z + 77*h*v*w**3 + 4*h*v*w**2*z + 4*v**3*w**3 + 2*v**3*z + v**2*w*z - 2*v*w**2*z + 11*v*w**2 - 2*w**3*z wrt w.\nAnswer: 462*h*v + 24*v**3 - 12*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -24*p + 18*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1*((1 - 5) + -3). Which is the third smallest value? (a) -3\/4 (b) 2\/9 (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -46 + 42.1. Let o = r - -8.9. What is the second biggest value in -0.5, 0.5, -1, o?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -17*k**3 + 3*k**2 + 2*k. Let l be v(-2). Let r be (-1084)\/(-30) - (-3574)\/(-26805). Calculate the greatest common factor of r and l.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 4\/3 in -2\/9, -3, -1\/31, 0.03?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1.03217 + -0.03217. What is the second biggest value in -0.1, k, -1\/5?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = 139*v + 118. Calculate h(-4).\nAnswer: -438","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express ((4 - 4 + 1)*(-3 + 1 + 3) + (-4 - 1 + 3)*(-2 - 2 + 6))*(-3*u + 212*u - 214*u + 26) in the form q*u + p and give q.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-16)\/21)\/(-1))\/(204\/(-238)).\nAnswer: -8\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -63.86248 rounded to two dps?\nAnswer: -63.86","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.4 - -0.3. Suppose -33 = -5*l - 2*z, -5*l - z = -4*z - 38. Suppose f = -2*f - 5*v - l, -5*f + 3*v = -45. Is f less than or equal to t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.668, -1\/4, 3, -1\/35 in descending order.\nAnswer: 3, 0.668, -1\/35, -1\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -285990 - 493*n + 285990 to the form a*n + l and give l.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 11 + -1. Let z = -7 + t. Suppose -139 = -z*s + 98. Is s a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -13*o**2 - 42 - o + 8*o**2 + 2*o**3 + 50 + 5*o**2 to the form l*o + z*o**3 + n*o**2 + y and give l.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -17, -3, -6, -5.\nAnswer: -17, -6, -5, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*((-4*(sqrt(272) + sqrt(272) + 0) - sqrt(272) - sqrt(272) - (-3 + sqrt(272) + -1)) + 4)*-1)**2.\nAnswer: -2816*sqrt(17) + 131904","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 8730162 and 602.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 689 minutes before 4:24 AM?\nAnswer: 4:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 bigger than -2\/3387?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 212154 (base 6) in base 13?\nAnswer: 7b88","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -1491 plus 1.1?\nAnswer: -1489.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 638?\nAnswer: 2, 11, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in twenty-one quarters of a milligram?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 872231378?\nAnswer: 2, 211, 2066899","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -95314810 divided by -4.\nAnswer: 47657405\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 110010000110101100011010 + 0?\nAnswer: 110010000110101100011010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one fifths of a centimeter in millimeters?\nAnswer: 42","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -m**3 - 14*m**2 - 16*m - 32. Give f(-13).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*k = 7*n - 17, -17*n + 14*n + 3 = 0 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -24135 - -24104. Sort -2, p, 0, -84 in decreasing order.\nAnswer: 0, -2, p, -84","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k, 2 b, and 1 o when four letters picked without replacement from {k: 1, a: 1, b: 2, o: 1}?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1795 and -0.2.\nAnswer: 359","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 + 231114\/9 - (-8)\/12 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 6, u: 2}. Give prob of picking 1 u and 1 y.\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (-348)\/(-5336)*69\/6\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -34, -66, -98, -130, -162, -194?\n\"Answer: -32*l - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = 5*k**2 + 2*k - 6. Let t be w(5). Suppose 5*q - 237 = 4*i, 0 = -3*q + 2*i - 4*i + t. What is the units digit of 2\/(q\/39 - 1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) be the third derivative of 17*q**4\/12 - 389*q**3\/6 + 30*q**2 + 3. What is the first derivative of z(o) wrt o?\nAnswer: 34","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2 = o, 2*j - 4*j + 3*o + 10 = 0 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a and 3 f when four letters picked without replacement from {y: 6, a: 1, l: 1, f: 7}.\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:19 PM and 6:42 AM?\nAnswer: 503","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(550)\/(-2*sqrt(10)))\/sqrt(5).\nAnswer: -sqrt(11)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*g - 2 - 9*g - 6*g.\nAnswer: -3*g - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 78709.37nm?\nAnswer: 0.00007870937","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*r - 287 = -0*r. What is the units digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 68\/9 and 2\/(-5)*(-1100)\/30.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.779 - 1.158. Let r = 0.378998227 + h. What is r rounded to 7 decimal places?\nAnswer: -0.0000018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 351318 minus 0.4?\nAnswer: 351317.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -210 + 1640*q - 152 - 64 + 704 - 35*q**2 - 43 = 0. What is q?\nAnswer: -1\/7, 47","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g - 32 = t, 6*g - 9*g = 2*t - 1. Let j(f) = -6*f - 7. Let k(a) = 5*a + 6. Let d(r) = -6*j(r) - 7*k(r). Let s(o) = -3*o. Determine t*d(q) - 3*s(q).\nAnswer: 2*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -140203545 (base 7) in base 3?\nAnswer: -122010000110220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) be the second derivative of -10\/3*w**3 + 0 + 0*w**4 + 0*w**5 - 8*w - 7\/30*w**6 + 0*w**2. Find the second derivative of v(q) wrt q.\nAnswer: -84*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 1675 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -5*c + 2. Let k(u) = -3*u + 1. Let o(j) = 8*k(j) - 5*x(j). Let b be o(6). Solve 3*d + 1 = 2*g + 2, -5*g - 6 = -b*d for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*p + 13 = 5*w, -34 = -5*p - 14 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2282?\nAnswer: 2, 7, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 28 + -16. Suppose d*k = 3*s + 8*k - 540, 0 = -5*s + 5*k + 895. Calculate the greatest common divisor of s and 22.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*a - 25, 3*a = -3*u - 0 + 24. Let b = 130 - 93. Calculate the remainder when b is divided by u.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 13\/432193 and 27\/80408?\nAnswer: 3457544","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) be the second derivative of 1\/6*t**3 - 8*t + 0 + t**2. What is z(3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/5, 25\/83, -2, -1075 in increasing order.\nAnswer: -1075, -2, 25\/83, 3\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s = 6*s - 153. Let g(l) = 53 + 3*l - s - 2*l + 234*l**2. Is 47 a factor of g(-1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -23 - -15. Let u = k + 13. Sort u, 1\/16, 4 in decreasing order.\nAnswer: u, 4, 1\/16","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 11a + -296122?\nAnswer: -296005","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2972 = -170*o - 1887 + 3505 for o.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -4*u - 1. Let d = -70 + 61. Is h(d) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -763, -5 in ascending order.\nAnswer: -763, -5, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express (385*u**2 - 105*u**2 + 86*u**2 + 612*u**2)*(2*u - 2*u + 2*u**2) - u**4 + u**3 - u**3 as t*u + c*u**4 + z*u**2 + s*u**3 + i and give c.\nAnswer: 1955","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1369.9 - 1309. Let p = z - 58. Let m = 2.988 - p. Round m to two dps.\nAnswer: 0.09","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence whwh when four letters picked without replacement from {w: 10, h: 4}?\nAnswer: 45\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2736)*-1*4 - (sqrt(2736) + 1*4*sqrt(2736)))**2.\nAnswer: 221616","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a - 5*u = -15, -4*u + 3 = 3*a - 2*a. Let y(i) = -3*i. Let z be y(4). Let l be 21\/z - (-2)\/(-8). Put l, 3, a, 0 in descending order.\nAnswer: 3, 0, l, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 117365, 117361, 117355, 117347, 117337, 117325, 117311?\nAnswer: 117295","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -i - 4*x - x + 14, -5*x + 50 = -5*i. Is i\/30 - (-17092)\/10 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2 - -3. Suppose -o = -0 - r. Let h(l) = -3. Let u(w) = -w - 1. Calculate o*u(d) - h(d).\nAnswer: -d + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1129\/33 - 104\/3. Suppose -4*x = -p - 71 + 78, 3*x - p = -7. Are r and x nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 32 + 31?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/((u\/u**4*u)\/u)*u**(-1\/4))\/(u**1)**47 assuming u is positive.\nAnswer: u**(-173\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 905768, 905769, 905772, 905777, 905784, 905793, 905804?\n\"Answer: a**2 - 2*a + 905769","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k**5 - 40*k**4 - 65*k**3 - 30*k**2 = 0. Calculate k.\nAnswer: -6, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from idddvmdvdiivgdg. Give prob of picking 2 d and 2 i.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = s + 12. Let l be d(-7). Solve 0*i = l*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-5)\/3)\/((-4)\/12). Let x(d) be the first derivative of 7 + 0*d + 1\/7*d**4 - 2\/35*d**i - 2\/7*d**2 + 2\/21*d**3. Factor x(b).\nAnswer: -2*b*(b - 2)*(b - 1)*(b + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -341*i**2 + 20*i**3 - 20*i**3 + i + 17*i**2 - i**4 as t + r*i**2 + z*i + q*i**3 + o*i**4 and give o.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-3*4*-1*sqrt(468) + 6*(sqrt(468) + -1 + sqrt(468) + sqrt(468)) + sqrt(468) + 0 + 2)*-1*1 + -1)*6)**2.\nAnswer: -40176*sqrt(13) + 16191252","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g - 5 = -11. Let s be ((-1)\/g)\/(2\/4). Let k(h) = 8*h. What is k(s)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g - 6*v - 35 = -v, g - 12 = 2*v. Suppose 0 = -w + g - 0. Let p be w*(-15)\/(-6) - 1. Solve -2*k - 11 = k - p*x, -2*x = 2*k - 16 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = 11*j - 15. Let n be w(7). Suppose -123 - n = -5*x. Calculate the lowest common multiple of 7 and x.\nAnswer: 259","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (8 - 9 + 14)*(-n + 6*n - 3*n)*(-5 + 1 + 3) to g + a*n and give a.\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 41472.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 27296 is divided by 457?\nAnswer: 333","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28 = 31*p - 34. Let v = -19 - -25. Let k be 1*(1 - 1 - 1). Put v, p, k, -2 in ascending order.\nAnswer: -2, k, p, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3*((-2)\/8)\/(300\/480)*(-2)\/4\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 + 415*u**2 - 222*u**2 - 2 + 206*u**2 + 2153*u - 2150*u as k*u + w*u**2 + f and give w.\nAnswer: 399","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0001053 rounded to five dps?\nAnswer: -0.00011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o and 1 u when two letters picked without replacement from quozu.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 56, 58, 50, 26, -20?\n\"Answer: -s**3 + s**2 + 6*s + 50","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (-20)\/25 - ((-6)\/(-4) - 327\/120*-12)\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g - 1 = -2*g, 7 = t - 3*g. Let p(w) = w - 9. What is p(t)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -d**2 - 2*d + 2. Let g be f(-4). Let t(h) = 11*h**3 - 17. Let y(j) = 2*j**3 - 3. Let o = -559 + 593. Calculate g*t(q) + o*y(q).\nAnswer: 2*q**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (368\/230)\/(2\/(-5)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*k = -9*k + 7. Let z(y) be the second derivative of 0*y**5 + 0*y**2 + 0 - 2*y - 1\/84*y**k - 1\/60*y**6 + 0*y**3 + 0*y**4. Factor z(b).\nAnswer: -b**4*(b + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5766930315 to the power of 1\/6, to the nearest integer?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 112 + -27 - (18 - (26 - 10)).\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f + 19 = -20. Calculate the remainder when (-3)\/9 + (-308)\/(-6) is divided by f.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8*q - 14*q + 9*q)*(2*q**3 + 0 + 0*q**3 - 9)*(0*q - 3*q + 6*q) + (2*q**2 + q**2 - 4*q**2)*(-3*q**2 + q**3 + 3*q**2).\nAnswer: 17*q**5 - 81*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 1 divided by 171\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*b**4 + 108*b**3 - 940*b**2 + 2772*b - 1936.\nAnswer: -4*(b - 11)**2*(b - 4)*(b - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -11*r. Let i(d) = d**2 - 4*d + 4. Let f be i(4). Let b be f\/14 + 72\/(-56). What is z(b)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1\/5 (b) 1\/7 (c) -101\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = 4*h - 22. Let r be q(5). Let z be (1 - r) + 15 + -14. Suppose -6*v + 5218 = -z*v. Is v a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000414080733 rounded to six dps?\nAnswer: -0.000414","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 18\/4 + 1\/(-2). Suppose 10 = 3*o + 2*o. Solve 12 = -o*q + g for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9791 is divided by 3132?\nAnswer: 395","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 - (-13 - -2 - (-78 - -73)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m - 8 = 12. Let o = 7 - m. Solve z - 4*z = -o for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2879075 to the power of 1\/4, to the nearest integer?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 99 divide 155364286?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 139 is divided by 47?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 131103 (base 4) to base 8.\nAnswer: 3523","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/(-4) + 5 + 1*-3?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 32*v**6 + 65443*v**3 - 9*v**2 + 9*v + 7124?\nAnswer: 3840*v**3 + 392658","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 4.29 * 30\nAnswer: 128.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -263.7 - -263.6. Which is the closest to 1? (a) i (b) 4\/3 (c) 5 (d) -0.435\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 133420 is divided by 1213.\nAnswer: 1203","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.19 in 1\/5, -1\/28, 1\/37, -1?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s = 6*s + 834. Let m be (171 + -5)\/((-2)\/(-9)). Let w = s + m. What is w rounded to the nearest one hundred?\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -q**2 + 162*q + 998. Determine l(-6).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.05 - -2.05. Let a = 3 - m. Let r = -1.94 - -1.54. What is the smallest value in 0.2, a, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -259*j**2 - 647 wrt j.\nAnswer: -518*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r - 9561 - 2079 = -2*m, -4*r = 8. Is m prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -28 - -29. Sort u, 2, -50, -1\/5 in descending order.\nAnswer: 2, u, -1\/5, -50","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2038*x**5 - 2432*x**2 wrt x.\nAnswer: -122280*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is -5\/142 >= 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 29053498 divided by -1?\nAnswer: -29053498","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.3342829 hours to microseconds.\nAnswer: 1203418440","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d = -3*j + 665, 4*d = 2*j - 174 - 248. What is the smallest common multiple of j and 7 + -2 - (-16)\/8?\nAnswer: 1533","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 270527.\nAnswer: 270527","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rrrfxfrx. Give prob of picking 2 x.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**(-6)\/r*r)\/((r**(-4\/7)*r)\/r))\/((r\/(r**4\/r)*r)\/(r\/r**2)) assuming r is positive.\nAnswer: r**(-38\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -9 + 20. Suppose 6*r - f*r + 100 = 0. Solve r = 5*o - 0 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -36601 or -36596?\nAnswer: -36596","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*w + 62 + 7 = 21 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = 4225*i - 549337. Give x(130).\nAnswer: -87","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3270 - -5316. Suppose -4*q + o + 2045 = 0, 0*o = -4*q + 2*o + z. Let j = -304 + q. What is the units digit of j?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 34? (a) -1 (b) -19\/6 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -5 (b) 14 (c) -4\/5 (d) -6\/319 (e) -1 (f) 4\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 17 + -12. Suppose 22 + 3 = -z*r. Suppose 0 = 4*l - 2*q + 14, 4*q - 27 + 5 = 2*l. Sort l, r, 3 in ascending order.\nAnswer: r, l, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2 - ((-8 - -5) + 29). What is the remainder when 55 is divided by (-1)\/(27\/c - (1 - 2))?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2 - 8 - -3) + -2.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 5 + 2*c)*(c**3 + c**3 + c**3) + 3 - 2 - c**4 - c**4.\nAnswer: 4*c**4 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = j - 30. Suppose -j = -k - 26. Solve -l = l + k for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = o**2 + 74588. Let b(f) = 30*f. Calculate b(v(s)).\nAnswer: 30*s**2 + 2237640","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 228, 434, 640, 846?\n\"Answer: 206*l + 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -850 + 850 + n**2. Let b(q) be the third derivative of -5*q**4\/8 - 64*q**2. What is c(b(i))?\nAnswer: 225*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 102\/(-85)*(-10)\/2.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 435434 (base 8) in base 13?\nAnswer: 51716","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in thirty-two fifths of a minute?\nAnswer: 384","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 5, 2, -4, -19, -52, -12 in descending order.\nAnswer: 5, 3, 2, -4, -12, -19, -52","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 1, a: 7, o: 1, u: 2, h: 5}. Give prob of picking 1 o, 2 h, and 1 u.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -r - 7*r - 6*r**2 + 13*r - r + r.\nAnswer: -6*r**2 + 5*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23 = 3*t - 19. Let o(r) = -6*r + 2. Let d be o(-2). What is the highest common divisor of t and d?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - v - 4)*(2*v - 314 + 12*v**2 + 313 - 3*v**2).\nAnswer: -9*v**3 - 2*v**2 + v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 1\/3654 and -1\/22.\nAnswer: 40194","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 10390257, 10390237, 10390217, 10390197, 10390177?\nAnswer: 10390157","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 330947 is divided by 330832?\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -169, -2097, -5311, -9811, -15597, -22669, -31027?\nAnswer: -40671","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) be the second derivative of -q**5\/20 - q**4\/12 - q**3\/6 + q**2\/2 + q. Let g(z) = -4*z**3 - 5*z**2 - 5*z + 4. What is -g(i) + 5*p(i)?\nAnswer: -i**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 21 - (8 - 12 - -33)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 403397575?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -19, -57, -107, -157, -195, -209, -187?\n\"Answer: 2*q**3 - 18*q**2 + 2*q - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 19 - (-11 - (7 - 18)). Which is the nearest to -0.1? (a) 1\/25 (b) f (c) -1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -470*(-5 - (33\/(-6) - 0)). Let k = u + 284. What is the highest common factor of 196 and k?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z**(-3)\/z*(z**(-4)*z)\/z*z**(-32)*z**(-3\/4)*z*z*(z\/z**(2\/19))\/z*z*(z*z*z*z**2)\/(z**2\/z) assuming z is positive.\nAnswer: z**(-2573\/76)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = 4*c**3 + 2*c + 28 + 29 + 0*c**2 - 2*c**2. Let d(o) = -7*o**3 + 3*o**2 - 3*o - 115. Let h(b) = -3*d(b) - 5*k(b). Is h(0) a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -129, -65, 51, 225, 463?\n\"Answer: i**3 + 20*i**2 - 3*i - 147","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1261 and 97?\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -13508565 by 5.\nAnswer: -2701713","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 407188?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uxg when three letters picked without replacement from {j: 1, a: 2, v: 1, x: 1, g: 1, u: 1}?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) be the third derivative of f**6\/60 - f**5\/15 + 44*f**2. Factor j(q).\nAnswer: 2*q**2*(q - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17724883 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 40815 (base 13) in base 5?\nAnswer: 12144424","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -n - 15. Let l be v(0). Let u = 15 + l. Solve u = p - 3, 3 = -3*c + 2*p - 0 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -8 + 29 + 7 + -21?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.167 and 807.04?\nAnswer: -134.77568","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 17 - 14. Suppose -2*p - 4*v - 30 = 0, -p + 3*v - 2 = c. Let t = 16 + p. Solve -t*u - 2 - 3 = 0 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 + 0 - 7)*(-7*b**3 - 11*b**3 + 7*b**3)*(4*b - 3*b - 3*b) in the form x*b**3 + v*b**4 + d + u*b**2 + g*b and give v.\nAnswer: -176","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -103 + 110. Suppose 6*o - g*o = -15. What is the greatest common factor of o and 30?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*j + 12*j - 24. Suppose -j*a = -2*s + 4, -3*a - 10 - 11 = 2*s. Let f be (-9)\/4 + 4\/16. Sort 40, f, s in ascending order.\nAnswer: s, f, 40","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -t**2 - 61*t - 433. What is c(-41)?\nAnswer: 387","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven quarters of a week in minutes?\nAnswer: 27720","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*p = -4*n - 4, -5*n - 2*p - p = -32 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13 is divided by 7*(135\/35 + -3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*((sqrt(162)*4 - sqrt(162)) + -4) - (2*sqrt(288))\/sqrt(9)*-4.\nAnswer: -16 + 140*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (-78)\/(-4)*(-1226)\/(-1839)\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6431 is divided by 2592.\nAnswer: 1247","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ww when two letters picked without replacement from fwcfffcwwcxxxxwf.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -1 + 472243?\nAnswer: 472242","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 1282639, 1282640, 1282641, 1282642, 1282643?\n\"Answer: r + 1282638","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1060060610 is divided by 9113.\nAnswer: 9111","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 4, b: 6}. Give prob of picking 4 r.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1\/4*b**2 - 11\/4*b + 0.\nAnswer: b*(b - 11)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k - k + 212 = -4*c, 0 = -2*k + 5*c + 139. Let r = -4 + 22. What is the highest common factor of k and r?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = 14*t - 20. What is the hundreds digit of u(17)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-6 + 52)*(-2)\/(-4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/7 in -37, 7\/6, -5, 0.05, -3\/305?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -m**2 + 2 + m - 8*m + 0*m**2. What is the smallest common multiple of d(-4) and 8?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/11, -0.1, -1, -0.4, -1\/17 in increasing order.\nAnswer: -1, -0.4, -0.1, -1\/11, -1\/17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -1713*y**4 + 3*y**3 + 7*y**2 + 325929?\nAnswer: -6852*y**3 + 9*y**2 + 14*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 118229\/16 - 7385. Find the common denominator of f and -55\/11114.\nAnswer: 88912","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 40 + -40. Suppose -4*q = u + 4*u, i = -4*q + 4*u. Solve q = 5*a - 10, -2*n - 16 = -4*a - a for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 4\/(-10) - (-312)\/130. Which is the nearest to f? (a) -1\/6 (b) 2\/13 (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -d - 5. Let z be v(4). Let t = 9 + z. Solve t = -r - r - 2 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o, 1 p, and 1 h when three letters picked without replacement from {d: 1, p: 2, l: 8, o: 2, h: 1}.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 533, 948, 1245, 1424, 1485?\nAnswer: 1428","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 635.5603ug?\nAnswer: 0.0000006355603","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u = 2*u + 126. Does 29 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -15*y - 5. Let n(x) be the third derivative of x**4\/8 + x**3\/6 + 128*x**2. Determine -2*l(q) - 11*n(q).\nAnswer: -3*q - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/(-4)*0\/3?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(385)\/sqrt(343))\/sqrt(11).\nAnswer: sqrt(5)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -315*p = -322*p - 231. Let q be -4*p\/(-8)*105\/(-126). Suppose 6*k - 45 = 3*k. Which is greater: k or q?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -w**3 + 3*w**2 - 3*w - 3. What is x(3)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3561 + -3560.99844. What is h rounded to three decimal places?\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*t - 26*t + 137*t + 22*t - 87*t.\nAnswer: 41*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 172074 and 4284?\nAnswer: 714","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 595682424?\nAnswer: 2, 3, 306421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 1043373247?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = l**3 - 22*l**2 + l - 30. Let f be x(22). Let g be (-27)\/(-6)*f\/12 - -3. Which is smaller: -1\/30 or g?\nAnswer: -1\/30","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-58)\/5 - 4\/10. Let v be 1\/(-1 + m\/(-10)). Suppose -k - 48 = -v*k. What is the remainder when 22 is divided by k?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (1 + -3)*2\/(-188)*(-143 - -145)\nAnswer: 2\/47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -70.8100009678 - -70.81. What is v rounded to seven decimal places?\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) be the second derivative of -5*v**3\/6 + 3*v**2\/2 + v + 3. Let a(o) = 10*o - 5. What is -3*a(g) - 5*y(g)?\nAnswer: -5*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 - -9 - (0 - 0).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -8*n - 1. Let l(b) = 53 - 105 + 53 + 7*b. Let w(p) = p + 1. Let k be w(-7). Determine k*z(y) - 7*l(y).\nAnswer: -y - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -x + 7*x - 11*x - 10. Let j be d(-3). Solve -r = 4*z - 11, -r + 13 = r + j*z for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1026 a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 1785, 1661, 1537, 1413?\n\"Answer: -124*b + 1909","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 + s**2 + s**2 + 4*s**4 + 180*s**3 - 178*s**3 + s in the form n*s + c*s**4 + v + f*s**2 + l*s**3 and give v.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-8 - -2 - 3) + (48 - 10).\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*u**5 - u**5 + 2*u**5 + 0*u**2 + 0*u**2 + 3*u**5 + (-u + u - u**2)*(4*u**3 + 0*u**3 - 3*u**3) - u**5 + u**5 - 6*u**5 - u**3 - u**5 + u**3.\nAnswer: -9*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13964 = 7*i - 3*i. Let g be 2\/(-15 + 1) - 729930\/406. Let a = i + g. Is a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -13.610458 and -0.2.\nAnswer: 2.7220916","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + 3 - (-1 + 0)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (1\/(-8))\/(2\/(-1500)). Let x = g - 93. Let z = -6 + 1. Sort 0, x, z in ascending order.\nAnswer: z, 0, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*d**3\/17 - 54274*d**2\/17 + 54272*d\/17 = 0. What is d?\nAnswer: 0, 1, 27136","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-156)\/(-13) - 1\/(1\/3). Suppose f*w + 4914 - 18801 = 0. Is w a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/7 >= -23?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 2 - 4)*(0 - 2*s**2 + 0 + (4 + 2*s - 4)*(21*s - 29*s + 27*s)).\nAnswer: -108*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -2350 divided by -25?\nAnswer: 94","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -75*y + 81*y - 12. What is the second derivative of -7 - 19 - 157*z**y - 3 + 2*z + 2 wrt z?\nAnswer: -314","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5 (base 10) to base 2.\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -x + 25*x**2 + 10*x**2 + 7*x + 22*x**2 - 3*x to the form k + b*x**2 + j*x and give j.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-1250)\/(-35))\/((-27)\/168). Suppose 0 = -4*a + 4*h + 904, a - 290 = -2*h - 76. Let l = x + a. Which is smaller: 2\/7 or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1693253 < -1693257?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1630 + -3111?\nAnswer: -1151","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(130)*1*3)\/(1*(sqrt(90) - sqrt(10))).\nAnswer: 3*sqrt(13)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express 18*n**4 - 731*n**3 - 27*n**4 - 78*n**3 - n - 2*n**4 + 10*n**4 + n**2 as t*n + z*n**3 + u*n**2 + l*n**4 + d and give z.\nAnswer: -809","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence llyy when four letters picked without replacement from fymyll?\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 5 (b) 3\/116 (c) 5.1 (d) 2\/17\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:09 AM and 8:16 AM?\nAnswer: 127","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.7 and -217666873335.75.\nAnswer: -217666873335.05","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3 - (-32)\/12)*(-6 + 0)\/(6\/4)?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 20686858 is divided by 56832?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 12510?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*r + 1 - 1 + (-1 + 1 + 1)*(-r + 0*r + 2*r) + 27 - 27 - 8*r)*(129*r**3 - 168*r**3 + 0*r**4 - r**4).\nAnswer: 4*r**5 + 156*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = 76*r - 210. What is the remainder when 309 is divided by h(4)?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 243444240 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*k + 50 = -335. What are the prime factors of k?\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-6)\/(-72)*244 - 2) + (-4)\/(-6)\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 2 and 117.\nAnswer: 234","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}